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Table 1 Summary of model tumor growth simulations across all conditions.

From: Non-stem cancer cell kinetics modulate solid tumor progression

Symmetric division frequency

p s = 1%

p s = 10%

Migration rate (cell widths/day)

μ = 0

μ = 5

μ = 10

μ = 15

μ = 0

μ = 5

μ = 10

μ = 15

Optimum ρmax (Figs. 3-4)

0

5

7

8

0

3

5

5

tcritical

(weeks)

1303 ± 19

115 ± 4

95 ± 5

85 ± 6

130 ± 1

23 ± 1

17 ± 1

14 ± 1

CSC Fraction at optimum ρmax

73%

1.8%

0.5%

0.3%

76%

10%

3.1%

3.0%

ρmax pairs(Figs. 5-6)

n/a

2--8

3--10

5--10

n/a

2--5

3--7

1--9

ρmax pairs

Sizes at tcritical

 

1.7 × 104

0.86 × 104

2.1 × 104

 

4.0 × 104

3.8 × 104

1.9 × 104

CSC

Fractions

 

13%--0.37%

6.5%--0.10%

1.6%--0.10%

 

17%--3.4%

9.5%--1.1%

30%--0.32%

Times to 5 × 104 cells (weeks)

 

140--172

124--196

102--128

 

25--25

18--19

18--21

  1. Comparison of tumor growth parameters across symmetric division frequency probabilities (ps) and migration speeds (μ). For each value of migration rate and probability of symmetric CSC division a certain value for the proliferative capacity ρmax displayed the fastest expansion to the critical size of 5 × 104 cells. We defined the time at which that ρmax value reached that size threshold as tcritical (simulation weeks, mean ± SEM, n = 10). Examination of the population sizes for the other ρmax values at tcritical revealed that pairs of ρmax values on either side of the optimum had achieved similar population sizes by tcritical, but in some cases would require distinctly different lengths of time to reach 5 × 104 cells.