Figure 1
From: Modeling a 3-D multiscale blood-flow and heat-transfer framework for realistic vascular systems
Proposed resistance model of Hodneland et al.37. The arterial tree and venous tree is modeled as 1D pipe flow network. The resistance offered by each of these tree elements is calculated using the Hagen–Poiseuille equation (Eq. (1)). Each voxel has two compartments—arterial and venous to represent tissue, capillary bed, and capillary perfusion. The blood perfusion in tissue voxels is 3D. The inter-voxel compartmental flow is modeled using Darcy’s equation (Eq. (2)) and estimation of tissue permeability obtained from the literature. Blood perfusion from arterial compartment to venous compartment in a voxel is calculated using Eq. (3). The unresolved arterial and venous tree represents the Dirac distribution function (Eq. (6)) used to couple 1D flow in resolved network with 3D perfusion in tissue voxels.
