- Author:
- Shelley Fong <s.fong@auckland.ac.nz>
- Date:
- 2022-05-05 12:59:54+12:00
- Desc:
- submodules updated
- Permanent Source URI:
- https://staging.physiomeproject.org/workspace/705/rawfile/06090258b1d8e18036cfc017964254a6914e9b05/FCU_adenylylCyclase.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 =100;
end
% There are a total of 50 entries in each of the rate and state variable arrays.
% There are a total of 101 entries 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 in component environment (fmol)', ...
'q_cAMP in component environment (fmol)', ...
'q_RB1 in component environment (fmol)', ...
'q_Gs in component environment (fmol)', ...
'q_RM2 in component environment (fmol)', ...
'q_Gi in component environment (fmol)'};
% labels = {'q_RB1_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-4]; % 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 = [1.888e10,1.888e10]; %[1e6,1e6];
p.stimstart = [1.2e-6,3e-6];
p.trAMP = [1e-6,1e-6]; % seconds for rAMP start
p.stimdur = [1,1];
if true
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_LB1 in component environment (fmol)', ...
'q_LM2 in component environment (fmol)', ...
'q_L_RB1_Gs in component environment (fmol)', ...
'q_L_RM2_Gi in component environment (fmol)', ...
'q_Gsa_GTP in component environment (fmol)', ...
'q_Gia_GTP in component environment (fmol)', ...
'q_Gsa_GTP_AC in component environment (fmol)', ...
'q_AC in component environment (fmol)', ...
'q_cAMP in component environment (fmol)', ...
'q_ATP in component environment (fmol)'};
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('LRB1\nGmult=%g', Gmult),ceil(sqrt(length(i_st))))
plot_selected(i_alg,VOI,ALGEBRAIC,legend_VOI,LEGEND_ALGEBRAIC,sprintf('LRB1\nGmult=%g', Gmult),ceil(sqrt(length(i_alg))))
end
% plot chemostat concentrations: they should be constant, or machine
% error order
labels = {...
'LB1_T in component environment (fmol)',...
'RB1_T in component environment (fmol)',...
'Gs_T in component environment (fmol)',...
'adenosine_T in component environment (fmol)'
};
% debug RB1_t
if false
labels = {'q_RB1 in component LRGbinding_B1AR (fmol)','q_RB1 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('RB1\nGmult=%g', Gmult),ceil(sqrt(length(i_st))))
end
% debug aGs_GTP and aGiGTP
if false
labels = {...
'q_RB1GsP in component environment (fmol)',...
'q_R_M2GiP in component environment (fmol)',...
'q_Gsa_GTP in component environment (fmol)',...
'q_Gia_GTP in component environment (fmol)',...
'vphos_RB1Gs in component GsProtein (fmol_per_sec)',...
'vphos_LRB1Gs 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)',...
'vhyd_Gs in component GsProtein (fmol_per_sec)',...
'vhyd_Gi in component GiProtein (fmol_per_sec)',...
'q_Gsa_GTP in component GsProtein (fmol)',...
'q_Gia_GTP in component GiProtein (fmol)',...
};
[~, 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_Rswitch_B1 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,14) = strpad('kappa_LRswitch_B1 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,15) = strpad('kappa_C_B1 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,16) = strpad('kappa_RB1 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,17) = strpad('kappa_L_actR in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,18) = strpad('kappa_Act1_Gs in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,19) = strpad('kappa_Act2_Gs in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,20) = strpad('kappa_Hyd_Gs in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,21) = strpad('kappa_Reassoc_Gs in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,22) = strpad('kappa_InternRB1 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,23) = strpad('kappa_InternLRB1 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,24) = strpad('kappa_Rswitch_M2 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,25) = strpad('kappa_LRswitch_M2 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,26) = strpad('kappa_C_M2 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,27) = strpad('kappa_R_M2 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,28) = strpad('kappa_L_M2 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('kappa_InternR_M2 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,34) = strpad('kappa_InternLR_M2 in component BG_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,35) = strpad('K_ATP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,36) = strpad('K_cAMP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,37) = strpad('K_AC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,38) = strpad('K_AC_ATP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,39) = strpad('K_Gsa_GTP_AC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,40) = strpad('K_Gsa_GTP_AC_ATP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,41) = strpad('K_FSK_AC in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,42) = strpad('K_FSK_AC_ATP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,43) = strpad('K_PDE in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,44) = strpad('K_PDE_cAMP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,45) = strpad('K_five_AMP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,46) = strpad('K_IBMX in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,47) = strpad('K_PDEinh in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,48) = strpad('K_Gsa_GTP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,49) = strpad('K_FSK in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,50) = strpad('K_Gia_GTP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,51) = strpad('K_ACinh in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,52) = strpad('K_PPi in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,53) = strpad('K_RB1_inactive in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,54) = strpad('K_L_RB1_inactive in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,55) = strpad('K_LB1 in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,56) = strpad('K_RB1 in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,57) = strpad('K_Gs in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,58) = strpad('K_RB1_Gs in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,59) = strpad('K_L_RB1 in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,60) = strpad('K_L_RB1_Gs in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,61) = strpad('K_Gsbetagamma in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,62) = strpad('K_Gsa_GDP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,63) = strpad('K_GTP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,64) = strpad('K_GDP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,65) = strpad('K_Pi in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,66) = strpad('K_RB1_tag in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,67) = strpad('K_L_RB1_tag in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,68) = strpad('K_RB1_GRKArr in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,69) = strpad('K_L_RB1_GRKArr in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,70) = strpad('K_GRKArr in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,71) = strpad('K_RM2_inactive in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,72) = strpad('K_L_RM2_inactive in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,73) = strpad('K_LM2 in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,74) = strpad('K_RM2 in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,75) = strpad('K_Gi in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,76) = strpad('K_RM2_Gi in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,77) = strpad('K_L_RM2 in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,78) = strpad('K_L_RM2_Gi in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,79) = strpad('K_Gibetagamma in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,80) = strpad('K_Gia_GDP in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,81) = strpad('K_RM2_tag in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,82) = strpad('K_L_RM2_tag in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,83) = strpad('K_RM2_GRKArr in component BG_parameters (per_fmol)');
LEGEND_CONSTANTS(:,84) = strpad('K_L_RM2_GRKArr in component BG_parameters (per_fmol)');
LEGEND_VOI = strpad('time in component environment (second)');
LEGEND_CONSTANTS(:,85) = strpad('vol_myo in component environment (pL)');
LEGEND_CONSTANTS(:,86) = strpad('freq in component environment (dimensionless)');
LEGEND_CONSTANTS(:,87) = strpad('stimSt1 in component environment (second)');
LEGEND_CONSTANTS(:,88) = strpad('stimDur1 in component environment (second)');
LEGEND_CONSTANTS(:,89) = strpad('tRamp1 in component environment (second)');
LEGEND_CONSTANTS(:,90) = strpad('stimMag1 in component environment (fmol)');
LEGEND_CONSTANTS(:,91) = strpad('stimHolding1 in component environment (fmol)');
LEGEND_CONSTANTS(:,100) = strpad('m1 in component environment (fmol_per_sec)');
LEGEND_CONSTANTS(:,92) = strpad('stimSt2 in component environment (second)');
LEGEND_CONSTANTS(:,93) = strpad('stimDur2 in component environment (second)');
LEGEND_CONSTANTS(:,94) = strpad('tRamp2 in component environment (second)');
LEGEND_CONSTANTS(:,95) = strpad('stimMag2 in component environment (fmol)');
LEGEND_CONSTANTS(:,96) = strpad('stimHolding2 in component environment (fmol)');
LEGEND_CONSTANTS(:,101) = strpad('m2 in component environment (fmol_per_sec)');
LEGEND_STATES(:,1) = strpad('q_ATP in component environment (fmol)');
LEGEND_STATES(:,2) = strpad('q_AC in component environment (fmol)');
LEGEND_STATES(:,3) = strpad('q_cAMP in component environment (fmol)');
LEGEND_STATES(:,4) = strpad('q_AC_ATP in component environment (fmol)');
LEGEND_STATES(:,5) = strpad('q_FSK in component environment (fmol)');
LEGEND_STATES(:,6) = strpad('q_FSK_AC in component environment (fmol)');
LEGEND_STATES(:,7) = strpad('q_FSK_AC_ATP in component environment (fmol)');
LEGEND_STATES(:,8) = strpad('q_Gsa_GTP in component environment (fmol)');
LEGEND_STATES(:,9) = strpad('q_Gsa_GTP_AC in component environment (fmol)');
LEGEND_STATES(:,10) = strpad('q_Gsa_GTP_AC_ATP in component environment (fmol)');
LEGEND_STATES(:,11) = strpad('q_PDE in component environment (fmol)');
LEGEND_STATES(:,12) = strpad('q_PDEinh in component environment (fmol)');
LEGEND_STATES(:,13) = strpad('q_PDE_cAMP in component environment (fmol)');
LEGEND_STATES(:,14) = strpad('q_IBMX in component environment (fmol)');
LEGEND_STATES(:,15) = strpad('q_five_AMP in component environment (fmol)');
LEGEND_STATES(:,16) = strpad('q_Gia_GTP in component environment (fmol)');
LEGEND_STATES(:,17) = strpad('q_ACinh in component environment (fmol)');
LEGEND_STATES(:,18) = strpad('q_PPi in component environment (fmol)');
LEGEND_STATES(:,19) = strpad('q_RB1_inactive in component environment (fmol)');
LEGEND_STATES(:,20) = strpad('q_L_RB1_inactive in component environment (fmol)');
LEGEND_STATES(:,21) = strpad('q_LB1_ode in component environment (fmol)');
LEGEND_ALGEBRAIC(:,4) = strpad('q_LB1_stim in component environment (fmol)');
LEGEND_ALGEBRAIC(:,6) = strpad('q_LB1 in component environment (fmol)');
LEGEND_STATES(:,22) = strpad('q_RB1 in component environment (fmol)');
LEGEND_STATES(:,23) = strpad('q_Gs in component environment (fmol)');
LEGEND_STATES(:,24) = strpad('q_RB1_Gs in component environment (fmol)');
LEGEND_STATES(:,25) = strpad('q_L_RB1 in component environment (fmol)');
LEGEND_STATES(:,26) = strpad('q_L_RB1_Gs in component environment (fmol)');
LEGEND_STATES(:,27) = strpad('q_Gsbetagamma in component environment (fmol)');
LEGEND_STATES(:,28) = strpad('q_Gsa_GDP in component environment (fmol)');
LEGEND_STATES(:,29) = strpad('q_GTP in component environment (fmol)');
LEGEND_STATES(:,30) = strpad('q_GDP in component environment (fmol)');
LEGEND_STATES(:,31) = strpad('q_Pi in component environment (fmol)');
LEGEND_STATES(:,32) = strpad('q_RB1_tag in component environment (fmol)');
LEGEND_STATES(:,33) = strpad('q_L_RB1_tag in component environment (fmol)');
LEGEND_STATES(:,34) = strpad('q_RB1_GRKArr in component environment (fmol)');
LEGEND_STATES(:,35) = strpad('q_L_RB1_GRKArr in component environment (fmol)');
LEGEND_STATES(:,36) = strpad('q_GRKArr in component environment (fmol)');
LEGEND_STATES(:,37) = strpad('q_RM2_inactive in component environment (fmol)');
LEGEND_STATES(:,38) = strpad('q_L_RM2_inactive in component environment (fmol)');
LEGEND_ALGEBRAIC(:,8) = strpad('q_LM2 in component environment (fmol)');
LEGEND_ALGEBRAIC(:,5) = strpad('q_LM2_stim in component environment (fmol)');
LEGEND_STATES(:,39) = strpad('q_LM2_ode in component environment (fmol)');
LEGEND_STATES(:,40) = strpad('q_RM2 in component environment (fmol)');
LEGEND_STATES(:,41) = strpad('q_Gi in component environment (fmol)');
LEGEND_STATES(:,42) = strpad('q_RM2_Gi in component environment (fmol)');
LEGEND_STATES(:,43) = strpad('q_L_RM2 in component environment (fmol)');
LEGEND_STATES(:,44) = strpad('q_L_RM2_Gi in component environment (fmol)');
LEGEND_STATES(:,45) = strpad('q_Gibetagamma in component environment (fmol)');
LEGEND_STATES(:,46) = strpad('q_Gia_GDP in component environment (fmol)');
LEGEND_STATES(:,47) = strpad('q_RM2_tag in component environment (fmol)');
LEGEND_STATES(:,48) = strpad('q_L_RM2_tag in component environment (fmol)');
LEGEND_STATES(:,49) = strpad('q_RM2_GRKArr in component environment (fmol)');
LEGEND_STATES(:,50) = strpad('q_L_RM2_GRKArr in component environment (fmol)');
LEGEND_ALGEBRAIC(:,7) = strpad('LB1_T in component environment (fmol)');
LEGEND_ALGEBRAIC(:,1) = strpad('RB1_T in component environment (fmol)');
LEGEND_ALGEBRAIC(:,2) = strpad('Gs_T in component environment (fmol)');
LEGEND_ALGEBRAIC(:,3) = strpad('adenosine_T in component environment (fmol)');
LEGEND_ALGEBRAIC(:,27) = strpad('v_1a in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,28) = strpad('v_1b in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,29) = strpad('v_2a in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,30) = strpad('v_2b in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,31) = strpad('v_3a in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,32) = strpad('v_3b in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,33) = strpad('v_4a in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,35) = strpad('v_4b in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,37) = strpad('v_5 in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,34) = strpad('v_6 in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,36) = strpad('v_7 in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,38) = strpad('v_GiAC in component cAMP (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,58) = strpad('v_Rswitch_B1 in component GPCRB1AR_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,59) = strpad('v_LRswitch_B1 in component GPCRB1AR_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,60) = strpad('v_C_B1 in component GPCRB1AR_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,61) = strpad('v_RB1 in component GPCRB1AR_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,62) = strpad('v_L_actR in component GPCRB1AR_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,63) = strpad('v_Act1_Gs in component GPCRB1AR_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,64) = strpad('v_Act2_Gs in component GPCRB1AR_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,66) = strpad('v_Hyd_Gs in component GPCRB1AR_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,67) = strpad('v_Reassoc_Gs in component GPCRB1AR_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,68) = strpad('v_InternRB1 in component GPCRB1AR_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,69) = strpad('v_InternLRB1 in component GPCRB1AR_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,89) = strpad('v_Rswitch_M2 in component GPCR_M2_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,90) = strpad('v_LRswitch_M2 in component GPCR_M2_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,91) = strpad('v_C_M2 in component GPCR_M2_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,92) = strpad('v_R_M2 in component GPCR_M2_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,93) = strpad('v_L_M2 in component GPCR_M2_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,94) = strpad('v_Act1_Gi in component GPCR_M2_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,95) = strpad('v_Act2_Gi in component GPCR_M2_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,97) = strpad('v_Hyd_Gi in component GPCR_M2_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,99) = strpad('v_Reassoc_Gi in component GPCR_M2_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,98) = strpad('v_InternR_M2 in component GPCR_M2_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,100) = strpad('v_InternLR_M2 in component GPCR_M2_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,65) = strpad('v_Rsynthesis_B1 in component environment (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,96) = strpad('v_Rsynthesis_M2 in component environment (fmol_per_sec)');
LEGEND_CONSTANTS(:,97) = strpad('R in component constants (J_per_K_per_mol)');
LEGEND_CONSTANTS(:,98) = strpad('T in component constants (kelvin)');
LEGEND_CONSTANTS(:,99) = strpad('F in component constants (C_per_mol)');
LEGEND_ALGEBRAIC(:,9) = strpad('mu_ATP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,10) = strpad('mu_cAMP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,11) = strpad('mu_AC in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,12) = strpad('mu_AC_ATP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,13) = strpad('mu_Gsa_GTP_AC in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,14) = strpad('mu_Gsa_GTP_AC_ATP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,15) = strpad('mu_FSK_AC in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,16) = strpad('mu_FSK_AC_ATP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,17) = strpad('mu_PDE in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,18) = strpad('mu_PDE_cAMP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,19) = strpad('mu_five_AMP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,20) = strpad('mu_IBMX in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,21) = strpad('mu_PDEinh in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,22) = strpad('mu_Gsa_GTP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,23) = strpad('mu_FSK in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,24) = strpad('mu_Gia_GTP in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,25) = strpad('mu_ACinh in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,26) = strpad('mu_PPi in component cAMP (J_per_mol)');
LEGEND_ALGEBRAIC(:,39) = strpad('mu_RB1_inactive in component GPCRB1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,40) = strpad('mu_L_RB1_inactive in component GPCRB1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,41) = strpad('mu_LB1 in component GPCRB1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,42) = strpad('mu_RB1 in component GPCRB1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,43) = strpad('mu_Gs in component GPCRB1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,44) = strpad('mu_RB1_Gs in component GPCRB1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,45) = strpad('mu_L_RB1 in component GPCRB1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,46) = strpad('mu_L_RB1_Gs in component GPCRB1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,47) = strpad('mu_Gsa_GTP in component GPCRB1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,48) = strpad('mu_Gsbetagamma in component GPCRB1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,49) = strpad('mu_Gsa_GDP in component GPCRB1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,50) = strpad('mu_GTP in component GPCRB1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,51) = strpad('mu_GDP in component GPCRB1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,52) = strpad('mu_Pi in component GPCRB1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,53) = strpad('mu_RB1_tag in component GPCRB1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,54) = strpad('mu_L_RB1_tag in component GPCRB1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,55) = strpad('mu_RB1_GRKArr in component GPCRB1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,56) = strpad('mu_L_RB1_GRKArr in component GPCRB1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,57) = strpad('mu_GRKArr in component GPCRB1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,70) = strpad('mu_RM2_inactive in component GPCR_M2_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,71) = strpad('mu_L_RM2_inactive in component GPCR_M2_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,72) = strpad('mu_LM2 in component GPCR_M2_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,73) = strpad('mu_RM2 in component GPCR_M2_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,74) = strpad('mu_Gi in component GPCR_M2_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,75) = strpad('mu_RM2_Gi in component GPCR_M2_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,76) = strpad('mu_L_RM2 in component GPCR_M2_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,77) = strpad('mu_L_RM2_Gi in component GPCR_M2_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,78) = strpad('mu_Gia_GTP in component GPCR_M2_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,79) = strpad('mu_Gibetagamma in component GPCR_M2_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,80) = strpad('mu_Gia_GDP in component GPCR_M2_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,81) = strpad('mu_GTP in component GPCR_M2_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,82) = strpad('mu_GDP in component GPCR_M2_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,83) = strpad('mu_Pi in component GPCR_M2_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,84) = strpad('mu_RM2_tag in component GPCR_M2_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,85) = strpad('mu_L_RM2_tag in component GPCR_M2_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,86) = strpad('mu_RM2_GRKArr in component GPCR_M2_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,87) = strpad('mu_L_RM2_GRKArr in component GPCR_M2_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,88) = strpad('mu_GRKArr in component GPCR_M2_reduced (J_per_mol)');
LEGEND_RATES(:,1) = strpad('d/dt q_ATP in component environment (fmol)');
LEGEND_RATES(:,2) = strpad('d/dt q_AC in component environment (fmol)');
LEGEND_RATES(:,4) = strpad('d/dt q_AC_ATP in component environment (fmol)');
LEGEND_RATES(:,3) = strpad('d/dt q_cAMP in component environment (fmol)');
LEGEND_RATES(:,5) = strpad('d/dt q_FSK in component environment (fmol)');
LEGEND_RATES(:,6) = strpad('d/dt q_FSK_AC in component environment (fmol)');
LEGEND_RATES(:,7) = strpad('d/dt q_FSK_AC_ATP in component environment (fmol)');
LEGEND_RATES(:,8) = strpad('d/dt q_Gsa_GTP in component environment (fmol)');
LEGEND_RATES(:,9) = strpad('d/dt q_Gsa_GTP_AC in component environment (fmol)');
LEGEND_RATES(:,10) = strpad('d/dt q_Gsa_GTP_AC_ATP in component environment (fmol)');
LEGEND_RATES(:,13) = strpad('d/dt q_PDE_cAMP in component environment (fmol)');
LEGEND_RATES(:,11) = strpad('d/dt q_PDE in component environment (fmol)');
LEGEND_RATES(:,14) = strpad('d/dt q_IBMX in component environment (fmol)');
LEGEND_RATES(:,12) = strpad('d/dt q_PDEinh in component environment (fmol)');
LEGEND_RATES(:,15) = strpad('d/dt q_five_AMP in component environment (fmol)');
LEGEND_RATES(:,16) = strpad('d/dt q_Gia_GTP in component environment (fmol)');
LEGEND_RATES(:,17) = strpad('d/dt q_ACinh in component environment (fmol)');
LEGEND_RATES(:,18) = strpad('d/dt q_PPi in component environment (fmol)');
LEGEND_RATES(:,19) = strpad('d/dt q_RB1_inactive in component environment (fmol)');
LEGEND_RATES(:,20) = strpad('d/dt q_L_RB1_inactive in component environment (fmol)');
LEGEND_RATES(:,21) = strpad('d/dt q_LB1_ode in component environment (fmol)');
LEGEND_RATES(:,22) = strpad('d/dt q_RB1 in component environment (fmol)');
LEGEND_RATES(:,23) = strpad('d/dt q_Gs in component environment (fmol)');
LEGEND_RATES(:,24) = strpad('d/dt q_RB1_Gs in component environment (fmol)');
LEGEND_RATES(:,25) = strpad('d/dt q_L_RB1 in component environment (fmol)');
LEGEND_RATES(:,26) = strpad('d/dt q_L_RB1_Gs in component environment (fmol)');
LEGEND_RATES(:,27) = strpad('d/dt q_Gsbetagamma in component environment (fmol)');
LEGEND_RATES(:,28) = strpad('d/dt q_Gsa_GDP in component environment (fmol)');
LEGEND_RATES(:,29) = strpad('d/dt q_GTP in component environment (fmol)');
LEGEND_RATES(:,30) = strpad('d/dt q_GDP in component environment (fmol)');
LEGEND_RATES(:,31) = strpad('d/dt q_Pi in component environment (fmol)');
LEGEND_RATES(:,32) = strpad('d/dt q_RB1_tag in component environment (fmol)');
LEGEND_RATES(:,33) = strpad('d/dt q_L_RB1_tag in component environment (fmol)');
LEGEND_RATES(:,34) = strpad('d/dt q_RB1_GRKArr in component environment (fmol)');
LEGEND_RATES(:,35) = strpad('d/dt q_L_RB1_GRKArr in component environment (fmol)');
LEGEND_RATES(:,36) = strpad('d/dt q_GRKArr in component environment (fmol)');
LEGEND_RATES(:,37) = strpad('d/dt q_RM2_inactive in component environment (fmol)');
LEGEND_RATES(:,38) = strpad('d/dt q_L_RM2_inactive in component environment (fmol)');
LEGEND_RATES(:,39) = strpad('d/dt q_LM2_ode in component environment (fmol)');
LEGEND_RATES(:,40) = strpad('d/dt q_RM2 in component environment (fmol)');
LEGEND_RATES(:,41) = strpad('d/dt q_Gi in component environment (fmol)');
LEGEND_RATES(:,42) = strpad('d/dt q_RM2_Gi in component environment (fmol)');
LEGEND_RATES(:,43) = strpad('d/dt q_L_RM2 in component environment (fmol)');
LEGEND_RATES(:,44) = strpad('d/dt q_L_RM2_Gi in component environment (fmol)');
LEGEND_RATES(:,45) = strpad('d/dt q_Gibetagamma in component environment (fmol)');
LEGEND_RATES(:,46) = strpad('d/dt q_Gia_GDP in component environment (fmol)');
LEGEND_RATES(:,47) = strpad('d/dt q_RM2_tag in component environment (fmol)');
LEGEND_RATES(:,48) = strpad('d/dt q_L_RM2_tag in component environment (fmol)');
LEGEND_RATES(:,49) = strpad('d/dt q_RM2_GRKArr in component environment (fmol)');
LEGEND_RATES(:,50) = strpad('d/dt q_L_RM2_GRKArr in component environment (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) = 6.19718e+06;
CONSTANTS(:,2) = 0.00129391;
CONSTANTS(:,3) = 176114;
CONSTANTS(:,4) = 0.0475228;
CONSTANTS(:,5) = 2.64321e+08;
CONSTANTS(:,6) = 3.0735e-17;
CONSTANTS(:,7) = 30960.9;
CONSTANTS(:,8) = 0.119081;
CONSTANTS(:,9) = 823.893;
CONSTANTS(:,10) = 3191.74;
CONSTANTS(:,11) = 479033;
CONSTANTS(:,12) = 2417.47;
CONSTANTS(:,13) = 1.02184;
CONSTANTS(:,14) = 1.49856e-07;
CONSTANTS(:,15) = 4082.77;
CONSTANTS(:,16) = 5.98748e+06;
CONSTANTS(:,17) = 4.27089e-08;
CONSTANTS(:,18) = 0.000215226;
CONSTANTS(:,19) = 167.999;
CONSTANTS(:,20) = 0.00211433;
CONSTANTS(:,21) = 3.99549e-05;
CONSTANTS(:,22) = 0.892127;
CONSTANTS(:,23) = 696367;
CONSTANTS(:,24) = 241052;
CONSTANTS(:,25) = 5.10328;
CONSTANTS(:,26) = 97149.6;
CONSTANTS(:,27) = 2.05674e+06;
CONSTANTS(:,28) = 56.136;
CONSTANTS(:,29) = 0.00220056;
CONSTANTS(:,30) = 0.609877;
CONSTANTS(:,31) = 1.60142;
CONSTANTS(:,32) = 4.03024e-05;
CONSTANTS(:,33) = 3.61714e-08;
CONSTANTS(:,34) = 1.00248e-05;
CONSTANTS(:,35) = 5.26836e-05;
CONSTANTS(:,36) = 0.0157529;
CONSTANTS(:,37) = 2.40711;
CONSTANTS(:,38) = 4.49332;
CONSTANTS(:,39) = 9.10781;
CONSTANTS(:,40) = 5.19946;
CONSTANTS(:,41) = 0.0606843;
CONSTANTS(:,42) = 0.0945821;
CONSTANTS(:,43) = 1.73264;
CONSTANTS(:,44) = 1.22059;
CONSTANTS(:,45) = 0.0157529;
CONSTANTS(:,46) = 0.0197325;
CONSTANTS(:,47) = 35.2834;
CONSTANTS(:,48) = 0.274979;
CONSTANTS(:,49) = 1.66559e-05;
CONSTANTS(:,50) = 0.014522;
CONSTANTS(:,51) = 12.0249;
CONSTANTS(:,52) = 9.722e-05;
CONSTANTS(:,53) = 28448.3;
CONSTANTS(:,54) = 1.93985e+11;
CONSTANTS(:,55) = 695517;
CONSTANTS(:,56) = 284.483;
CONSTANTS(:,57) = 0.000727564;
CONSTANTS(:,58) = 234.964;
CONSTANTS(:,59) = 0.193985;
CONSTANTS(:,60) = 0.000301016;
CONSTANTS(:,61) = 490.088;
CONSTANTS(:,62) = 52.2185;
CONSTANTS(:,63) = 10.6947;
CONSTANTS(:,64) = 3.83436e-09;
CONSTANTS(:,65) = 7.65396e-09;
CONSTANTS(:,66) = 0.00642105;
CONSTANTS(:,67) = 8.22611e-09;
CONSTANTS(:,68) = 3.25848e-08;
CONSTANTS(:,69) = 4.17449e-14;
CONSTANTS(:,70) = 147520;
CONSTANTS(:,71) = 0.00120595;
CONSTANTS(:,72) = 56.963;
CONSTANTS(:,73) = 124.828;
CONSTANTS(:,74) = 1.20595e-05;
CONSTANTS(:,75) = 7.21292;
CONSTANTS(:,76) = 0.0897681;
CONSTANTS(:,77) = 5.6963e-07;
CONSTANTS(:,78) = 0.000323902;
CONSTANTS(:,79) = 36.7999;
CONSTANTS(:,80) = 689.431;
CONSTANTS(:,81) = 1583.68;
CONSTANTS(:,82) = 5.71425;
CONSTANTS(:,83) = 80.3667;
CONSTANTS(:,84) = 0.28998;
CONSTANTS(:,85) = 34.4;
CONSTANTS(:,86) = 500;
CONSTANTS(:,87) = 3.5e-4;
CONSTANTS(:,88) = 0.25e-4;
CONSTANTS(:,89) = 1.8e-4;
CONSTANTS(:,90) = 1e1;
CONSTANTS(:,91) = 1e-5;
CONSTANTS(:,92) = 7e-4;
CONSTANTS(:,93) = 0.25e-4;
CONSTANTS(:,94) = 1.8e-4;
CONSTANTS(:,95) = 1e1;
CONSTANTS(:,96) = 1e-5;
STATES(:,1) = 190;
STATES(:,2) = 1.889E-03;
STATES(:,3) = 3.212E-02;
STATES(:,4) = 1e-18;
STATES(:,5) = 3.8e-5;
STATES(:,6) = 1e-18;
STATES(:,7) = 1e-18;
STATES(:,8) = 0.01;
STATES(:,9) = 1e-18;
STATES(:,10) = 1e-18;
STATES(:,11) = 1.482E-03;
STATES(:,12) = 1e-18;
STATES(:,13) = 1e-18;
STATES(:,14) = 3.80E-06;
STATES(:,15) = 1e-18;
STATES(:,16) = 4.81E-04;
STATES(:,17) = 1e-18;
STATES(:,18) = 1e-18;
STATES(:,19) = 0.0004579000e0;
STATES(:,20) = 1e-18;
STATES(:,21) = 0;
STATES(:,22) = 1e-18;
STATES(:,23) = 0.1455400000;
STATES(:,24) = 1e-18;
STATES(:,25) = 1e-18;
STATES(:,26) = 1e-18;
STATES(:,27) = 0.02;
STATES(:,28) = 0.01;
STATES(:,29) = 2.2;
STATES(:,30) = 1.1;
STATES(:,31) = 570;
STATES(:,32) = 1e-18;
STATES(:,33) = 1e-18;
STATES(:,34) = 1e-18;
STATES(:,35) = 1e-18;
STATES(:,36) = 1e-3;
STATES(:,37) = 0.00072162;
STATES(:,38) = 1e-18;
STATES(:,39) = 0;
STATES(:,40) = 1e-18;
STATES(:,41) = 0.00836;
STATES(:,42) = 1e-18;
STATES(:,43) = 1e-18;
STATES(:,44) = 1e-18;
STATES(:,45) = 1e-18;
STATES(:,46) = 1e-18;
STATES(:,47) = 1e-18;
STATES(:,48) = 1e-18;
STATES(:,49) = 1e-18;
STATES(:,50) = 1e-18;
CONSTANTS(:,97) = 8.31;
CONSTANTS(:,98) = 310;
CONSTANTS(:,99) = 96485;
CONSTANTS(:,100) = CONSTANTS(:,90)./CONSTANTS(:,89);
CONSTANTS(:,101) = CONSTANTS(:,95)./CONSTANTS(:,94);
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(:,9) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,35).*STATES(:,1));
ALGEBRAIC(:,11) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,37).*STATES(:,2));
ALGEBRAIC(:,12) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,38).*STATES(:,4));
ALGEBRAIC(:,27) = CONSTANTS(:,1).*(exp((ALGEBRAIC(:,11)+ALGEBRAIC(:,9))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,12)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,10) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,36).*STATES(:,3));
ALGEBRAIC(:,26) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,52).*STATES(:,18));
ALGEBRAIC(:,28) = CONSTANTS(:,2).*(exp(ALGEBRAIC(:,12)./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp((ALGEBRAIC(:,11)+ALGEBRAIC(:,10)+ALGEBRAIC(:,26))./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,4) = ALGEBRAIC(:,27) - ALGEBRAIC(:,28);
ALGEBRAIC(:,13) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,39).*STATES(:,9));
ALGEBRAIC(:,14) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,40).*STATES(:,10));
ALGEBRAIC(:,29) = CONSTANTS(:,3).*(exp((ALGEBRAIC(:,13)+ALGEBRAIC(:,9))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,14)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,30) = CONSTANTS(:,4).*(exp(ALGEBRAIC(:,14)./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp((ALGEBRAIC(:,13)+ALGEBRAIC(:,10)+ALGEBRAIC(:,26))./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,10) = ALGEBRAIC(:,29) - ALGEBRAIC(:,30);
ALGEBRAIC(:,15) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,41).*STATES(:,6));
ALGEBRAIC(:,16) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,42).*STATES(:,7));
ALGEBRAIC(:,31) = CONSTANTS(:,5).*(exp((ALGEBRAIC(:,15)+ALGEBRAIC(:,9))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,16)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,1) = ( - ALGEBRAIC(:,27) - ALGEBRAIC(:,31)) - ALGEBRAIC(:,29);
ALGEBRAIC(:,32) = CONSTANTS(:,6).*(exp(ALGEBRAIC(:,16)./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp((ALGEBRAIC(:,15)+ALGEBRAIC(:,10)+ALGEBRAIC(:,26))./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,7) = ALGEBRAIC(:,31) - ALGEBRAIC(:,32);
ALGEBRAIC(:,17) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,43).*STATES(:,11));
ALGEBRAIC(:,18) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,44).*STATES(:,13));
ALGEBRAIC(:,33) = CONSTANTS(:,7).*(exp((ALGEBRAIC(:,17)+ALGEBRAIC(:,10))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,18)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,3) = (ALGEBRAIC(:,28)+ALGEBRAIC(:,32)+ALGEBRAIC(:,30)) - ALGEBRAIC(:,33);
ALGEBRAIC(:,22) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,48).*STATES(:,8));
ALGEBRAIC(:,34) = CONSTANTS(:,10).*(exp((ALGEBRAIC(:,11)+ALGEBRAIC(:,22))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,13)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,9) = (ALGEBRAIC(:,34) - ALGEBRAIC(:,29))+ALGEBRAIC(:,30);
ALGEBRAIC(:,23) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,49).*STATES(:,5));
ALGEBRAIC(:,36) = CONSTANTS(:,11).*(exp((ALGEBRAIC(:,23)+ALGEBRAIC(:,11))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,15)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,5) = - ALGEBRAIC(:,36);
RATES(:,6) = (ALGEBRAIC(:,36)+ALGEBRAIC(:,32)) - ALGEBRAIC(:,31);
ALGEBRAIC(:,19) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,45).*STATES(:,15));
ALGEBRAIC(:,35) = CONSTANTS(:,8).*(exp(ALGEBRAIC(:,18)./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp((ALGEBRAIC(:,17)+ALGEBRAIC(:,19))./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,13) = ALGEBRAIC(:,33) - ALGEBRAIC(:,35);
RATES(:,15) = ALGEBRAIC(:,35);
ALGEBRAIC(:,24) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,50).*STATES(:,16));
ALGEBRAIC(:,25) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,51).*STATES(:,17));
ALGEBRAIC(:,38) = CONSTANTS(:,12).*(exp((ALGEBRAIC(:,11)+ALGEBRAIC(:,24))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,25)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,2) = (((ALGEBRAIC(:,28) - ALGEBRAIC(:,27)) - ALGEBRAIC(:,34)) - ALGEBRAIC(:,36)) - ALGEBRAIC(:,38);
ALGEBRAIC(:,20) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,46).*STATES(:,14));
ALGEBRAIC(:,21) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,47).*STATES(:,12));
ALGEBRAIC(:,37) = CONSTANTS(:,9).*(exp((ALGEBRAIC(:,17)+ALGEBRAIC(:,20))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,21)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,11) = (ALGEBRAIC(:,35) - ALGEBRAIC(:,33)) - ALGEBRAIC(:,37);
RATES(:,14) = - ALGEBRAIC(:,37);
RATES(:,12) = ALGEBRAIC(:,37);
RATES(:,17) = ALGEBRAIC(:,38);
RATES(:,18) = ALGEBRAIC(:,38);
ALGEBRAIC(:,40) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,54).*STATES(:,20));
ALGEBRAIC(:,45) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,59).*STATES(:,25));
ALGEBRAIC(:,59) = CONSTANTS(:,14).*(exp(ALGEBRAIC(:,40)./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,45)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,20) = - ALGEBRAIC(:,59);
% ALGEBRAIC(:,4) = piecewise({VOI<CONSTANTS(:,87)&VOI>CONSTANTS(:,87) - CONSTANTS(:,89), CONSTANTS(:,91)+ CONSTANTS(:,100).*((VOI - CONSTANTS(:,87))+CONSTANTS(:,89)) , VOI>=CONSTANTS(:,87)&VOI<CONSTANTS(:,87)+CONSTANTS(:,88), CONSTANTS(:,90)+CONSTANTS(:,91) , VOI<CONSTANTS(:,87)+CONSTANTS(:,89)+CONSTANTS(:,88)&VOI>=CONSTANTS(:,87)+CONSTANTS(:,88), CONSTANTS(:,91)+ - CONSTANTS(:,100).*(((VOI - CONSTANTS(:,87)) - CONSTANTS(:,89)) - CONSTANTS(:,88)) }, CONSTANTS(:,91));
m = p.stimmag(1)/p.trAMP(1);
if VOI > p.stimstart
j = 10;
end
ALGEBRAIC(:,4) = 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(:,6) = ALGEBRAIC(:,4)+STATES(:,21);
ALGEBRAIC(:,41) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,55).*ALGEBRAIC(:,6));
ALGEBRAIC(:,42) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,56).*STATES(:,22));
ALGEBRAIC(:,62) = CONSTANTS(:,17).*(exp((ALGEBRAIC(:,42)+ALGEBRAIC(:,41))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,45)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,21) = - ALGEBRAIC(:,62);
ALGEBRAIC(:,39) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,53).*STATES(:,19));
ALGEBRAIC(:,58) = CONSTANTS(:,13).*(exp(ALGEBRAIC(:,39)./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,42)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,43) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,57).*STATES(:,23));
ALGEBRAIC(:,44) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,58).*STATES(:,24));
ALGEBRAIC(:,60) = CONSTANTS(:,15).*(exp((ALGEBRAIC(:,42)+ALGEBRAIC(:,43))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,44)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,22) = (ALGEBRAIC(:,58) - ALGEBRAIC(:,60)) - ALGEBRAIC(:,62);
ALGEBRAIC(:,47) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,48).*STATES(:,8));
ALGEBRAIC(:,48) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,61).*STATES(:,27));
ALGEBRAIC(:,50) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,63).*STATES(:,29));
ALGEBRAIC(:,51) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,64).*STATES(:,30));
ALGEBRAIC(:,53) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,66).*STATES(:,32));
ALGEBRAIC(:,63) = CONSTANTS(:,18).*(exp((ALGEBRAIC(:,44)+ALGEBRAIC(:,50))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp((ALGEBRAIC(:,47)+ALGEBRAIC(:,48)+ALGEBRAIC(:,53)+ALGEBRAIC(:,51))./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,24) = ALGEBRAIC(:,60) - ALGEBRAIC(:,63);
ALGEBRAIC(:,46) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,60).*STATES(:,26));
ALGEBRAIC(:,61) = CONSTANTS(:,16).*(exp((ALGEBRAIC(:,45)+ALGEBRAIC(:,43))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,46)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,25) = (ALGEBRAIC(:,59) - ALGEBRAIC(:,61))+ALGEBRAIC(:,62);
ALGEBRAIC(:,65) = ALGEBRAIC(:,58)+ALGEBRAIC(:,62);
RATES(:,19) = - ALGEBRAIC(:,58)+ 0.000000.*ALGEBRAIC(:,65);
ALGEBRAIC(:,54) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,67).*STATES(:,33));
ALGEBRAIC(:,64) = CONSTANTS(:,19).*(exp((ALGEBRAIC(:,46)+ALGEBRAIC(:,50))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp((ALGEBRAIC(:,47)+ALGEBRAIC(:,48)+ALGEBRAIC(:,54)+ALGEBRAIC(:,51))./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,26) = ALGEBRAIC(:,61) - ALGEBRAIC(:,64);
ALGEBRAIC(:,49) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,62).*STATES(:,28));
ALGEBRAIC(:,52) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,65).*STATES(:,31));
ALGEBRAIC(:,66) = CONSTANTS(:,20).*(exp(ALGEBRAIC(:,47)./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp((ALGEBRAIC(:,49)+ALGEBRAIC(:,52))./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,8) = ( - ALGEBRAIC(:,34)+ALGEBRAIC(:,63)+ALGEBRAIC(:,64)) - ALGEBRAIC(:,66);
ALGEBRAIC(:,67) = CONSTANTS(:,21).*(exp((ALGEBRAIC(:,49)+ALGEBRAIC(:,48))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,43)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,23) = ( - ALGEBRAIC(:,60) - ALGEBRAIC(:,61))+ALGEBRAIC(:,67);
RATES(:,27) = (ALGEBRAIC(:,63)+ALGEBRAIC(:,64)) - ALGEBRAIC(:,67);
RATES(:,28) = ALGEBRAIC(:,66) - ALGEBRAIC(:,67);
ALGEBRAIC(:,55) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,68).*STATES(:,34));
ALGEBRAIC(:,57) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,70).*STATES(:,36));
ALGEBRAIC(:,68) = CONSTANTS(:,22).*(exp((ALGEBRAIC(:,53)+ALGEBRAIC(:,57))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,55)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,32) = ALGEBRAIC(:,63) - ALGEBRAIC(:,68);
RATES(:,34) = ALGEBRAIC(:,68);
ALGEBRAIC(:,56) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,69).*STATES(:,35));
ALGEBRAIC(:,69) = CONSTANTS(:,23).*(exp((ALGEBRAIC(:,54)+ALGEBRAIC(:,57))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,56)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,33) = ALGEBRAIC(:,64) - ALGEBRAIC(:,69);
RATES(:,35) = ALGEBRAIC(:,69);
ALGEBRAIC(:,71) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,72).*STATES(:,38));
ALGEBRAIC(:,76) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,77).*STATES(:,43));
ALGEBRAIC(:,90) = CONSTANTS(:,25).*(exp(ALGEBRAIC(:,71)./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,76)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,38) = - ALGEBRAIC(:,90);
ALGEBRAIC(:,70) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,71).*STATES(:,37));
ALGEBRAIC(:,73) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,74).*STATES(:,40));
ALGEBRAIC(:,89) = CONSTANTS(:,24).*(exp(ALGEBRAIC(:,70)./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,73)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
% ALGEBRAIC(:,5) = piecewise({VOI<CONSTANTS(:,92)&VOI>CONSTANTS(:,92) - CONSTANTS(:,94), CONSTANTS(:,96)+ CONSTANTS(:,101).*((VOI - CONSTANTS(:,92))+CONSTANTS(:,94)) , VOI>=CONSTANTS(:,92)&VOI<CONSTANTS(:,92)+CONSTANTS(:,93), CONSTANTS(:,95)+CONSTANTS(:,96) , VOI<CONSTANTS(:,92)+CONSTANTS(:,94)+CONSTANTS(:,93)&VOI>=CONSTANTS(:,92)+CONSTANTS(:,93), CONSTANTS(:,96)+ - CONSTANTS(:,101).*(((VOI - CONSTANTS(:,92)) - CONSTANTS(:,94)) - CONSTANTS(:,93)) }, CONSTANTS(:,96));
m = p.stimmag(2)/p.trAMP(2);
ALGEBRAIC(:,5) = 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(:,8) = ALGEBRAIC(:,5)+STATES(:,39);
ALGEBRAIC(:,72) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,73).*ALGEBRAIC(:,8));
ALGEBRAIC(:,93) = CONSTANTS(:,28).*(exp((ALGEBRAIC(:,70)+ALGEBRAIC(:,72))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,71)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,37) = - ALGEBRAIC(:,89) - ALGEBRAIC(:,93);
RATES(:,39) = - ALGEBRAIC(:,93);
ALGEBRAIC(:,74) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,75).*STATES(:,41));
ALGEBRAIC(:,75) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,76).*STATES(:,42));
ALGEBRAIC(:,91) = CONSTANTS(:,26).*(exp((ALGEBRAIC(:,73)+ALGEBRAIC(:,74))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,75)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,78) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,50).*STATES(:,16));
ALGEBRAIC(:,79) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,79).*STATES(:,45));
ALGEBRAIC(:,81) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,63).*STATES(:,29));
ALGEBRAIC(:,82) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,64).*STATES(:,30));
ALGEBRAIC(:,84) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,81).*STATES(:,47));
ALGEBRAIC(:,94) = CONSTANTS(:,29).*(exp((ALGEBRAIC(:,75)+ALGEBRAIC(:,81))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp((ALGEBRAIC(:,78)+ALGEBRAIC(:,79)+ALGEBRAIC(:,84)+ALGEBRAIC(:,82))./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,42) = ALGEBRAIC(:,91) - ALGEBRAIC(:,94);
ALGEBRAIC(:,77) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,78).*STATES(:,44));
ALGEBRAIC(:,92) = CONSTANTS(:,27).*(exp((ALGEBRAIC(:,76)+ALGEBRAIC(:,74))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,77)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,43) = (ALGEBRAIC(:,90) - ALGEBRAIC(:,92))+ALGEBRAIC(:,93);
ALGEBRAIC(:,85) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,82).*STATES(:,48));
ALGEBRAIC(:,95) = CONSTANTS(:,30).*(exp((ALGEBRAIC(:,77)+ALGEBRAIC(:,81))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp((ALGEBRAIC(:,78)+ALGEBRAIC(:,79)+ALGEBRAIC(:,85)+ALGEBRAIC(:,82))./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,29) = (( - ALGEBRAIC(:,63) - ALGEBRAIC(:,64)) - ALGEBRAIC(:,94)) - ALGEBRAIC(:,95);
RATES(:,30) = ALGEBRAIC(:,63)+ALGEBRAIC(:,64)+ALGEBRAIC(:,94)+ALGEBRAIC(:,95);
ALGEBRAIC(:,96) = (ALGEBRAIC(:,91))+ALGEBRAIC(:,93);
RATES(:,40) = (ALGEBRAIC(:,89) - ALGEBRAIC(:,91))+ 1.00000.*ALGEBRAIC(:,96);
RATES(:,44) = ALGEBRAIC(:,92) - ALGEBRAIC(:,95);
ALGEBRAIC(:,80) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,80).*STATES(:,46));
ALGEBRAIC(:,83) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,65).*STATES(:,31));
ALGEBRAIC(:,97) = CONSTANTS(:,31).*(exp(ALGEBRAIC(:,78)./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp((ALGEBRAIC(:,80)+ALGEBRAIC(:,83))./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,16) = ( - ALGEBRAIC(:,38)+ALGEBRAIC(:,94)+ALGEBRAIC(:,95)) - ALGEBRAIC(:,97);
RATES(:,31) = ALGEBRAIC(:,66)+ALGEBRAIC(:,97);
ALGEBRAIC(:,86) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,83).*STATES(:,49));
ALGEBRAIC(:,88) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,70).*STATES(:,36));
ALGEBRAIC(:,98) = CONSTANTS(:,33).*(exp((ALGEBRAIC(:,84)+ALGEBRAIC(:,88))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,86)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,47) = ALGEBRAIC(:,94) - ALGEBRAIC(:,98);
RATES(:,49) = ALGEBRAIC(:,98);
ALGEBRAIC(:,87) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,84).*STATES(:,50));
ALGEBRAIC(:,100) = CONSTANTS(:,34).*(exp((ALGEBRAIC(:,85)+ALGEBRAIC(:,88))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,87)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,36) = (( - ALGEBRAIC(:,68) - ALGEBRAIC(:,69)) - ALGEBRAIC(:,98)) - ALGEBRAIC(:,100);
ALGEBRAIC(:,99) = CONSTANTS(:,32).*(exp((ALGEBRAIC(:,80)+ALGEBRAIC(:,79))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,74)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
RATES(:,41) = ( - ALGEBRAIC(:,91) - ALGEBRAIC(:,92))+ALGEBRAIC(:,99);
RATES(:,45) = (ALGEBRAIC(:,94)+ALGEBRAIC(:,95)) - ALGEBRAIC(:,99);
RATES(:,46) = ALGEBRAIC(:,97) - ALGEBRAIC(:,99);
RATES(:,48) = ALGEBRAIC(:,95) - ALGEBRAIC(:,100);
RATES(:,50) = ALGEBRAIC(:,100);
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(:,9) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,35).*STATES(:,1));
ALGEBRAIC(:,11) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,37).*STATES(:,2));
ALGEBRAIC(:,12) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,38).*STATES(:,4));
ALGEBRAIC(:,27) = CONSTANTS(:,1).*(exp((ALGEBRAIC(:,11)+ALGEBRAIC(:,9))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,12)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,10) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,36).*STATES(:,3));
ALGEBRAIC(:,26) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,52).*STATES(:,18));
ALGEBRAIC(:,28) = CONSTANTS(:,2).*(exp(ALGEBRAIC(:,12)./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp((ALGEBRAIC(:,11)+ALGEBRAIC(:,10)+ALGEBRAIC(:,26))./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,13) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,39).*STATES(:,9));
ALGEBRAIC(:,14) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,40).*STATES(:,10));
ALGEBRAIC(:,29) = CONSTANTS(:,3).*(exp((ALGEBRAIC(:,13)+ALGEBRAIC(:,9))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,14)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,30) = CONSTANTS(:,4).*(exp(ALGEBRAIC(:,14)./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp((ALGEBRAIC(:,13)+ALGEBRAIC(:,10)+ALGEBRAIC(:,26))./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,15) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,41).*STATES(:,6));
ALGEBRAIC(:,16) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,42).*STATES(:,7));
ALGEBRAIC(:,31) = CONSTANTS(:,5).*(exp((ALGEBRAIC(:,15)+ALGEBRAIC(:,9))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,16)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,32) = CONSTANTS(:,6).*(exp(ALGEBRAIC(:,16)./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp((ALGEBRAIC(:,15)+ALGEBRAIC(:,10)+ALGEBRAIC(:,26))./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,17) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,43).*STATES(:,11));
ALGEBRAIC(:,18) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,44).*STATES(:,13));
ALGEBRAIC(:,33) = CONSTANTS(:,7).*(exp((ALGEBRAIC(:,17)+ALGEBRAIC(:,10))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,18)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,22) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,48).*STATES(:,8));
ALGEBRAIC(:,34) = CONSTANTS(:,10).*(exp((ALGEBRAIC(:,11)+ALGEBRAIC(:,22))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,13)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,23) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,49).*STATES(:,5));
ALGEBRAIC(:,36) = CONSTANTS(:,11).*(exp((ALGEBRAIC(:,23)+ALGEBRAIC(:,11))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,15)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,19) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,45).*STATES(:,15));
ALGEBRAIC(:,35) = CONSTANTS(:,8).*(exp(ALGEBRAIC(:,18)./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp((ALGEBRAIC(:,17)+ALGEBRAIC(:,19))./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,24) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,50).*STATES(:,16));
ALGEBRAIC(:,25) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,51).*STATES(:,17));
ALGEBRAIC(:,38) = CONSTANTS(:,12).*(exp((ALGEBRAIC(:,11)+ALGEBRAIC(:,24))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,25)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,20) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,46).*STATES(:,14));
ALGEBRAIC(:,21) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,47).*STATES(:,12));
ALGEBRAIC(:,37) = CONSTANTS(:,9).*(exp((ALGEBRAIC(:,17)+ALGEBRAIC(:,20))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,21)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,40) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,54).*STATES(:,20));
ALGEBRAIC(:,45) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,59).*STATES(:,25));
ALGEBRAIC(:,59) = CONSTANTS(:,14).*(exp(ALGEBRAIC(:,40)./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,45)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
% ALGEBRAIC(:,4) = piecewise({VOI<CONSTANTS(:,87)&VOI>CONSTANTS(:,87) - CONSTANTS(:,89), CONSTANTS(:,91)+ CONSTANTS(:,100).*((VOI - CONSTANTS(:,87))+CONSTANTS(:,89)) , VOI>=CONSTANTS(:,87)&VOI<CONSTANTS(:,87)+CONSTANTS(:,88), CONSTANTS(:,90)+CONSTANTS(:,91) , VOI<CONSTANTS(:,87)+CONSTANTS(:,89)+CONSTANTS(:,88)&VOI>=CONSTANTS(:,87)+CONSTANTS(:,88), CONSTANTS(:,91)+ - CONSTANTS(:,100).*(((VOI - CONSTANTS(:,87)) - CONSTANTS(:,89)) - CONSTANTS(:,88)) }, CONSTANTS(:,91));
m = p.stimmag(1)/p.trAMP(1);
ALGEBRAIC(:,4) = 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(:,6) = ALGEBRAIC(:,4)+STATES(:,21);
ALGEBRAIC(:,41) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,55).*ALGEBRAIC(:,6));
ALGEBRAIC(:,42) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,56).*STATES(:,22));
ALGEBRAIC(:,62) = CONSTANTS(:,17).*(exp((ALGEBRAIC(:,42)+ALGEBRAIC(:,41))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,45)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,39) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,53).*STATES(:,19));
ALGEBRAIC(:,58) = CONSTANTS(:,13).*(exp(ALGEBRAIC(:,39)./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,42)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,43) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,57).*STATES(:,23));
ALGEBRAIC(:,44) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,58).*STATES(:,24));
ALGEBRAIC(:,60) = CONSTANTS(:,15).*(exp((ALGEBRAIC(:,42)+ALGEBRAIC(:,43))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,44)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,47) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,48).*STATES(:,8));
ALGEBRAIC(:,48) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,61).*STATES(:,27));
ALGEBRAIC(:,50) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,63).*STATES(:,29));
ALGEBRAIC(:,51) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,64).*STATES(:,30));
ALGEBRAIC(:,53) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,66).*STATES(:,32));
ALGEBRAIC(:,63) = CONSTANTS(:,18).*(exp((ALGEBRAIC(:,44)+ALGEBRAIC(:,50))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp((ALGEBRAIC(:,47)+ALGEBRAIC(:,48)+ALGEBRAIC(:,53)+ALGEBRAIC(:,51))./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,46) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,60).*STATES(:,26));
ALGEBRAIC(:,61) = CONSTANTS(:,16).*(exp((ALGEBRAIC(:,45)+ALGEBRAIC(:,43))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,46)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,65) = ALGEBRAIC(:,58)+ALGEBRAIC(:,62);
ALGEBRAIC(:,54) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,67).*STATES(:,33));
ALGEBRAIC(:,64) = CONSTANTS(:,19).*(exp((ALGEBRAIC(:,46)+ALGEBRAIC(:,50))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp((ALGEBRAIC(:,47)+ALGEBRAIC(:,48)+ALGEBRAIC(:,54)+ALGEBRAIC(:,51))./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,49) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,62).*STATES(:,28));
ALGEBRAIC(:,52) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,65).*STATES(:,31));
ALGEBRAIC(:,66) = CONSTANTS(:,20).*(exp(ALGEBRAIC(:,47)./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp((ALGEBRAIC(:,49)+ALGEBRAIC(:,52))./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,67) = CONSTANTS(:,21).*(exp((ALGEBRAIC(:,49)+ALGEBRAIC(:,48))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,43)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,55) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,68).*STATES(:,34));
ALGEBRAIC(:,57) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,70).*STATES(:,36));
ALGEBRAIC(:,68) = CONSTANTS(:,22).*(exp((ALGEBRAIC(:,53)+ALGEBRAIC(:,57))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,55)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,56) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,69).*STATES(:,35));
ALGEBRAIC(:,69) = CONSTANTS(:,23).*(exp((ALGEBRAIC(:,54)+ALGEBRAIC(:,57))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,56)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,71) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,72).*STATES(:,38));
ALGEBRAIC(:,76) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,77).*STATES(:,43));
ALGEBRAIC(:,90) = CONSTANTS(:,25).*(exp(ALGEBRAIC(:,71)./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,76)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,70) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,71).*STATES(:,37));
ALGEBRAIC(:,73) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,74).*STATES(:,40));
ALGEBRAIC(:,89) = CONSTANTS(:,24).*(exp(ALGEBRAIC(:,70)./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,73)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
% ALGEBRAIC(:,5) = piecewise({VOI<CONSTANTS(:,92)&VOI>CONSTANTS(:,92) - CONSTANTS(:,94), CONSTANTS(:,96)+ CONSTANTS(:,101).*((VOI - CONSTANTS(:,92))+CONSTANTS(:,94)) , VOI>=CONSTANTS(:,92)&VOI<CONSTANTS(:,92)+CONSTANTS(:,93), CONSTANTS(:,95)+CONSTANTS(:,96) , VOI<CONSTANTS(:,92)+CONSTANTS(:,94)+CONSTANTS(:,93)&VOI>=CONSTANTS(:,92)+CONSTANTS(:,93), CONSTANTS(:,96)+ - CONSTANTS(:,101).*(((VOI - CONSTANTS(:,92)) - CONSTANTS(:,94)) - CONSTANTS(:,93)) }, CONSTANTS(:,96));
m = p.stimmag(2)/p.trAMP(2);
ALGEBRAIC(:,5) = 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(:,8) = ALGEBRAIC(:,5)+STATES(:,39);
ALGEBRAIC(:,72) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,73).*ALGEBRAIC(:,8));
ALGEBRAIC(:,93) = CONSTANTS(:,28).*(exp((ALGEBRAIC(:,70)+ALGEBRAIC(:,72))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,71)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,74) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,75).*STATES(:,41));
ALGEBRAIC(:,75) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,76).*STATES(:,42));
ALGEBRAIC(:,91) = CONSTANTS(:,26).*(exp((ALGEBRAIC(:,73)+ALGEBRAIC(:,74))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,75)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,78) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,50).*STATES(:,16));
ALGEBRAIC(:,79) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,79).*STATES(:,45));
ALGEBRAIC(:,81) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,63).*STATES(:,29));
ALGEBRAIC(:,82) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,64).*STATES(:,30));
ALGEBRAIC(:,84) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,81).*STATES(:,47));
ALGEBRAIC(:,94) = CONSTANTS(:,29).*(exp((ALGEBRAIC(:,75)+ALGEBRAIC(:,81))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp((ALGEBRAIC(:,78)+ALGEBRAIC(:,79)+ALGEBRAIC(:,84)+ALGEBRAIC(:,82))./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,77) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,78).*STATES(:,44));
ALGEBRAIC(:,92) = CONSTANTS(:,27).*(exp((ALGEBRAIC(:,76)+ALGEBRAIC(:,74))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,77)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,85) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,82).*STATES(:,48));
ALGEBRAIC(:,95) = CONSTANTS(:,30).*(exp((ALGEBRAIC(:,77)+ALGEBRAIC(:,81))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp((ALGEBRAIC(:,78)+ALGEBRAIC(:,79)+ALGEBRAIC(:,85)+ALGEBRAIC(:,82))./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,96) = (ALGEBRAIC(:,91))+ALGEBRAIC(:,93);
ALGEBRAIC(:,80) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,80).*STATES(:,46));
ALGEBRAIC(:,83) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,65).*STATES(:,31));
ALGEBRAIC(:,97) = CONSTANTS(:,31).*(exp(ALGEBRAIC(:,78)./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp((ALGEBRAIC(:,80)+ALGEBRAIC(:,83))./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,86) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,83).*STATES(:,49));
ALGEBRAIC(:,88) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,70).*STATES(:,36));
ALGEBRAIC(:,98) = CONSTANTS(:,33).*(exp((ALGEBRAIC(:,84)+ALGEBRAIC(:,88))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,86)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,87) = CONSTANTS(:,97).*CONSTANTS(:,98).*log( CONSTANTS(:,84).*STATES(:,50));
ALGEBRAIC(:,100) = CONSTANTS(:,34).*(exp((ALGEBRAIC(:,85)+ALGEBRAIC(:,88))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,87)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,99) = CONSTANTS(:,32).*(exp((ALGEBRAIC(:,80)+ALGEBRAIC(:,79))./( CONSTANTS(:,97).*CONSTANTS(:,98))) - exp(ALGEBRAIC(:,74)./( CONSTANTS(:,97).*CONSTANTS(:,98))));
ALGEBRAIC(:,1) = STATES(:,19)+STATES(:,20)+STATES(:,22)+STATES(:,24)+STATES(:,25)+STATES(:,26)+STATES(:,32)+STATES(:,33)+STATES(:,34)+STATES(:,35);
ALGEBRAIC(:,2) = STATES(:,23)+STATES(:,24)+STATES(:,26)+STATES(:,8)+STATES(:,28);
ALGEBRAIC(:,3) = STATES(:,3)+STATES(:,13)+STATES(:,15)+STATES(:,1)+STATES(:,4)+STATES(:,10)+STATES(:,7);
ALGEBRAIC(:,7) = STATES(:,20)+ALGEBRAIC(:,6)+STATES(:,26)+STATES(:,25)+STATES(:,33)+STATES(:,35);
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 = 160;
insize = size(strin,2);
if insize > req_length
strout = strin(1:req_length);
else
strout = [strin, blanks(req_length - insize)];
end
end
