Table 2 Model parameters

From: SimuCell3D: three-dimensional simulation of tissue mechanics with cell polarization

Symbol

Default dynamic

Default overdamped

Measured

Unit

Dimension

Description

Ref.

Cell volume parameters

ρ

1,000

1,000

1,045–1,099

kg m3

M/L3

Mass density

77

K

2,500

2,500

2,250

Pa

M/LT2

Bulk modulus

78

pmax

2,500

2,500

300–2,200

Pa

M/LT2

Max. internal net pressure

79,80,81

Vmin

3.7 × 10−16

3.7 × 10−16

2.5–3.7 × 10−16

m3

L3

Min. volume (apoptosis)

64,82

Vmax

1.4 × 10−15

1.4 × 10−15

0.9–1.3 × 10−15

m3

L3

Max. volume (cell division)

64,82

g

10−11

10−11

0.1–1.8 × 10−20

m3 s−1

L3/T

Volumetric growth rate

83,84

Cell surface parameters

γ

0.001

0.001

0.0005–0.0025

N m−1

M/T2

Surface tension

81,85,86

kb

2 × 10−18

2 × 10−18

1–2 × 10−18

J

ML2/T2

Bending stiffness

87

ka

10−15

10−15

J

ML2/T2

Area elasticity modulus

Q0

250

250

300

Target isoparametric ratio

64

ξ

109

109

Pa m−1

M/L2T2

Repulsion strength

ω

109

109

Pa m−1

M/L2T2

Adhesion strength

Hmax

5 × 106

5 × 106

m−1

1/L

Max. coupling curvature

Numerical parameters

lmin

2 × 10−7

2 × 10−7

m

L

Minimum edge length

c

2 × 10−7

2 × 10−7

m

L

Contact cutoff distance

ζ

2.5 × 10−10

3 × 10−9

kg s−1

M/T

Viscous damping coefficient

Δt

10−7

10−7

s

T

Time step

  1. Default parameter values are given for the two types of equation of motion implemented in SimuCell3D (dynamic versus overdamped). In the parameter dimension, M represents mass, L length and T time. Default values produce a typical tissue growth scenario.