dorsal/arxiv
View SchemaProbing the Effects of the Well-mixed Assumption on Viral Infection Dynamics
| Authors | Catherine Beauchemin |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0505043 |
| URL | https://arxiv.org/abs/q-bio/0505043 |
| DOI | 10.1016/j.jtbi.2006.03.014 |
| Journal | J. Theor. Biol., 242(2):464-477, 2006 |
Abstract
Viral kinetics have been extensively studied in the past through the use of spatially well-mixed ordinary differential equations describing the time evolution of the diseased state. However, emerging spatial structures such as localized populations of dead cells might adversely affect the spread of infection, similar to the manner in which a counter-fire can stop a forest fire from spreading. In a previous publication (Beauchemin et al., 2005), a simple 2-D cellular automaton model was introduced and shown to be accurate enough to model an uncomplicated infection with influenza A. Here, this model is used to investigate the effects of relaxing the well-mixed assumption. Particularly, the effects of the initial distribution of infected cells, the regeneration rule for dead epithelial cells, and the proliferation rule for immune cells are explored and shown to have an important impact on the development and outcome of the viral infection in our model.
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"abstract": "Viral kinetics have been extensively studied in the past through the use of\nspatially well-mixed ordinary differential equations describing the time\nevolution of the diseased state. However, emerging spatial structures such as\nlocalized populations of dead cells might adversely affect the spread of\ninfection, similar to the manner in which a counter-fire can stop a forest fire\nfrom spreading. In a previous publication (Beauchemin et al., 2005), a simple\n2-D cellular automaton model was introduced and shown to be accurate enough to\nmodel an uncomplicated infection with influenza A. Here, this model is used to\ninvestigate the effects of relaxing the well-mixed assumption. Particularly,\nthe effects of the initial distribution of infected cells, the regeneration\nrule for dead epithelial cells, and the proliferation rule for immune cells are\nexplored and shown to have an important impact on the development and outcome\nof the viral infection in our model.",
"arxiv_id": "q-bio/0505043",
"authors": [
"Catherine Beauchemin"
],
"categories": [
"q-bio.CB",
"q-bio.QM"
],
"doi": "10.1016/j.jtbi.2006.03.014",
"journal_ref": "J. Theor. Biol., 242(2):464-477, 2006",
"title": "Probing the Effects of the Well-mixed Assumption on Viral Infection Dynamics",
"url": "https://arxiv.org/abs/q-bio/0505043"
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