Comprehensive modeling of the spatiotemporal distribution of PET tracer uptake in solid tumors based on the convection-diffusion-reaction equation

M. Soltani, M. Sefidgar, M. E. Casey, R. L. Wahl, R. M. Subramaniam, A. Rahmim

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations

Abstract

In this paper, the 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 properties such as pressure. 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 latter. 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 compute pressure and velocity distributions. Subsequently, we applied a comprehensive convection-diffusion-reaction equation to accurately model distribution of PET tracer uptake, specifically FMISO in this work, within solid tumors. The abovementioned use of partial differential equations (PDEs), beyond ordinary differential equations (ODEs) as commonly invoked in tracer kinetic modeling, enables simultaneous modeling of tracer distribution over both time and space. For different angiogenetic structures, the intravascular pressure and interstitial pressure were elaborately calculated across the domain of interest, and used as input to model tracer distribution. The results can be utilized to comprehensively assess the impact of various parameters on the spatiotemporal distribution of PET tracers.

Original languageEnglish (US)
Title of host publication2014 IEEE Nuclear Science Symposium and Medical Imaging Conference, NSS/MIC 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781479960972
DOIs
Publication statusPublished - Mar 10 2016
EventIEEE Nuclear Science Symposium and Medical Imaging Conference, NSS/MIC 2014 - Seattle, United States
Duration: Nov 8 2014Nov 15 2014

Other

OtherIEEE Nuclear Science Symposium and Medical Imaging Conference, NSS/MIC 2014
CountryUnited States
CitySeattle
Period11/8/1411/15/14

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Radiology Nuclear Medicine and imaging

Cite this

Soltani, M., Sefidgar, M., Casey, M. E., Wahl, R. L., Subramaniam, R. M., & Rahmim, A. (2016). Comprehensive modeling of the spatiotemporal distribution of PET tracer uptake in solid tumors based on the convection-diffusion-reaction equation. In 2014 IEEE Nuclear Science Symposium and Medical Imaging Conference, NSS/MIC 2014 [7430813] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/NSSMIC.2014.7430813