Model Mathematics

Component based math viewer is available

Component: Nai

\frac{d}{d time} (Nai) = Nai_rate

Component: Vstim_para

Component: control_para

Component: outputs

Component: Unit_uSMC

Component: K_1

K_1 = \frac{{Cai}^{n_M}}{{Ca_halfMLCK}^{n_M} + {Cai}^{n_M}} 1

Component: E_Na

Component: E_Ca

Component: E_K

Component: Nernst_potential

E = \frac{R T}{z F} \ln (\frac{X_o}{X_i})

Component: Nernst_potential

E = \frac{R T}{z F} \ln (\frac{X_o}{X_i})

Component: Nernst_potential

E = \frac{R T}{z F} \ln (\frac{X_o}{X_i})

Component: CB4HM

K_4 = \frac{K_3}{4} K_5 = K_2 K_6 = K_1 norm = M + Mp + AM + AMp \frac{d}{d time} (M) = \frac{(- K_1) M}{norm} + \frac{K_2 Mp}{norm} + \frac{K_7 AM}{norm} \frac{d}{d time} (Mp) = \frac{K_4 AMp}{norm} + \frac{K_1 M}{norm} - (\frac{(K_2 + K_3) Mp}{norm}) \frac{d}{d time} (AM) = \frac{K_5 AMp}{norm} - (\frac{(K_6 + K_7) AM}{norm}) \frac{d}{d time} (AMp) = \frac{K_3 Mp}{norm} + \frac{K_6 AM}{norm} - (\frac{(K_4 + K_5) AMp}{norm}) stress = AMp + AM phosphorylation = AMp + Mp

Component: J_VOCC

rho_vCa = \frac{1}{1 + ⅇ^{\frac{V_Cahalf - V}{K_Cahalf}}} J_VOCC = \frac{- I_VOCC}{2 V_cell F}

Component: J_CaPump

J_CaPump = \frac{(- V_pmax) {Cai}^{n}}{{K_ph}^{n} + {Cai}^{n}}

Component: J_NaCa

V_mNaCa = 3 E_Na - (2 E_Ca) J_NaCa = \frac{G_NaCa Cai}{Cai + K_NaCa} (V - V_mNaCa)

Component: Cai

\frac{d}{d time} (Cai) = J_VOCC + inhPump J_CaPump + J_NaCa

Component: Ionic_currents

I = g_max PO (V - E)

Component: sPulse_protocol_ms

V = \{\begin{matrix} V_actHolding if time < t_ss \\ V_actTest if time \geq t_ss \land time < t_act + t_ss \\ V_actHolding otherwise \end{matrix}

Component: sPulse_protocol_s

V = \{\begin{matrix} V_actHolding if time < t_ss \\ V_actTest if time \geq t_ss \land time < t_act + t_ss \\ V_actHolding otherwise \end{matrix}

Component: mPulse_protocol_ms

stimPeriod = t_act + t_intp V = \{\begin{matrix} V_actHolding if time < t_ss \\ V_actTest if time \geq t_ss \land (time - t_ss) mod stimPeriod < t_act \land time ≦ t_ss + stimPeriod np \\ V_actHolding otherwise \end{matrix}

Component: mPulse_protocol_s

stimPeriod = t_act + t_intp t = time - t_ss - (stimPeriod ⌊ \frac{time - t_ss}{stimPeriod} ⌋) V = \{\begin{matrix} V_actHolding if time ≦ t_ss \\ V_actTest if time > t_ss \land t ≦ t_act \land time ≦ t_ss + stimPeriod np \\ V_actHolding otherwise \end{matrix}

Model Mathematics

Component: Nai

Component: Vstim_para

Component: control_para

Component: outputs

Component: Unit_uSMC

Component: K_1

Component: E_Na

Component: E_Ca

Component: E_K

Component: Nernst_potential

Component: Nernst_potential

Component: Nernst_potential

Component: CB4HM

Component: J_VOCC

Component: J_CaPump

Component: J_NaCa

Component: Cai

Component: Ionic_currents

Component: sPulse_protocol_ms

Component: sPulse_protocol_s

Component: mPulse_protocol_ms

Component: mPulse_protocol_s

Component: time_ms

Component: time_s

Component: constants

Component: model_para

Component: initials