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

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.
Authors:
 [1] ;  [1] ;  [1]
  1. Univ. of Houston, Houston, TX (United States)
Publication Date:
OSTI Identifier:
1237360
Report Number(s):
SAND--2015-0080J
Journal ID: ISSN 1557-170X; 558360
Grant/Contract Number:
AC04-94AL85000
Type:
Accepted Manuscript
Journal Name:
IEEE Engineering in Medicine and Biology. Annual Conference
Additional Journal Information:
Journal Volume: 2014; Conference: Engineering in Medicince and Biology Society (EMBC), 2014 36th Annual Conference, Chicago, IL (United States), 26-30 Aug 2014; Journal ID: ISSN 1557-170X
Publisher:
IEEE
Research Org:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org:
USDOE National Nuclear Security Administration (NNSA)
Country of Publication:
United States
Language:
English
Subject:
59 BASIC BIOLOGICAL SCIENCES