ItikBanksTumor

Systems · Continuous · Chem bio systems

Dimension: 3

Equations

\[ \begin{aligned} \dot{y_{0}} &= - a_{12} y_{0} y_{1} - a_{13} y_{0} y_{2} + y_{0} \left(1 - y_{0}\right) \\ \dot{y_{1}} &= - a_{21} y_{0} y_{1} + r_{2} y_{1} \left(1 - y_{1}\right) \\ \dot{y_{2}} &= - a_{31} y_{0} y_{2} - d_{3} y_{2} + \frac{r_{3} y_{0} y_{2}}{k_{3} + y_{0}} \end{aligned} \]

Parameters

parameter	default
a12	1
a13	2.5
a21	1.5
a31	0.2
d3	0.5
k3	1
r2	0.6
r3	4.5

Usage

import tsdynamics as ts

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

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