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Bidomain Model for ...
Bidomain Model for Axon Bundles with Random Geometry
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- Pettersson, Irina, 1981 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,Chalmers tekniska högskola,Chalmers University of Technology
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- Rybalko, Antonina, 1973 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, Tillämpad matematik och statistik,Department of Mathematical Sciences, Applied Mathematics and Statistics,Chalmers tekniska högskola,Chalmers University of Technology
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- Rybalko, Volodymyr, 1974 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, Analys och sannolikhetsteori,Department of Mathematical Sciences, Analysis and Probability Theory,Chalmers tekniska högskola,Chalmers University of Technology
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(creator_code:org_t)
- 2023
- 2023
- English.
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In: Springer Proceedings in Mathematics and Statistics. - 2194-1009 .- 2194-1017. - 9783031358708
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Abstract
Subject headings
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- In this work a homogenized model for signal propagation in fascicles comprising many identical bundled axons is obtained. We consider the case when the axons are circular cylinders, and their centers in the cross section of the bundle are randomly distributed. For the action potential, we assume the FitzHugh-Nagumo dynamics on the axons’ membranes. Combining the tools of stochastic homogenization and the method of monotone operators, we derive a macroscopic bidomain model describing the action potential in the fascicle.
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- Axon bundle
- Bidomain model
- FitzHugh-Nagumo model
- Random geometry
- Axon bundle
Publication and Content Type
- ref (subject category)
- kon (subject category)
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