Title | ||
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A method for modeling oxygen diffusion in an agent-based model with application to host-pathogen infection. |
Abstract | ||
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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 |
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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 Sershen | 1 | 0 | 0.68 |
Steven J. Plimpton | 2 | 264 | 22.82 |
Elebeoba E May | 3 | 0 | 1.69 |