Mathematical modeling of tumor-associated macrophage interactions with the cancer microenvironment

Mahlbacher, Grace; Curtis, Louis T.; Lowengrub, John; Frieboes, Hermann B.

doi:10.1186/s40425-017-0313-7

Table 2 Description of macrophage-associated parameters

From: Mathematical modeling of tumor-associated macrophage interactions with the cancer microenvironment

Parameter	Description	Value	Reference
Physiological Parameters
% of macrophages per tumor total cells		10%	Calibrated to match [11]
TEM-driven tumor neovasculature increase		4-fold	[12]
TEM portion of differentiated macrophages		55–70%	[13]
M2/M1 ratio in highly metastatic tumors		2.06	[47]
M2/M1 ratio in moderately metastatic tumors		0.77	[47]
Vessel Radius-Associated Parameters Related to TEM Effects
k _s	Natural shrinking tendency of vessel radius	2.24	[39]
k _PC	Response rate of radius to tumor pressure	0.76	[39]
Macrophage-Associated Parameters Related to Tumor Growth
λ _M	Tumor native proliferation rate (day⁻¹)	0.5	Calibrated to match [11]
λ _OL	Recovery rate of quiescent oxygen level	0.05(^*)	Calibrated to match [36]
λ _OT	M2 induced lowering viable O₂ threshold rate	200 /s	Calibrated to match [36]
λ _rec	Recovery rate of λ_M2to zero	0.1(^*)	Calibrated to match [36]
λ _F	M2 induced proliferation rate	1000 /s	Calibrated to match [36]
λ _NO	M1 nitric oxide induced death rate	3 /s	Calibrated to match [8]
G _N	Cell degradation rate in the necrotic region	0.3(^*)	Calibrated to match [11]
Macrophage Differentiation Scaling Coefficients
k _M1	Differentiation of M1 macrophage	20	[36]
k _M2	Differentiation of M2 macrophage	20	[36]
k _T2	Differentiation of TEM	8.21	[13]
k _Ang2	Effect of Ang2 on TEM differentiation	0.95	Calibrated to match [1, 13]
k _T2M2	Effect of IL-10 on M2 differentiation	0.006	Calibrated to match [47]
Macrophage Movement Scaling Coefficients
M _O	Effect of oxygen on macrophage movement	1000	[11]
M _P	Effect of oxygen on macrophage movement	350	[11]
M _C	Chemotactic macrophage movement	500	[11]
M _Ang2	Effect of Ang2 on TEM movement	1000	Calibrated to match [16]

(^*) Value is non-dimensionalized by the diffusivity of oxygen [68] (1 × 10⁻⁵ cm² s⁻¹)

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