Table 2 Simulation parameters θ for spotted patterns in colon cancer tumors

κ _W >0

Rate of nonlinear Wnt production

4

0.442

0.951

2.44

0.399

0.315

\(\kappa _{W_{I}} > 0\)

Rate of Wnt inhibitor production

1

27.4

0.484

0.161

0.486

0.188

μ _W ≥0

Decay rate of Wnt

2

0.642

0.179

0.791

0.545

0.936

\(\mu _{W_{I}} \geq 0\)

Decay rate of Wnt inhibitor

4

2.36

1.30

1.10

0.569

1.064

a≥0

Constant of inhibition

10⁻⁸

0.4006

0.416

0.0384

0.00491

0.0284

b≥0

Constant of inhibition by W _I

1

0.0125

7.94

20.05

0.616

0.640

S _W ≥0

Rate of constitutive Wnt production

1

0.00167

0.00351

17.75

0.00005

0.00009

1≥D _W >0

Diffusion coefficient of Wnt

0.01

0.0180

0.00322

0.0955

0.0336

0.0810

1≥N>0

Nutrient level

1

0.818

0.897

0.984

0.959

0.970