# Model Mathematics

### Component: m

$ddtime m = kM_plus ⁢ CaMtotal - m ⁢ x 3.0 - kM_minus ⁢ m$$dmdt=kM_plus⁢CaMtotal-m⁢x3-kM_minus⁢m$

### Component: z

$ddtime z = kN_plus ⁢ CaNtotal - z ⁢ m - kN_minus ⁢ z$$dzdt=kN_plus⁢CaNtotal-z⁢m-kN_minus⁢z$

### Component: h

$ddtime h = d ⁢ phi ⁢ 1.0 z ⁢ 1.0 - h - f ⁢ 1.0 - phi ⁢ 1.0 z ⁢ h$

### Component: phi

$phi = 1.0 1.0 + L0 ⁢ lamda ⁢ y N + 1.0 - 1.0 lamda ⁢ y - 1.0 ⁢ y - 1.0 y N + 1.0 - 1.0$

### Component: psi

$psi = 1.0 + L0 y N + 1.0 - 1.0 y - 1.0 + L0 ⁢ lamda ⁢ y N + 1.0 - 1.0 lamda ⁢ y - 1.0$

### Component: x

$ddtime x = Vx ⁢ Caex Kx + Caex - h ⁢ psi ⁢ 1.0 z ⁢ V1 ⁢ x K1 + x + h ⁢ psi ⁢ 1.0 z ⁢ V2 ⁢ x K2 + x + 1.0 1.0 + kc ⁢ z ⁢ V3 ⁢ x K3 + x + alpha ⁢ x$$dxdt=Vx⁢CaexKx+Caex-h⁢psi⁢1z⁢V1⁢xK1+x+h⁢psi⁢1z⁢V2⁢xK2+x+11+kc⁢z⁢V3⁢xK3+x+alpha⁢x$

### Component: model_parameters

$L0 = 10.0 - N 2.0 y = 1.0 z$
Source
Derived from workspace Cui, Kaandorp, 2006 at changeset a1009eb25b24.
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