# Model Mathematics

### Component: MP

$ddtime MP = vsP ⁢ BN n KAP n + BN n - vmP ⁢ MP KmP + MP + kdmp ⁢ MP$

### Component: MC

$ddtime MC = vsC ⁢ BN n KAC n + BN n - vmC ⁢ MC KmC + MC + kdmc ⁢ MC$

### Component: MB

$ddtime MB = vsB ⁢ KIB m KIB m + RN m - vmB ⁢ MB KmB + MB + kdmb ⁢ MB$

### Component: MR

$ddtime MR = vsR ⁢ BN h KAR h + BN h - vmR ⁢ MR KmR + MR + kdmr ⁢ MR$

### Component: PC

$ddtime PC = ksP ⁢ MP + V2P ⁢ PCP Kdp + PCP + k4 ⁢ PCC - V1P ⁢ PC Kp + PC + k3 ⁢ PC ⁢ CC + kdn ⁢ PC$

### Component: CC

$ddtime CC = ksC ⁢ MC + V2C ⁢ CCP Kdp + CCP + k4 ⁢ PCC - V1C ⁢ CC Kp + CC + k3 ⁢ PC ⁢ CC + kdnc ⁢ CC$

### Component: RC

$ddtime RC = ksR ⁢ MR + k10 ⁢ RN - k9 ⁢ RC + vdRC ⁢ RC Kd + RC + kdn ⁢ RC$

### Component: PCP

$ddtime PCP = V1P ⁢ PC Kp + PC - V2P ⁢ PCP Kdp + PCP + vdPC ⁢ PCP Kd + PCP + kdn ⁢ PCP$

### Component: CCP

$ddtime CCP = V1C ⁢ CC Kp + CC - V2C ⁢ CCP Kdp + CCP + vdCC ⁢ CCP Kd + CCP + kdn ⁢ CCP$

### Component: PCC

$ddtime PCC = V2PC ⁢ PCCP Kdp + PCCP + k3 ⁢ PC ⁢ CC + k2 ⁢ PCN - V1PC ⁢ PCC Kp + PCC + k4 ⁢ PCC + k1 ⁢ PCC + kdn ⁢ PCC$

### Component: PCN

$ddtime PCN = V4PC ⁢ PCNP Kdp + PCNP + k1 ⁢ PCC + k8 ⁢ IN - V3PC ⁢ PCN Kp + PCN + k2 ⁢ PCN + k7 ⁢ BN ⁢ PCN + kdn ⁢ PCN$

### Component: RN

$ddtime RN = k9 ⁢ RC - k10 ⁢ RN + vdRN⁢ RN Kd + RN + kdn ⁢ RN$

### Component: PCCP

$ddtime PCCP = V1PC ⁢ PCC Kp + PCC - V2PC ⁢ PCCP Kdp + PCCP + vdPCC ⁢ PCCP Kd + PCCP + kdn ⁢ PCCP$

### Component: PCNP

$ddtime PCNP = V3PC ⁢ PCN Kp + PCN - V4PC ⁢ PCNP Kdp + PCNP + vdPCN ⁢ PCNP Kd + PCNP + kdn ⁢ PCNP$

### Component: BC

$ddtime BC = V2B ⁢ BCP Kdp + BCP + k6 ⁢ BN + ksB ⁢ MB - V1B ⁢ BC Kp + BC + k5 ⁢ BC + kdn ⁢ BC$

### Component: BCP

$ddtime BCP = V1B ⁢ BC Kp + BC - V2B ⁢ BCP Kdp + BCP + vdBC ⁢ BCP Kd + BCP + kdn ⁢ BCP$

### Component: BN

$ddtime BN = V4B ⁢ BNP Kdp + BNP + k5 ⁢ BC + k8 ⁢ IN - V3B ⁢ BN Kp + BN + k6 ⁢ BN + k7 ⁢ BN ⁢ PCN + kdn ⁢ BN$

### Component: BNP

$ddtime BNP = V3B ⁢ BN Kp + BN - V4B ⁢ BNP Kdp + BNP + vdBN ⁢ BNP Kd + BNP + kdn ⁢ BNP$

### Component: IN

$ddtime IN = k7 ⁢ BN ⁢ PCN - k8 ⁢ IN + vdIN ⁢ IN Kd + IN + kdn ⁢ IN$

### Component: model_parameters

Source
Derived from workspace Leloup, Goldbeter, 2003 at changeset 6de424a124d8.
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