title: Effect of fluid friction on interstitial fluid flow coupled with blood flow through solid tumor microvascular network.
abstract: A solid tumor is investigated as porous media for fluid flow simulation. Most of the studies use Darcy model for porous media. In Darcy model, the fluid friction is neglected and a few simplified assumptions are implemented. In this study, the effect of these assumptions is studied by considering Brinkman model. A multiscale mathematical method which calculates fluid flow to a solid tumor is used in this study to investigate how neglecting fluid friction affects the solid tumor simulation. The mathematical method involves processes such as blood flow through vessels and solute and fluid diffusion, convective transport in extracellular matrix, and extravasation from blood vessels. The sprouting angiogenesis model is used for generating capillary network and then fluid flow governing equations are implemented to calculate blood flow through the tumor-induced capillary network. Finally, the two models of porous media are used for modeling fluid flow in normal and tumor tissues in three different shapes of tumors. Simulations of interstitial fluid transport in a solid tumor demonstrate that the simplifications used in Darcy model affect the interstitial velocity and Brinkman model predicts a lower value for interstitial velocity than the values that Darcy model predicts.
authors.affiliation: Department of Engineering and Technology, IKI University, Qazvin 34148-96818, Iran.
authors.forename: Mostafa
authors.initials: M
authors.lastname: Sefidgar
authors.affiliation: Department of Mechanical Engineering, K. N. T. University of Technology, Tehran 19991-43344, Iran ; Division of Nuclear Medicine, Department of Radiology and Radiological Science, Johns Hopkins University School of Medicine, Baltimore, MD 21218-2608, USA.
authors.forename: M
authors.initials: M
authors.lastname: Soltani
authors.affiliation: Electrical & Computer Department, Ryerson University, Toronto, ON, Canada.
authors.forename: Kaamran
authors.identifier: 0000-0002-9835-7897
authors.initials: K
authors.lastname: Raahemifar
authors.affiliation: Department of Mechanical Engineering, K. N. T. University of Technology, Tehran 19991-43344, Iran.
authors.forename: Hossein
authors.initials: H
authors.lastname: Bazmara
mesh_terms: D000465:Algorithms; D001783:Blood Flow Velocity; D003198:Computer Simulation; D004058:Diffusion; D045604:Extracellular Fluid / Q000502:physiology; D017276:Friction; D006439:Hemodynamics; D006801:Humans; D057446:Hydrodynamics; D008833:Microcirculation; D008962:Models, Theoretical; D009369:Neoplasms / Q000473:pathology*; D009389:Neovascularization, Pathologic; D016062:Porosity; D011312:Pressure