A method for modeling oxygen diffusion in an agent-based model with application to host-pathogen infection

Journal Article · Thu Jan 01 00:00:00 EST 2015 · IEEE Engineering in Medicine and Biology. Annual Conference

DOI:https://doi.org/10.1109/EMBC.2014.6943590· OSTI ID:1237360

Plimpton, Steven J. ^[1]; Sershen, Cheryl L. ^[1]; May, Elebeoba E. ^[1]

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1. Univ. of Houston, Houston, TX (United States)

This paper describes a method for incorporating a diffusion field modeling oxygen usage and dispersion in a multi-scale model of Mycobacterium tuberculosis (Mtb) infection mediated granuloma formation. We implemented this method over a floating-point field to model oxygen dynamics in host tissue during chronic phase response and Mtb persistence. The method avoids the requirement of satisfying the Courant-Friedrichs-Lewy (CFL) condition, which is necessary in implementing the explicit version of the finite-difference method, but imposes an impractical bound on the time step. Instead, diffusion is modeled by a matrix-based, steady state approximate solution to the diffusion equation. Moreover, presented in figure 1 is the evolution of the diffusion profiles of a containment granuloma over time.

• Research Organization: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA)
• Grant/Contract Number: AC04-94AL85000
• OSTI ID: 1237360
• Report Number(s): SAND--2015-0080J; 558360
• Journal Information: IEEE Engineering in Medicine and Biology. Annual Conference, Journal Name: IEEE Engineering in Medicine and Biology. Annual Conference Vol. 2014; ISSN 1557-170X
• Publisher: IEEE
• Country of Publication: United States
• Language: English

Related Subjects

59 BASIC BIOLOGICAL SCIENCES