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 =80; end % There are a total of 38 entries in each of the rate and state variable arrays. % There are a total of 65 entries in the constant variable array. % function [VOI, STATES, ALGEBRAIC, CONSTANTS] = solveModel() % Create ALGEBRAIC of correct size global algebraicVariableCount; algebraicVariableCount = getAlgebraicVariableCount(); % Initialise constants and state variables [INIT_STATES, CONSTANTS] = initConsts; % Set timespan to solve over tspan = [0, 10]; % Set numerical accuracy options for ODE solver options = odeset('RelTol', 1e-06, 'AbsTol', 1e-06, 'MaxStep', 1); % 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); % Plot state variables against variable of integration [LEGEND_STATES, LEGEND_ALGEBRAIC, LEGEND_VOI, LEGEND_CONSTANTS] = createLegends(); figure(); plot(VOI, STATES); xlabel(LEGEND_VOI); l = legend(LEGEND_STATES); set(l,'Interpreter','none'); 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 (millisecond)'); LEGEND_STATES(:,1) = strpad('V in component membrane (millivolt)'); LEGEND_CONSTANTS(:,1) = strpad('R in component membrane (joule_per_mole_kelvin)'); LEGEND_CONSTANTS(:,2) = strpad('T in component membrane (kelvin)'); LEGEND_CONSTANTS(:,3) = strpad('F in component membrane (coulomb_per_millimole)'); LEGEND_CONSTANTS(:,4) = strpad('Cm in component membrane (picoF)'); LEGEND_ALGEBRAIC(:,14) = strpad('I_stim in component I_stim (picoA)'); LEGEND_ALGEBRAIC(:,54) = strpad('i_Na in component sodium_current (picoA)'); LEGEND_ALGEBRAIC(:,22) = strpad('i_Ca_L in component L_type_Ca_channel (picoA)'); LEGEND_ALGEBRAIC(:,30) = strpad('i_Ca_T in component T_type_Ca_channel (picoA)'); LEGEND_ALGEBRAIC(:,38) = strpad('i_Kv in component voltage_dep_K_channel (picoA)'); LEGEND_ALGEBRAIC(:,46) = strpad('i_BK in component Calcium_voltage_activated_potassium_channel (picoA)'); LEGEND_ALGEBRAIC(:,58) = strpad('i_NCX in component Na_Ca_exchanger (picoA)'); LEGEND_ALGEBRAIC(:,61) = strpad('i_NaK in component sodium_potassium_pump (picoA)'); LEGEND_ALGEBRAIC(:,73) = strpad('i_NsK in component non_specific_K_current (picoA)'); LEGEND_ALGEBRAIC(:,67) = strpad('i_NsNa in component non_specific_Na_current (picoA)'); LEGEND_ALGEBRAIC(:,9) = strpad('local_time in component I_stim (millisecond)'); LEGEND_CONSTANTS(:,5) = strpad('period in component I_stim (millisecond)'); LEGEND_ALGEBRAIC(:,1) = strpad('stim_start in component I_stim (millisecond)'); LEGEND_CONSTANTS(:,6) = strpad('Gcouple in component I_stim (nanoS)'); LEGEND_CONSTANTS(:,7) = strpad('t_ICCpeak in component I_stim (millisecond)'); LEGEND_CONSTANTS(:,8) = strpad('t_ICCplateau in component I_stim (millisecond)'); LEGEND_CONSTANTS(:,9) = strpad('t_slope in component I_stim (millisecond)'); LEGEND_CONSTANTS(:,10) = strpad('f_1 in component I_stim (millisecond)'); LEGEND_CONSTANTS(:,11) = strpad('f_2 in component I_stim (millisecond)'); LEGEND_CONSTANTS(:,12) = strpad('V_ICCrest in component I_stim (millivolt)'); LEGEND_CONSTANTS(:,13) = strpad('V_ICCamp in component I_stim (millivolt)'); LEGEND_ALGEBRAIC(:,18) = strpad('E_Ca in component L_type_Ca_channel (millivolt)'); LEGEND_CONSTANTS(:,14) = strpad('g_CaL in component L_type_Ca_channel (nanoS)'); LEGEND_CONSTANTS(:,15) = strpad('Cao in component ionic_concentrations (millimolar)'); LEGEND_STATES(:,2) = strpad('Cai in component ionic_concentrations (millimolar)'); LEGEND_STATES(:,3) = strpad('O_CaL in component L_type_Ca_channel_states (dimensionless)'); LEGEND_STATES(:,4) = strpad('C0 in component L_type_Ca_channel_states (dimensionless)'); LEGEND_STATES(:,5) = strpad('C1 in component L_type_Ca_channel_states (dimensionless)'); LEGEND_STATES(:,6) = strpad('C2 in component L_type_Ca_channel_states (dimensionless)'); LEGEND_STATES(:,7) = strpad('C3 in component L_type_Ca_channel_states (dimensionless)'); LEGEND_STATES(:,8) = strpad('C0Ca in component L_type_Ca_channel_states (dimensionless)'); LEGEND_STATES(:,9) = strpad('C1Ca in component L_type_Ca_channel_states (dimensionless)'); LEGEND_STATES(:,10) = strpad('C2Ca in component L_type_Ca_channel_states (dimensionless)'); LEGEND_STATES(:,11) = strpad('C3Ca in component L_type_Ca_channel_states (dimensionless)'); LEGEND_STATES(:,12) = strpad('ICa in component L_type_Ca_channel_states (dimensionless)'); LEGEND_STATES(:,13) = strpad('IVs in component L_type_Ca_channel_states (dimensionless)'); LEGEND_STATES(:,14) = strpad('IVf in component L_type_Ca_channel_states (dimensionless)'); LEGEND_STATES(:,15) = strpad('IVfCa in component L_type_Ca_channel_states (dimensionless)'); LEGEND_STATES(:,16) = strpad('IVsCa in component L_type_Ca_channel_states (dimensionless)'); LEGEND_ALGEBRAIC(:,2) = strpad('alpha in component L_type_Ca_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,10) = strpad('beta in component L_type_Ca_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,15) = strpad('alpha_0 in component L_type_Ca_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,19) = strpad('alpha_1 in component L_type_Ca_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,23) = strpad('alpha_2 in component L_type_Ca_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,27) = strpad('alpha_3 in component L_type_Ca_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,31) = strpad('beta_0 in component L_type_Ca_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,35) = strpad('beta_1 in component L_type_Ca_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,39) = strpad('beta_2 in component L_type_Ca_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,43) = strpad('beta_3 in component L_type_Ca_channel_states (per_millisecond)'); LEGEND_CONSTANTS(:,54) = strpad('delta in component L_type_Ca_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,78) = strpad('theta in component L_type_Ca_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,51) = strpad('phi_s in component L_type_Ca_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,47) = strpad('phi_f in component L_type_Ca_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,71) = strpad('omega_s in component L_type_Ca_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,68) = strpad('omega_f in component L_type_Ca_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,76) = strpad('omega_fs in component L_type_Ca_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,74) = strpad('omega_sf in component L_type_Ca_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,65) = strpad('psi_s in component L_type_Ca_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,62) = strpad('psi_f in component L_type_Ca_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,59) = strpad('xi_s in component L_type_Ca_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,55) = strpad('xi_f in component L_type_Ca_channel_states (per_millisecond)'); LEGEND_CONSTANTS(:,45) = strpad('T_correction_Ca in component L_type_Ca_channel_states (dimensionless)'); LEGEND_CONSTANTS(:,16) = strpad('Q10Ca in component L_type_Ca_channel_states (dimensionless)'); LEGEND_ALGEBRAIC(:,80) = strpad('norm in component L_type_Ca_channel_states (dimensionless)'); LEGEND_CONSTANTS(:,17) = strpad('g_CaT in component T_type_Ca_channel (nanoS)'); LEGEND_ALGEBRAIC(:,26) = strpad('E_Ca in component T_type_Ca_channel (millivolt)'); LEGEND_STATES(:,17) = strpad('d_CaT in component T_type_Ca_channel_d_gate (dimensionless)'); LEGEND_STATES(:,18) = strpad('f_CaT in component T_type_Ca_channel_f_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,3) = strpad('d_CaT_inf in component T_type_Ca_channel_d_gate (dimensionless)'); LEGEND_CONSTANTS(:,55) = strpad('tau_d_CaT in component T_type_Ca_channel_d_gate (millisecond)'); LEGEND_CONSTANTS(:,46) = strpad('T_correction_Ca in component T_type_Ca_channel_d_gate (dimensionless)'); LEGEND_CONSTANTS(:,18) = strpad('Q10Ca in component T_type_Ca_channel_d_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,4) = strpad('f_CaT_inf in component T_type_Ca_channel_f_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,11) = strpad('tau_f_CaT in component T_type_Ca_channel_f_gate (millisecond)'); LEGEND_CONSTANTS(:,47) = strpad('T_correction_Ca in component T_type_Ca_channel_f_gate (dimensionless)'); LEGEND_CONSTANTS(:,19) = strpad('Q10Ca in component T_type_Ca_channel_f_gate (dimensionless)'); LEGEND_CONSTANTS(:,20) = strpad('g_Kv in component voltage_dep_K_channel (nanoS)'); LEGEND_ALGEBRAIC(:,34) = strpad('E_K in component voltage_dep_K_channel (millivolt)'); LEGEND_STATES(:,19) = strpad('x_Kv in component voltage_dep_K_channel_x_gate (dimensionless)'); LEGEND_STATES(:,20) = strpad('y_Kv in component voltage_dep_K_channel_y_gate (dimensionless)'); LEGEND_CONSTANTS(:,21) = strpad('Ko in component ionic_concentrations (millimolar)'); LEGEND_STATES(:,21) = strpad('Ki in component ionic_concentrations (millimolar)'); LEGEND_ALGEBRAIC(:,5) = strpad('x_Kv_inf in component voltage_dep_K_channel_x_gate (dimensionless)'); LEGEND_CONSTANTS(:,56) = strpad('tau_x_Kv in component voltage_dep_K_channel_x_gate (millisecond)'); LEGEND_CONSTANTS(:,48) = strpad('T_correction_K in component voltage_dep_K_channel_x_gate (dimensionless)'); LEGEND_CONSTANTS(:,22) = strpad('Q10K in component voltage_dep_K_channel_x_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,6) = strpad('y_Kv_inf in component voltage_dep_K_channel_y_gate (dimensionless)'); LEGEND_CONSTANTS(:,57) = strpad('tau_y_Kv in component voltage_dep_K_channel_y_gate (millisecond)'); LEGEND_CONSTANTS(:,49) = strpad('T_correction_K in component voltage_dep_K_channel_y_gate (dimensionless)'); LEGEND_CONSTANTS(:,23) = strpad('Q10K in component voltage_dep_K_channel_y_gate (dimensionless)'); LEGEND_ALGEBRAIC(:,42) = strpad('E_K in component Calcium_voltage_activated_potassium_channel (millivolt)'); LEGEND_CONSTANTS(:,24) = strpad('g_BK in component Calcium_voltage_activated_potassium_channel (nanoS)'); LEGEND_STATES(:,22) = strpad('O4 in component Calcium_voltage_activated_potassium_channel_states (dimensionless)'); LEGEND_STATES(:,23) = strpad('C0 in component Calcium_voltage_activated_potassium_channel_states (dimensionless)'); LEGEND_STATES(:,24) = strpad('C1 in component Calcium_voltage_activated_potassium_channel_states (dimensionless)'); LEGEND_STATES(:,25) = strpad('C2 in component Calcium_voltage_activated_potassium_channel_states (dimensionless)'); LEGEND_STATES(:,26) = strpad('C3 in component Calcium_voltage_activated_potassium_channel_states (dimensionless)'); LEGEND_STATES(:,27) = strpad('C4 in component Calcium_voltage_activated_potassium_channel_states (dimensionless)'); LEGEND_STATES(:,28) = strpad('O0 in component Calcium_voltage_activated_potassium_channel_states (dimensionless)'); LEGEND_STATES(:,29) = strpad('O1 in component Calcium_voltage_activated_potassium_channel_states (dimensionless)'); LEGEND_STATES(:,30) = strpad('O2 in component Calcium_voltage_activated_potassium_channel_states (dimensionless)'); LEGEND_STATES(:,31) = strpad('O3 in component Calcium_voltage_activated_potassium_channel_states (dimensionless)'); LEGEND_ALGEBRAIC(:,7) = strpad('alpha in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,12) = strpad('beta in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_CONSTANTS(:,50) = strpad('k_on in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_CONSTANTS(:,51) = strpad('k_off_C in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_CONSTANTS(:,52) = strpad('k_off_O in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,16) = strpad('k_C0O0 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,20) = strpad('k_C1O1 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,24) = strpad('k_C2O2 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,28) = strpad('k_C3O3 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,32) = strpad('k_C4O4 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,36) = strpad('k_O0C0 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,40) = strpad('k_O1C1 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,44) = strpad('k_O2C2 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,48) = strpad('k_O3C3 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,52) = strpad('k_O4C4 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,56) = strpad('k_C0C1 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,60) = strpad('k_C1C2 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,63) = strpad('k_C2C3 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,66) = strpad('k_C3C4 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_CONSTANTS(:,58) = strpad('k_C4C3 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_CONSTANTS(:,59) = strpad('k_C3C2 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_CONSTANTS(:,60) = strpad('k_C2C1 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_CONSTANTS(:,61) = strpad('k_C1C0 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,69) = strpad('k_O0O1 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,72) = strpad('k_O1O2 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,75) = strpad('k_O2O3 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,77) = strpad('k_O3O4 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_CONSTANTS(:,62) = strpad('k_O4O3 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_CONSTANTS(:,63) = strpad('k_O3O2 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_CONSTANTS(:,64) = strpad('k_O2O1 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_CONSTANTS(:,65) = strpad('k_O1O0 in component Calcium_voltage_activated_potassium_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,79) = strpad('norm in component Calcium_voltage_activated_potassium_channel_states (dimensionless)'); LEGEND_ALGEBRAIC(:,50) = strpad('E_Na in component sodium_current (millivolt)'); LEGEND_CONSTANTS(:,25) = strpad('g_Na in component sodium_current (nanoS)'); LEGEND_CONSTANTS(:,26) = strpad('Nao in component ionic_concentrations (millimolar)'); LEGEND_STATES(:,32) = strpad('Nai in component ionic_concentrations (millimolar)'); LEGEND_STATES(:,33) = strpad('O_Na in component Na_channel_states (dimensionless)'); LEGEND_STATES(:,34) = strpad('C1 in component Na_channel_states (dimensionless)'); LEGEND_STATES(:,35) = strpad('C2 in component Na_channel_states (dimensionless)'); LEGEND_STATES(:,36) = strpad('C3 in component Na_channel_states (dimensionless)'); LEGEND_STATES(:,37) = strpad('I1 in component Na_channel_states (dimensionless)'); LEGEND_STATES(:,38) = strpad('I2 in component Na_channel_states (dimensionless)'); LEGEND_ALGEBRAIC(:,8) = strpad('k_I2I1 in component Na_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,13) = strpad('k_I1O in component Na_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,17) = strpad('k_OC1 in component Na_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,21) = strpad('k_C1C2 in component Na_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,25) = strpad('k_C2C3 in component Na_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,29) = strpad('k_C3C2 in component Na_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,33) = strpad('k_C2C1 in component Na_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,37) = strpad('k_C1O in component Na_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,41) = strpad('k_OI1 in component Na_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,45) = strpad('k_I1I2 in component Na_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,49) = strpad('k_I1C1 in component Na_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,53) = strpad('k_C1I1 in component Na_channel_states (per_millisecond)'); LEGEND_ALGEBRAIC(:,57) = strpad('norm in component Na_channel_states (dimensionless)'); LEGEND_CONSTANTS(:,53) = strpad('T_correction_Na in component Na_channel_states (dimensionless)'); LEGEND_CONSTANTS(:,27) = strpad('Q10Na in component Na_channel_states (dimensionless)'); LEGEND_CONSTANTS(:,28) = strpad('P_NCX in component Na_Ca_exchanger (picoA)'); LEGEND_CONSTANTS(:,29) = strpad('K_mCa in component Na_Ca_exchanger (millimolar)'); LEGEND_CONSTANTS(:,30) = strpad('K_mNai in component Na_Ca_exchanger (millimolar)'); LEGEND_CONSTANTS(:,31) = strpad('k_sat in component Na_Ca_exchanger (dimensionless)'); LEGEND_CONSTANTS(:,32) = strpad('gamma in component Na_Ca_exchanger (dimensionless)'); LEGEND_CONSTANTS(:,33) = strpad('P_NaK in component sodium_potassium_pump (picoA)'); LEGEND_CONSTANTS(:,34) = strpad('K_mK in component sodium_potassium_pump (millimolar)'); LEGEND_CONSTANTS(:,35) = strpad('K_mNa in component sodium_potassium_pump (millimolar)'); LEGEND_CONSTANTS(:,36) = strpad('g_NsNa in component non_specific_Na_current (nanoS)'); LEGEND_ALGEBRAIC(:,64) = strpad('E_Na in component non_specific_Na_current (millivolt)'); LEGEND_CONSTANTS(:,37) = strpad('g_NsK in component non_specific_K_current (nanoS)'); LEGEND_ALGEBRAIC(:,70) = strpad('E_K in component non_specific_K_current (millivolt)'); LEGEND_CONSTANTS(:,38) = strpad('CRT_total in component ionic_concentrations (millimolar)'); LEGEND_CONSTANTS(:,39) = strpad('CaM_total in component ionic_concentrations (millimolar)'); LEGEND_CONSTANTS(:,40) = strpad('K_D_CRT in component ionic_concentrations (millimolar)'); LEGEND_CONSTANTS(:,41) = strpad('K_D_CaM in component ionic_concentrations (millimolar4)'); LEGEND_CONSTANTS(:,42) = strpad('n_CRT in component ionic_concentrations (dimensionless)'); LEGEND_CONSTANTS(:,43) = strpad('n_CaM in component ionic_concentrations (dimensionless)'); LEGEND_CONSTANTS(:,44) = strpad('V_myo in component ionic_concentrations (litre)'); LEGEND_RATES(:,1) = strpad('d/dt V in component membrane (millivolt)'); LEGEND_RATES(:,7) = strpad('d/dt C3 in component L_type_Ca_channel_states (dimensionless)'); LEGEND_RATES(:,6) = strpad('d/dt C2 in component L_type_Ca_channel_states (dimensionless)'); LEGEND_RATES(:,5) = strpad('d/dt C1 in component L_type_Ca_channel_states (dimensionless)'); LEGEND_RATES(:,4) = strpad('d/dt C0 in component L_type_Ca_channel_states (dimensionless)'); LEGEND_RATES(:,11) = strpad('d/dt C3Ca in component L_type_Ca_channel_states (dimensionless)'); LEGEND_RATES(:,10) = strpad('d/dt C2Ca in component L_type_Ca_channel_states (dimensionless)'); LEGEND_RATES(:,9) = strpad('d/dt C1Ca in component L_type_Ca_channel_states (dimensionless)'); LEGEND_RATES(:,8) = strpad('d/dt C0Ca in component L_type_Ca_channel_states (dimensionless)'); LEGEND_RATES(:,3) = strpad('d/dt O_CaL in component L_type_Ca_channel_states (dimensionless)'); LEGEND_RATES(:,12) = strpad('d/dt ICa in component L_type_Ca_channel_states (dimensionless)'); LEGEND_RATES(:,13) = strpad('d/dt IVs in component L_type_Ca_channel_states (dimensionless)'); LEGEND_RATES(:,14) = strpad('d/dt IVf in component L_type_Ca_channel_states (dimensionless)'); LEGEND_RATES(:,16) = strpad('d/dt IVsCa in component L_type_Ca_channel_states (dimensionless)'); LEGEND_RATES(:,15) = strpad('d/dt IVfCa in component L_type_Ca_channel_states (dimensionless)'); LEGEND_RATES(:,17) = strpad('d/dt d_CaT in component T_type_Ca_channel_d_gate (dimensionless)'); LEGEND_RATES(:,18) = strpad('d/dt f_CaT in component T_type_Ca_channel_f_gate (dimensionless)'); LEGEND_RATES(:,19) = strpad('d/dt x_Kv in component voltage_dep_K_channel_x_gate (dimensionless)'); LEGEND_RATES(:,20) = strpad('d/dt y_Kv in component voltage_dep_K_channel_y_gate (dimensionless)'); LEGEND_RATES(:,27) = strpad('d/dt C4 in component Calcium_voltage_activated_potassium_channel_states (dimensionless)'); LEGEND_RATES(:,26) = strpad('d/dt C3 in component Calcium_voltage_activated_potassium_channel_states (dimensionless)'); LEGEND_RATES(:,25) = strpad('d/dt C2 in component Calcium_voltage_activated_potassium_channel_states (dimensionless)'); LEGEND_RATES(:,24) = strpad('d/dt C1 in component Calcium_voltage_activated_potassium_channel_states (dimensionless)'); LEGEND_RATES(:,23) = strpad('d/dt C0 in component Calcium_voltage_activated_potassium_channel_states (dimensionless)'); LEGEND_RATES(:,22) = strpad('d/dt O4 in component Calcium_voltage_activated_potassium_channel_states (dimensionless)'); LEGEND_RATES(:,31) = strpad('d/dt O3 in component Calcium_voltage_activated_potassium_channel_states (dimensionless)'); LEGEND_RATES(:,30) = strpad('d/dt O2 in component Calcium_voltage_activated_potassium_channel_states (dimensionless)'); LEGEND_RATES(:,29) = strpad('d/dt O1 in component Calcium_voltage_activated_potassium_channel_states (dimensionless)'); LEGEND_RATES(:,28) = strpad('d/dt O0 in component Calcium_voltage_activated_potassium_channel_states (dimensionless)'); LEGEND_RATES(:,36) = strpad('d/dt C3 in component Na_channel_states (dimensionless)'); LEGEND_RATES(:,35) = strpad('d/dt C2 in component Na_channel_states (dimensionless)'); LEGEND_RATES(:,34) = strpad('d/dt C1 in component Na_channel_states (dimensionless)'); LEGEND_RATES(:,33) = strpad('d/dt O_Na in component Na_channel_states (dimensionless)'); LEGEND_RATES(:,38) = strpad('d/dt I2 in component Na_channel_states (dimensionless)'); LEGEND_RATES(:,37) = strpad('d/dt I1 in component Na_channel_states (dimensionless)'); LEGEND_RATES(:,32) = strpad('d/dt Nai in component ionic_concentrations (millimolar)'); LEGEND_RATES(:,21) = strpad('d/dt Ki in component ionic_concentrations (millimolar)'); LEGEND_RATES(:,2) = strpad('d/dt Cai in component ionic_concentrations (millimolar)'); LEGEND_STATES = LEGEND_STATES'; LEGEND_ALGEBRAIC = LEGEND_ALGEBRAIC'; LEGEND_RATES = LEGEND_RATES'; LEGEND_CONSTANTS = LEGEND_CONSTANTS'; end function [STATES, CONSTANTS] = initConsts() VOI = 0; CONSTANTS = []; STATES = []; ALGEBRAIC = []; STATES(:,1) = -73.5049651455872; CONSTANTS(:,1) = 8.314; CONSTANTS(:,2) = 310; CONSTANTS(:,3) = 96.48534; CONSTANTS(:,4) = 50; CONSTANTS(:,5) = 10000; CONSTANTS(:,6) = 2.6; CONSTANTS(:,7) = 300; CONSTANTS(:,8) = 9700; CONSTANTS(:,9) = 600; CONSTANTS(:,10) = 12000; CONSTANTS(:,11) = 300; CONSTANTS(:,12) = -57; CONSTANTS(:,13) = 33.5; CONSTANTS(:,14) = 1.44; CONSTANTS(:,15) = 2; STATES(:,2) = 5.38843941249284e-5; STATES(:,3) = 3.88576045134351e-6; STATES(:,4) = 0.815464741971086; STATES(:,5) = 0.152399266235657; STATES(:,6) = 0.0106805060777161; STATES(:,7) = 0.000332673548872087; STATES(:,8) = 0.0175888495282545; STATES(:,9) = 0.00328711668724504; STATES(:,10) = 0.000230369020877669; STATES(:,11) = 7.1754726923539e-6; STATES(:,12) = 8.38123983500905e-8; STATES(:,13) = 1.1193313274705e-6; STATES(:,14) = 4.0998751301597e-6; STATES(:,15) = 8.84306615061238e-8; STATES(:,16) = 2.41429816075123e-8; CONSTANTS(:,16) = 2.1; CONSTANTS(:,17) = 0.0425; STATES(:,17) = 0.0791635737410974; STATES(:,18) = 0.377831534375835; CONSTANTS(:,18) = 2.1; CONSTANTS(:,19) = 2.1; CONSTANTS(:,20) = 1.0217; STATES(:,19) = 0.14714161078933; STATES(:,20) = 0.99994773314105; CONSTANTS(:,21) = 5.4; STATES(:,21) = 153.604280337996; CONSTANTS(:,22) = 3.1; CONSTANTS(:,23) = 3.1; CONSTANTS(:,24) = 80; STATES(:,22) = 1.82113764497095e-6; STATES(:,23) = 0.48379087935899; STATES(:,24) = 0.385183559520031; STATES(:,25) = 0.115002824567753; STATES(:,26) = 0.0152602714149774; STATES(:,27) = 0.000759264410974374; STATES(:,28) = 6.94960798375172e-7; STATES(:,29) = 5.55636826398253e-8; STATES(:,30) = 2.85143702125325e-8; STATES(:,31) = 1.59832806123435e-6; CONSTANTS(:,25) = 25.1; CONSTANTS(:,26) = 140; STATES(:,32) = 10.5731241425458; STATES(:,33) = 1.96760342050475e-6; STATES(:,34) = 0.0119443135223679; STATES(:,35) = 0.0109545368437155; STATES(:,36) = 0.973782548650071; STATES(:,37) = 0.000126882921013389; STATES(:,38) = 0.00318975045717667; CONSTANTS(:,27) = 2.45; CONSTANTS(:,28) = 1992.335; CONSTANTS(:,29) = 1.38; CONSTANTS(:,30) = 87.5; CONSTANTS(:,31) = 0.1; CONSTANTS(:,32) = 0.35; CONSTANTS(:,33) = 9.26; CONSTANTS(:,34) = 1; CONSTANTS(:,35) = 40; CONSTANTS(:,36) = 0.022488; CONSTANTS(:,37) = 0.017512; CONSTANTS(:,38) = 0.034; CONSTANTS(:,39) = 0.012; CONSTANTS(:,40) = 0.0009; CONSTANTS(:,41) = 0.0001; CONSTANTS(:,42) = 1; CONSTANTS(:,43) = 4; CONSTANTS(:,44) = 3.50000e-12; CONSTANTS(:,45) = power(CONSTANTS(:,16), (CONSTANTS(:,2) - 310.000)./10.0000); CONSTANTS(:,46) = power(CONSTANTS(:,18), (CONSTANTS(:,2) - 297.000)./10.0000); CONSTANTS(:,47) = power(CONSTANTS(:,19), (CONSTANTS(:,2) - 297.000)./10.0000); CONSTANTS(:,48) = power(CONSTANTS(:,22), (CONSTANTS(:,2) - 297.000)./10.0000); CONSTANTS(:,49) = power(CONSTANTS(:,23), (CONSTANTS(:,2) - 297.000)./10.0000); CONSTANTS(:,50) = 40633.0; CONSTANTS(:,51) = 11.0000; CONSTANTS(:,52) = 1.10000; CONSTANTS(:,53) = 1.00000.*power(CONSTANTS(:,27), (CONSTANTS(:,2) - 297.000)./10.0000); CONSTANTS(:,54) = CONSTANTS(:,45).*0.0100000; CONSTANTS(:,55) = 1.90580./CONSTANTS(:,46); CONSTANTS(:,56) = 4.78030./CONSTANTS(:,48); CONSTANTS(:,57) = 763.756./CONSTANTS(:,49); CONSTANTS(:,58) = 4.00000.*CONSTANTS(:,51); CONSTANTS(:,59) = 3.00000.*CONSTANTS(:,51); CONSTANTS(:,60) = 2.00000.*CONSTANTS(:,51); CONSTANTS(:,61) = 1.00000.*CONSTANTS(:,51); CONSTANTS(:,62) = 4.00000.*CONSTANTS(:,52); CONSTANTS(:,63) = 3.00000.*CONSTANTS(:,52); CONSTANTS(:,64) = 2.00000.*CONSTANTS(:,52); CONSTANTS(:,65) = 1.00000.*CONSTANTS(:,52); if (isempty(STATES)), warning('Initial values for states not set');, end end function [RATES, ALGEBRAIC] = computeRates(VOI, STATES, CONSTANTS) 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) = 1.00000./(1.00000+exp( - (STATES(:,1)+60.5000)./5.30000)); RATES(:,17) = (ALGEBRAIC(:,3) - STATES(:,17))./CONSTANTS(:,55); ALGEBRAIC(:,5) = 1.00000./(1.00000+exp( - (STATES(:,1)+43.0000)./17.3600)); RATES(:,19) = (ALGEBRAIC(:,5) - STATES(:,19))./CONSTANTS(:,56); ALGEBRAIC(:,6) = 1.00000./(1.00000+exp((STATES(:,1) - 44.9000)./12.0096)); RATES(:,20) = (ALGEBRAIC(:,6) - STATES(:,20))./CONSTANTS(:,57); ALGEBRAIC(:,4) = 1.00000./(1.00000+exp((STATES(:,1)+75.5000)./4.00000)); ALGEBRAIC(:,11) = ( 0.381170.*(8.60000+ 14.7000.*exp(( - (STATES(:,1)+50.0000).*(STATES(:,1)+50.0000))./900.000)))./CONSTANTS(:,47); RATES(:,18) = (ALGEBRAIC(:,4) - STATES(:,18))./ALGEBRAIC(:,11); ALGEBRAIC(:,25) = CONSTANTS(:,53).*0.554320.*exp( - 0.0990740+ 0.0364410.*STATES(:,1)); ALGEBRAIC(:,29) = CONSTANTS(:,53).*0.000525480.*exp( - 0.0691020+ 0.00319450.*STATES(:,1)); ALGEBRAIC(:,57) = STATES(:,33)+STATES(:,34)+STATES(:,35)+STATES(:,36)+STATES(:,37)+STATES(:,38); RATES(:,36) = ( - ALGEBRAIC(:,29).*STATES(:,36))./ALGEBRAIC(:,57)+( ALGEBRAIC(:,25).*STATES(:,35))./ALGEBRAIC(:,57); ALGEBRAIC(:,21) = CONSTANTS(:,53).*3.15660.*exp(0.363520+ 0.0771930.*STATES(:,1)); ALGEBRAIC(:,33) = CONSTANTS(:,53).*1.44960.*exp( - 0.156600+ 0.0583530.*STATES(:,1)); RATES(:,35) = ( - (ALGEBRAIC(:,33)+ALGEBRAIC(:,25)).*STATES(:,35))./ALGEBRAIC(:,57)+( ALGEBRAIC(:,21).*STATES(:,34))./ALGEBRAIC(:,57)+( ALGEBRAIC(:,29).*STATES(:,36))./ALGEBRAIC(:,57); ALGEBRAIC(:,17) = CONSTANTS(:,53).*2.39100.*exp( - 13.3350 - 0.252890.*STATES(:,1)); ALGEBRAIC(:,37) = CONSTANTS(:,53).*1.53290.*exp(0.00931930+ 0.0410750.*STATES(:,1)); ALGEBRAIC(:,49) = CONSTANTS(:,53).*1.90460.*exp( - 2.48400+ 0.0204060.*STATES(:,1)); ALGEBRAIC(:,53) = CONSTANTS(:,53).*0.000216880.*exp( - 0.0634380+ 0.00466830.*STATES(:,1)); RATES(:,34) = ( - (ALGEBRAIC(:,21)+ALGEBRAIC(:,37)+ALGEBRAIC(:,53)).*STATES(:,34))./ALGEBRAIC(:,57)+( ALGEBRAIC(:,17).*STATES(:,33))./ALGEBRAIC(:,57)+( ALGEBRAIC(:,33).*STATES(:,35))./ALGEBRAIC(:,57)+( ALGEBRAIC(:,49).*STATES(:,37))./ALGEBRAIC(:,57); ALGEBRAIC(:,13) = CONSTANTS(:,53).*0.120520.*exp( - 9.60280+ 0.0830250.*STATES(:,1)); ALGEBRAIC(:,41) = CONSTANTS(:,53).*1.61640.*exp(0.307630+ 0.00605350.*STATES(:,1)); RATES(:,33) = ( - (ALGEBRAIC(:,17)+ALGEBRAIC(:,41)).*STATES(:,33))./ALGEBRAIC(:,57)+( ALGEBRAIC(:,37).*STATES(:,34))./ALGEBRAIC(:,57)+( ALGEBRAIC(:,13).*STATES(:,37))./ALGEBRAIC(:,57); ALGEBRAIC(:,8) = CONSTANTS(:,53).*0.00392390.*exp(2.67930+ 0.00614680.*STATES(:,1)); ALGEBRAIC(:,45) = CONSTANTS(:,53).*0.0277350.*exp(0.0514900 - 0.0468650.*STATES(:,1)); RATES(:,38) = ( - ALGEBRAIC(:,8).*STATES(:,38))./ALGEBRAIC(:,57)+( ALGEBRAIC(:,45).*STATES(:,37))./ALGEBRAIC(:,57); RATES(:,37) = ( - (ALGEBRAIC(:,13)+ALGEBRAIC(:,45)+ALGEBRAIC(:,49)).*STATES(:,37))./ALGEBRAIC(:,57)+( ALGEBRAIC(:,8).*STATES(:,38))./ALGEBRAIC(:,57)+( ALGEBRAIC(:,53).*STATES(:,34))./ALGEBRAIC(:,57)+( ALGEBRAIC(:,41).*STATES(:,33))./ALGEBRAIC(:,57); ALGEBRAIC(:,18) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(CONSTANTS(:,15)./STATES(:,2)); ALGEBRAIC(:,22) = CONSTANTS(:,14).*STATES(:,3).*(STATES(:,1) - ALGEBRAIC(:,18)); ALGEBRAIC(:,26) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./( 2.00000.*CONSTANTS(:,3))).*log(CONSTANTS(:,15)./STATES(:,2)); ALGEBRAIC(:,30) = CONSTANTS(:,17).*STATES(:,17).*STATES(:,18).*(STATES(:,1) - ALGEBRAIC(:,26)); ALGEBRAIC(:,58) = ( CONSTANTS(:,28).*( exp(( CONSTANTS(:,32).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(STATES(:,32), 3.00000).*CONSTANTS(:,15) - 2.50000.*exp(( (CONSTANTS(:,32) - 1.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))).*power(CONSTANTS(:,26), 3.00000).*STATES(:,2)))./( (power(CONSTANTS(:,30), 3.00000)+power(CONSTANTS(:,26), 3.00000)).*(CONSTANTS(:,29)+CONSTANTS(:,15)).*(1.00000+ CONSTANTS(:,31).*exp(( (CONSTANTS(:,32) - 1.00000).*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))); RATES(:,2) = (( - 1.00000e-15.*((ALGEBRAIC(:,22)+ALGEBRAIC(:,30)) - ALGEBRAIC(:,58).*2.00000))./( 2.00000.*CONSTANTS(:,44).*CONSTANTS(:,3)))./(1.00000+( CONSTANTS(:,42).*CONSTANTS(:,38).*CONSTANTS(:,40).*power(STATES(:,2), CONSTANTS(:,42) - 1.00000))./power(power(STATES(:,2), CONSTANTS(:,42))+CONSTANTS(:,40), 2.00000)+( CONSTANTS(:,43).*CONSTANTS(:,39).*CONSTANTS(:,41).*power(STATES(:,2), CONSTANTS(:,43) - 1.00000))./power(power(STATES(:,2), CONSTANTS(:,43))+CONSTANTS(:,41), 2.00000)); ALGEBRAIC(:,50) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,26)./STATES(:,32)); ALGEBRAIC(:,54) = CONSTANTS(:,25).*STATES(:,33).*(STATES(:,1) - ALGEBRAIC(:,50)); ALGEBRAIC(:,61) = ( CONSTANTS(:,33).*CONSTANTS(:,21).*STATES(:,32))./( (CONSTANTS(:,21)+CONSTANTS(:,34)).*(CONSTANTS(:,35)+STATES(:,32)).*(1.00000+ 0.124500.*exp(( - 0.100000.*STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2)))+ 0.0353000.*exp(( - STATES(:,1).*CONSTANTS(:,3))./( CONSTANTS(:,1).*CONSTANTS(:,2))))); ALGEBRAIC(:,64) = (( CONSTANTS(:,1).*CONSTANTS(:,2))./CONSTANTS(:,3)).*log(CONSTANTS(:,26)./STATES(:,32)); ALGEBRAIC(:,67) = CONSTANTS(:,36).*(STATES(:,1) - ALGEBRAIC(:,64)); RATES(:,32) = ( ( - 1.00000./1.00000e+15).*(ALGEBRAIC(:,54)+ALGEBRAIC(:,67)+ ALGEBRAIC(:,58).*3.00000+ ALGEBRAIC(:,61).*3.00000))./( CONSTANTS(:,44).*CONSTANTS(:,3)); ALGEBRAIC(:,1) = piecewise({VOI>= CONSTANTS(:,5).*0.00000&VOI<= CONSTANTS(:,5).*1.00000, CONSTANTS(:,5).*0.00000 , VOI>= CONSTANTS(:,5).*1.00000&VOI<= CONSTANTS(:,5).*2.00000, CONSTANTS(:,5).*1.00000 , VOI>= CONSTANTS(:,5).*2.00000&VOI< CONSTANTS(:,5).*3.00000, CONSTANTS(:,5).*2.00000 , VOI>= CONSTANTS(:,5).*3.00000&VOI< CONSTANTS(:,5).*4.00000, CONSTANTS(:,5).*3.00000 }, 0.00000); ALGEBRAIC(:,9) = VOI - ALGEBRAIC(:,1); ALGEBRAIC(:,14) = piecewise({ALGEBRAIC(:,9)= CONSTANTS(:,5).*0.00000&VOI<= CONSTANTS(:,5).*1.00000, CONSTANTS(:,5).*0.00000 , VOI>= CONSTANTS(:,5).*1.00000&VOI<= CONSTANTS(:,5).*2.00000, CONSTANTS(:,5).*1.00000 , VOI>= CONSTANTS(:,5).*2.00000&VOI< CONSTANTS(:,5).*3.00000, CONSTANTS(:,5).*2.00000 , VOI>= CONSTANTS(:,5).*3.00000&VOI< CONSTANTS(:,5).*4.00000, CONSTANTS(:,5).*3.00000 }, 0.00000); ALGEBRAIC(:,9) = VOI - ALGEBRAIC(:,1); ALGEBRAIC(:,14) = piecewise({ALGEBRAIC(:,9) req_length strout = strin(1:req_length); else strout = [strin, blanks(req_length - insize)]; end end