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Table 6 Parameter values that have been specified via locally fitting the vascular tumour growth model to experimental data extracted from [62]

From: Numerical simulation of vascular tumour growth under antiangiogenic treatment: addressing the paradigm of single-agent bevacizumab therapy with the use of experimental data

Cell line

Experimental group

λ 1

c

d

β

p

K 0

RMSE

FOO

 

day−1

mg/[day · mm3p · kg]

day−1 · mm−2

mm3p

-

mm3

mm3

 

HCT116

Control

0.2362

0.4884

0.0017

-

-

194.5946

121.7580

7.35 · 10−1

Treatment

0.2362

0.3881

0.0017

1

5.7777

0.6

74.8503

6.61 · 10−2

(15 mg/kg)

HCP40

Control

0.1603

0.5036

0.0013

-

-

223.3251

47.8814

1.30 · 10−1

Treatment

0.1233

0.0186

0.0013

0.9062

12.4022

17.2066

9.3102

8.76 · 10−5

(15 mg/kg)

HT29

Control

0.2138

0.5061

0.0017

-

-

111.5735

58.1716

2.17 · 10−1

Treatment

0.2138

0.3783

0.0017

1

6.2774

0.6

129.8810

1.5 · 10−3

(15 mg/kg)

HP40

Control

0.2966

0.5056

0.0022

-

-

134.0895

100.5007

3.77 · 10−1

Treatment

0.2966

0.4356

0.0022

1

4.5576

23.0272

93.2413

1.33 · 10−1

(15 mg/kg)

  1. First-order optimality (FOO) is a measure of the closeness of the solution to the optimum