A population dynamics approach to biological aging
A dynamical model for aging in biological population is discussed where asexual reproduction is considered. The maximum life span is inherited from parent to offspring with some random mutations described by a transition matrix, and the fertile period begins at a defined age R. The intra species com...
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description | A dynamical model for aging in biological population is discussed where asexual reproduction is considered. The maximum life span is inherited from parent to offspring with some random mutations described by a transition matrix, and the fertile period begins at a defined age R. The intra species competition is modeled through a Verhulst-like factor. Discrete time evolution equations are iterated and the transient and asymptotic solutions are obtained. When only bad mutations are taken into account, the stationary solutions are obtained analytically. The results are applied to the Penna model. |
doi_str_mv | 10.1007/BFb0105014 |
format | Book Chapter |
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C. ; Reguera, D. ; Rubí, J.M. ; Vilar, J.M.G.</creatorcontrib><description>A dynamical model for aging in biological population is discussed where asexual reproduction is considered. The maximum life span is inherited from parent to offspring with some random mutations described by a transition matrix, and the fertile period begins at a defined age R. The intra species competition is modeled through a Verhulst-like factor. Discrete time evolution equations are iterated and the transient and asymptotic solutions are obtained. When only bad mutations are taken into account, the stationary solutions are obtained analytically. 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M. C.</creatorcontrib><title>A population dynamics approach to biological aging</title><title>Statistical Mechanics of Biocomplexity</title><description>A dynamical model for aging in biological population is discussed where asexual reproduction is considered. The maximum life span is inherited from parent to offspring with some random mutations described by a transition matrix, and the fertile period begins at a defined age R. The intra species competition is modeled through a Verhulst-like factor. Discrete time evolution equations are iterated and the transient and asymptotic solutions are obtained. When only bad mutations are taken into account, the stationary solutions are obtained analytically. The results are applied to the Penna model.</description><subject>Asexual Reproduction</subject><subject>Asymptotic Solution</subject><subject>Biological Aging</subject><subject>Mutation Accumulation</subject><subject>Random Mutation</subject><issn>0075-8450</issn><issn>1616-6361</issn><isbn>9783540662457</isbn><isbn>3540662456</isbn><isbn>3540484868</isbn><isbn>9783540484868</isbn><fulltext>true</fulltext><rsrctype>book_chapter</rsrctype><creationdate>2007</creationdate><recordtype>book_chapter</recordtype><sourceid/><recordid>eNqVjr0OgjAURq9_iagsPkFHF_ReaEsd1Wh8AHdSELGKtKE6-PZqYuLs9A3nO8kBmBLOCTFdrHc5Egok3oFRIjhyxZVUXQhIkoxkIqkH4TJVHyZlzEXah-BtikhxgUMYeX9BjAXnFEC8Ys66R63vxjbs-Gz0zRSeaedaq4szu1uWG1vbyhS6ZroyTTWBwUnXvgy_O4bZbnvY7CPv2jcu2yy39uozwuwTnP2Ckz-uLxkTP24</recordid><startdate>20070429</startdate><enddate>20070429</enddate><creator>de Almeida, R. M. C.</creator><general>Springer Berlin Heidelberg</general><scope/></search><sort><creationdate>20070429</creationdate><title>A population dynamics approach to biological aging</title><author>de Almeida, R. M. C.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-springer_books_10_1007_BFb01050143</frbrgroupid><rsrctype>book_chapters</rsrctype><prefilter>book_chapters</prefilter><language>eng</language><creationdate>2007</creationdate><topic>Asexual Reproduction</topic><topic>Asymptotic Solution</topic><topic>Biological Aging</topic><topic>Mutation Accumulation</topic><topic>Random Mutation</topic><toplevel>online_resources</toplevel><creatorcontrib>de Almeida, R. M. C.</creatorcontrib></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>de Almeida, R. M. C.</au><au>Reguera, D.</au><au>Rubí, J.M.</au><au>Vilar, J.M.G.</au><format>book</format><genre>bookitem</genre><ristype>CHAP</ristype><atitle>A population dynamics approach to biological aging</atitle><btitle>Statistical Mechanics of Biocomplexity</btitle><seriestitle>Lecture Notes in Physics</seriestitle><date>2007-04-29</date><risdate>2007</risdate><spage>165</spage><epage>171</epage><pages>165-171</pages><issn>0075-8450</issn><eissn>1616-6361</eissn><isbn>9783540662457</isbn><isbn>3540662456</isbn><eisbn>3540484868</eisbn><eisbn>9783540484868</eisbn><abstract>A dynamical model for aging in biological population is discussed where asexual reproduction is considered. The maximum life span is inherited from parent to offspring with some random mutations described by a transition matrix, and the fertile period begins at a defined age R. The intra species competition is modeled through a Verhulst-like factor. Discrete time evolution equations are iterated and the transient and asymptotic solutions are obtained. When only bad mutations are taken into account, the stationary solutions are obtained analytically. The results are applied to the Penna model.</abstract><cop>Berlin, Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1007/BFb0105014</doi></addata></record> |
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ispartof | Statistical Mechanics of Biocomplexity, 2007, p.165-171 |
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language | eng |
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source | Springer Books |
subjects | Asexual Reproduction Asymptotic Solution Biological Aging Mutation Accumulation Random Mutation |
title | A population dynamics approach to biological aging |
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