Table 5.

Mobility, Motilities, and Taxis Coefficients

Dimensionless Parameter	Biological Representation	Scaling Factor*	Value Assigned
$\stackrel{\mathbf{\sim }}{\mathit{M}}$	Mobility of cell species	ℳ	0.1
${\stackrel{\mathbf{\sim }}{\mathit{k}}}_{\mathit{\alpha }}$	Motility of the solid phase (cells)	${\overline{\overline{k}}}_{\alpha }$	Computed†
${\stackrel{\mathbf{\sim }}{\mathit{k}}}_{\mathit{T}}$	Motility of the tumor cell phase	${\overline{\overline{k}}}_{\alpha }$	10.0
${\stackrel{\mathbf{\sim }}{\mathit{k}}}_{\mathit{E}}$	Motility of the ECM phase	${\overline{\overline{k}}}_{\alpha }$	10.0
${\stackrel{\mathbf{\sim }}{\mathit{k}}}_{\mathit{H}}$	Motility of the healthy host cell phase	${\overline{\overline{k}}}_{\alpha }$	10.0
${\stackrel{\mathbf{\sim }}{\mathit{k}}}_{\mathit{\beta }}$	Motility of the fluid phase (interstitial fluid)	${\overline{\overline{k}}}_{\beta }$	1.0
${\stackrel{\mathbf{\sim }}{\mathit{\chi }}}_{\mathit{c}\mathit{h}\mathit{e}\mathbf{,}\mathit{B}\mathit{n}\mathit{E}}$	Chemotaxis coefficient of ECs	${ℒ}^2/(\mathcal{T}ta{f}_{\mathit{sat}})$	1.0
${\stackrel{\mathbf{\sim }}{\mathit{\chi }}}_{\mathit{h}\mathit{a}\mathit{p}\mathbf{,}\mathit{B}\mathit{n}\mathit{E}}$	Haptotaxis coefficient of ECs	${ℒ}^2/(\mathcal{T}{\stackrel{\sim }{\varphi }}_{\alpha })$	1.0
${\stackrel{\mathbf{\sim }}{\mathit{\chi }}}_{\mathit{h}\mathit{a}\mathit{p}\mathbf{,}\mathit{B}\mathit{n}\mathit{E}}^{\mathit{m}\mathit{i}\mathit{n}}$	Minimum haptotaxis coefficient of ECs	${ℒ}^2/(\mathcal{T}{\stackrel{\sim }{\varphi }}_{\alpha })$	1.0
${\stackrel{\mathbf{\sim }}{\mathit{\chi }}}_{\mathit{c}\mathit{h}\mathit{e}\mathbf{,}\mathit{L}\mathit{n}\mathit{E}}$	Chemotaxis coefficient of LECs	${ℒ}^2/(\mathcal{T}ta{f}_{\mathit{sat}})$	1.0
${\stackrel{\sim }{\chi }}_{\mathit{h}\mathit{a}\mathit{p}\mathbf{,}\mathit{L}\mathit{n}\mathit{E}}$	Haptotaxis coefficient of LECs	${ℒ}^2/(\mathcal{T}{\stackrel{\sim }{\varphi }}_{\alpha })$	1.0
${\stackrel{\mathbf{\sim }}{\mathit{\chi }}}_{\mathit{h}\mathit{a}\mathit{p}\mathbf{,}\mathit{L}\mathit{n}\mathit{E}}^{\mathit{m}\mathit{i}\mathit{n}}$	Minimum haptotaxis coefficient of LECs	${ℒ}^2/(\mathcal{T}{\stackrel{\sim }{\varphi }}_{\alpha })$	1.0

^*For example, ${\stackrel{\sim }{\chi }}_{\mathit{che},\mathit{BnE}}={\chi }_{\mathit{che},\mathit{BnE}}\mathcal{T}ta{f}_{\mathit{sat}}/{ℒ}^2$.

^†The solid phase motility ${\stackrel{\sim }{k}}_{\alpha }$ is computed from ${\stackrel{\sim }{k}}_E$, ${\stackrel{\sim }{k}}_T$, and ${\stackrel{\sim }{k}}_H$ using Eq. (3.7.25) by replacing ${\stackrel{\sim }{D}}_i$ with ${\stackrel{\sim }{k}}_i$.

Nondimensionalized chemotaxis and heptotaxis coefficients are set to 1 as an initial value in this study. A wider range of values will be tested and analyzed in future work.