Title
A method for modeling oxygen diffusion in an agent-based model with application to host-pathogen infection.
Abstract
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. Presented in figure 1 is the evolution of the diffusion profiles of a containment granuloma over time.
Year
DOI
Venue
2014
10.1109/EMBC.2014.6943590
EMBC
Keywords
Field
DocType
diffusion,cellular biophysics,diseases,microorganisms,finite difference method,modeling oxygen diffusion,host tissue,agent based model,mycobacterium tuberculosis,chronic phase response,host-pathogen infection,mtb infection,finite difference methods,granuloma formation,courant-friedrichs-lewy condition,floating point field,steady state,mathematical model,computational modeling
Agent-based model,Biological system,Computer science,Simulation,Electronic engineering,Finite difference method,Granuloma formation,Steady state,Approximate solution,Diffusion equation,Oxygen diffusion
Conference
Volume
ISSN
Citations 
2014
1557-170X
0
PageRank 
References 
Authors
0.34
1
3
Name
Order
Citations
PageRank
Cheryl L Sershen100.68
Steven J. Plimpton226422.82
Elebeoba E May301.69