Model Mathematics

Component based math viewer is available

Component: output

Component: clamp_para

Component: PASMC

Component: Cai

\frac{d}{d t} (c_i) = ((J_VOCCi - J_NCXi - J_SERCAi) + J_CICRi - J_PMCAi) + J_leaki

Component: Casr

\frac{d}{d t} (s_i) = J_SERCAi - J_CICRi - J_leaki

Component: JCICRi

J_CICRi = C \frac{{s_i}^{2}}{{s_i}^{2} + {s_c}^{2}} \frac{{c_i}^{4}}{{c_i}^{4} + {c_c}^{4}}

Component: JCli

J_Cli = G_Cl (v_i - v_Cl)

Component: JKi

J_Ki = G_Ki w_i (v_i - v_K) \frac{d}{d t} (w_i) = lambda (K_activationi - w_i) K_activationi = \frac{{(c_i + c_w)}^{2}}{{(c_i + c_w)}^{2} + beta ⅇ^{\frac{- (v_i - v_Ca3)}{R_K}}}

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: JNCXi

J_NCXi = G_NCX \frac{c_i}{c_i + c_NCX} (v_NCX - v_i)

Component: JNKAi

J_NKAi = C_NKA \frac{K_out}{K_mK + K_out}

Component: JPMCAi

J_PMCAi = D c_i (1 + \frac{v_i - v_d}{R_d})

Component: JSERCAi

J_SERCAi = B \frac{{c_i}^{2}}{{c_i}^{2} + {c_b}^{2}}

Component: JVOCCi

J_VOCCi = G_Ca \frac{v_Ca1 - v_i}{1 + ⅇ^{\frac{v_Ca2 - v_i}{R_Ca}}}

Component: Jleaki

J_leaki = L s_i

Component: Vm

\frac{d}{d t} (v_i) = gamma ((- J_NKAi - J_Cli) + 2 J_VOCCi + J_NCXi - J_Ki)

Component: Para

Component: X_clamp_protocol

X = \{\begin{matrix} X_Holding if time < t_ss \\ X_Test if time \geq t_ss \land time < t_act + t_ss \\ X_Holding otherwise \end{matrix}

Model Mathematics

Component: output

Component: clamp_para

Component: PASMC

Component: Cai

Component: Casr

Component: JCICRi

Component: JCli

Component: JKi

Component: E_Na

Component: E_Ca

Component: E_K

Component: Nernst_potential

Component: Nernst_potential

Component: Nernst_potential

Component: JNCXi

Component: JNKAi

Component: JPMCAi

Component: JSERCAi

Component: JVOCCi

Component: Jleaki

Component: Vm

Component: Para

Component: X_clamp_protocol

Component: time_ms

Component: time_s