# Model Mathematics

### Component: clamp_para

$KCl=XClo=147+KCl$

### Component: Cai

$ddtc_i=J_IP3i+J_VOCCi-J_NCXi-J_SERCAi+J_CICRi-J_PMCAi+J_leaki$

### Component: Casr

$ddts_i=J_SERCAi-J_CICRi-J_leaki$

### Component: IP3

$ddtI_i=J_PLCagonisti+J_PLC_delta_i-J_degradi$

### Component: JCICRi

$J_CICRi=C⁢s_i2s_i2+s_c2⁢c_i4c_i4+c_c4$

### Component: JCli

$J_Cli=G_Cl⁢v_i-v_Cl$

### Component: Nernst_potential

$E=R⁢Tz⁢F⁢ln⁡X_oX_i$

### Component: Nernst_potential

$E=R⁢Tz⁢F⁢ln⁡X_oX_i$

### Component: Nernst_potential

$E=R⁢Tz⁢F⁢ln⁡X_oX_i$

### Component: Nernst_potential

$E=R⁢Tz⁢F⁢ln⁡X_oX_i$

### Component: JIP3i

$J_IP3i=F_IP3⁢I_i2K_r2+I_i2$

### Component: JKi

$J_Ki=G_Ki⁢w_i⁢v_i-v_Kddtw_i=lambda⁢K_activationi-w_iK_activationi=c_i+c_w2c_i+c_w2+beta⁢ⅇ-v_i-v_Ca3R_K$

### Component: E_NaComp

$E=R⁢Tz⁢F⁢ln⁡X_oX_i$

### Component: E_CaComp

$E=R⁢Tz⁢F⁢ln⁡X_oX_i$

### Component: E_KComp

$E=R⁢Tz⁢F⁢ln⁡X_oX_i$

### Component: E_ClComp

$E=R⁢Tz⁢F⁢ln⁡X_oX_i$

### Component: JNCXi

$J_NCXi=G_NCX⁢c_ic_i+c_NCX⁢v_NCX-v_i$

### Component: JNKAi

$J_NKAi=F_NKA$

### Component: JPLCdeltai

$J_PLC_delta_i=E⁢c_i2K_Ca2+c_i2$

### Component: JPMCAi

$J_PMCAi=D⁢c_i⁢1+v_i-v_dR_d$

### Component: JSERCAi

$J_SERCAi=B⁢c_i2c_i2+c_b2$

### Component: JVOCCi

$J_VOCCi=G_Ca⁢v_Ca1-v_i1+ⅇv_Ca2-v_iR_Ca$

$J_degradi=k⁢I_i$

### Component: Jleaki

$J_leaki=L⁢s_i$

### Component: Vm

$ddtv_i=gamma⁢-J_NKAi-J_Cli+2⁢J_VOCCi+J_NCXi-J_Ki$

### Component: X_clamp_protocol

$X=X_Holdingiftime

### Component: time_s

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