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Table 2 Parameters depending on cells’ type and IF

From: The role of cell lysis and matrix deposition in tumor growth modeling

Parameter

Symbol

Value

Unit

Density of the three fluid phases (α = h, t and l)

ρ α

1,000

kg/m3

Dynamic viscosity of IF [22]

μ l

1 × 10−3

Pa s

Dynamic viscosity of TC [22]

\(\mu_{0}^{t}\)

36

Pa s

Dynamic viscosity of HC [22]

\(\mu_{0}^{h}\)

36

Pa s

Adhesion of TC [22]

ψ t

0

Pa/m

Adhesion of HC [22]

ψ h

0

Pa/m

Critical mass fraction of oxygen [15, 17]

\(\omega_{crit}^{{\overline{nl} }}\)

6.0 × 10−6

Growth coefficient of tumor cells [15, 17]

\(\gamma_{growth}^{t}\)

1.3 × 10−2

kg/(m3 s)

Necrosis coefficient [15, 17]

\(\gamma_{necrosis}^{t}\)

1.0 × 10−2

kg/(m3 s)

Consumption related to growth [15, 17]

\(\gamma_{growth}^{{\overline{nl} }}\)

5 × 10−4

kg/(m3 s)

Consumption related to metabolism [15, 17]

\(\gamma_{0}^{{\overline{nl} }}\)

6 × 10−5

kg/(m3 s)

HC-IF interfacial tension [22]

σ hl

72

mN/m

TC-HC interfacial tension [22]

σ th

36

mN/m

TC-IF interfacial tension

σ tl

108

mN/m

Lysis parameter

λ

0.001