Model Mathematics

Component: environment

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