A continuous phenotype space model of RNA virus evolution within a host
Due to their very high replication and mutation rates, RNA virusescan serve as an excellent testing model for verifying hypothesis andaddressing questions in evolutionary biology.In this paper, we suggest a simple deterministic mathematical modelof the within-host viral dynamics, where a possibility...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2014-02-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.919 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590104176099328 |
|---|---|
| author | Andrei Korobeinikov Conor Dempsey |
| author_facet | Andrei Korobeinikov Conor Dempsey |
| author_sort | Andrei Korobeinikov |
| collection | DOAJ |
| description | Due to their very high replication and mutation rates, RNA virusescan serve as an excellent testing model for verifying hypothesis andaddressing questions in evolutionary biology.In this paper, we suggest a simple deterministic mathematical modelof the within-host viral dynamics, where a possibility for random mutations incorporates.This model assumes a continuous distribution of viral strainsin a one-dimensional phenotype space where random mutations aremodelled by Brownian motion (that is, by diffusion).Numerical simulations show that randommutations combined with competition for a resource result in evolutiontowards higher Darwinian fitness: a stable pulse traveling waveof evolution, moving towards higher levels of fitness,is formed in the phenotype space.The advantage of this model, compared with the previously constructedmodels, is that this model is mechanistic and is based on commonlyaccepted model of virus dynamics within a host, and thus it allowsan incorporation of features of the real-life host-virus system such as immuneresponse, antiviral therapy, etc. |
| format | Article |
| id | doaj-art-29025a0ac73548c3bdaca8688d79fb8d |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2014-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-29025a0ac73548c3bdaca8688d79fb8d2025-01-24T02:28:18ZengAIMS PressMathematical Biosciences and Engineering1551-00182014-02-0111491992710.3934/mbe.2014.11.919A continuous phenotype space model of RNA virus evolution within a hostAndrei Korobeinikov0Conor Dempsey1Centre de Recerca Matemàtica, Campus de Bellaterra, Edifici C, 08193 Bellaterra, BarcelonaDepartment of Neuroscience, Columbia University, 40 Haven Avenue, New York, NY 10032Due to their very high replication and mutation rates, RNA virusescan serve as an excellent testing model for verifying hypothesis andaddressing questions in evolutionary biology.In this paper, we suggest a simple deterministic mathematical modelof the within-host viral dynamics, where a possibility for random mutations incorporates.This model assumes a continuous distribution of viral strainsin a one-dimensional phenotype space where random mutations aremodelled by Brownian motion (that is, by diffusion).Numerical simulations show that randommutations combined with competition for a resource result in evolutiontowards higher Darwinian fitness: a stable pulse traveling waveof evolution, moving towards higher levels of fitness,is formed in the phenotype space.The advantage of this model, compared with the previously constructedmodels, is that this model is mechanistic and is based on commonlyaccepted model of virus dynamics within a host, and thus it allowsan incorporation of features of the real-life host-virus system such as immuneresponse, antiviral therapy, etc.https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.919hivevolutiontraveling wave.random mutationmathematical modelling |
| spellingShingle | Andrei Korobeinikov Conor Dempsey A continuous phenotype space model of RNA virus evolution within a host Mathematical Biosciences and Engineering hiv evolution traveling wave. random mutation mathematical modelling |
| title | A continuous phenotype space model of RNA virus evolution within a host |
| title_full | A continuous phenotype space model of RNA virus evolution within a host |
| title_fullStr | A continuous phenotype space model of RNA virus evolution within a host |
| title_full_unstemmed | A continuous phenotype space model of RNA virus evolution within a host |
| title_short | A continuous phenotype space model of RNA virus evolution within a host |
| title_sort | continuous phenotype space model of rna virus evolution within a host |
| topic | hiv evolution traveling wave. random mutation mathematical modelling |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.919 |
| work_keys_str_mv | AT andreikorobeinikov acontinuousphenotypespacemodelofrnavirusevolutionwithinahost AT conordempsey acontinuousphenotypespacemodelofrnavirusevolutionwithinahost AT andreikorobeinikov continuousphenotypespacemodelofrnavirusevolutionwithinahost AT conordempsey continuousphenotypespacemodelofrnavirusevolutionwithinahost |