Table 4 Values of estimated parameters for Mouse 1 and 2 and Hypothesis 1 using the 2D level set method.

From: Mathematical Analysis of Glioma Growth in a Murine Model

Mouse

Section

Slice

D (μm2/h)

ρ (h−1)

velocity (μm/h)

Error

1

Transverse

1

463.09

0.027164

3.6967

103.23

2

554.98

0.02052

3.425

99.92

3

3074.8

0.015377

5.4098

80.24

4

2923.1

0.010395

3.8589

82.02

Sagittal

1

305.51

0.0063098

1.2091

127.85

2

626.77

0.0011284

0.3342

119.51

Coronal

1

91.762

0.10424

2.8026

94.81

2

336.48

0.034115

2.7293

91.14

2

Transverse

1

534.97

0.017231

3.0134

75.99

2

2955.1

0.011975

4.0672

71.22

3

3171.1

0.01068

3.7663

74.35

4

3261.4

0.0074994

2.8306

73.75

5

598.27

0.0084187

1.4412

67.44

6

558.54

0.009343

1.3758

64.72

7

1284.4

0.000037942

2.2519

71.19

8

530.47

0.013664

2.21

68.79

Sagittal

1

10984

0.0080234

4.2752

91.78

2

1656.4

0.0037629

1.6703

87.20

3

837.34

0.0070626

1.9906

73.21

4

3098.5

0.0050553

2.2666

78.46

5

83.08

0.070895

2.5196

107.28

6

525

0.015

2.7293

115.82

7

111.77

0.11002

3.7248

105.85

Coronal

1

8317.9

0.004686

1.9781

84.79

2

11120

0.007827

4.0281

79.72

3

370.53

0.031518

3.6641

97.47

  1. Minimization is performed with respect to equation (8).