Multiscale modeling of fluid transport in tumors.
A model for fluid flow through the leaky neovasculature and porous interstitium of a solid tumor is developed. A network of isolated capillaries is analyzed in the limit of small capillary radius, and analytical expressions for the hydraulic conductivities and fractional leakage coefficients derived. This model is then homogenized to give a continuum description in terms of the vascular density. The resulting equations comprise a double porous medium with coupled Darcy flow through the interstitium and vasculature.
Chapman
S Jonathan
SJ
Mathematical Institute, University of Oxford, 24-29 St Giles', Oxford OX1 3LB, UK. chapman@maths.ox.ac.uk
Shipley
Rebecca J
RJ
Jawad
Rossa
R
D000818:Animals; D002196:Capillaries / Q000033:anatomy & histology / Q000378:metabolism; D002199:Capillary Permeability; D004058:Diffusion; D005110:Extracellular Space / Q000378:metabolism; D018056:Hemorheology; D006801:Humans; D008955:Models, Cardiovascular; D009369:Neoplasms / Q000098:blood supply* / Q000378:metabolism; D009389:Neovascularization, Pathologic / Q000503:physiopathology; D016062:Porosity; D012039:Regional Blood Flow