- Author:
- Shelley Fong <s.fong@auckland.ac.nz>
- Date:
- 2021-11-10 14:40:25+13:00
- Desc:
- Fixing exposure files
- Permanent Source URI:
- https://staging.physiomeproject.org/workspace/705/rawfile/2fe62170795cead474fd15120998d64bb1d6e493/temp.m
tic;
[VOI, states, ALGEBRAIC, CONSTANTS, rates] = solvemodel();
toc;
function [ALGEBRAICvariablecount] = getALGEBRAICvariablecount()
% used later when setting a global variable with the number of ALGEBRAIC variables.
% note: this is not the "main method".
ALGEBRAICvariablecount =138;
end
% there are a total of 46 enp.stimduries in each of the rate and state variable arrays.
% there are a total of 116 enp.stimduries in the constant variable array.
%
function [VOI, states, ALGEBRAIC, CONSTANTS, rates] = solvemodel()
[LEGEND_STATES, LEGEND_ALGEBRAIC, legend_VOI, LEGEND_CONSTANTS] = createLegends();
% create ALGEBRAIC of correct size
global ALGEBRAICvariablecount; ALGEBRAICvariablecount = getALGEBRAICvariablecount();
% change amoiunt of total givben chemical species available (labels) by a
% multiplication factor (Gmult)
labels = {'q_AC_init in component environment (fmol)', ...
'q_cAMP_init in component environment (fmol)', ...
'q_R_B1_init in component environment (fmol)', ...
'q_Gs_init in component environment (fmol)', ...
'q_R_M2_init in component environment (fmol)', ...
'q_Gi_init in component environment (fmol)'};
% labels = {'q_R_B1_init in component environment (fmol)', ...
% 'q_R_M2_init in component environment (fmol)'};
[igs,~,~] = find_indices(labels, cellstr(LEGEND_CONSTANTS), cellstr(LEGEND_STATES), cellstr(LEGEND_ALGEBRAIC));
Gmult = 1; %1e3;
[init_states, CONSTANTS] = initConsts(Gmult, igs);
% ------------------------------------------
% set timespan to solve over
VOI = [0,1e-5]; % fast timescales due to fkc
% VOI = [0 1e-3];
% ------------------------------------------
% set numerical accuracy options for ode solver
options = odeset('reltol', 1e-07/3, 'abstol', 1e-07/3, 'maxstep', 1e-9); % step: 1e-4 % no need for step=1e-9. same as 1e-5
% extra options for stimuli [ L_B1, L_M2 ] settings
p = struct;
% p.stimtimes = [[1,20];[3,40]];
p.stimthreshold = [-0.95, -0.95]; %[1e-3,1e-3];
p.stimholding = [1e-9,1e-9];
p.stimmag = [1.888e1,1.888e1]; %[1e6,1e6];
p.stimstart = [1.2e-6,3e-6];
p.trAMP = [1e-6,1e-6]; % seconds for rAMP start
p.stimdur = [1,1];
if false
p.stimmag = [0,0];
end
p.freq = [1,1]; %[0.25,0.25]; % per second
% solve model with ode solver
[VOI, states] = ode15s(@(VOI, states)computeRates(VOI, states, CONSTANTS,p), VOI, init_states, options);
% compute ALGEBRAIC variables
[rates, ALGEBRAIC] = computeRates(VOI, states, CONSTANTS,p);
ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, states, VOI,p);
labels = {'q_L_B1_init in component environment (fmol)', ...
'q_L_M2_init in component environment (fmol)', ...
'q_LR_B1Gs in component environment (fmol)', ...
'q_LR_M2Gi in component environment (fmol)', ...
'q_aGs_GTP in component environment (fmol)', ...
'q_aGi_GTP in component environment (fmol)', ...
'q_aGs_GTP_AC in component cAMP (fmol)', ...
'q_AC in component environment (fmol)', ...
'q_cAMP in component environment (fmol)', ...
'q_ATP in component environment (fmol)'};
[i_con, i_st, i_alg] = find_indices(labels, cellstr(LEGEND_CONSTANTS), cellstr(LEGEND_STATES), cellstr(LEGEND_ALGEBRAIC));
if true
[~, i_st, i_alg] = find_indices(labels, cellstr(LEGEND_CONSTANTS), cellstr(LEGEND_STATES), cellstr(LEGEND_ALGEBRAIC));
plot_selected(i_st,VOI,states,legend_VOI,LEGEND_STATES,sprintf('LR_B1\nGmult=%g', Gmult),ceil(sqrt(length(i_st))))
plot_selected(i_alg,VOI,ALGEBRAIC,legend_VOI,LEGEND_ALGEBRAIC,sprintf('LR_B1\nGmult=%g', Gmult),ceil(sqrt(length(i_alg))))
end
% plot chemostat concentrations: they should be constant, or machine
% error order
labels = {...
'L_B1_T in component environment (fmol)',...
'L_M2_T in component environment (fmol)',...
'R_B1_T in component environment (fmol)',...
'Gs_T in component environment (fmol)',...
'R_M2_T in component environment (fmol)',...
'Gi_T in component environment (fmol)',...
'adenosine_T in component environment (fmol)'
};
labels_init = {...
'q_L_B1_init in component environment (fmol)',...
'q_L_M2_init in component environment (fmol)',...
'q_R_B1_init in component environment (fmol)',...
'q_Gs_init in component environment (fmol)',...
'q_R_M2_init in component environment (fmol)',...
'q_Gi_init in component environment (fmol)',...
'q_ATP_init in component environment (fmol)'
};
[~, ~, i_alg] = find_indices(labels, cellstr(LEGEND_CONSTANTS), cellstr(LEGEND_STATES), cellstr(LEGEND_ALGEBRAIC));
[i_con, ~, i_algstim] = find_indices(labels_init, cellstr(LEGEND_CONSTANTS), cellstr(LEGEND_STATES), cellstr(LEGEND_ALGEBRAIC));
plot_2per(i_algstim,i_con, i_alg,VOI,CONSTANTS,ALGEBRAIC,LEGEND_ALGEBRAIC,LEGEND_CONSTANTS,sprintf('chemostats\nGmult=%g', Gmult),3)
% debug R_B1_t
if false
labels = {'q_R_B1 in component LRGbinding_B1AR (fmol)','q_R_B1 in component GsProtein (fmol)'};
[~, i_st, ~] = find_indices(labels, cellstr(LEGEND_CONSTANTS), cellstr(LEGEND_STATES), cellstr(LEGEND_ALGEBRAIC));
plot_selected(i_st,VOI,states,legend_VOI,LEGEND_STATES,sprintf('R_B1\nGmult=%g', Gmult),ceil(sqrt(length(i_st))))
end
% debug aGs_GTP and aGiGTP
if true
labels = {...
'q_R_B1GsP in component environment (fmol)',...
'q_R_M2GiP in component environment (fmol)',...
'q_aGs_GTP in component environment (fmol)',...
'q_aGi_GTP in component environment (fmol)',...
'vphos_R_B1Gs in component GsProtein (fmol_per_sec)',...
'vphos_LR_B1Gs in component GsProtein (fmol_per_sec)',...
'vphos_R_M2Gi in component GiProtein (fmol_per_sec)',...
'vphos_LR_M2Gi in component GiProtein (fmol_per_sec)',...
'vact1_Gs in component GsProtein (fmol_per_sec)',...
'vact2_Gs in component GsProtein (fmol_per_sec)',...
'vact1_Gi in component GiProtein (fmol_per_sec)',...
'vact2_Gi in component GiProtein (fmol_per_sec)',...
};
[~, i_st, i_alg] = find_indices(labels, cellstr(LEGEND_CONSTANTS), cellstr(LEGEND_STATES), cellstr(LEGEND_ALGEBRAIC));
plot_selected(i_alg,VOI,ALGEBRAIC,legend_VOI,LEGEND_ALGEBRAIC,sprintf('ag_GTP\nGmult=%g', Gmult),ceil(sqrt(length(i_alg))))
plot_selected(i_st,VOI,states,legend_VOI,LEGEND_STATES,sprintf('ag_GTP\nGmult=%g', Gmult),ceil(sqrt(length(i_st))))
end
% plot all q variables to confirm if we are ss
if false
figure();
n = ceil(sqrt(size(states,2)));
for i=1:size(states,2)
subplot(n,n,i)
plot(VOI, states(:,i));
xlabel(legend_VOI);
title(LEGEND_STATES(i,:));
end
end
end
function [] = plot_selected(ids,x,y,legend_x,legend_y,titlestr,ns)
istart = 30;
figure();
% plot stimuli
for i = 1:length(ids)
subplot(ns,ns,i)
plot(x(istart:end), y(istart:end,ids(i)));
xlabel('time (s)');
str = split(legend_y(ids(i),:), ' ');
str = legend_y(ids(i),:);
l = legend(str);
set(l,'interpreter','none');
end
suptitle(titlestr)
end
function [] = plot_2per(i_alg0,id0,ids,x,y0,y,legend_y,legend_y_con,titlestr,ns)
istart = 30;
figure();
% plot 2 per subplot
if i_alg0
idoffset = length(i_alg0);
for i = 1:idoffset
subplot(ns,ns,i)
plot(x(istart:end), y(istart:end,i_alg0(i)),'x-'); hold on;
plot(x(istart:end), y(istart:end,ids(i)));
xlabel('time (s)');
diff = mean(abs(y(istart:end,i_alg0(i)) - y(istart:end,ids(i))));
str = split(legend_y(i_alg0(i),:),' in');
title([str(1), strcat('avg abs error = ', num2str(diff))]);
% legend('init','sumspecies');
str1 = split(legend_y(i_alg0(i),:),' ');
str2 = split(legend_y(ids(i),:),' ');
legend(str1(1),str2(1));
end
else
idoffset = 0;
end
for i = (idoffset+1):length(ids)
subplot(ns,ns,i)
plot(x(istart:end), ones(length(x)-istart+1,1)*y0(id0(i-idoffset)),'x-'); hold on;
plot(x(istart:end), y(istart:end,ids(i)));
diff = abs(mean(y(istart:end,ids(i))) - y0(id0(i-idoffset)));
xlabel('time (s)');
str = split(legend_y(ids(i),:),' in');
title([str(1), strcat('avg abs error = ', num2str(diff))]);
legend(legend_y_con(id0(i-idoffset),:),legend_y(ids(i),:));
end
suptitle(strcat(titlestr,' eps = ',num2str(eps)))
end
function [i_con, i_st, i_alg] = find_indices(labels, LEGEND_CONSTANTS, LEGEND_STATES, LEGEND_ALGEBRAIC)
% return the indices for the selected labels
all_legends = [LEGEND_CONSTANTS; LEGEND_STATES; LEGEND_ALGEBRAIC];
i_con = [];
for i = 1:length(labels)
i_con = [i_con; find(strcmp(labels{i},LEGEND_CONSTANTS))];
end
i_st = [];
for i = 1:length(labels)
i_st = [i_st; find(strcmp(labels{i},LEGEND_STATES))];
end
i_alg = [];
for i = 1:length(labels)
i_alg = [i_alg; find(strcmp(labels{i},LEGEND_ALGEBRAIC))];
end
if length(i_con) + length(i_st) + length(i_alg) < length(labels)
error('missing index');
end
end
function [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends()
LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = '';
LEGEND_CONSTANTS(:,1) = strpad('kappa_1a in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,2) = strpad('kappa_1b in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,3) = strpad('kappa_2a in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,4) = strpad('kappa_2b in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,5) = strpad('kappa_3a in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,6) = strpad('kappa_3b in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,7) = strpad('kappa_4a in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,8) = strpad('kappa_4b in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,9) = strpad('kappa_5 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,10) = strpad('kappa_6 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,11) = strpad('kappa_7 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,12) = strpad('kappa_GiAC in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,13) = strpad('kappa_sig1_B1 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,14) = strpad('kappa_sig2_B1 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,15) = strpad('kappa_sig3_B1 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,16) = strpad('kappa_sig4_B1 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,17) = strpad('kappa_sig1_M2 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,18) = strpad('kappa_sig2_M2 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,19) = strpad('kappa_sig3_M2 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,20) = strpad('kappa_sig4_M2 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,21) = strpad('kappa_phos_RGs in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,22) = strpad('kappa_phos_LRGs in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,23) = strpad('kappa_act1_Gs in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,24) = strpad('kappa_act2_Gs in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,25) = strpad('kappa_hyd_Gs in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,26) = strpad('kappa_reassoc_Gs in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,27) = strpad('kappa_phos_RGi in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,28) = strpad('kappa_phos_LRGi in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,29) = strpad('kappa_act1_Gi in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,30) = strpad('kappa_act2_Gi in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,31) = strpad('kappa_hyd_Gi in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,32) = strpad('kappa_reassoc_Gi in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,33) = strpad('K_ATP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,34) = strpad('K_cAMP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,35) = strpad('K_AC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,36) = strpad('K_AC_ATP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,37) = strpad('K_aGs_GTP_AC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,38) = strpad('K_aGs_GTP_AC_ATP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,39) = strpad('K_FSK_AC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,40) = strpad('K_FSK_AC_ATP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,41) = strpad('K_PDE in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,42) = strpad('K_PDE_cAMP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,43) = strpad('K_five_AMP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,44) = strpad('K_IBMX in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,45) = strpad('K_PDEinh in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,46) = strpad('K_aGs_GTP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,47) = strpad('K_FSK in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,48) = strpad('K_aGi_GTP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,49) = strpad('K_ACinh in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,50) = strpad('K_PPi in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,51) = strpad('K_L_B1 in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,52) = strpad('K_R_B1 in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,53) = strpad('K_Gs in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,54) = strpad('K_LR_B1 in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,55) = strpad('K_R_B1Gs in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,56) = strpad('K_LR_B1Gs in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,57) = strpad('K_L_M2 in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,58) = strpad('K_R_M2 in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,59) = strpad('K_Gi in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,60) = strpad('K_LR_M2 in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,61) = strpad('K_R_M2Gi in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,62) = strpad('K_LR_M2Gi in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,63) = strpad('K_R_B1GsP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,64) = strpad('K_LR_B1GsP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,65) = strpad('K_beta_gamma_Gs in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,66) = strpad('K_aGs_GDP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,67) = strpad('K_Pi in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,68) = strpad('K_R_M2GiP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,69) = strpad('K_LR_M2GiP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,70) = strpad('K_beta_gamma_Gi in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,71) = strpad('K_aGi_GDP in component BG_parameters (per_fmol)');
LEGEND_VOI = strpad('time in component environment (second)');
LEGEND_CONSTANTS(:,72) = strpad('vol_myo in component environment (pL)');
LEGEND_CONSTANTS(:,73) = strpad('freq in component environment (dimensionless)');
LEGEND_CONSTANTS(:,74) = strpad('stimSt in component environment (second)');
LEGEND_CONSTANTS(:,75) = strpad('stimSt2 in component environment (second)');
LEGEND_CONSTANTS(:,76) = strpad('stimDur in component environment (second)');
LEGEND_CONSTANTS(:,77) = strpad('tR in component environment (second)');
LEGEND_CONSTANTS(:,78) = strpad('stimMag in component environment (fmol)');
LEGEND_CONSTANTS(:,79) = strpad('stimHolding in component environment (fmol)');
LEGEND_CONSTANTS(:,123) = strpad('m in component environment (fmol_per_sec)');
LEGEND_CONSTANTS(:,80) = strpad('q_ATP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,81) = strpad('q_AC_init in component environment (fmol)');
LEGEND_CONSTANTS(:,82) = strpad('q_cAMP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,83) = strpad('q_AC_ATP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,84) = strpad('q_FSK_init in component environment (fmol)');
LEGEND_CONSTANTS(:,85) = strpad('q_FSK_AC_init in component environment (fmol)');
LEGEND_CONSTANTS(:,86) = strpad('q_FSK_AC_ATP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,87) = strpad('q_aGs_GTP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,88) = strpad('q_aGs_GTP_AC_init in component environment (fmol)');
LEGEND_CONSTANTS(:,89) = strpad('q_aGs_GTP_AC_ATP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,90) = strpad('q_PDE_init in component environment (fmol)');
LEGEND_CONSTANTS(:,91) = strpad('q_PDEinh_init in component environment (fmol)');
LEGEND_CONSTANTS(:,92) = strpad('q_PDE_cAMP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,93) = strpad('q_IBMX_init in component environment (fmol)');
LEGEND_CONSTANTS(:,94) = strpad('q_five_AMP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,95) = strpad('q_aGi_GTP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,96) = strpad('q_ACinh_init in component environment (fmol)');
LEGEND_CONSTANTS(:,97) = strpad('q_PPi_init in component environment (fmol)');
LEGEND_CONSTANTS(:,98) = strpad('q_R_B1_init in component environment (fmol)');
LEGEND_CONSTANTS(:,99) = strpad('q_Gs_init in component environment (fmol)');
LEGEND_ALGEBRAIC(:,1) = strpad('q_L_B1_init in component environment (fmol)');
LEGEND_CONSTANTS(:,100) = strpad('q_LR_B1_init in component environment (fmol)');
LEGEND_CONSTANTS(:,101) = strpad('q_R_B1Gs_init in component environment (fmol)');
LEGEND_CONSTANTS(:,102) = strpad('q_LR_B1Gs_init in component environment (fmol)');
LEGEND_ALGEBRAIC(:,2) = strpad('q_L_M2_init in component environment (fmol)');
LEGEND_CONSTANTS(:,103) = strpad('q_R_M2_init in component environment (fmol)');
LEGEND_CONSTANTS(:,104) = strpad('q_Gi_init in component environment (fmol)');
LEGEND_CONSTANTS(:,105) = strpad('q_LR_M2_init in component environment (fmol)');
LEGEND_CONSTANTS(:,106) = strpad('q_R_M2Gi_init in component environment (fmol)');
LEGEND_CONSTANTS(:,107) = strpad('q_LR_M2Gi_init in component environment (fmol)');
LEGEND_CONSTANTS(:,108) = strpad('q_beta_gamma_Gs_init in component environment (fmol)');
LEGEND_CONSTANTS(:,109) = strpad('q_aGs_GDP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,110) = strpad('q_Pi_init in component environment (fmol)');
LEGEND_CONSTANTS(:,111) = strpad('q_beta_gamma_Gi_init in component environment (fmol)');
LEGEND_CONSTANTS(:,112) = strpad('q_aGi_GDP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,113) = strpad('q_R_B1GsP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,114) = strpad('q_LR_B1GsP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,115) = strpad('q_R_M2GiP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,116) = strpad('q_LR_M2GiP_init in component environment (fmol)');
LEGEND_ALGEBRAIC(:,36) = strpad('L_B1_T in component environment (fmol)');
LEGEND_ALGEBRAIC(:,60) = strpad('L_M2_T in component environment (fmol)');
LEGEND_ALGEBRAIC(:,37) = strpad('R_B1_T in component environment (fmol)');
LEGEND_ALGEBRAIC(:,61) = strpad('R_M2_T in component environment (fmol)');
LEGEND_ALGEBRAIC(:,82) = strpad('Gs_T in component environment (fmol)');
LEGEND_ALGEBRAIC(:,103) = strpad('Gi_T in component environment (fmol)');
LEGEND_ALGEBRAIC(:,17) = strpad('adenosine_T in component environment (fmol)');
LEGEND_ALGEBRAIC(:,3) = strpad('q_ATP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,4) = strpad('q_cAMP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,5) = strpad('q_AC in component environment (fmol)');
LEGEND_ALGEBRAIC(:,6) = strpad('q_AC_ATP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,7) = strpad('q_aGs_GTP_AC in component environment (fmol)');
LEGEND_ALGEBRAIC(:,8) = strpad('q_aGs_GTP_AC_ATP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,9) = strpad('q_FSK_AC in component environment (fmol)');
LEGEND_ALGEBRAIC(:,10) = strpad('q_FSK_AC_ATP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,11) = strpad('q_PDE in component environment (fmol)');
LEGEND_ALGEBRAIC(:,14) = strpad('q_PDE_cAMP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,15) = strpad('q_five_AMP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,18) = strpad('q_IBMX in component environment (fmol)');
LEGEND_ALGEBRAIC(:,19) = strpad('q_PDEinh in component environment (fmol)');
LEGEND_ALGEBRAIC(:,20) = strpad('q_aGs_GTP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,21) = strpad('q_FSK in component environment (fmol)');
LEGEND_ALGEBRAIC(:,23) = strpad('q_aGi_GTP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,24) = strpad('q_ACinh in component environment (fmol)');
LEGEND_ALGEBRAIC(:,26) = strpad('q_PPi in component environment (fmol)');
LEGEND_ALGEBRAIC(:,25) = strpad('q_L_B1 in component environment (fmol)');
LEGEND_ALGEBRAIC(:,27) = strpad('q_R_B1 in component environment (fmol)');
LEGEND_ALGEBRAIC(:,28) = strpad('q_Gs in component environment (fmol)');
LEGEND_ALGEBRAIC(:,30) = strpad('q_LR_B1 in component environment (fmol)');
LEGEND_ALGEBRAIC(:,32) = strpad('q_R_B1Gs in component environment (fmol)');
LEGEND_ALGEBRAIC(:,34) = strpad('q_LR_B1Gs in component environment (fmol)');
LEGEND_ALGEBRAIC(:,38) = strpad('q_L_M2 in component environment (fmol)');
LEGEND_ALGEBRAIC(:,45) = strpad('q_R_M2 in component environment (fmol)');
LEGEND_ALGEBRAIC(:,48) = strpad('q_Gi in component environment (fmol)');
LEGEND_ALGEBRAIC(:,51) = strpad('q_LR_M2 in component environment (fmol)');
LEGEND_ALGEBRAIC(:,54) = strpad('q_R_M2Gi in component environment (fmol)');
LEGEND_ALGEBRAIC(:,57) = strpad('q_LR_M2Gi in component environment (fmol)');
LEGEND_ALGEBRAIC(:,62) = strpad('q_R_B1GsP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,70) = strpad('q_LR_B1GsP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,74) = strpad('q_beta_gamma_Gs in component environment (fmol)');
LEGEND_ALGEBRAIC(:,78) = strpad('q_aGs_GDP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,83) = strpad('q_Pi in component environment (fmol)');
LEGEND_ALGEBRAIC(:,87) = strpad('q_R_M2GiP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,94) = strpad('q_LR_M2GiP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,98) = strpad('q_beta_gamma_Gi in component environment (fmol)');
LEGEND_ALGEBRAIC(:,102) = strpad('q_aGi_GDP in component environment (fmol)');
LEGEND_STATES(:,1) = strpad('q_ATP in component cAMP (fmol)');
LEGEND_STATES(:,2) = strpad('q_cAMP in component cAMP (fmol)');
LEGEND_STATES(:,3) = strpad('q_AC in component cAMP (fmol)');
LEGEND_STATES(:,4) = strpad('q_AC_ATP in component cAMP (fmol)');
LEGEND_STATES(:,5) = strpad('q_aGs_GTP_AC in component cAMP (fmol)');
LEGEND_STATES(:,6) = strpad('q_aGs_GTP_AC_ATP in component cAMP (fmol)');
LEGEND_STATES(:,7) = strpad('q_FSK_AC in component cAMP (fmol)');
LEGEND_STATES(:,8) = strpad('q_FSK_AC_ATP in component cAMP (fmol)');
LEGEND_STATES(:,9) = strpad('q_PDE in component cAMP (fmol)');
LEGEND_STATES(:,10) = strpad('q_PDE_cAMP in component cAMP (fmol)');
LEGEND_STATES(:,11) = strpad('q_five_AMP in component cAMP (fmol)');
LEGEND_STATES(:,12) = strpad('q_IBMX in component cAMP (fmol)');
LEGEND_STATES(:,13) = strpad('q_PDEinh in component cAMP (fmol)');
LEGEND_STATES(:,14) = strpad('q_aGs_GTP in component cAMP (fmol)');
LEGEND_STATES(:,15) = strpad('q_FSK in component cAMP (fmol)');
LEGEND_STATES(:,16) = strpad('q_aGi_GTP in component cAMP (fmol)');
LEGEND_STATES(:,17) = strpad('q_ACinh in component cAMP (fmol)');
LEGEND_STATES(:,18) = strpad('q_PPi in component cAMP (fmol)');
LEGEND_STATES(:,19) = strpad('q_L_B1 in component LRGbinding_B1AR (fmol)');
LEGEND_STATES(:,20) = strpad('q_R_B1 in component LRGbinding_B1AR (fmol)');
LEGEND_STATES(:,21) = strpad('q_Gs in component LRGbinding_B1AR (fmol)');
LEGEND_STATES(:,22) = strpad('q_LR_B1 in component LRGbinding_B1AR (fmol)');
LEGEND_STATES(:,23) = strpad('q_R_B1Gs in component LRGbinding_B1AR (fmol)');
LEGEND_STATES(:,24) = strpad('q_LR_B1Gs in component LRGbinding_B1AR (fmol)');
LEGEND_STATES(:,25) = strpad('q_L_M2 in component LRGbinding_M2 (fmol)');
LEGEND_STATES(:,26) = strpad('q_R_M2 in component LRGbinding_M2 (fmol)');
LEGEND_STATES(:,27) = strpad('q_Gi in component LRGbinding_M2 (fmol)');
LEGEND_STATES(:,28) = strpad('q_LR_M2 in component LRGbinding_M2 (fmol)');
LEGEND_STATES(:,29) = strpad('q_R_M2Gi in component LRGbinding_M2 (fmol)');
LEGEND_STATES(:,30) = strpad('q_LR_M2Gi in component LRGbinding_M2 (fmol)');
LEGEND_STATES(:,31) = strpad('q_R_B1 in component GsProtein (fmol)');
LEGEND_STATES(:,32) = strpad('q_Gs in component GsProtein (fmol)');
LEGEND_STATES(:,33) = strpad('q_R_B1Gs in component GsProtein (fmol)');
LEGEND_STATES(:,34) = strpad('q_R_B1GsP in component GsProtein (fmol)');
LEGEND_STATES(:,35) = strpad('q_LR_B1 in component GsProtein (fmol)');
LEGEND_STATES(:,36) = strpad('q_LR_B1Gs in component GsProtein (fmol)');
LEGEND_STATES(:,37) = strpad('q_LR_B1GsP in component GsProtein (fmol)');
LEGEND_STATES(:,38) = strpad('q_aGs_GTP in component GsProtein (fmol)');
LEGEND_STATES(:,39) = strpad('q_beta_gamma_Gs in component GsProtein (fmol)');
LEGEND_STATES(:,40) = strpad('q_aGs_GDP in component GsProtein (fmol)');
LEGEND_STATES(:,41) = strpad('q_Pi in component GsProtein (fmol)');
LEGEND_STATES(:,42) = strpad('q_R_M2 in component GiProtein (fmol)');
LEGEND_STATES(:,43) = strpad('q_Gi in component GiProtein (fmol)');
LEGEND_STATES(:,44) = strpad('q_R_M2Gi in component GiProtein (fmol)');
LEGEND_STATES(:,45) = strpad('q_R_M2GiP in component GiProtein (fmol)');
LEGEND_STATES(:,46) = strpad('q_LR_M2 in component GiProtein (fmol)');
LEGEND_STATES(:,47) = strpad('q_LR_M2Gi in component GiProtein (fmol)');
LEGEND_STATES(:,48) = strpad('q_LR_M2GiP in component GiProtein (fmol)');
LEGEND_STATES(:,49) = strpad('q_aGi_GTP in component GiProtein (fmol)');
LEGEND_STATES(:,50) = strpad('q_beta_gamma_Gi in component GiProtein (fmol)');
LEGEND_STATES(:,51) = strpad('q_aGi_GDP in component GiProtein (fmol)');
LEGEND_STATES(:,52) = strpad('q_Pi in component GiProtein (fmol)');
LEGEND_CONSTANTS(:,117) = strpad('R in component constants (J_per_K_per_mol)');
LEGEND_CONSTANTS(:,118) = strpad('T in component constants (kelvin)');
LEGEND_CONSTANTS(:,119) = strpad('F in component constants (C_per_mol)');
LEGEND_ALGEBRAIC(:,99) = strpad('v1a in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,104) = strpad('v1b in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,109) = strpad('v2a in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,112) = strpad('v2b in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,115) = strpad('v3a in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,118) = strpad('v3b in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,121) = strpad('v4a in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,125) = strpad('v4b in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,129) = strpad('v5 in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,122) = strpad('v6 in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,126) = strpad('v7 in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,130) = strpad('vGiAC in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,29) = strpad('mu_ATP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,33) = strpad('mu_AC in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,31) = strpad('mu_cAMP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,35) = strpad('mu_AC_ATP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,84) = strpad('mu_FSK in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,49) = strpad('mu_FSK_AC in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,52) = strpad('mu_FSK_AC_ATP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,79) = strpad('mu_aGs_GTP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,39) = strpad('mu_aGs_GTP_AC in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,46) = strpad('mu_aGs_GTP_AC_ATP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,55) = strpad('mu_PDE in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,75) = strpad('mu_PDEinh in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,58) = strpad('mu_PDE_cAMP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,71) = strpad('mu_IBMX in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,63) = strpad('mu_five_AMP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,88) = strpad('mu_aGi_GTP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,91) = strpad('mu_ACinh in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,95) = strpad('mu_PPi in component cAMP (J_per_mol)');
LEGEND_CONSTANTS(:,120) = strpad('vol in component cAMP (pL)');
LEGEND_ALGEBRAIC(:,12) = strpad('ATP_T in component cAMP (fmol)');
LEGEND_ALGEBRAIC(:,13) = strpad('AC_T in component cAMP (fmol)');
LEGEND_ALGEBRAIC(:,22) = strpad('Gs_T in component cAMP (fmol)');
LEGEND_ALGEBRAIC(:,16) = strpad('cAMP_T in component cAMP (fmol)');
LEGEND_ALGEBRAIC(:,40) = strpad('mu_L_B1 in component LRGbinding_B1AR (J_per_mol)');
LEGEND_ALGEBRAIC(:,47) = strpad('mu_R_B1 in component LRGbinding_B1AR (J_per_mol)');
LEGEND_ALGEBRAIC(:,50) = strpad('mu_Gs in component LRGbinding_B1AR (J_per_mol)');
LEGEND_ALGEBRAIC(:,53) = strpad('mu_LR_B1 in component LRGbinding_B1AR (J_per_mol)');
LEGEND_ALGEBRAIC(:,56) = strpad('mu_R_B1Gs in component LRGbinding_B1AR (J_per_mol)');
LEGEND_ALGEBRAIC(:,59) = strpad('mu_LR_B1Gs in component LRGbinding_B1AR (J_per_mol)');
LEGEND_ALGEBRAIC(:,64) = strpad('vsig1_B1 in component LRGbinding_B1AR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,72) = strpad('vsig2_B1 in component LRGbinding_B1AR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,76) = strpad('vsig3_B1 in component LRGbinding_B1AR (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,80) = strpad('vsig4_B1 in component LRGbinding_B1AR (fmol_per_sec)');
LEGEND_CONSTANTS(:,121) = strpad('vol in component LRGbinding_B1AR (pL)');
LEGEND_ALGEBRAIC(:,41) = strpad('L_T in component LRGbinding_B1AR (fmol)');
LEGEND_ALGEBRAIC(:,42) = strpad('R_T in component LRGbinding_B1AR (fmol)');
LEGEND_ALGEBRAIC(:,43) = strpad('Gs_T in component LRGbinding_B1AR (fmol)');
LEGEND_ALGEBRAIC(:,65) = strpad('mu_L_M2 in component LRGbinding_M2 (J_per_mol)');
LEGEND_ALGEBRAIC(:,73) = strpad('mu_R_M2 in component LRGbinding_M2 (J_per_mol)');
LEGEND_ALGEBRAIC(:,77) = strpad('mu_Gi in component LRGbinding_M2 (J_per_mol)');
LEGEND_ALGEBRAIC(:,81) = strpad('mu_LR_M2 in component LRGbinding_M2 (J_per_mol)');
LEGEND_ALGEBRAIC(:,85) = strpad('mu_R_M2Gi in component LRGbinding_M2 (J_per_mol)');
LEGEND_ALGEBRAIC(:,89) = strpad('mu_LR_M2Gi in component LRGbinding_M2 (J_per_mol)');
LEGEND_ALGEBRAIC(:,92) = strpad('vsig1_M2 in component LRGbinding_M2 (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,96) = strpad('vsig2_M2 in component LRGbinding_M2 (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,100) = strpad('vsig3_M2 in component LRGbinding_M2 (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,105) = strpad('vsig4_M2 in component LRGbinding_M2 (fmol_per_sec)');
LEGEND_CONSTANTS(:,122) = strpad('vol in component LRGbinding_M2 (pL)');
LEGEND_ALGEBRAIC(:,66) = strpad('L_T in component LRGbinding_M2 (fmol)');
LEGEND_ALGEBRAIC(:,67) = strpad('R_T in component LRGbinding_M2 (fmol)');
LEGEND_ALGEBRAIC(:,68) = strpad('Gi_T in component LRGbinding_M2 (fmol)');
LEGEND_ALGEBRAIC(:,131) = strpad('vphos_R_B1Gs in component GsProtein (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,133) = strpad('vphos_LR_B1Gs in component GsProtein (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,135) = strpad('vact1_Gs in component GsProtein (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,137) = strpad('vact2_Gs in component GsProtein (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,139) = strpad('vhyd_Gs in component GsProtein (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,141) = strpad('vreassoc_Gs in component GsProtein (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,90) = strpad('mu_R_B1 in component GsProtein (J_per_mol)');
LEGEND_ALGEBRAIC(:,93) = strpad('mu_Gs in component GsProtein (J_per_mol)');
LEGEND_ALGEBRAIC(:,97) = strpad('mu_R_B1Gs in component GsProtein (J_per_mol)');
LEGEND_ALGEBRAIC(:,101) = strpad('mu_R_B1GsP in component GsProtein (J_per_mol)');
LEGEND_ALGEBRAIC(:,106) = strpad('mu_LR_B1 in component GsProtein (J_per_mol)');
LEGEND_ALGEBRAIC(:,110) = strpad('mu_LR_B1Gs in component GsProtein (J_per_mol)');
LEGEND_ALGEBRAIC(:,113) = strpad('mu_LR_B1GsP in component GsProtein (J_per_mol)');
LEGEND_ALGEBRAIC(:,116) = strpad('mu_aGs_GTP in component GsProtein (J_per_mol)');
LEGEND_ALGEBRAIC(:,119) = strpad('mu_beta_gamma_Gs in component GsProtein (J_per_mol)');
LEGEND_ALGEBRAIC(:,123) = strpad('mu_aGs_GDP in component GsProtein (J_per_mol)');
LEGEND_ALGEBRAIC(:,127) = strpad('mu_Pi in component GsProtein (J_per_mol)');
LEGEND_ALGEBRAIC(:,44) = strpad('R_T in component GsProtein (fmol)');
LEGEND_ALGEBRAIC(:,86) = strpad('Gs_T in component GsProtein (fmol)');
LEGEND_ALGEBRAIC(:,140) = strpad('vphos_R_M2Gi in component GiProtein (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,142) = strpad('vphos_LR_M2Gi in component GiProtein (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,143) = strpad('vact1_Gi in component GiProtein (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,144) = strpad('vact2_Gi in component GiProtein (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,145) = strpad('vhyd_Gi in component GiProtein (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,146) = strpad('vreassoc_Gi in component GiProtein (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,107) = strpad('mu_R_M2 in component GiProtein (J_per_mol)');
LEGEND_ALGEBRAIC(:,111) = strpad('mu_Gi in component GiProtein (J_per_mol)');
LEGEND_ALGEBRAIC(:,114) = strpad('mu_R_M2Gi in component GiProtein (J_per_mol)');
LEGEND_ALGEBRAIC(:,117) = strpad('mu_R_M2GiP in component GiProtein (J_per_mol)');
LEGEND_ALGEBRAIC(:,120) = strpad('mu_LR_M2 in component GiProtein (J_per_mol)');
LEGEND_ALGEBRAIC(:,124) = strpad('mu_LR_M2Gi in component GiProtein (J_per_mol)');
LEGEND_ALGEBRAIC(:,128) = strpad('mu_LR_M2GiP in component GiProtein (J_per_mol)');
LEGEND_ALGEBRAIC(:,132) = strpad('mu_aGi_GTP in component GiProtein (J_per_mol)');
LEGEND_ALGEBRAIC(:,134) = strpad('mu_beta_gamma_Gi in component GiProtein (J_per_mol)');
LEGEND_ALGEBRAIC(:,136) = strpad('mu_aGi_GDP in component GiProtein (J_per_mol)');
LEGEND_ALGEBRAIC(:,138) = strpad('mu_Pi in component GiProtein (J_per_mol)');
LEGEND_ALGEBRAIC(:,69) = strpad('R_T in component GiProtein (fmol)');
LEGEND_ALGEBRAIC(:,108) = strpad('Gi_T in component GiProtein (fmol)');
LEGEND_RATES(:,1) = strpad('d/dt q_ATP in component cAMP (fmol)');
LEGEND_RATES(:,3) = strpad('d/dt q_AC in component cAMP (fmol)');
LEGEND_RATES(:,4) = strpad('d/dt q_AC_ATP in component cAMP (fmol)');
LEGEND_RATES(:,2) = strpad('d/dt q_cAMP in component cAMP (fmol)');
LEGEND_RATES(:,15) = strpad('d/dt q_FSK in component cAMP (fmol)');
LEGEND_RATES(:,7) = strpad('d/dt q_FSK_AC in component cAMP (fmol)');
LEGEND_RATES(:,8) = strpad('d/dt q_FSK_AC_ATP in component cAMP (fmol)');
LEGEND_RATES(:,14) = strpad('d/dt q_aGs_GTP in component cAMP (fmol)');
LEGEND_RATES(:,5) = strpad('d/dt q_aGs_GTP_AC in component cAMP (fmol)');
LEGEND_RATES(:,6) = strpad('d/dt q_aGs_GTP_AC_ATP in component cAMP (fmol)');
LEGEND_RATES(:,10) = strpad('d/dt q_PDE_cAMP in component cAMP (fmol)');
LEGEND_RATES(:,9) = strpad('d/dt q_PDE in component cAMP (fmol)');
LEGEND_RATES(:,12) = strpad('d/dt q_IBMX in component cAMP (fmol)');
LEGEND_RATES(:,13) = strpad('d/dt q_PDEinh in component cAMP (fmol)');
LEGEND_RATES(:,11) = strpad('d/dt q_five_AMP in component cAMP (fmol)');
LEGEND_RATES(:,16) = strpad('d/dt q_aGi_GTP in component cAMP (fmol)');
LEGEND_RATES(:,17) = strpad('d/dt q_ACinh in component cAMP (fmol)');
LEGEND_RATES(:,18) = strpad('d/dt q_PPi in component cAMP (fmol)');
LEGEND_RATES(:,19) = strpad('d/dt q_L_B1 in component LRGbinding_B1AR (fmol)');
LEGEND_RATES(:,20) = strpad('d/dt q_R_B1 in component LRGbinding_B1AR (fmol)');
LEGEND_RATES(:,21) = strpad('d/dt q_Gs in component LRGbinding_B1AR (fmol)');
LEGEND_RATES(:,22) = strpad('d/dt q_LR_B1 in component LRGbinding_B1AR (fmol)');
LEGEND_RATES(:,23) = strpad('d/dt q_R_B1Gs in component LRGbinding_B1AR (fmol)');
LEGEND_RATES(:,24) = strpad('d/dt q_LR_B1Gs in component LRGbinding_B1AR (fmol)');
LEGEND_RATES(:,25) = strpad('d/dt q_L_M2 in component LRGbinding_M2 (fmol)');
LEGEND_RATES(:,26) = strpad('d/dt q_R_M2 in component LRGbinding_M2 (fmol)');
LEGEND_RATES(:,27) = strpad('d/dt q_Gi in component LRGbinding_M2 (fmol)');
LEGEND_RATES(:,28) = strpad('d/dt q_LR_M2 in component LRGbinding_M2 (fmol)');
LEGEND_RATES(:,29) = strpad('d/dt q_R_M2Gi in component LRGbinding_M2 (fmol)');
LEGEND_RATES(:,30) = strpad('d/dt q_LR_M2Gi in component LRGbinding_M2 (fmol)');
LEGEND_RATES(:,31) = strpad('d/dt q_R_B1 in component GsProtein (fmol)');
LEGEND_RATES(:,33) = strpad('d/dt q_R_B1Gs in component GsProtein (fmol)');
LEGEND_RATES(:,34) = strpad('d/dt q_R_B1GsP in component GsProtein (fmol)');
LEGEND_RATES(:,32) = strpad('d/dt q_Gs in component GsProtein (fmol)');
LEGEND_RATES(:,35) = strpad('d/dt q_LR_B1 in component GsProtein (fmol)');
LEGEND_RATES(:,36) = strpad('d/dt q_LR_B1Gs in component GsProtein (fmol)');
LEGEND_RATES(:,37) = strpad('d/dt q_LR_B1GsP in component GsProtein (fmol)');
LEGEND_RATES(:,38) = strpad('d/dt q_aGs_GTP in component GsProtein (fmol)');
LEGEND_RATES(:,39) = strpad('d/dt q_beta_gamma_Gs in component GsProtein (fmol)');
LEGEND_RATES(:,40) = strpad('d/dt q_aGs_GDP in component GsProtein (fmol)');
LEGEND_RATES(:,41) = strpad('d/dt q_Pi in component GsProtein (fmol)');
LEGEND_RATES(:,42) = strpad('d/dt q_R_M2 in component GiProtein (fmol)');
LEGEND_RATES(:,44) = strpad('d/dt q_R_M2Gi in component GiProtein (fmol)');
LEGEND_RATES(:,45) = strpad('d/dt q_R_M2GiP in component GiProtein (fmol)');
LEGEND_RATES(:,43) = strpad('d/dt q_Gi in component GiProtein (fmol)');
LEGEND_RATES(:,46) = strpad('d/dt q_LR_M2 in component GiProtein (fmol)');
LEGEND_RATES(:,47) = strpad('d/dt q_LR_M2Gi in component GiProtein (fmol)');
LEGEND_RATES(:,48) = strpad('d/dt q_LR_M2GiP in component GiProtein (fmol)');
LEGEND_RATES(:,49) = strpad('d/dt q_aGi_GTP in component GiProtein (fmol)');
LEGEND_RATES(:,50) = strpad('d/dt q_beta_gamma_Gi in component GiProtein (fmol)');
LEGEND_RATES(:,51) = strpad('d/dt q_aGi_GDP in component GiProtein (fmol)');
LEGEND_RATES(:,52) = strpad('d/dt q_Pi in component GiProtein (fmol)');
LEGEND_STATES = LEGEND_STATES';
LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC';
LEGEND_RATES = LEGEND_RATES';
LEGEND_CONSTANTS = LEGEND_CONSTANTS';
end
function [STATES, CONSTANTS] = initConsts(Gmult,igs)
VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = [];
CONSTANTS(:,1) = 3.63265e+06;
CONSTANTS(:,2) = 0.000758462;
CONSTANTS(:,3) = 333398;
CONSTANTS(:,4) = 0.0899646;
CONSTANTS(:,5) = 2.40489e+08;
CONSTANTS(:,6) = 2.79639e-17;
CONSTANTS(:,7) = 30916.4;
CONSTANTS(:,8) = 0.11891;
CONSTANTS(:,9) = 824.604;
CONSTANTS(:,10) = 6142.12;
CONSTANTS(:,11) = 443048;
CONSTANTS(:,12) = 1734.45;
CONSTANTS(:,13) = 1320.77;
CONSTANTS(:,14) = 24.8319;
CONSTANTS(:,15) = 5.26566;
CONSTANTS(:,16) = 4.19518e+06;
CONSTANTS(:,17) = 2426.3;
CONSTANTS(:,18) = 68.6013;
CONSTANTS(:,19) = 14.5471;
CONSTANTS(:,20) = 2.90239e+06;
CONSTANTS(:,21) = 24.1902;
CONSTANTS(:,22) = 7.80819;
CONSTANTS(:,23) = 1.42953;
CONSTANTS(:,24) = 0.0374674;
CONSTANTS(:,25) = 0.287462;
CONSTANTS(:,26) = 2.7312e+06;
CONSTANTS(:,27) = 44.4383;
CONSTANTS(:,28) = 21.5711;
CONSTANTS(:,29) = 0.410326;
CONSTANTS(:,30) = 0.000323464;
CONSTANTS(:,31) = 2.02938;
CONSTANTS(:,32) = 1.70408e+06;
CONSTANTS(:,33) = 5.35546e-05;
CONSTANTS(:,34) = 0.0158165;
CONSTANTS(:,35) = 4.03967;
CONSTANTS(:,36) = 7.66545;
CONSTANTS(:,37) = 4.73286;
CONSTANTS(:,38) = 2.74656;
CONSTANTS(:,39) = 0.0656131;
CONSTANTS(:,40) = 0.103955;
CONSTANTS(:,41) = 1.72816;
CONSTANTS(:,42) = 1.22235;
CONSTANTS(:,43) = 0.0158165;
CONSTANTS(:,44) = 0.0197666;
CONSTANTS(:,45) = 35.253;
CONSTANTS(:,46) = 0.085145;
CONSTANTS(:,47) = 1.07308e-05;
CONSTANTS(:,48) = 0.0120608;
CONSTANTS(:,49) = 16.7602;
CONSTANTS(:,50) = 9.843e-05;
CONSTANTS(:,51) = 0.0480673;
CONSTANTS(:,52) = 0.00573574;
CONSTANTS(:,53) = 156.63;
CONSTANTS(:,54) = 0.767984;
CONSTANTS(:,55) = 517.271;
CONSTANTS(:,56) = 456.649;
CONSTANTS(:,57) = 0.0319627;
CONSTANTS(:,58) = 0.0124678;
CONSTANTS(:,59) = 39.2246;
CONSTANTS(:,60) = 1.11006;
CONSTANTS(:,61) = 281.579;
CONSTANTS(:,62) = 165.295;
CONSTANTS(:,63) = 0.625296;
CONSTANTS(:,64) = 6.79829;
CONSTANTS(:,65) = 1.83091e-05;
CONSTANTS(:,66) = 0.0215206;
CONSTANTS(:,67) = 0.00012979;
CONSTANTS(:,68) = 0.340383;
CONSTANTS(:,69) = 2.4608;
CONSTANTS(:,70) = 0.000207164;
CONSTANTS(:,71) = 0.00304839;
CONSTANTS(:,72) = 34.4;
CONSTANTS(:,73) = 500;
CONSTANTS(:,74) = 3.5e-4;
CONSTANTS(:,75) = 3e-4;
CONSTANTS(:,76) = 0.25e-4;
CONSTANTS(:,77) = 1.8e-4;
CONSTANTS(:,78) = 1e1;
CONSTANTS(:,79) = 1e-5;
CONSTANTS(:,80) = 190;
CONSTANTS(:,81) = 1.889E-03;
CONSTANTS(:,82) = 1e-18;
CONSTANTS(:,83) = 1e-18;
CONSTANTS(:,84) = 3.800E-05;
CONSTANTS(:,85) = 1e-18;
CONSTANTS(:,86) = 1e-18;
CONSTANTS(:,87) = 1e-18;
CONSTANTS(:,88) = 1e-18;
CONSTANTS(:,89) = 1e-18;
CONSTANTS(:,90) = 1.482E-03;
CONSTANTS(:,91) = 1e-18;
CONSTANTS(:,92) = 1e-18;
CONSTANTS(:,93) = 3.80E-02;
CONSTANTS(:,94) = 1e-18;
CONSTANTS(:,95) = 1e-18;
CONSTANTS(:,96) = 1e-18;
CONSTANTS(:,97) = 1e-18;
CONSTANTS(:,98) = 0.0004579000;
CONSTANTS(:,99) = 0.1455400000;
CONSTANTS(:,100) = 1e-18;
CONSTANTS(:,101) = 1e-18;
CONSTANTS(:,102) = 1e-18;
CONSTANTS(:,103) = 0.00072;
CONSTANTS(:,104) = 0.00836;
CONSTANTS(:,105) = 1e-18;
CONSTANTS(:,106) = 1e-18;
CONSTANTS(:,107) = 1e-18;
CONSTANTS(:,108) = 1e-18;
CONSTANTS(:,109) = 1e-18;
CONSTANTS(:,110) = 570;
CONSTANTS(:,111) = 1e-18;
CONSTANTS(:,112) = 1e-18;
CONSTANTS(:,113) = 1e-18;
CONSTANTS(:,114) = 1e-18;
CONSTANTS(:,115) = 1e-18;
CONSTANTS(:,116) = 1e-18;
STATES(:,1) = 1e-16;
STATES(:,2) = 1e-16;
STATES(:,3) = 1e-16;
STATES(:,4) = 1e-16;
STATES(:,5) = 1e-16;
STATES(:,6) = 1e-16;
STATES(:,7) = 1e-16;
STATES(:,8) = 1e-16;
STATES(:,9) = 1e-16;
STATES(:,10) = 1e-16;
STATES(:,11) = 1e-16;
STATES(:,12) = 1e-16;
STATES(:,13) = 1e-16;
STATES(:,14) = 1e-16;
STATES(:,15) = 1e-16;
STATES(:,16) = 1e-16;
STATES(:,17) = 1e-16;
STATES(:,18) = 1e-16;
STATES(:,19) = 1e-18;
STATES(:,20) = 1e-18;
STATES(:,21) = 1e-18;
STATES(:,22) = 1e-18;
STATES(:,23) = 1e-18;
STATES(:,24) = 1e-18;
STATES(:,25) = 1e-16;
STATES(:,26) = 1e-16;
STATES(:,27) = 1e-16;
STATES(:,28) = 1e-16;
STATES(:,29) = 1e-16;
STATES(:,30) = 1e-16;
STATES(:,31) = 1e-16;
STATES(:,32) = 1e-16;
STATES(:,33) = 1e-16;
STATES(:,34) = 1e-16;
STATES(:,35) = 1e-16;
STATES(:,36) = 1e-16;
STATES(:,37) = 1e-16;
STATES(:,38) = 1e-16;
STATES(:,39) = 1e-16;
STATES(:,40) = 1e-16;
STATES(:,41) = 1e-16;
STATES(:,42) = 1e-16;
STATES(:,43) = 1e-16;
STATES(:,44) = 1e-16;
STATES(:,45) = 1e-16;
STATES(:,46) = 1e-16;
STATES(:,47) = 1e-16;
STATES(:,48) = 1e-16;
STATES(:,49) = 1e-16;
STATES(:,50) = 1e-16;
STATES(:,51) = 1e-16;
STATES(:,52) = 1e-16;
CONSTANTS(:,117) = 8.31;
CONSTANTS(:,118) = 310;
CONSTANTS(:,119) = 96485;
CONSTANTS(:,120) = 38.0;
CONSTANTS(:,121) = 34.4;
CONSTANTS(:,122) = 34.4;
CONSTANTS(:,123) = CONSTANTS(:,78)./CONSTANTS(:,77);
if (isempty(STATES)), warning('Initial values for states not set');, end
% multiply constant values by Gmult, with indices given in igs
for j=1:length(igs)
CONSTANTS(:,igs(j)) = CONSTANTS(:,igs(j))*Gmult;
end
end
function [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS,p)
disp(VOI)
global algebraicVariableCount;
statesSize = size(STATES);
statesColumnCount = statesSize(2);
if ( statesColumnCount == 1)
STATES = STATES';
ALGEBRAIC = zeros(1, algebraicVariableCount);
utilOnes = 1;
else
statesRowCount = statesSize(1);
ALGEBRAIC = zeros(statesRowCount, algebraicVariableCount);
RATES = zeros(statesRowCount, statesColumnCount);
utilOnes = ones(statesRowCount, 1);
end
ALGEBRAIC(:,27) = CONSTANTS(:,98)+STATES(:,20)+STATES(:,31);
ALGEBRAIC(:,47) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,52).*ALGEBRAIC(:,27));
ALGEBRAIC(:,28) = CONSTANTS(:,99)+STATES(:,21)+STATES(:,32);
ALGEBRAIC(:,50) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,53).*ALGEBRAIC(:,28));
ALGEBRAIC(:,32) = CONSTANTS(:,101)+STATES(:,23)+STATES(:,33);
ALGEBRAIC(:,56) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,55).*ALGEBRAIC(:,32));
ALGEBRAIC(:,64) = CONSTANTS(:,13).*exp((ALGEBRAIC(:,47)+ALGEBRAIC(:,50))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,56)./( CONSTANTS(:,117).*CONSTANTS(:,118)));
m = p.stimmag(1)/p.trAMP(1);
if VOI > p.stimstart
j = 10;
end
ALGEBRAIC(:,1) = piecewise({VOI<p.stimstart(1)&VOI>p.stimstart(1) - p.trAMP(1), p.stimholding(1)+ m.*((VOI - p.stimstart(1))+p.trAMP(1)) , VOI>=p.stimstart(1)&VOI<p.stimstart(1)+p.stimdur(1), p.stimmag(1)+p.stimholding(1) , VOI<p.stimstart(1)+p.trAMP(1)+p.stimdur(1)&VOI>=p.stimstart(1)+p.stimdur(1), p.stimholding(1)+ - m.*(((VOI - p.stimstart(1)) - p.trAMP(1)) - p.stimdur(1)) }, p.stimholding(1));
ALGEBRAIC(:,25) = ALGEBRAIC(:,1)+STATES(:,19);
ALGEBRAIC(:,40) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,51).*ALGEBRAIC(:,25));
ALGEBRAIC(:,34) = CONSTANTS(:,102)+STATES(:,24)+STATES(:,36);
ALGEBRAIC(:,59) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,56).*ALGEBRAIC(:,34));
ALGEBRAIC(:,72) = CONSTANTS(:,14).*exp((ALGEBRAIC(:,56)+ALGEBRAIC(:,40))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,59)./( CONSTANTS(:,117).*CONSTANTS(:,118)));
RATES(:,23) = ALGEBRAIC(:,64) - ALGEBRAIC(:,72);
ALGEBRAIC(:,30) = CONSTANTS(:,100)+STATES(:,22)+STATES(:,35);
ALGEBRAIC(:,53) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,54).*ALGEBRAIC(:,30));
ALGEBRAIC(:,76) = CONSTANTS(:,15).*exp((ALGEBRAIC(:,53)+ALGEBRAIC(:,50))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,59)./( CONSTANTS(:,117).*CONSTANTS(:,118)));
RATES(:,21) = - ALGEBRAIC(:,64) - ALGEBRAIC(:,76);
RATES(:,24) = ALGEBRAIC(:,72)+ALGEBRAIC(:,76);
ALGEBRAIC(:,80) = CONSTANTS(:,16).*exp((ALGEBRAIC(:,47)+ALGEBRAIC(:,40))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,53)./( CONSTANTS(:,117).*CONSTANTS(:,118)));
RATES(:,19) = - ALGEBRAIC(:,72) - ALGEBRAIC(:,80);
RATES(:,20) = - ALGEBRAIC(:,64) - ALGEBRAIC(:,80);
RATES(:,22) = - ALGEBRAIC(:,76)+ALGEBRAIC(:,80);
ALGEBRAIC(:,45) = CONSTANTS(:,103)+STATES(:,26)+STATES(:,42);
ALGEBRAIC(:,73) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,58).*ALGEBRAIC(:,45));
ALGEBRAIC(:,48) = CONSTANTS(:,104)+STATES(:,27)+STATES(:,43);
ALGEBRAIC(:,77) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,59).*ALGEBRAIC(:,48));
ALGEBRAIC(:,54) = CONSTANTS(:,106)+STATES(:,29)+STATES(:,44);
ALGEBRAIC(:,85) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,61).*ALGEBRAIC(:,54));
ALGEBRAIC(:,92) = CONSTANTS(:,17).*exp((ALGEBRAIC(:,73)+ALGEBRAIC(:,77))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,85)./( CONSTANTS(:,117).*CONSTANTS(:,118)));
m = p.stimmag(2)/p.trAMP(2);
ALGEBRAIC(:,2) = piecewise({VOI<p.stimstart(2)&VOI>p.stimstart(2) - p.trAMP(2), p.stimholding(2)+ m.*((VOI - p.stimstart(2))+p.trAMP(2)) , VOI>=p.stimstart(2)&VOI<p.stimstart(2)+p.stimdur(2), p.stimmag(2)+p.stimholding(2) , VOI<p.stimstart(2)+p.trAMP(2)+p.stimdur(2)&VOI>=p.stimstart(2)+p.stimdur(2), p.stimholding(2)+ - m.*(((VOI - p.stimstart(2)) - p.trAMP(2)) - p.stimdur(2)) }, p.stimholding(2));
ALGEBRAIC(:,38) = ALGEBRAIC(:,2)+STATES(:,25);
ALGEBRAIC(:,65) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,57).*ALGEBRAIC(:,38));
ALGEBRAIC(:,57) = CONSTANTS(:,107)+STATES(:,30)+STATES(:,47);
ALGEBRAIC(:,89) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,62).*ALGEBRAIC(:,57));
ALGEBRAIC(:,96) = CONSTANTS(:,18).*exp((ALGEBRAIC(:,85)+ALGEBRAIC(:,65))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,89)./( CONSTANTS(:,117).*CONSTANTS(:,118)));
RATES(:,29) = ALGEBRAIC(:,92) - ALGEBRAIC(:,96);
ALGEBRAIC(:,51) = CONSTANTS(:,105)+STATES(:,28)+STATES(:,46);
ALGEBRAIC(:,81) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,60).*ALGEBRAIC(:,51));
ALGEBRAIC(:,100) = CONSTANTS(:,19).*exp((ALGEBRAIC(:,81)+ALGEBRAIC(:,77))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,89)./( CONSTANTS(:,117).*CONSTANTS(:,118)));
RATES(:,27) = - ALGEBRAIC(:,92) - ALGEBRAIC(:,100);
RATES(:,30) = ALGEBRAIC(:,96)+ALGEBRAIC(:,100);
ALGEBRAIC(:,3) = CONSTANTS(:,80)+STATES(:,1);
ALGEBRAIC(:,29) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,33).*ALGEBRAIC(:,3));
ALGEBRAIC(:,5) = CONSTANTS(:,81)+STATES(:,3);
ALGEBRAIC(:,33) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,35).*ALGEBRAIC(:,5));
ALGEBRAIC(:,6) = CONSTANTS(:,83)+STATES(:,4);
ALGEBRAIC(:,35) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,36).*ALGEBRAIC(:,6));
ALGEBRAIC(:,99) = CONSTANTS(:,1).*(exp((ALGEBRAIC(:,33)+ALGEBRAIC(:,29))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,35)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,4) = CONSTANTS(:,82)+STATES(:,2);
ALGEBRAIC(:,31) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,34).*ALGEBRAIC(:,4));
ALGEBRAIC(:,26) = CONSTANTS(:,97)+STATES(:,18);
ALGEBRAIC(:,95) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,50).*ALGEBRAIC(:,26));
ALGEBRAIC(:,104) = CONSTANTS(:,2).*(exp(ALGEBRAIC(:,35)./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp((ALGEBRAIC(:,33)+ALGEBRAIC(:,31)+ALGEBRAIC(:,95))./( CONSTANTS(:,117).*CONSTANTS(:,118))));
RATES(:,4) = ALGEBRAIC(:,99) - ALGEBRAIC(:,104);
ALGEBRAIC(:,105) = CONSTANTS(:,20).*exp((ALGEBRAIC(:,73)+ALGEBRAIC(:,65))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,81)./( CONSTANTS(:,117).*CONSTANTS(:,118)));
RATES(:,25) = - ALGEBRAIC(:,96) - ALGEBRAIC(:,105);
RATES(:,26) = - ALGEBRAIC(:,92) - ALGEBRAIC(:,105);
RATES(:,28) = - ALGEBRAIC(:,100)+ALGEBRAIC(:,105);
ALGEBRAIC(:,7) = CONSTANTS(:,88)+STATES(:,5);
ALGEBRAIC(:,39) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,37).*ALGEBRAIC(:,7));
ALGEBRAIC(:,8) = CONSTANTS(:,89)+STATES(:,6);
ALGEBRAIC(:,46) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,38).*ALGEBRAIC(:,8));
ALGEBRAIC(:,109) = CONSTANTS(:,3).*(exp((ALGEBRAIC(:,39)+ALGEBRAIC(:,29))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,46)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,112) = CONSTANTS(:,4).*(exp(ALGEBRAIC(:,46)./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp((ALGEBRAIC(:,39)+ALGEBRAIC(:,31)+ALGEBRAIC(:,95))./( CONSTANTS(:,117).*CONSTANTS(:,118))));
RATES(:,6) = ALGEBRAIC(:,109) - ALGEBRAIC(:,112);
ALGEBRAIC(:,9) = CONSTANTS(:,85)+STATES(:,7);
ALGEBRAIC(:,49) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,39).*ALGEBRAIC(:,9));
ALGEBRAIC(:,10) = CONSTANTS(:,86)+STATES(:,8);
ALGEBRAIC(:,52) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,40).*ALGEBRAIC(:,10));
ALGEBRAIC(:,115) = CONSTANTS(:,5).*(exp((ALGEBRAIC(:,49)+ALGEBRAIC(:,29))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,52)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
RATES(:,1) = ( - ALGEBRAIC(:,99) - ALGEBRAIC(:,115)) - ALGEBRAIC(:,109);
ALGEBRAIC(:,118) = CONSTANTS(:,6).*(exp(ALGEBRAIC(:,52)./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp((ALGEBRAIC(:,49)+ALGEBRAIC(:,31)+ALGEBRAIC(:,95))./( CONSTANTS(:,117).*CONSTANTS(:,118))));
RATES(:,8) = ALGEBRAIC(:,115) - ALGEBRAIC(:,118);
ALGEBRAIC(:,11) = CONSTANTS(:,90)+STATES(:,9);
ALGEBRAIC(:,55) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,41).*ALGEBRAIC(:,11));
ALGEBRAIC(:,14) = CONSTANTS(:,92)+STATES(:,10);
ALGEBRAIC(:,58) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,42).*ALGEBRAIC(:,14));
ALGEBRAIC(:,121) = CONSTANTS(:,7).*(exp((ALGEBRAIC(:,55)+ALGEBRAIC(:,31))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,58)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
RATES(:,2) = (ALGEBRAIC(:,104)+ALGEBRAIC(:,118)+ALGEBRAIC(:,112)) - ALGEBRAIC(:,121);
ALGEBRAIC(:,20) = CONSTANTS(:,87)+STATES(:,14)+STATES(:,38);
ALGEBRAIC(:,79) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,46).*ALGEBRAIC(:,20));
ALGEBRAIC(:,122) = CONSTANTS(:,10).*(exp((ALGEBRAIC(:,33)+ALGEBRAIC(:,79))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,39)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
RATES(:,14) = - ALGEBRAIC(:,122);
RATES(:,5) = (ALGEBRAIC(:,122) - ALGEBRAIC(:,109))+ALGEBRAIC(:,112);
ALGEBRAIC(:,21) = CONSTANTS(:,84)+STATES(:,15);
ALGEBRAIC(:,84) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,47).*ALGEBRAIC(:,21));
ALGEBRAIC(:,126) = CONSTANTS(:,11).*(exp((ALGEBRAIC(:,84)+ALGEBRAIC(:,33))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,49)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
RATES(:,15) = - ALGEBRAIC(:,126);
RATES(:,7) = (ALGEBRAIC(:,126)+ALGEBRAIC(:,118)) - ALGEBRAIC(:,115);
ALGEBRAIC(:,15) = CONSTANTS(:,94)+STATES(:,11);
ALGEBRAIC(:,63) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,43).*ALGEBRAIC(:,15));
ALGEBRAIC(:,125) = CONSTANTS(:,8).*(exp(ALGEBRAIC(:,58)./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp((ALGEBRAIC(:,55)+ALGEBRAIC(:,63))./( CONSTANTS(:,117).*CONSTANTS(:,118))));
RATES(:,10) = ALGEBRAIC(:,121) - ALGEBRAIC(:,125);
RATES(:,11) = ALGEBRAIC(:,125);
ALGEBRAIC(:,23) = CONSTANTS(:,95)+STATES(:,16)+STATES(:,49);
ALGEBRAIC(:,88) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,48).*ALGEBRAIC(:,23));
ALGEBRAIC(:,24) = CONSTANTS(:,96)+STATES(:,17);
ALGEBRAIC(:,91) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,49).*ALGEBRAIC(:,24));
ALGEBRAIC(:,130) = CONSTANTS(:,12).*(exp((ALGEBRAIC(:,33)+ALGEBRAIC(:,88))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,91)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
RATES(:,3) = (((ALGEBRAIC(:,104) - ALGEBRAIC(:,99)) - ALGEBRAIC(:,122)) - ALGEBRAIC(:,126)) - ALGEBRAIC(:,130);
ALGEBRAIC(:,19) = CONSTANTS(:,91)+STATES(:,13);
ALGEBRAIC(:,75) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,45).*ALGEBRAIC(:,19));
ALGEBRAIC(:,18) = CONSTANTS(:,93)+STATES(:,12);
ALGEBRAIC(:,71) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,44).*ALGEBRAIC(:,18));
ALGEBRAIC(:,129) = CONSTANTS(:,9).*(exp((ALGEBRAIC(:,55)+ALGEBRAIC(:,71))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,75)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
RATES(:,9) = (ALGEBRAIC(:,125) - ALGEBRAIC(:,121)) - ALGEBRAIC(:,129);
RATES(:,12) = - ALGEBRAIC(:,129);
RATES(:,13) = ALGEBRAIC(:,129);
RATES(:,16) = - ALGEBRAIC(:,130);
RATES(:,17) = ALGEBRAIC(:,130);
RATES(:,18) = ALGEBRAIC(:,130);
ALGEBRAIC(:,97) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,55).*ALGEBRAIC(:,32));
ALGEBRAIC(:,62) = CONSTANTS(:,113)+STATES(:,34);
ALGEBRAIC(:,101) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,63).*ALGEBRAIC(:,62));
ALGEBRAIC(:,83) = CONSTANTS(:,110)+STATES(:,41)+STATES(:,52);
ALGEBRAIC(:,127) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,67).*ALGEBRAIC(:,83));
ALGEBRAIC(:,131) = CONSTANTS(:,21).*(exp((ALGEBRAIC(:,97)+ALGEBRAIC(:,127))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,101)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
RATES(:,33) = - ALGEBRAIC(:,131);
ALGEBRAIC(:,110) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,56).*ALGEBRAIC(:,34));
ALGEBRAIC(:,70) = CONSTANTS(:,114)+STATES(:,37);
ALGEBRAIC(:,113) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,64).*ALGEBRAIC(:,70));
ALGEBRAIC(:,133) = CONSTANTS(:,22).*(exp((ALGEBRAIC(:,110)+ALGEBRAIC(:,127))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,113)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
RATES(:,36) = - ALGEBRAIC(:,133);
ALGEBRAIC(:,90) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,52).*ALGEBRAIC(:,27));
ALGEBRAIC(:,116) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,46).*ALGEBRAIC(:,20));
ALGEBRAIC(:,74) = CONSTANTS(:,108)+STATES(:,39);
ALGEBRAIC(:,119) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,65).*ALGEBRAIC(:,74));
ALGEBRAIC(:,135) = CONSTANTS(:,23).*(exp(ALGEBRAIC(:,101)./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp((ALGEBRAIC(:,116)+ALGEBRAIC(:,119)+ALGEBRAIC(:,90))./( CONSTANTS(:,117).*CONSTANTS(:,118))));
RATES(:,31) = ALGEBRAIC(:,135);
RATES(:,34) = ALGEBRAIC(:,131) - ALGEBRAIC(:,135);
ALGEBRAIC(:,106) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,54).*ALGEBRAIC(:,30));
ALGEBRAIC(:,137) = CONSTANTS(:,24).*(exp(ALGEBRAIC(:,113)./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp((ALGEBRAIC(:,116)+ALGEBRAIC(:,119)+ALGEBRAIC(:,106))./( CONSTANTS(:,117).*CONSTANTS(:,118))));
RATES(:,35) = ALGEBRAIC(:,137);
RATES(:,37) = ALGEBRAIC(:,133) - ALGEBRAIC(:,137);
ALGEBRAIC(:,78) = CONSTANTS(:,109)+STATES(:,40);
ALGEBRAIC(:,123) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,66).*ALGEBRAIC(:,78));
ALGEBRAIC(:,139) = CONSTANTS(:,25).*(exp(ALGEBRAIC(:,116)./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp((ALGEBRAIC(:,123)+ALGEBRAIC(:,127))./( CONSTANTS(:,117).*CONSTANTS(:,118))));
RATES(:,38) = (ALGEBRAIC(:,135)+ALGEBRAIC(:,137)) - ALGEBRAIC(:,139);
RATES(:,41) = ( - ALGEBRAIC(:,131) - ALGEBRAIC(:,133))+ALGEBRAIC(:,139);
ALGEBRAIC(:,114) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,61).*ALGEBRAIC(:,54));
ALGEBRAIC(:,87) = CONSTANTS(:,115)+STATES(:,45);
ALGEBRAIC(:,117) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,68).*ALGEBRAIC(:,87));
ALGEBRAIC(:,138) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,67).*ALGEBRAIC(:,83));
ALGEBRAIC(:,140) = CONSTANTS(:,27).*(exp((ALGEBRAIC(:,114)+ALGEBRAIC(:,138))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,117)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
RATES(:,44) = - ALGEBRAIC(:,140);
ALGEBRAIC(:,93) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,53).*ALGEBRAIC(:,28));
ALGEBRAIC(:,141) = CONSTANTS(:,26).*(exp((ALGEBRAIC(:,123)+ALGEBRAIC(:,119))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,93)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
RATES(:,32) = ALGEBRAIC(:,141);
RATES(:,39) = (ALGEBRAIC(:,135)+ALGEBRAIC(:,137)) - ALGEBRAIC(:,141);
RATES(:,40) = ALGEBRAIC(:,139) - ALGEBRAIC(:,141);
ALGEBRAIC(:,124) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,62).*ALGEBRAIC(:,57));
ALGEBRAIC(:,94) = CONSTANTS(:,116)+STATES(:,48);
ALGEBRAIC(:,128) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,69).*ALGEBRAIC(:,94));
ALGEBRAIC(:,142) = CONSTANTS(:,28).*(exp((ALGEBRAIC(:,124)+ALGEBRAIC(:,138))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,128)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
RATES(:,47) = - ALGEBRAIC(:,142);
ALGEBRAIC(:,107) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,58).*ALGEBRAIC(:,45));
ALGEBRAIC(:,132) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,48).*ALGEBRAIC(:,23));
ALGEBRAIC(:,98) = CONSTANTS(:,111)+STATES(:,50);
ALGEBRAIC(:,134) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,70).*ALGEBRAIC(:,98));
ALGEBRAIC(:,143) = CONSTANTS(:,29).*(exp(ALGEBRAIC(:,117)./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp((ALGEBRAIC(:,132)+ALGEBRAIC(:,134)+ALGEBRAIC(:,107))./( CONSTANTS(:,117).*CONSTANTS(:,118))));
RATES(:,42) = ALGEBRAIC(:,143);
RATES(:,45) = ALGEBRAIC(:,140) - ALGEBRAIC(:,143);
ALGEBRAIC(:,120) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,60).*ALGEBRAIC(:,51));
ALGEBRAIC(:,144) = CONSTANTS(:,30).*(exp(ALGEBRAIC(:,128)./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp((ALGEBRAIC(:,132)+ALGEBRAIC(:,134)+ALGEBRAIC(:,120))./( CONSTANTS(:,117).*CONSTANTS(:,118))));
RATES(:,46) = ALGEBRAIC(:,144);
RATES(:,48) = ALGEBRAIC(:,142) - ALGEBRAIC(:,144);
ALGEBRAIC(:,102) = CONSTANTS(:,112)+STATES(:,51);
ALGEBRAIC(:,136) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,71).*ALGEBRAIC(:,102));
ALGEBRAIC(:,145) = CONSTANTS(:,31).*(exp(ALGEBRAIC(:,132)./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp((ALGEBRAIC(:,136)+ALGEBRAIC(:,138))./( CONSTANTS(:,117).*CONSTANTS(:,118))));
RATES(:,49) = (ALGEBRAIC(:,143)+ALGEBRAIC(:,144)) - ALGEBRAIC(:,145);
RATES(:,52) = ( - ALGEBRAIC(:,140) - ALGEBRAIC(:,142))+ALGEBRAIC(:,145);
ALGEBRAIC(:,111) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,59).*ALGEBRAIC(:,48));
ALGEBRAIC(:,146) = CONSTANTS(:,32).*(exp((ALGEBRAIC(:,136)+ALGEBRAIC(:,134))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,111)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
RATES(:,43) = ALGEBRAIC(:,146);
RATES(:,50) = (ALGEBRAIC(:,143)+ALGEBRAIC(:,144)) - ALGEBRAIC(:,146);
RATES(:,51) = ALGEBRAIC(:,145) - ALGEBRAIC(:,146);
RATES = RATES';
end
% Calculate algebraic variables
function ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI,p)
statesSize = size(STATES);
statesColumnCount = statesSize(2);
if ( statesColumnCount == 1)
STATES = STATES';
utilOnes = 1;
else
statesRowCount = statesSize(1);
utilOnes = ones(statesRowCount, 1);
end
ALGEBRAIC(:,27) = CONSTANTS(:,98)+STATES(:,20)+STATES(:,31);
ALGEBRAIC(:,47) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,52).*ALGEBRAIC(:,27));
ALGEBRAIC(:,28) = CONSTANTS(:,99)+STATES(:,21)+STATES(:,32);
ALGEBRAIC(:,50) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,53).*ALGEBRAIC(:,28));
ALGEBRAIC(:,32) = CONSTANTS(:,101)+STATES(:,23)+STATES(:,33);
ALGEBRAIC(:,56) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,55).*ALGEBRAIC(:,32));
ALGEBRAIC(:,64) = CONSTANTS(:,13).*exp((ALGEBRAIC(:,47)+ALGEBRAIC(:,50))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,56)./( CONSTANTS(:,117).*CONSTANTS(:,118)));
m = p.stimmag(1)/p.trAMP(1);
ALGEBRAIC(:,1) = piecewise({VOI<p.stimstart(1)&VOI>p.stimstart(1) - p.trAMP(1), p.stimholding(1)+ m.*((VOI - p.stimstart(1))+p.trAMP(1)) , VOI>=p.stimstart(1)&VOI<p.stimstart(1)+p.stimdur(1), p.stimmag(1)+p.stimholding(1) , VOI<p.stimstart(1)+p.trAMP(1)+p.stimdur(1)&VOI>=p.stimstart(1)+p.stimdur(1), p.stimholding(1)+ - m.*(((VOI - p.stimstart(1)) - p.trAMP(1)) - p.stimdur(1)) }, p.stimholding(1));
ALGEBRAIC(:,25) = ALGEBRAIC(:,1)+STATES(:,19);
ALGEBRAIC(:,40) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,51).*ALGEBRAIC(:,25));
ALGEBRAIC(:,34) = CONSTANTS(:,102)+STATES(:,24)+STATES(:,36);
ALGEBRAIC(:,59) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,56).*ALGEBRAIC(:,34));
ALGEBRAIC(:,72) = CONSTANTS(:,14).*exp((ALGEBRAIC(:,56)+ALGEBRAIC(:,40))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,59)./( CONSTANTS(:,117).*CONSTANTS(:,118)));
ALGEBRAIC(:,30) = CONSTANTS(:,100)+STATES(:,22)+STATES(:,35);
ALGEBRAIC(:,53) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,54).*ALGEBRAIC(:,30));
ALGEBRAIC(:,76) = CONSTANTS(:,15).*exp((ALGEBRAIC(:,53)+ALGEBRAIC(:,50))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,59)./( CONSTANTS(:,117).*CONSTANTS(:,118)));
ALGEBRAIC(:,80) = CONSTANTS(:,16).*exp((ALGEBRAIC(:,47)+ALGEBRAIC(:,40))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,53)./( CONSTANTS(:,117).*CONSTANTS(:,118)));
ALGEBRAIC(:,45) = CONSTANTS(:,103)+STATES(:,26)+STATES(:,42);
ALGEBRAIC(:,73) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,58).*ALGEBRAIC(:,45));
ALGEBRAIC(:,48) = CONSTANTS(:,104)+STATES(:,27)+STATES(:,43);
ALGEBRAIC(:,77) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,59).*ALGEBRAIC(:,48));
ALGEBRAIC(:,54) = CONSTANTS(:,106)+STATES(:,29)+STATES(:,44);
ALGEBRAIC(:,85) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,61).*ALGEBRAIC(:,54));
ALGEBRAIC(:,92) = CONSTANTS(:,17).*exp((ALGEBRAIC(:,73)+ALGEBRAIC(:,77))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,85)./( CONSTANTS(:,117).*CONSTANTS(:,118)));
m = p.stimmag(2)/p.trAMP(2);
ALGEBRAIC(:,2) = piecewise({VOI<p.stimstart(2)&VOI>p.stimstart(2) - p.trAMP(2), p.stimholding(2)+ m.*((VOI - p.stimstart(2))+p.trAMP(2)) , VOI>=p.stimstart(2)&VOI<p.stimstart(2)+p.stimdur(2), p.stimmag(2)+p.stimholding(2) , VOI<p.stimstart(2)+p.trAMP(2)+p.stimdur(2)&VOI>=p.stimstart(2)+p.stimdur(2), p.stimholding(2)+ - m.*(((VOI - p.stimstart(2)) - p.trAMP(2)) - p.stimdur(2)) }, p.stimholding(2));
ALGEBRAIC(:,38) = ALGEBRAIC(:,2)+STATES(:,25);
ALGEBRAIC(:,65) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,57).*ALGEBRAIC(:,38));
ALGEBRAIC(:,57) = CONSTANTS(:,107)+STATES(:,30)+STATES(:,47);
ALGEBRAIC(:,89) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,62).*ALGEBRAIC(:,57));
ALGEBRAIC(:,96) = CONSTANTS(:,18).*exp((ALGEBRAIC(:,85)+ALGEBRAIC(:,65))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,89)./( CONSTANTS(:,117).*CONSTANTS(:,118)));
ALGEBRAIC(:,51) = CONSTANTS(:,105)+STATES(:,28)+STATES(:,46);
ALGEBRAIC(:,81) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,60).*ALGEBRAIC(:,51));
ALGEBRAIC(:,100) = CONSTANTS(:,19).*exp((ALGEBRAIC(:,81)+ALGEBRAIC(:,77))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,89)./( CONSTANTS(:,117).*CONSTANTS(:,118)));
ALGEBRAIC(:,3) = CONSTANTS(:,80)+STATES(:,1);
ALGEBRAIC(:,29) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,33).*ALGEBRAIC(:,3));
ALGEBRAIC(:,5) = CONSTANTS(:,81)+STATES(:,3);
ALGEBRAIC(:,33) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,35).*ALGEBRAIC(:,5));
ALGEBRAIC(:,6) = CONSTANTS(:,83)+STATES(:,4);
ALGEBRAIC(:,35) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,36).*ALGEBRAIC(:,6));
ALGEBRAIC(:,99) = CONSTANTS(:,1).*(exp((ALGEBRAIC(:,33)+ALGEBRAIC(:,29))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,35)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,4) = CONSTANTS(:,82)+STATES(:,2);
ALGEBRAIC(:,31) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,34).*ALGEBRAIC(:,4));
ALGEBRAIC(:,26) = CONSTANTS(:,97)+STATES(:,18);
ALGEBRAIC(:,95) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,50).*ALGEBRAIC(:,26));
ALGEBRAIC(:,104) = CONSTANTS(:,2).*(exp(ALGEBRAIC(:,35)./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp((ALGEBRAIC(:,33)+ALGEBRAIC(:,31)+ALGEBRAIC(:,95))./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,105) = CONSTANTS(:,20).*exp((ALGEBRAIC(:,73)+ALGEBRAIC(:,65))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,81)./( CONSTANTS(:,117).*CONSTANTS(:,118)));
ALGEBRAIC(:,7) = CONSTANTS(:,88)+STATES(:,5);
ALGEBRAIC(:,39) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,37).*ALGEBRAIC(:,7));
ALGEBRAIC(:,8) = CONSTANTS(:,89)+STATES(:,6);
ALGEBRAIC(:,46) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,38).*ALGEBRAIC(:,8));
ALGEBRAIC(:,109) = CONSTANTS(:,3).*(exp((ALGEBRAIC(:,39)+ALGEBRAIC(:,29))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,46)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,112) = CONSTANTS(:,4).*(exp(ALGEBRAIC(:,46)./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp((ALGEBRAIC(:,39)+ALGEBRAIC(:,31)+ALGEBRAIC(:,95))./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,9) = CONSTANTS(:,85)+STATES(:,7);
ALGEBRAIC(:,49) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,39).*ALGEBRAIC(:,9));
ALGEBRAIC(:,10) = CONSTANTS(:,86)+STATES(:,8);
ALGEBRAIC(:,52) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,40).*ALGEBRAIC(:,10));
ALGEBRAIC(:,115) = CONSTANTS(:,5).*(exp((ALGEBRAIC(:,49)+ALGEBRAIC(:,29))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,52)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,118) = CONSTANTS(:,6).*(exp(ALGEBRAIC(:,52)./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp((ALGEBRAIC(:,49)+ALGEBRAIC(:,31)+ALGEBRAIC(:,95))./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,11) = CONSTANTS(:,90)+STATES(:,9);
ALGEBRAIC(:,55) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,41).*ALGEBRAIC(:,11));
ALGEBRAIC(:,14) = CONSTANTS(:,92)+STATES(:,10);
ALGEBRAIC(:,58) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,42).*ALGEBRAIC(:,14));
ALGEBRAIC(:,121) = CONSTANTS(:,7).*(exp((ALGEBRAIC(:,55)+ALGEBRAIC(:,31))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,58)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,20) = CONSTANTS(:,87)+STATES(:,14)+STATES(:,38);
ALGEBRAIC(:,79) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,46).*ALGEBRAIC(:,20));
ALGEBRAIC(:,122) = CONSTANTS(:,10).*(exp((ALGEBRAIC(:,33)+ALGEBRAIC(:,79))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,39)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,21) = CONSTANTS(:,84)+STATES(:,15);
ALGEBRAIC(:,84) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,47).*ALGEBRAIC(:,21));
ALGEBRAIC(:,126) = CONSTANTS(:,11).*(exp((ALGEBRAIC(:,84)+ALGEBRAIC(:,33))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,49)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,15) = CONSTANTS(:,94)+STATES(:,11);
ALGEBRAIC(:,63) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,43).*ALGEBRAIC(:,15));
ALGEBRAIC(:,125) = CONSTANTS(:,8).*(exp(ALGEBRAIC(:,58)./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp((ALGEBRAIC(:,55)+ALGEBRAIC(:,63))./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,23) = CONSTANTS(:,95)+STATES(:,16)+STATES(:,49);
ALGEBRAIC(:,88) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,48).*ALGEBRAIC(:,23));
ALGEBRAIC(:,24) = CONSTANTS(:,96)+STATES(:,17);
ALGEBRAIC(:,91) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,49).*ALGEBRAIC(:,24));
ALGEBRAIC(:,130) = CONSTANTS(:,12).*(exp((ALGEBRAIC(:,33)+ALGEBRAIC(:,88))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,91)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,19) = CONSTANTS(:,91)+STATES(:,13);
ALGEBRAIC(:,75) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,45).*ALGEBRAIC(:,19));
ALGEBRAIC(:,18) = CONSTANTS(:,93)+STATES(:,12);
ALGEBRAIC(:,71) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,44).*ALGEBRAIC(:,18));
ALGEBRAIC(:,129) = CONSTANTS(:,9).*(exp((ALGEBRAIC(:,55)+ALGEBRAIC(:,71))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,75)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,97) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,55).*ALGEBRAIC(:,32));
ALGEBRAIC(:,62) = CONSTANTS(:,113)+STATES(:,34);
ALGEBRAIC(:,101) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,63).*ALGEBRAIC(:,62));
ALGEBRAIC(:,83) = CONSTANTS(:,110)+STATES(:,41)+STATES(:,52);
ALGEBRAIC(:,127) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,67).*ALGEBRAIC(:,83));
ALGEBRAIC(:,131) = CONSTANTS(:,21).*(exp((ALGEBRAIC(:,97)+ALGEBRAIC(:,127))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,101)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,110) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,56).*ALGEBRAIC(:,34));
ALGEBRAIC(:,70) = CONSTANTS(:,114)+STATES(:,37);
ALGEBRAIC(:,113) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,64).*ALGEBRAIC(:,70));
ALGEBRAIC(:,133) = CONSTANTS(:,22).*(exp((ALGEBRAIC(:,110)+ALGEBRAIC(:,127))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,113)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,90) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,52).*ALGEBRAIC(:,27));
ALGEBRAIC(:,116) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,46).*ALGEBRAIC(:,20));
ALGEBRAIC(:,74) = CONSTANTS(:,108)+STATES(:,39);
ALGEBRAIC(:,119) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,65).*ALGEBRAIC(:,74));
ALGEBRAIC(:,135) = CONSTANTS(:,23).*(exp(ALGEBRAIC(:,101)./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp((ALGEBRAIC(:,116)+ALGEBRAIC(:,119)+ALGEBRAIC(:,90))./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,106) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,54).*ALGEBRAIC(:,30));
ALGEBRAIC(:,137) = CONSTANTS(:,24).*(exp(ALGEBRAIC(:,113)./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp((ALGEBRAIC(:,116)+ALGEBRAIC(:,119)+ALGEBRAIC(:,106))./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,78) = CONSTANTS(:,109)+STATES(:,40);
ALGEBRAIC(:,123) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,66).*ALGEBRAIC(:,78));
ALGEBRAIC(:,139) = CONSTANTS(:,25).*(exp(ALGEBRAIC(:,116)./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp((ALGEBRAIC(:,123)+ALGEBRAIC(:,127))./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,114) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,61).*ALGEBRAIC(:,54));
ALGEBRAIC(:,87) = CONSTANTS(:,115)+STATES(:,45);
ALGEBRAIC(:,117) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,68).*ALGEBRAIC(:,87));
ALGEBRAIC(:,138) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,67).*ALGEBRAIC(:,83));
ALGEBRAIC(:,140) = CONSTANTS(:,27).*(exp((ALGEBRAIC(:,114)+ALGEBRAIC(:,138))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,117)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,93) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,53).*ALGEBRAIC(:,28));
ALGEBRAIC(:,141) = CONSTANTS(:,26).*(exp((ALGEBRAIC(:,123)+ALGEBRAIC(:,119))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,93)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,124) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,62).*ALGEBRAIC(:,57));
ALGEBRAIC(:,94) = CONSTANTS(:,116)+STATES(:,48);
ALGEBRAIC(:,128) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,69).*ALGEBRAIC(:,94));
ALGEBRAIC(:,142) = CONSTANTS(:,28).*(exp((ALGEBRAIC(:,124)+ALGEBRAIC(:,138))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,128)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,107) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,58).*ALGEBRAIC(:,45));
ALGEBRAIC(:,132) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,48).*ALGEBRAIC(:,23));
ALGEBRAIC(:,98) = CONSTANTS(:,111)+STATES(:,50);
ALGEBRAIC(:,134) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,70).*ALGEBRAIC(:,98));
ALGEBRAIC(:,143) = CONSTANTS(:,29).*(exp(ALGEBRAIC(:,117)./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp((ALGEBRAIC(:,132)+ALGEBRAIC(:,134)+ALGEBRAIC(:,107))./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,120) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,60).*ALGEBRAIC(:,51));
ALGEBRAIC(:,144) = CONSTANTS(:,30).*(exp(ALGEBRAIC(:,128)./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp((ALGEBRAIC(:,132)+ALGEBRAIC(:,134)+ALGEBRAIC(:,120))./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,102) = CONSTANTS(:,112)+STATES(:,51);
ALGEBRAIC(:,136) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,71).*ALGEBRAIC(:,102));
ALGEBRAIC(:,145) = CONSTANTS(:,31).*(exp(ALGEBRAIC(:,132)./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp((ALGEBRAIC(:,136)+ALGEBRAIC(:,138))./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,111) = CONSTANTS(:,117).*CONSTANTS(:,118).*log( CONSTANTS(:,59).*ALGEBRAIC(:,48));
ALGEBRAIC(:,146) = CONSTANTS(:,32).*(exp((ALGEBRAIC(:,136)+ALGEBRAIC(:,134))./( CONSTANTS(:,117).*CONSTANTS(:,118))) - exp(ALGEBRAIC(:,111)./( CONSTANTS(:,117).*CONSTANTS(:,118))));
ALGEBRAIC(:,12) = ALGEBRAIC(:,3)+ALGEBRAIC(:,6)+ALGEBRAIC(:,10)+ALGEBRAIC(:,8);
ALGEBRAIC(:,13) = ALGEBRAIC(:,5)+ALGEBRAIC(:,6)+ALGEBRAIC(:,9)+ALGEBRAIC(:,10)+ALGEBRAIC(:,7)+ALGEBRAIC(:,8);
ALGEBRAIC(:,16) = ALGEBRAIC(:,4)+ALGEBRAIC(:,14)+STATES(:,11);
ALGEBRAIC(:,17) = ALGEBRAIC(:,4)+ALGEBRAIC(:,14)+ALGEBRAIC(:,15)+ALGEBRAIC(:,3)+ALGEBRAIC(:,6)+ALGEBRAIC(:,8)+ALGEBRAIC(:,10);
ALGEBRAIC(:,22) = ALGEBRAIC(:,20)+ALGEBRAIC(:,7)+ALGEBRAIC(:,8);
ALGEBRAIC(:,36) = ALGEBRAIC(:,25)+ALGEBRAIC(:,34)+ALGEBRAIC(:,30);
ALGEBRAIC(:,37) = ALGEBRAIC(:,27)+ALGEBRAIC(:,32)+ALGEBRAIC(:,30)+ALGEBRAIC(:,34);
ALGEBRAIC(:,41) = ALGEBRAIC(:,25)+ALGEBRAIC(:,30)+ALGEBRAIC(:,34);
ALGEBRAIC(:,42) = ALGEBRAIC(:,27)+ALGEBRAIC(:,30)+ALGEBRAIC(:,32)+ALGEBRAIC(:,34);
ALGEBRAIC(:,43) = ALGEBRAIC(:,28)+ALGEBRAIC(:,32)+ALGEBRAIC(:,34);
ALGEBRAIC(:,44) = ALGEBRAIC(:,27)+ALGEBRAIC(:,32)+ALGEBRAIC(:,30)+ALGEBRAIC(:,34);
ALGEBRAIC(:,60) = ALGEBRAIC(:,38)+ALGEBRAIC(:,57)+ALGEBRAIC(:,51);
ALGEBRAIC(:,61) = ALGEBRAIC(:,45)+ALGEBRAIC(:,54)+ALGEBRAIC(:,51)+ALGEBRAIC(:,57);
ALGEBRAIC(:,66) = ALGEBRAIC(:,38)+ALGEBRAIC(:,51)+ALGEBRAIC(:,57);
ALGEBRAIC(:,67) = ALGEBRAIC(:,45)+ALGEBRAIC(:,51)+ALGEBRAIC(:,54)+ALGEBRAIC(:,57);
ALGEBRAIC(:,68) = ALGEBRAIC(:,48)+ALGEBRAIC(:,54)+ALGEBRAIC(:,57);
ALGEBRAIC(:,69) = ALGEBRAIC(:,45)+ALGEBRAIC(:,54)+ALGEBRAIC(:,51)+ALGEBRAIC(:,57);
ALGEBRAIC(:,82) = ALGEBRAIC(:,28)+ALGEBRAIC(:,32)+ALGEBRAIC(:,34)+ALGEBRAIC(:,62)+ALGEBRAIC(:,70)+ALGEBRAIC(:,20)+ALGEBRAIC(:,78);
ALGEBRAIC(:,86) = ALGEBRAIC(:,28)+ALGEBRAIC(:,32)+ALGEBRAIC(:,34)+ALGEBRAIC(:,20)+ALGEBRAIC(:,78);
ALGEBRAIC(:,103) = ALGEBRAIC(:,48)+ALGEBRAIC(:,54)+ALGEBRAIC(:,57)+ALGEBRAIC(:,87)+ALGEBRAIC(:,94)+ALGEBRAIC(:,23)+ALGEBRAIC(:,102);
ALGEBRAIC(:,108) = ALGEBRAIC(:,48)+ALGEBRAIC(:,54)+ALGEBRAIC(:,57)+ALGEBRAIC(:,23)+ALGEBRAIC(:,102);
end
% Compute result of a piecewise function
function x = piecewise(cases, default)
set = [0];
for i = 1:2:length(cases)
if (length(cases{i+1}) == 1)
x(cases{i} & ~set,:) = cases{i+1};
else
x(cases{i} & ~set,:) = cases{i+1}(cases{i} & ~set);
end
set = set | cases{i};
if(set), break, end
end
if (length(default) == 1)
x(~set,:) = default;
else
x(~set,:) = default(~set);
end
end
% Pad out or shorten strings to a set length
function strout = strpad(strin)
req_length = 60;
insize = size(strin,2);
if insize > req_length
strout = strin(1:req_length);
else
strout = [strin, blanks(req_length - insize)];
end
end
