Collective tumor cell migration in the presence of fibroblasts

. Author manuscript; available in PMC: 2022 Jun 22.

Published in final edited form as: J Biomech. 2019 Dec 19;100:109568. doi: 10.1016/j.jbiomech.2019.109568

Variable	Description
$α_{c}, α_{f}, α_{w}$	volume fraction cell, fibroblast, fluid
$S_{c}, S_{f}$	cell growth/death
$u_{c}, u_{f}, u_{w}$	cell, fibroblast, fluid velocity
$ρ, G, C, H$	ECM, protease, chemokine, TGF
$D_{G}, D_{C}, D_{H}$	diffusion coefficients
$ρ_{M}, G_{M}, C_{M}, H_{M}$	maximal concentrations
$P_{w}$	IF pressure
$Δ P_{c w}$	cell-cell stress
$Λ_{C}, Λ_{H}$	chemokine, TGF chemotaxis stress
${\hat{λ}}_{c}, {\hat{λ}}_{f}, {\hat{λ}}_{T}$	cell, fibroblast and total mobility
$T_{v}, T_{l}$	conductivity vascular/lymphatic wall
${\tilde{P}}_{v}^{}, {\tilde{P}}_{l}^{}$	effective vascular/lymphatic pressure
$Q_{v} = T_{v} ({\tilde{P}}_{v}^{*} - P_{w})$	produced fluid from vascular system
$Q_{l} = T_{l} (P_{w} - {\tilde{P}}_{l}^{*})$	lymphatic drainage
M_C, M_H	percentage absorption at lymphatics
λ₂₁, λ₂₂, λ₂₃, λ₂₄	production/consumption ECM
λ₃₁, λ₃₂, λ₃₃	production/consumption protease
λ₄₁, λ₄₂, λ₄₃, λ₄₄	production/consumption chemokine
λ₅₁, λ₅₂, λ₅₃, λ₅₄, λ₅₅	production/consumption TGF
v_G, v_C, v_H	exponents of decay rate terms