CaTwoPlus

Systems · Continuous · Chem bio systems

Dimension: 3

Equations

\[ \begin{aligned} \dot{y_{0}} &= V_{0} + V_{1} \beta - \frac{Vm_{2} y_{0}^{2}}{K_{2}^{2} + y_{0}^{2}} + \frac{Vm_{3} y_{0}^{m} y_{1}^{2} y_{2}^{4}}{\left(Ka^{4} + y_{2}^{4}\right) \left(Ky^{2} + y_{1}^{2}\right) \left(Kz^{m} + y_{0}^{m}\right)} - k y_{0} + kf y_{1} \\ \dot{y_{1}} &= \frac{Vm_{2} y_{0}^{2}}{K_{2}^{2} + y_{0}^{2}} - \frac{Vm_{3} y_{0}^{m} y_{1}^{2} y_{2}^{4}}{\left(Ka^{4} + y_{2}^{4}\right) \left(Ky^{2} + y_{1}^{2}\right) \left(Kz^{m} + y_{0}^{m}\right)} - kf y_{1} \\ \dot{y_{2}} &= V_{4} \beta - \frac{Vm_{5} y_{0}^{n} y_{2}^{p}}{\left(K_{5}^{p} + y_{2}^{p}\right) \left(Kd^{n} + y_{0}^{n}\right)} - eps y_{2} \end{aligned} \]

Parameters

parameter	default
K2	0.1
K5	0.3194
Ka	0.1
Kd	1
Ky	0.3
Kz	0.6
V0	2
V1	2
V4	3
Vm2	6
Vm3	30
Vm5	50
beta	0.65
eps	13
k	10
kf	1
m	2
n	4
p	1

Usage

import tsdynamics as ts

sys = ts.CaTwoPlus()
traj = sys.integrate(final_time=100.0, dt=0.01)

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