- Author:
- Shelley Fong <s.fong@auckland.ac.nz>
- Date:
- 2021-12-03 16:03:30+13:00
- Desc:
- Update name of switch reactions
- Permanent Source URI:
- https://staging.physiomeproject.org/workspace/7dc/rawfile/eda1c63b2a4c3f1fdca84267674736ae07d89389/BG_GPCR_B1AR_reduced.m
tic;
[VOI, STATES, ALGEBRAIC, CONSTANTS] = mainFunction();
toc;
function [VOI, STATES, ALGEBRAIC, CONSTANTS] = mainFunction()
% This is the "main function". In Matlab, things work best if you rename this function to match the filename.
[VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel();
end
function [algebraicVariableCount] = getAlgebraicVariableCount()
% Used later when setting a global variable with the number of algebraic variables.
% Note: This is not the "main method".
algebraicVariableCount =54;
end
% There are a total of 19 entries in each of the rate and state variable arrays.
% There are a total of 58 entries in the constant variable array.
%
function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel()
[LEGEND_STATES, LEGEND_ALGEBRAIC, legend_VOI, LEGEND_CONSTANTS] = createLegends();
% Create ALGEBRAIC of correct size
global algebraicVariableCount; algebraicVariableCount = getAlgebraicVariableCount();
% Set timespan to solve over
tspan = [0, 100];
% Set numerical accuracy options for ODE solver
options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1e-3);
% extra options for stimuli [ L_B1 ] and other settings
st = struct;
st.stimHolding = 1e-9;
st.stimMag = 1e1;
st.stimSt = 5e1;
st.tR = 1e1; % seconds for rAMP start
st.stimDur = 1e1;
st.m = st.stimMag/st.tR;
st.qR_init = 0.04579000;
st.qGs_init = 1.45;
p = [st.stimHolding, st.stimMag, st.stimSt, st.tR, st.stimDur, st.m];%,st.qR_init, st.qGs_init];
stlabels = {'stimHolding in component environment (fmol)',...
'stimMag in component environment (fmol)',...
'stimSt in component environment (second)',...
'tR in component environment (second)',...
'stimDur in component environment (second)',...
'm in component environment (fmol_per_sec)'};
% 'q_RB1_inactive_init in component environment (fmol)',...
% 'q_Gs_init in component environment (fmol)'};
[i_stp, ~,~] = find_indices(stlabels, cellstr(LEGEND_CONSTANTS), cellstr(LEGEND_STATES), cellstr(LEGEND_ALGEBRAIC));
% Initialise constants and state variables
[INIT_STATES, CONSTANTS] = initConsts(p,i_stp);
% Solve model with ODE solver
[VOI, STATES] = ode15s(@(VOI, STATES)computeRates(VOI, STATES, CONSTANTS), tspan, INIT_STATES, options);
% Compute algebraic variables
[RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS);
ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI);
labels = {'q_LB1 in component environment (fmol)', ...
'q_RB1_inactive in component environment (fmol)'...
'q_RB1 in component environment (fmol)'...
'q_L_RB1_inactive in component environment (fmol)', ...
'q_L_RB1 in component environment (fmol)', ...
'q_L_RB1_Gs in component environment (fmol)', ...
'q_RB1_Gs in component environment (fmol)', ...
'q_Gsa_GTP in component environment (fmol)'};
[~, i_st, i_alg] = find_indices(labels, cellstr(LEGEND_CONSTANTS), cellstr(LEGEND_STATES), cellstr(LEGEND_ALGEBRAIC));
if i_st
plot_selected(i_st,VOI,STATES,legend_VOI,LEGEND_STATES,'STATES',ceil(sqrt(length(i_st))))
end
plot_selected(i_alg,VOI,ALGEBRAIC,legend_VOI,LEGEND_ALGEBRAIC,'ALGEBRAIC',ceil(sqrt(length(i_alg))))
% velocities
vlabels = {'v_C_B1 in component GPCR_B1AR_reduced (fmol_per_sec)',...
'v_R_B1 in component GPCR_B1AR_reduced (fmol_per_sec)',...
'v_L_B1 in component GPCR_B1AR_reduced (fmol_per_sec)',...
'v_Act1_Gs in component GPCR_B1AR_reduced (fmol_per_sec)',...
'v_Act2_Gs in component GPCR_B1AR_reduced (fmol_per_sec)',...
'v_Hyd_Gs in component GPCR_B1AR_reduced (fmol_per_sec)',...
'v_Reassoc_Gs in component GPCR_B1AR_reduced (fmol_per_sec)',...
'v_InternR_B1 in component GPCR_B1AR_reduced (fmol_per_sec)',...
'v_InternLR_B1 in component GPCR_B1AR_reduced (fmol_per_sec)'};
[~, ~, i_alg] = find_indices(vlabels, cellstr(LEGEND_CONSTANTS), cellstr(LEGEND_STATES), cellstr(LEGEND_ALGEBRAIC));
plot_selected(i_alg,VOI,ALGEBRAIC,legend_VOI,LEGEND_ALGEBRAIC,'REACTION FLUXES',ceil(sqrt(length(i_alg))))
% debug nonincreasing effect of L stim
if true
labels = {'mu_L_RB1 in component GPCR_B1AR_reduced (J_per_mol)',...
'mu_Gs in component GPCR_B1AR_reduced (J_per_mol)',...
'mu_L_RB1_Gs in component GPCR_B1AR_reduced (J_per_mol)',...
'v_R_B1 in component GPCR_B1AR_reduced (fmol_per_sec)'};
[~, 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,'STATES',ceil(sqrt(length(i_st))))
plot_selected(i_alg,VOI,ALGEBRAIC,legend_VOI,LEGEND_ALGEBRAIC,'v_R',ceil(sqrt(length(i_alg))))
end
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 [] = 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 [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends()
LEGEND_STATES = ''; LEGEND_ALGEBRAIC = ''; LEGEND_VOI = ''; LEGEND_CONSTANTS = '';
LEGEND_VOI = strpad('time in component environment (second)');
LEGEND_CONSTANTS(:,1) = strpad('q_RB1_inactive_init in component environment (fmol)');
LEGEND_CONSTANTS(:,2) = strpad('q_L_RB1_inactive_init in component environment (fmol)');
LEGEND_ALGEBRAIC(:,1) = strpad('q_LB1_init in component environment (fmol)');
LEGEND_CONSTANTS(:,3) = strpad('q_RB1_init in component environment (fmol)');
LEGEND_CONSTANTS(:,4) = strpad('q_Gs_init in component environment (fmol)');
LEGEND_CONSTANTS(:,5) = strpad('q_RB1_Gs_init in component environment (fmol)');
LEGEND_CONSTANTS(:,6) = strpad('q_L_RB1_init in component environment (fmol)');
LEGEND_CONSTANTS(:,7) = strpad('q_L_RB1_Gs_init in component environment (fmol)');
LEGEND_CONSTANTS(:,8) = strpad('q_Gsa_GTP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,9) = strpad('q_Gsbetagamma_init in component environment (fmol)');
LEGEND_CONSTANTS(:,10) = strpad('q_Gsa_GDP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,11) = strpad('q_GTP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,12) = strpad('q_GDP_init in component environment (fmol)');
LEGEND_CONSTANTS(:,13) = strpad('q_Pi_init in component environment (fmol)');
LEGEND_CONSTANTS(:,14) = strpad('q_RB1_tag_init in component environment (fmol)');
LEGEND_CONSTANTS(:,15) = strpad('q_L_RB1_tag_init in component environment (fmol)');
LEGEND_CONSTANTS(:,16) = strpad('q_RB1_GRKArr_init in component environment (fmol)');
LEGEND_CONSTANTS(:,17) = strpad('q_L_RB1_GRKArr_init in component environment (fmol)');
LEGEND_CONSTANTS(:,18) = strpad('q_GRKArr_init in component environment (fmol)');
LEGEND_CONSTANTS(:,19) = strpad('stimSt in component environment (second)');
LEGEND_CONSTANTS(:,20) = strpad('stimDur in component environment (second)');
LEGEND_CONSTANTS(:,21) = strpad('tR in component environment (second)');
LEGEND_CONSTANTS(:,22) = strpad('stimMag in component environment (fmol)');
LEGEND_CONSTANTS(:,23) = strpad('stimHolding in component environment (fmol)');
LEGEND_CONSTANTS(:,57) = strpad('m in component environment (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,2) = strpad('q_RB1_inactive in component environment (fmol)');
LEGEND_ALGEBRAIC(:,3) = strpad('q_L_RB1_inactive in component environment (fmol)');
LEGEND_ALGEBRAIC(:,4) = strpad('q_LB1 in component environment (fmol)');
LEGEND_ALGEBRAIC(:,5) = strpad('q_RB1 in component environment (fmol)');
LEGEND_ALGEBRAIC(:,6) = strpad('q_Gs in component environment (fmol)');
LEGEND_ALGEBRAIC(:,7) = strpad('q_RB1_Gs in component environment (fmol)');
LEGEND_ALGEBRAIC(:,8) = strpad('q_L_RB1 in component environment (fmol)');
LEGEND_ALGEBRAIC(:,9) = strpad('q_L_RB1_Gs in component environment (fmol)');
LEGEND_ALGEBRAIC(:,10) = strpad('q_Gsa_GTP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,11) = strpad('q_Gsbetagamma in component environment (fmol)');
LEGEND_ALGEBRAIC(:,12) = strpad('q_Gsa_GDP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,14) = strpad('q_GTP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,15) = strpad('q_GDP in component environment (fmol)');
LEGEND_ALGEBRAIC(:,16) = strpad('q_Pi in component environment (fmol)');
LEGEND_ALGEBRAIC(:,17) = strpad('q_RB1_tag in component environment (fmol)');
LEGEND_ALGEBRAIC(:,18) = strpad('q_L_RB1_tag in component environment (fmol)');
LEGEND_ALGEBRAIC(:,19) = strpad('q_RB1_GRKArr in component environment (fmol)');
LEGEND_ALGEBRAIC(:,20) = strpad('q_L_RB1_GRKArr in component environment (fmol)');
LEGEND_ALGEBRAIC(:,23) = strpad('q_GRKArr in component environment (fmol)');
LEGEND_STATES(:,1) = strpad('q_RB1_inactive in component GPCR_B1AR_reduced (fmol)');
LEGEND_STATES(:,2) = strpad('q_L_RB1_inactive in component GPCR_B1AR_reduced (fmol)');
LEGEND_STATES(:,3) = strpad('q_LB1 in component GPCR_B1AR_reduced (fmol)');
LEGEND_STATES(:,4) = strpad('q_RB1 in component GPCR_B1AR_reduced (fmol)');
LEGEND_STATES(:,5) = strpad('q_Gs in component GPCR_B1AR_reduced (fmol)');
LEGEND_STATES(:,6) = strpad('q_RB1_Gs in component GPCR_B1AR_reduced (fmol)');
LEGEND_STATES(:,7) = strpad('q_L_RB1 in component GPCR_B1AR_reduced (fmol)');
LEGEND_STATES(:,8) = strpad('q_L_RB1_Gs in component GPCR_B1AR_reduced (fmol)');
LEGEND_STATES(:,9) = strpad('q_Gsa_GTP in component GPCR_B1AR_reduced (fmol)');
LEGEND_STATES(:,10) = strpad('q_Gsbetagamma in component GPCR_B1AR_reduced (fmol)');
LEGEND_STATES(:,11) = strpad('q_Gsa_GDP in component GPCR_B1AR_reduced (fmol)');
LEGEND_STATES(:,12) = strpad('q_GTP in component GPCR_B1AR_reduced (fmol)');
LEGEND_STATES(:,13) = strpad('q_GDP in component GPCR_B1AR_reduced (fmol)');
LEGEND_STATES(:,14) = strpad('q_Pi in component GPCR_B1AR_reduced (fmol)');
LEGEND_STATES(:,15) = strpad('q_RB1_tag in component GPCR_B1AR_reduced (fmol)');
LEGEND_STATES(:,16) = strpad('q_L_RB1_tag in component GPCR_B1AR_reduced (fmol)');
LEGEND_STATES(:,17) = strpad('q_RB1_GRKArr in component GPCR_B1AR_reduced (fmol)');
LEGEND_STATES(:,18) = strpad('q_L_RB1_GRKArr in component GPCR_B1AR_reduced (fmol)');
LEGEND_STATES(:,19) = strpad('q_GRKArr in component GPCR_B1AR_reduced (fmol)');
LEGEND_ALGEBRAIC(:,21) = strpad('conserv_R_T in component environment (fmol)');
LEGEND_ALGEBRAIC(:,22) = strpad('conserv_L_T in component environment (fmol)');
LEGEND_ALGEBRAIC(:,13) = strpad('conserv_G_T in component environment (fmol)');
LEGEND_CONSTANTS(:,58) = strpad('total_R_init in component environment (fmol)');
LEGEND_CONSTANTS(:,24) = strpad('kappa_Rswitch in component GPCR_B1AR_reduced_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,25) = strpad('kappa_LRswitch in component GPCR_B1AR_reduced_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,26) = strpad('kappa_C_B1 in component GPCR_B1AR_reduced_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,27) = strpad('kappa_R_B1 in component GPCR_B1AR_reduced_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,28) = strpad('kappa_L_B1 in component GPCR_B1AR_reduced_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,29) = strpad('kappa_Act1_Gs in component GPCR_B1AR_reduced_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,30) = strpad('kappa_Act2_Gs in component GPCR_B1AR_reduced_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,31) = strpad('kappa_Hyd_Gs in component GPCR_B1AR_reduced_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,32) = strpad('kappa_Reassoc_Gs in component GPCR_B1AR_reduced_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,33) = strpad('kappa_InternR_B1 in component GPCR_B1AR_reduced_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,34) = strpad('kappa_InternLR_B1 in component GPCR_B1AR_reduced_parameters (fmol_per_sec)');
LEGEND_CONSTANTS(:,35) = strpad('K_RB1_inactive in component GPCR_B1AR_reduced_parameters (per_fmol)');
LEGEND_CONSTANTS(:,36) = strpad('K_L_RB1_inactive in component GPCR_B1AR_reduced_parameters (per_fmol)');
LEGEND_CONSTANTS(:,37) = strpad('K_LB1 in component GPCR_B1AR_reduced_parameters (per_fmol)');
LEGEND_CONSTANTS(:,38) = strpad('K_RB1 in component GPCR_B1AR_reduced_parameters (per_fmol)');
LEGEND_CONSTANTS(:,39) = strpad('K_Gs in component GPCR_B1AR_reduced_parameters (per_fmol)');
LEGEND_CONSTANTS(:,40) = strpad('K_RB1_Gs in component GPCR_B1AR_reduced_parameters (per_fmol)');
LEGEND_CONSTANTS(:,41) = strpad('K_L_RB1 in component GPCR_B1AR_reduced_parameters (per_fmol)');
LEGEND_CONSTANTS(:,42) = strpad('K_L_RB1_Gs in component GPCR_B1AR_reduced_parameters (per_fmol)');
LEGEND_CONSTANTS(:,43) = strpad('K_Gsa_GTP in component GPCR_B1AR_reduced_parameters (per_fmol)');
LEGEND_CONSTANTS(:,44) = strpad('K_Gsbetagamma in component GPCR_B1AR_reduced_parameters (per_fmol)');
LEGEND_CONSTANTS(:,45) = strpad('K_Gsa_GDP in component GPCR_B1AR_reduced_parameters (per_fmol)');
LEGEND_CONSTANTS(:,46) = strpad('K_GTP in component GPCR_B1AR_reduced_parameters (per_fmol)');
LEGEND_CONSTANTS(:,47) = strpad('K_GDP in component GPCR_B1AR_reduced_parameters (per_fmol)');
LEGEND_CONSTANTS(:,48) = strpad('K_Pi in component GPCR_B1AR_reduced_parameters (per_fmol)');
LEGEND_CONSTANTS(:,49) = strpad('K_RB1_tag in component GPCR_B1AR_reduced_parameters (per_fmol)');
LEGEND_CONSTANTS(:,50) = strpad('K_L_RB1_tag in component GPCR_B1AR_reduced_parameters (per_fmol)');
LEGEND_CONSTANTS(:,51) = strpad('K_RB1_GRKArr in component GPCR_B1AR_reduced_parameters (per_fmol)');
LEGEND_CONSTANTS(:,52) = strpad('K_L_RB1_GRKArr in component GPCR_B1AR_reduced_parameters (per_fmol)');
LEGEND_CONSTANTS(:,53) = strpad('K_GRKArr in component GPCR_B1AR_reduced_parameters (per_fmol)');
LEGEND_CONSTANTS(:,54) = strpad('R in component constants (J_per_K_per_mol)');
LEGEND_CONSTANTS(:,55) = strpad('T in component constants (kelvin)');
LEGEND_ALGEBRAIC(:,24) = strpad('mu_RB1_inactive in component GPCR_B1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,25) = strpad('mu_L_RB1_inactive in component GPCR_B1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,26) = strpad('mu_LB1 in component GPCR_B1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,27) = strpad('mu_RB1 in component GPCR_B1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,28) = strpad('mu_Gs in component GPCR_B1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,29) = strpad('mu_RB1_Gs in component GPCR_B1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,30) = strpad('mu_L_RB1 in component GPCR_B1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,31) = strpad('mu_L_RB1_Gs in component GPCR_B1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,32) = strpad('mu_Gsa_GTP in component GPCR_B1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,33) = strpad('mu_Gsbetagamma in component GPCR_B1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,34) = strpad('mu_Gsa_GDP in component GPCR_B1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,35) = strpad('mu_GTP in component GPCR_B1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,36) = strpad('mu_GDP in component GPCR_B1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,37) = strpad('mu_Pi in component GPCR_B1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,38) = strpad('mu_RB1_tag in component GPCR_B1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,39) = strpad('mu_L_RB1_tag in component GPCR_B1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,40) = strpad('mu_RB1_GRKArr in component GPCR_B1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,41) = strpad('mu_L_RB1_GRKArr in component GPCR_B1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,42) = strpad('mu_GRKArr in component GPCR_B1AR_reduced (J_per_mol)');
LEGEND_ALGEBRAIC(:,43) = strpad('v_Rswitch in component GPCR_B1AR_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,44) = strpad('v_LRswitch in component GPCR_B1AR_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,45) = strpad('v_C_B1 in component GPCR_B1AR_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,47) = strpad('v_R_B1 in component GPCR_B1AR_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,46) = strpad('v_L_B1 in component GPCR_B1AR_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,49) = strpad('v_Act1_Gs in component GPCR_B1AR_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,50) = strpad('v_Act2_Gs in component GPCR_B1AR_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,51) = strpad('v_Hyd_Gs in component GPCR_B1AR_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,53) = strpad('v_Reassoc_Gs in component GPCR_B1AR_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,52) = strpad('v_InternR_B1 in component GPCR_B1AR_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,54) = strpad('v_InternLR_B1 in component GPCR_B1AR_reduced (fmol_per_sec)');
LEGEND_ALGEBRAIC(:,48) = strpad('v_Rsynthesis in component GPCR_B1AR_reduced (fmol_per_sec)');
LEGEND_CONSTANTS(:,56) = strpad('F in component constants (C_per_mol)');
LEGEND_RATES(:,1) = strpad('d/dt q_RB1_inactive in component GPCR_B1AR_reduced (fmol)');
LEGEND_RATES(:,2) = strpad('d/dt q_L_RB1_inactive in component GPCR_B1AR_reduced (fmol)');
LEGEND_RATES(:,3) = strpad('d/dt q_LB1 in component GPCR_B1AR_reduced (fmol)');
LEGEND_RATES(:,4) = strpad('d/dt q_RB1 in component GPCR_B1AR_reduced (fmol)');
LEGEND_RATES(:,5) = strpad('d/dt q_Gs in component GPCR_B1AR_reduced (fmol)');
LEGEND_RATES(:,6) = strpad('d/dt q_RB1_Gs in component GPCR_B1AR_reduced (fmol)');
LEGEND_RATES(:,7) = strpad('d/dt q_L_RB1 in component GPCR_B1AR_reduced (fmol)');
LEGEND_RATES(:,8) = strpad('d/dt q_L_RB1_Gs in component GPCR_B1AR_reduced (fmol)');
LEGEND_RATES(:,9) = strpad('d/dt q_Gsa_GTP in component GPCR_B1AR_reduced (fmol)');
LEGEND_RATES(:,10) = strpad('d/dt q_Gsbetagamma in component GPCR_B1AR_reduced (fmol)');
LEGEND_RATES(:,11) = strpad('d/dt q_Gsa_GDP in component GPCR_B1AR_reduced (fmol)');
LEGEND_RATES(:,12) = strpad('d/dt q_GTP in component GPCR_B1AR_reduced (fmol)');
LEGEND_RATES(:,13) = strpad('d/dt q_GDP in component GPCR_B1AR_reduced (fmol)');
LEGEND_RATES(:,14) = strpad('d/dt q_Pi in component GPCR_B1AR_reduced (fmol)');
LEGEND_RATES(:,15) = strpad('d/dt q_RB1_tag in component GPCR_B1AR_reduced (fmol)');
LEGEND_RATES(:,16) = strpad('d/dt q_L_RB1_tag in component GPCR_B1AR_reduced (fmol)');
LEGEND_RATES(:,17) = strpad('d/dt q_RB1_GRKArr in component GPCR_B1AR_reduced (fmol)');
LEGEND_RATES(:,18) = strpad('d/dt q_L_RB1_GRKArr in component GPCR_B1AR_reduced (fmol)');
LEGEND_RATES(:,19) = strpad('d/dt q_GRKArr in component GPCR_B1AR_reduced (fmol)');
LEGEND_STATES = LEGEND_STATES';
LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC';
LEGEND_RATES = LEGEND_RATES';
LEGEND_CONSTANTS = LEGEND_CONSTANTS';
end
function [STATES, CONSTANTS] = initConsts(p,i_stp)
VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = [];
CONSTANTS(:,1) = 0.0004579000e0;
CONSTANTS(:,2) = 1e-18;
CONSTANTS(:,3) = 1e-18;
CONSTANTS(:,4) = 0.1455400000;
CONSTANTS(:,5) = 1e-18;
CONSTANTS(:,6) = 1e-18;
CONSTANTS(:,7) = 1e-18;
CONSTANTS(:,8) = 1e-18;
CONSTANTS(:,9) = 1e-18;
CONSTANTS(:,10) = 1e-18;
CONSTANTS(:,11) = 2.2;
CONSTANTS(:,12) = 1.1;
CONSTANTS(:,13) = 570;
CONSTANTS(:,14) = 1e-18;
CONSTANTS(:,15) = 1e-18;
CONSTANTS(:,16) = 1e-18;
CONSTANTS(:,17) = 1e-18;
CONSTANTS(:,18) = 1e-18;
CONSTANTS(:,19) = 2e2;
CONSTANTS(:,20) = 5e1;
CONSTANTS(:,21) = 8e1;
CONSTANTS(:,22) = 4e-1;
CONSTANTS(:,23) = 1e-8;
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-16;
CONSTANTS(:,24) = 128.165;
CONSTANTS(:,25) = 0.00270724;
CONSTANTS(:,26) = 3051.24;
CONSTANTS(:,27) = 64451.7;
CONSTANTS(:,28) = 0.000771563;
CONSTANTS(:,29) = 0.000901275;
CONSTANTS(:,30) = 10.133;
CONSTANTS(:,31) = 0.651714;
CONSTANTS(:,32) = 0.00238072;
CONSTANTS(:,33) = 0.00136649;
CONSTANTS(:,34) = 15.3633;
CONSTANTS(:,35) = 2.26815;
CONSTANTS(:,36) = 107378;
CONSTANTS(:,37) = 4828.8;
CONSTANTS(:,38) = 0.0226815;
CONSTANTS(:,39) = 0.122105;
CONSTANTS(:,40) = 3.14397;
CONSTANTS(:,41) = 0.00107378;
CONSTANTS(:,42) = 0.00027964;
CONSTANTS(:,43) = 0.0356841;
CONSTANTS(:,44) = 28.4425;
CONSTANTS(:,45) = 15.1005;
CONSTANTS(:,46) = 4.77164;
CONSTANTS(:,47) = 1.61737e-06;
CONSTANTS(:,48) = 8.58685e-07;
CONSTANTS(:,49) = 4.82676;
CONSTANTS(:,50) = 0.000429315;
CONSTANTS(:,51) = 0.00212734;
CONSTANTS(:,52) = 1.89216e-07;
CONSTANTS(:,53) = 1281.21;
CONSTANTS(:,54) = 8.31;
CONSTANTS(:,55) = 310;
CONSTANTS(:,56) = 96485;
CONSTANTS(:,57) = CONSTANTS(:,22)./CONSTANTS(:,21);
CONSTANTS(:,58) = CONSTANTS(:,1)+CONSTANTS(:,2)+CONSTANTS(:,3)+CONSTANTS(:,5)+CONSTANTS(:,6)+CONSTANTS(:,7);
% modify values at indives i_stp with values stored in struct p
for i = 1:length(i_stp)
CONSTANTS(:,i_stp(i)) = p(i);
end
% HACK
if false
disp('HACKILY INCREASING KAPPA BY 1E6');
for i=26:34
CONSTANTS(:,i) = CONSTANTS(:,i)*1e6;
end
end
if (isempty(STATES)), warning('Initial values for states not set');, end
end
function [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS)
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(:,3) = STATES(:,2)+CONSTANTS(:,2);
ALGEBRAIC(:,25) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,36).*ALGEBRAIC(:,3));
ALGEBRAIC(:,8) = STATES(:,7)+CONSTANTS(:,6);
ALGEBRAIC(:,30) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,41).*ALGEBRAIC(:,8));
ALGEBRAIC(:,44) = CONSTANTS(:,25).*(exp(ALGEBRAIC(:,25)./( CONSTANTS(:,54).*CONSTANTS(:,55))) - exp(ALGEBRAIC(:,30)./( CONSTANTS(:,54).*CONSTANTS(:,55))));
ALGEBRAIC(:,2) = STATES(:,1)+CONSTANTS(:,1);
ALGEBRAIC(:,24) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,35).*ALGEBRAIC(:,2));
ALGEBRAIC(:,1) = piecewise({VOI<CONSTANTS(:,19)&VOI>CONSTANTS(:,19) - CONSTANTS(:,21), CONSTANTS(:,23)+ CONSTANTS(:,57).*((VOI - CONSTANTS(:,19))+CONSTANTS(:,21)) , VOI>=CONSTANTS(:,19)&VOI<CONSTANTS(:,19)+CONSTANTS(:,20), CONSTANTS(:,22)+CONSTANTS(:,23) , VOI<CONSTANTS(:,19)+CONSTANTS(:,21)+CONSTANTS(:,20)&VOI>=CONSTANTS(:,19)+CONSTANTS(:,20), CONSTANTS(:,23)+ - CONSTANTS(:,57).*(((VOI - CONSTANTS(:,19)) - CONSTANTS(:,21)) - CONSTANTS(:,20)) }, CONSTANTS(:,23));
ALGEBRAIC(:,4) = STATES(:,3)+ALGEBRAIC(:,1);
ALGEBRAIC(:,26) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,37).*ALGEBRAIC(:,4));
ALGEBRAIC(:,46) = CONSTANTS(:,28).*(exp((ALGEBRAIC(:,24)+ALGEBRAIC(:,26))./( CONSTANTS(:,54).*CONSTANTS(:,55))) - exp(ALGEBRAIC(:,25)./( CONSTANTS(:,54).*CONSTANTS(:,55))));
RATES(:,2) = - ALGEBRAIC(:,44)+ALGEBRAIC(:,46);
RATES(:,3) = - ALGEBRAIC(:,46);
ALGEBRAIC(:,5) = STATES(:,4)+CONSTANTS(:,3);
ALGEBRAIC(:,27) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,38).*ALGEBRAIC(:,5));
ALGEBRAIC(:,43) = CONSTANTS(:,24).*(exp(ALGEBRAIC(:,24)./( CONSTANTS(:,54).*CONSTANTS(:,55))) - exp(ALGEBRAIC(:,27)./( CONSTANTS(:,54).*CONSTANTS(:,55))));
ALGEBRAIC(:,6) = STATES(:,5)+CONSTANTS(:,4);
ALGEBRAIC(:,28) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,39).*ALGEBRAIC(:,6));
ALGEBRAIC(:,7) = STATES(:,6)+CONSTANTS(:,5);
ALGEBRAIC(:,29) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,40).*ALGEBRAIC(:,7));
ALGEBRAIC(:,45) = CONSTANTS(:,26).*(exp((ALGEBRAIC(:,27)+ALGEBRAIC(:,28))./( CONSTANTS(:,54).*CONSTANTS(:,55))) - exp(ALGEBRAIC(:,29)./( CONSTANTS(:,54).*CONSTANTS(:,55))));
RATES(:,4) = ALGEBRAIC(:,43) - ALGEBRAIC(:,45);
ALGEBRAIC(:,48) = ALGEBRAIC(:,43)+ALGEBRAIC(:,46);
RATES(:,1) = ( - ALGEBRAIC(:,43) - ALGEBRAIC(:,46))+ 1.00000.*ALGEBRAIC(:,48);
ALGEBRAIC(:,9) = STATES(:,8)+CONSTANTS(:,7);
ALGEBRAIC(:,31) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,42).*ALGEBRAIC(:,9));
ALGEBRAIC(:,47) = CONSTANTS(:,27).*(exp((ALGEBRAIC(:,30)+ALGEBRAIC(:,28))./( CONSTANTS(:,54).*CONSTANTS(:,55))) - exp(ALGEBRAIC(:,31)./( CONSTANTS(:,54).*CONSTANTS(:,55))));
RATES(:,7) = ALGEBRAIC(:,44) - ALGEBRAIC(:,47);
ALGEBRAIC(:,10) = STATES(:,9)+CONSTANTS(:,8);
ALGEBRAIC(:,32) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,43).*ALGEBRAIC(:,10));
ALGEBRAIC(:,11) = STATES(:,10)+CONSTANTS(:,9);
ALGEBRAIC(:,33) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,44).*ALGEBRAIC(:,11));
ALGEBRAIC(:,14) = STATES(:,12)+CONSTANTS(:,11);
ALGEBRAIC(:,35) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,46).*ALGEBRAIC(:,14));
ALGEBRAIC(:,15) = STATES(:,13)+CONSTANTS(:,12);
ALGEBRAIC(:,36) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,47).*ALGEBRAIC(:,15));
ALGEBRAIC(:,17) = STATES(:,15)+CONSTANTS(:,14);
ALGEBRAIC(:,38) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,49).*ALGEBRAIC(:,17));
ALGEBRAIC(:,49) = CONSTANTS(:,29).*(exp((ALGEBRAIC(:,29)+ALGEBRAIC(:,35))./( CONSTANTS(:,54).*CONSTANTS(:,55))) - exp((ALGEBRAIC(:,32)+ALGEBRAIC(:,33)+ALGEBRAIC(:,38)+ALGEBRAIC(:,36))./( CONSTANTS(:,54).*CONSTANTS(:,55))));
RATES(:,6) = ALGEBRAIC(:,45) - ALGEBRAIC(:,49);
ALGEBRAIC(:,18) = STATES(:,16)+CONSTANTS(:,15);
ALGEBRAIC(:,39) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,50).*ALGEBRAIC(:,18));
ALGEBRAIC(:,50) = CONSTANTS(:,30).*(exp((ALGEBRAIC(:,31)+ALGEBRAIC(:,35))./( CONSTANTS(:,54).*CONSTANTS(:,55))) - exp((ALGEBRAIC(:,32)+ALGEBRAIC(:,33)+ALGEBRAIC(:,39)+ALGEBRAIC(:,36))./( CONSTANTS(:,54).*CONSTANTS(:,55))));
RATES(:,8) = ALGEBRAIC(:,47) - ALGEBRAIC(:,50);
RATES(:,12) = - ALGEBRAIC(:,49) - ALGEBRAIC(:,50);
RATES(:,13) = ALGEBRAIC(:,49)+ALGEBRAIC(:,50);
ALGEBRAIC(:,12) = STATES(:,11)+CONSTANTS(:,10);
ALGEBRAIC(:,34) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,45).*ALGEBRAIC(:,12));
ALGEBRAIC(:,16) = STATES(:,14)+CONSTANTS(:,13);
ALGEBRAIC(:,37) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,48).*ALGEBRAIC(:,16));
ALGEBRAIC(:,51) = CONSTANTS(:,31).*(exp(ALGEBRAIC(:,32)./( CONSTANTS(:,54).*CONSTANTS(:,55))) - exp((ALGEBRAIC(:,34)+ALGEBRAIC(:,37))./( CONSTANTS(:,54).*CONSTANTS(:,55))));
RATES(:,9) = (ALGEBRAIC(:,49)+ALGEBRAIC(:,50)) - ALGEBRAIC(:,51);
RATES(:,14) = ALGEBRAIC(:,51);
ALGEBRAIC(:,19) = STATES(:,17)+CONSTANTS(:,16);
ALGEBRAIC(:,40) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,51).*ALGEBRAIC(:,19));
ALGEBRAIC(:,23) = STATES(:,19)+CONSTANTS(:,18);
ALGEBRAIC(:,42) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,53).*ALGEBRAIC(:,23));
ALGEBRAIC(:,52) = CONSTANTS(:,33).*(exp((ALGEBRAIC(:,38)+ALGEBRAIC(:,42))./( CONSTANTS(:,54).*CONSTANTS(:,55))) - exp(ALGEBRAIC(:,40)./( CONSTANTS(:,54).*CONSTANTS(:,55))));
RATES(:,15) = ALGEBRAIC(:,49) - ALGEBRAIC(:,52);
RATES(:,17) = ALGEBRAIC(:,52);
ALGEBRAIC(:,53) = CONSTANTS(:,32).*(exp((ALGEBRAIC(:,34)+ALGEBRAIC(:,33))./( CONSTANTS(:,54).*CONSTANTS(:,55))) - exp(ALGEBRAIC(:,28)./( CONSTANTS(:,54).*CONSTANTS(:,55))));
RATES(:,5) = ( - ALGEBRAIC(:,45) - ALGEBRAIC(:,47))+ALGEBRAIC(:,53);
RATES(:,10) = (ALGEBRAIC(:,49)+ALGEBRAIC(:,50)) - ALGEBRAIC(:,53);
RATES(:,11) = ALGEBRAIC(:,51) - ALGEBRAIC(:,53);
ALGEBRAIC(:,20) = STATES(:,18)+CONSTANTS(:,17);
ALGEBRAIC(:,41) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,52).*ALGEBRAIC(:,20));
ALGEBRAIC(:,54) = CONSTANTS(:,34).*(exp((ALGEBRAIC(:,39)+ALGEBRAIC(:,42))./( CONSTANTS(:,54).*CONSTANTS(:,55))) - exp(ALGEBRAIC(:,41)./( CONSTANTS(:,54).*CONSTANTS(:,55))));
RATES(:,16) = ALGEBRAIC(:,50) - ALGEBRAIC(:,54);
RATES(:,18) = ALGEBRAIC(:,54);
RATES(:,19) = - ALGEBRAIC(:,52) - ALGEBRAIC(:,54);
RATES = RATES';
end
% Calculate algebraic variables
function ALGEBRAIC = computeAlgebraic(ALGEBRAIC, CONSTANTS, STATES, VOI)
statesSize = size(STATES);
statesColumnCount = statesSize(2);
if ( statesColumnCount == 1)
STATES = STATES';
utilOnes = 1;
else
statesRowCount = statesSize(1);
utilOnes = ones(statesRowCount, 1);
end
ALGEBRAIC(:,3) = STATES(:,2)+CONSTANTS(:,2);
ALGEBRAIC(:,25) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,36).*ALGEBRAIC(:,3));
ALGEBRAIC(:,8) = STATES(:,7)+CONSTANTS(:,6);
ALGEBRAIC(:,30) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,41).*ALGEBRAIC(:,8));
ALGEBRAIC(:,44) = CONSTANTS(:,25).*(exp(ALGEBRAIC(:,25)./( CONSTANTS(:,54).*CONSTANTS(:,55))) - exp(ALGEBRAIC(:,30)./( CONSTANTS(:,54).*CONSTANTS(:,55))));
ALGEBRAIC(:,2) = STATES(:,1)+CONSTANTS(:,1);
ALGEBRAIC(:,24) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,35).*ALGEBRAIC(:,2));
ALGEBRAIC(:,1) = piecewise({VOI<CONSTANTS(:,19)&VOI>CONSTANTS(:,19) - CONSTANTS(:,21), CONSTANTS(:,23)+ CONSTANTS(:,57).*((VOI - CONSTANTS(:,19))+CONSTANTS(:,21)) , VOI>=CONSTANTS(:,19)&VOI<CONSTANTS(:,19)+CONSTANTS(:,20), CONSTANTS(:,22)+CONSTANTS(:,23) , VOI<CONSTANTS(:,19)+CONSTANTS(:,21)+CONSTANTS(:,20)&VOI>=CONSTANTS(:,19)+CONSTANTS(:,20), CONSTANTS(:,23)+ - CONSTANTS(:,57).*(((VOI - CONSTANTS(:,19)) - CONSTANTS(:,21)) - CONSTANTS(:,20)) }, CONSTANTS(:,23));
ALGEBRAIC(:,4) = STATES(:,3)+ALGEBRAIC(:,1);
ALGEBRAIC(:,26) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,37).*ALGEBRAIC(:,4));
ALGEBRAIC(:,46) = CONSTANTS(:,28).*(exp((ALGEBRAIC(:,24)+ALGEBRAIC(:,26))./( CONSTANTS(:,54).*CONSTANTS(:,55))) - exp(ALGEBRAIC(:,25)./( CONSTANTS(:,54).*CONSTANTS(:,55))));
ALGEBRAIC(:,5) = STATES(:,4)+CONSTANTS(:,3);
ALGEBRAIC(:,27) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,38).*ALGEBRAIC(:,5));
ALGEBRAIC(:,43) = CONSTANTS(:,24).*(exp(ALGEBRAIC(:,24)./( CONSTANTS(:,54).*CONSTANTS(:,55))) - exp(ALGEBRAIC(:,27)./( CONSTANTS(:,54).*CONSTANTS(:,55))));
ALGEBRAIC(:,6) = STATES(:,5)+CONSTANTS(:,4);
ALGEBRAIC(:,28) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,39).*ALGEBRAIC(:,6));
ALGEBRAIC(:,7) = STATES(:,6)+CONSTANTS(:,5);
ALGEBRAIC(:,29) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,40).*ALGEBRAIC(:,7));
ALGEBRAIC(:,45) = CONSTANTS(:,26).*(exp((ALGEBRAIC(:,27)+ALGEBRAIC(:,28))./( CONSTANTS(:,54).*CONSTANTS(:,55))) - exp(ALGEBRAIC(:,29)./( CONSTANTS(:,54).*CONSTANTS(:,55))));
ALGEBRAIC(:,48) = ALGEBRAIC(:,43)+ALGEBRAIC(:,46);
ALGEBRAIC(:,9) = STATES(:,8)+CONSTANTS(:,7);
ALGEBRAIC(:,31) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,42).*ALGEBRAIC(:,9));
ALGEBRAIC(:,47) = CONSTANTS(:,27).*(exp((ALGEBRAIC(:,30)+ALGEBRAIC(:,28))./( CONSTANTS(:,54).*CONSTANTS(:,55))) - exp(ALGEBRAIC(:,31)./( CONSTANTS(:,54).*CONSTANTS(:,55))));
ALGEBRAIC(:,10) = STATES(:,9)+CONSTANTS(:,8);
ALGEBRAIC(:,32) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,43).*ALGEBRAIC(:,10));
ALGEBRAIC(:,11) = STATES(:,10)+CONSTANTS(:,9);
ALGEBRAIC(:,33) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,44).*ALGEBRAIC(:,11));
ALGEBRAIC(:,14) = STATES(:,12)+CONSTANTS(:,11);
ALGEBRAIC(:,35) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,46).*ALGEBRAIC(:,14));
ALGEBRAIC(:,15) = STATES(:,13)+CONSTANTS(:,12);
ALGEBRAIC(:,36) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,47).*ALGEBRAIC(:,15));
ALGEBRAIC(:,17) = STATES(:,15)+CONSTANTS(:,14);
ALGEBRAIC(:,38) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,49).*ALGEBRAIC(:,17));
ALGEBRAIC(:,49) = CONSTANTS(:,29).*(exp((ALGEBRAIC(:,29)+ALGEBRAIC(:,35))./( CONSTANTS(:,54).*CONSTANTS(:,55))) - exp((ALGEBRAIC(:,32)+ALGEBRAIC(:,33)+ALGEBRAIC(:,38)+ALGEBRAIC(:,36))./( CONSTANTS(:,54).*CONSTANTS(:,55))));
ALGEBRAIC(:,18) = STATES(:,16)+CONSTANTS(:,15);
ALGEBRAIC(:,39) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,50).*ALGEBRAIC(:,18));
ALGEBRAIC(:,50) = CONSTANTS(:,30).*(exp((ALGEBRAIC(:,31)+ALGEBRAIC(:,35))./( CONSTANTS(:,54).*CONSTANTS(:,55))) - exp((ALGEBRAIC(:,32)+ALGEBRAIC(:,33)+ALGEBRAIC(:,39)+ALGEBRAIC(:,36))./( CONSTANTS(:,54).*CONSTANTS(:,55))));
ALGEBRAIC(:,12) = STATES(:,11)+CONSTANTS(:,10);
ALGEBRAIC(:,34) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,45).*ALGEBRAIC(:,12));
ALGEBRAIC(:,16) = STATES(:,14)+CONSTANTS(:,13);
ALGEBRAIC(:,37) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,48).*ALGEBRAIC(:,16));
ALGEBRAIC(:,51) = CONSTANTS(:,31).*(exp(ALGEBRAIC(:,32)./( CONSTANTS(:,54).*CONSTANTS(:,55))) - exp((ALGEBRAIC(:,34)+ALGEBRAIC(:,37))./( CONSTANTS(:,54).*CONSTANTS(:,55))));
ALGEBRAIC(:,19) = STATES(:,17)+CONSTANTS(:,16);
ALGEBRAIC(:,40) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,51).*ALGEBRAIC(:,19));
ALGEBRAIC(:,23) = STATES(:,19)+CONSTANTS(:,18);
ALGEBRAIC(:,42) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,53).*ALGEBRAIC(:,23));
ALGEBRAIC(:,52) = CONSTANTS(:,33).*(exp((ALGEBRAIC(:,38)+ALGEBRAIC(:,42))./( CONSTANTS(:,54).*CONSTANTS(:,55))) - exp(ALGEBRAIC(:,40)./( CONSTANTS(:,54).*CONSTANTS(:,55))));
ALGEBRAIC(:,53) = CONSTANTS(:,32).*(exp((ALGEBRAIC(:,34)+ALGEBRAIC(:,33))./( CONSTANTS(:,54).*CONSTANTS(:,55))) - exp(ALGEBRAIC(:,28)./( CONSTANTS(:,54).*CONSTANTS(:,55))));
ALGEBRAIC(:,20) = STATES(:,18)+CONSTANTS(:,17);
ALGEBRAIC(:,41) = CONSTANTS(:,54).*CONSTANTS(:,55).*log( CONSTANTS(:,52).*ALGEBRAIC(:,20));
ALGEBRAIC(:,54) = CONSTANTS(:,34).*(exp((ALGEBRAIC(:,39)+ALGEBRAIC(:,42))./( CONSTANTS(:,54).*CONSTANTS(:,55))) - exp(ALGEBRAIC(:,41)./( CONSTANTS(:,54).*CONSTANTS(:,55))));
ALGEBRAIC(:,13) = ALGEBRAIC(:,6)+ALGEBRAIC(:,7)+ALGEBRAIC(:,9)+ALGEBRAIC(:,10)+ALGEBRAIC(:,12);
ALGEBRAIC(:,21) = ALGEBRAIC(:,2)+ALGEBRAIC(:,3)+ALGEBRAIC(:,5)+ALGEBRAIC(:,7)+ALGEBRAIC(:,8)+ALGEBRAIC(:,9)+ALGEBRAIC(:,17)+ALGEBRAIC(:,18)+ALGEBRAIC(:,19)+ALGEBRAIC(:,20);
ALGEBRAIC(:,22) = ALGEBRAIC(:,3)+ALGEBRAIC(:,4)+ALGEBRAIC(:,8)+ALGEBRAIC(:,9)+ALGEBRAIC(:,18)+ALGEBRAIC(:,20);
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
