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- W70115666 abstract "Tumour blood flow plays a critical role in tumour growth and cancer therapies.Computational fluid dynamics is an efficient method to study blood behaviourby modelling fluid flow through numerical simulations. A mathematical modelis developed to study the blood flow through a three-dimensional permeablevascular network embedded in a solid tumour, and its transvascular movementand spread within tumour interior in context with cancer therapies. Thevasculature is described by the parametric equations in terms of vessel centrelines. The flow through each tumour vessel is approximated with the leadingcomponent in the longitudinal direction of the vessel, and its governingequation becomes an ordinary differential equation based on the parameterof the parametric equation for the vessel centre line. The pressure continuityand mass conservation conditions are imposed at every junction within tumourvascular network. The interstitial flow is described by the Darcy’s law whichis converted into the Laplace equation. The coupling effect between the flowsthrough tumour vasculature and within tumour interstitial due to the vascularpermeability is described by the Starling’s law. A coupling mathematicalmodel is then developed. Based on mass conservation, a differential equationfor pressures on both sides of vascular surface is obtained. Transforming theLaplace equation into the boundary-integral form by using the Green’s functionoffers another equation linking the pressures inside and outside vessels. The numerical procedure is developed, and the discretised differential and integralequations are solved by finite difference method and boundary elementmethod respectively. The model is applied to investigate how different types ofphysical parameters and special characters of tumour vasculature affect tumourblood flow. Finally, an approximation model by ignoring the term with smallvalue of the fully coupling model is developed, and its validity and simulationefficiency are examined." @default.
- W70115666 created "2016-06-24" @default.
- W70115666 creator A5060393594 @default.
- W70115666 date "2011-03-28" @default.
- W70115666 modified "2023-09-23" @default.
- W70115666 title "Numerical simulation of blood flow through permeable vascular network embedded in tumour porous interstitium" @default.
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