# Model Mathematics

### Component: N

$ddtimeN= epsilon ⁢ vsN - vdN ⁢ N KdN + N + kc ⁢ N ⁢ KIF j KIF j + F j$

### Component: Na

$ddtimeNa= epsilon ⁢ kc ⁢ N ⁢ KIF j KIF j + F j - VdNa ⁢ Na KdNa + Na + Vtr$$Vtr= kt1 ⁢ Na - kt2 ⁢ Nan$

### Component: Nan

$ddtimeNan= epsilon ⁢ Vtr - VdNan ⁢ Nan KdNan + Nan$

### Component: MF

$ddtimeMF= epsilon ⁢ vsFK ⁢ Nan p KA p + Nan p - vmF ⁢ MF KdMF + MF$$vsFK= vsF ⁢ KIG1 KIG1 + K$

### Component: F

$ddtimeF= epsilon ⁢ ksF ⁢ MF - vdF ⁢ F KdF + F$

### Component: K

$ddtimeK= theta ⁢ V1$

### Component: B

$ddtimeB= theta ⁢ vsB + VP + V2 - VK ⁢ AK Kt + kd1 ⁢ B$

### Component: Bp

$ddtimeBp= theta ⁢ VK ⁢ AK Kt - VP + kd2 ⁢ Bp$

### Component: BN

$ddtimeBN=- theta ⁢ V2$

### Component: MAx

$ddtimeMAx= theta ⁢ v0 + vMB ⁢ BN n KaB n + BN n + vMXa ⁢ Xa m KaXa m + Xa m - vmd ⁢ MAx Kmd + MAx$

### Component: A

$ddtimeA= theta ⁢ ksAx⁢ MAx + V1 - vdAx ⁢ A KdAx + A$

### Component: Wnt_parameters

$AK = Kt - K$$V1 = d1 ⁢ AK - a1 ⁢ A ⁢ K$$V2 = kt4 ⁢ BN - kt3 ⁢ B$$VK= VMK ⁢ KID KID + D ⁢ B K1 + B$$VP= VMP ⁢ Bp K2 + Bp$

### Component: Rasa

$ddtimeRasa= eta ⁢ VaRas - VdRas$

### Component: ERKa

$ddtimeERKa= eta ⁢ VaErk - VdErk$

### Component: Xa

$ddtimeXa= eta ⁢ VaX - VdX$

### Component: MDusp

$ddtimeMDusp= eta ⁢ VsMDusp - VdMDusp$

### Component: Dusp

$ddtimeDusp= eta ⁢ ksDusp ⁢ MDusp - vdDusp ⁢ Dusp KdDusp + Dusp$

### Component: FGF_parameters

$Rasi = Rast - Rasa$$VaRas = VMaRas ⁢ Fgf r KaFgf r + Fgf r ⁢ Rasi KaRas + Rasi$$VdRas = VMdRas ⁢ Rasa KdRas + Rasa$$ERKi = ERKt - ERKa$$VaErk = VMaErk ⁢ Rasa Rast ⁢ ERKi KaErk + ERKi$$VdErk = kcDusp ⁢ Dusp ⁢ ERKa KdErk + ERKa$$Xi = Xt - Xa$$VaX = VMaX ⁢ ERKa ERKt ⁢ Xi KaX + Xi$$VdX = VMdX ⁢ Xa KdX + Xa$$VsMDusp = VMsMDusp ⁢ Xa q KaMDusp q + Xa q$$VdMDusp = VMdMDusp ⁢ MDusp KdMDusp + MDusp$

### Component: model_parameters

Source
Derived from workspace Goldbeter, Pourquie, 2008 at changeset 1de828a08739.
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