Authors: Madjid Soltani Mostafa Sefidgar Hossein Bazmara Michael E Casey Rathan M Subramaniam Richard L Wahl Arman Rahmim
Publish Date: 2016/12/05
Volume: 31, Issue: 2, Pages: 109-124
Abstract
Distribution of PET tracer uptake is elaborately modeled via a general equation used for solute transport modeling This model can be used to incorporate various transport parameters of a solid tumor such as hydraulic conductivity of the microvessel wall transvascular permeability as well as interstitial space parameters This is especially significant because tracer delivery and drug delivery to solid tumors are determined by similar underlying tumor transport phenomena and quantifying the former can enable enhanced prediction of the latterWe focused on the commonly utilized FDG PET tracer First based on a mathematical model of angiogenesis the capillary network of a solid tumor and normal tissues around it were generated The coupling mathematical method which simultaneously solves for blood flow in the capillary network as well as fluid flow in the interstitium is used to calculate pressure and velocity distributions Subsequently a comprehensive spatiotemporal distribution model SDM is applied to accurately model distribution of PET tracer uptake specifically FDG in this work within solid tumorsThe different transport mechanisms namely convention and diffusion from vessel to tissue and in tissue are elaborately calculated across the domain of interest and effect of each parameter on tracer distribution is investigated The results show the convection terms to have negligible effect on tracer transport and the SDM can be solved after eliminating these terms
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