# Model Mathematics

### Component: c

$ddtimec= J_IPR - J_serca + delta ⁢ J_in - J_pm$

### Component: ce

$ddtimece= gamma ⁢ J_serca - J_IPR$

### Component: J_IPR

$J_IPR= kf ⁢ 0.1 ⁢ O + 0.9 ⁢ A 4.0 + g1 ⁢ ce - c$

### Component: R

$ddtimeR= phi_2_ ⁢ O - phi_2 ⁢ p ⁢ R + phi_1 ⁢ R + l_2_ + k_1_ ⁢ I_1$

### Component: O

$ddtimeO= phi_2 ⁢ p ⁢ R - phi_2_ + phi_4 + 1 ⁢ phi_3 ⁢ O + phi_4_ ⁢ A + k_3_ ⁢ S$

### Component: I_1

$ddtimeI_1= phi_1 ⁢ R - k_1_ + l_2_ ⁢ I_1$

### Component: I_2

$ddtimeI_2= phi_5 ⁢ A - k_1_ + l_2_ ⁢ I_2$

### Component: S

$ddtimeS= 1 ⁢ phi_3 ⁢ O - k_3_ ⁢ S$

### Component: A

$ddtimeA= phi_4 ⁢ O - phi_4_ ⁢ A + phi_5 ⁢ A + k_1_ + l_2_ ⁢ I_2$

### Component: IPR_parameters

$phi_1 = k_1 ⁢ L_1 + l_2 ⁢ c L_1 + c ⁢ 1.0 + L_1 L_3 phi_2 = k_2 ⁢ L_3 + l_4 ⁢ c L_3 + c ⁢ 1.0 + L_3 L_1 phi_2_ = k_2_ + l_4_ ⁢ c 1.0 + c L_5 phi_3 = k_3 ⁢ L_5 c + L_5 phi_4 = k_4 ⁢ L_5 + l_6 ⁢ c c + L_5 phi_4_ = L_1 ⁢ k_4_ + l_6_ c + L_1 phi_5 = k_1 ⁢ L_1 + l_2 ⁢ c c + L_1$

### Component: J_serca

$J_serca= Vs ⁢ c Ks + c ⁢ 1.0 ce$

### Component: J_pm

$J_pm= Vp ⁢ c 2.0 Kp 2.0 + c 2.0$

### Component: J_in

$J_in= alpha1 + alpha2 ⁢ p$
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