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Model Mathematics

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Component: environment

Component: actCycA

\frac{d}{d time} (actCycA) = (k_sap + k_sapp TF_E) mass + (V_di + k_dia) Tri_A - ((V_da + k_asa freeCKI) actCycA)

Component: actCycB

\frac{d}{d time} (actCycB) = V_sb mass + V_25 (CycB - (Tri_B + actCycB)) + (k_dib + V_di) (CycB - (preMPF + actCycB)) - ((V_db + V_wee + k_asb freeCKI) actCycB)

Component: actCycE

\frac{d}{d time} (actCycE) = (k_sep + k_sepp TF_E) mass + (V_di + k_die) Tri_E - ((V_de + k_ase freeCKI) actCycE)

Component: CycA

\frac{d}{d time} (CycA) = (k_sap + k_sapp TF_E) mass - (V_da CycA)

Component: CycB

\frac{d}{d time} (CycB) = V_sb mass - (V_db CycB)

Component: CycE

\frac{d}{d time} (CycE) = (k_sep + k_sepp TF_E) mass - (V_de CycE)

Component: CycD

CycD = CycD_0 mass

Component: Cdc20_A

\frac{d}{d time} (Cdc20_A) = \frac{k_a20 APCP (Cdc20_T - Cdc20_A)}{J_a20 + Cdc20_T - Cdc20_A} - ((\frac{k_i20}{J_i20 + Cdc20_A} + k_d20) Cdc20_A)

Component: Cdc20_T

\frac{d}{d time} (Cdc20_T) = \frac{k_s20p + k_s20pp {actCycB}^{n}}{{J_20}^{n} + {actCycB}^{n}} - (k_d20 Cdc20_T)

Component: APCP

\frac{d}{d time} (APCP) = \frac{k_aAPC actCycB (1 - APCP)}{J_aAPC + 1 - APCP} - (\frac{k_iAPC APCP}{J_iAPC + APCP})

Component: Tri_A

Tri_A = CycA - actCycA

Component: Tri_E

Tri_E = CycE - actCycE

Component: freeCKI

freeCKI = CKI - (Tri_B + Tri_A + Tri_E)

Component: Cdh1

\frac{d}{d time} (Cdh1) = \frac{(k_ah1p + k_ah1pp Cdc14) (1 - Cdh1)}{J_ah1 + 1 - Cdh1} - (\frac{(k_ih1p + k_ih1pp actCycA + k_ih1ppp actCycB + k_ih1pppp actCycE + k_ih1ppppp CycD) Cdh1}{J_ih1 + Cdh1})

Component: mass

\frac{d}{d time} (mass) = mu mass (1 - (\frac{mass}{maxmass}))

Component: V_atf

V_atf = k_atfp + k_atfpp actCycA + k_atfppp actCycE + k_atfpppp CycD

Component: TF_E

A1 = V_atf A2 = k_itfp + k_itfpp actCycB + k_itfppp actCycA A3 = J_atf A4 = J_itf TF_E = \frac{2 A4 A1}{A2 + (- A1) + A3 A2 + A4 A1 + \sqrt{{(A2 + (- A1) + A3 A2 + A4 A1)}^{2} - (4 (A2 - A1) A4 A1)}}

Component: V_de

V_de = k_dep + k_depp actCycE + k_deppp actCycA + k_depppp actCycB

Component: V_da

V_da = k_dap + k_dapp Cdc20_A + k_dappp Cdc20_T

Component: TF_I

A1 = k_afi Cdc14 A2 = k_ifip + k_ifipp actCycB A3 = J_afi A4 = J_ifi Cdc14 = Cdc20_A TF_I = \frac{2 A4 A1}{A2 + (- A1) + A3 A2 + A4 A1 + \sqrt{{(A2 + (- A1) + A3 A2 + A4 A1)}^{2} - (4 (A2 - A1) A4 A1)}}

Component: V_si

V_si = k_sip + k_sipp TF_I

Component: V_di

V_di = \frac{k_dip + k_dipp actCycA + k_dippp actCycB + k_dipppp actCycE + k_dippppp CycD}{1 + \frac{Cdc14}{J_14di}}

Component: preMPF

\frac{d}{d time} (preMPF) = V_wee (CycB - preMPF) - ((V_25 + V_db) preMPF)

Component: Tri_B

\frac{d}{d time} (Tri_B) = k_asb (CycB - Tri_B) freeCKI - ((k_dib + V_db + V_di) Tri_B)

Component: CKI

\frac{d}{d time} (CKI) = V_si - (V_di CKI)

Component: TF_B

A1 = k_afb actCycB A2 = k_ifb A3 = J_afb A4 = J_ifb TF_B = \frac{2 A4 A1}{A2 + (- A1) + A3 A2 + A4 A1 + \sqrt{{(A2 + (- A1) + A3 A2 + A4 A1)}^{2} - (4 (A2 - A1) A4 A1)}}

Component: V_sb

V_sb = k_sbp + k_sbpp TF_B

Component: V_db

V_db = k_dbp + k_dbpp Cdh1 + k_dbppp Cdc20_A

Component: Wee1

A1 = k_aweep + k_aweepp Cdc14 A2 = k_iwee actCycB A3 = J_awee A4 = J_iwee Wee1 = \frac{2 A4 A1}{A2 + (- A1) + A3 A2 + A4 A1 + \sqrt{{(A2 + (- A1) + A3 A2 + A4 A1)}^{2} - (4 (A2 - A1) A4 A1)}}

Component: V_wee

V_wee = k_weep + k_weepp Wee1

Component: Cdc25

A1 = k_a25 actCycB A2 = k_i25p + k_i25pp Cdc14 A3 = J_a25 A4 = J_i25 Cdc25 = \frac{2 A4 A1}{A2 + (- A1) + A3 A2 + A4 A1 + \sqrt{{(A2 + (- A1) + A3 A2 + A4 A1)}^{2} - (4 (A2 - A1) A4 A1)}}

Component: V_25

V_25 = k_25p + k_25pp Cdc25

Component: kinetic_parameters

Source: Derived from workspace Csilkasz-Nagy 2006 at changeset 1dd4d0a48cec.

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