A Nearly Exact Discretization Scheme for the FitzHugh–Nagumo Model
In this paper, we apply the nearly exact discretization schemes to propose a discrete model for the FitzHugh–Nagumo model. We show that the discrete model obtained preserves the dynamics and the known features of the continuous FitzHugh–Nagumo model. We do so by performing distance-based and probabi...
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| Published in | Differential equations and dynamical systems Vol. 32; no. 1; pp. 253 - 275 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
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New Delhi
Springer India
01.01.2024
Springer Nature B.V |
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| ISSN | 0971-3514 0974-6870 |
| DOI | 10.1007/s12591-021-00569-5 |
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| Abstract | In this paper, we apply the nearly exact discretization schemes to propose a discrete model for the FitzHugh–Nagumo model. We show that the discrete model obtained preserves the dynamics and the known features of the continuous FitzHugh–Nagumo model. We do so by performing distance-based and probability-based similarity analysis. Additionally, a sensitivity analysis is also performed to analyze the most influential parameters of the discrete system. |
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| AbstractList | In this paper, we apply the nearly exact discretization schemes to propose a discrete model for the FitzHugh–Nagumo model. We show that the discrete model obtained preserves the dynamics and the known features of the continuous FitzHugh–Nagumo model. We do so by performing distance-based and probability-based similarity analysis. Additionally, a sensitivity analysis is also performed to analyze the most influential parameters of the discrete system. |
| Author | Kwessi, Eddy Edwards, Lloyd J. |
| Author_xml | – sequence: 1 givenname: Eddy orcidid: 0000-0001-5485-4034 surname: Kwessi fullname: Kwessi, Eddy email: ekwessi@trinity.edu organization: Department of Mathematics, Trinity University – sequence: 2 givenname: Lloyd J. surname: Edwards fullname: Edwards, Lloyd J. organization: Department of Biostatistics, University of Alabama at Birmingham |
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| Cites_doi | 10.1016/j.chaos.2019.109420 10.1017/S0962492917000046 10.1007/s11587-020-00483-y 10.1063/1.166070 10.1113/jphysiol.1952.sp004764 10.1080/00401706.1999.10485594 10.1137/S003613990343687X 10.1002/admt.201800350 10.1016/j.chaos.2003.12.043 10.1109/JRPROC.1962.288235 10.1103/PhysRevE.102.012212 10.1142/5884 10.1007/s11012-013-9763-2 10.1016/S0006-3495(61)86902-6 10.1016/S0092-8240(05)81776-8 10.1007/s11082-017-1197-y 10.1016/j.aml.2017.08.013 10.1111/nrm.12167 10.1134/S1560354718020028 10.1201/9781420011043 10.1109/ECCTD.2011.6043616 |
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| SubjectTerms | Computer Science Discrete systems Discretization Engineering Mathematics Mathematics and Statistics Original Research Parameter sensitivity Sensitivity analysis |
| Title | A Nearly Exact Discretization Scheme for the FitzHugh–Nagumo Model |
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