Mixture theory modeling for characterizing solute transport in breast tumor tissues

Table 1 Input parameters for mixture theory model. Values are for different types of cancer tissues adopted from the literature. References are listed in the last column of the table

Solute Dependent Parameters
Solute Molecular Weight (kDa), Mw	0.1	3.0	10.0	40.0	70.0
Hydrodynamic Diameter (nm)	0.69	1.6	5.46	13.2	14.4	[20,21,22]
Reflection coefficient, σ	0.00025	0.00025	0.02500	0.08600	0.14000	[13, 14, 23, 24]
Solute Permeability coefficient, P_d (× 10^− 8 m/s)	800	174	70	33	30	[13, 14, 25,26,27]
Diffusion Coefficient (× 10⁻¹¹ m²/s), D_f	89.6	17.0	9.6	7.8	3.6	[28,29,30,31]
Retardation factor, R_F	1.10	1.10	1.07	0.94	0.84	[29,30,31,32,33]
Initial solute concentration (mol/m³), Co	6.11	0.20	0.08	0.02	0.01	[28]
Flow Parameters
Pressure drop along blood vessel (Pa), dP			2394		[34,35,36,37]
Hydrostatic pressure in arteriole (Pa), Par			4394		[34,35,36,37]
Boundary tissue pressure (Pa), Po			2700		[38,39,40,41]
Osmotic Pressure gradient (Pa)			2500		[13, 14, 20, 34]
Hydraulic conductivity (× 10^− 15) (m²/Pa-s)			400		[13, 14, 39, 42]
Hydraulic permeability (× 10^− 10) (m/Pa-s)			10		[13, 14, 39]
Tissue porosity, ∅			0.4		[39, 43,44,45]
Geometrical Parameters
Length of microvessels (mm), l			1		[46, 47]
Diameter of microvessels (μm), d			10		[46, 48, 49]
Diameter of tissue (μm), D			200		[46, 48, 50,51,52]

ISSN: 1754-1611