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<titleInfo><title>Population structure determines the tradeoff between fixation probability and fixation time</title></titleInfo>


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<name type="personal">
  <namePart type="given">Josef</namePart>
  <namePart type="family">Tkadlec</namePart>
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<name type="personal">
  <namePart type="given">Andreas</namePart>
  <namePart type="family">Pavlogiannis</namePart>
  <role><roleTerm type="text">author</roleTerm> </role><identifier type="local">49704004-F248-11E8-B48F-1D18A9856A87</identifier><description xsi:type="identifierDefinition" type="orcid">0000-0002-8943-0722</description></name>
<name type="personal">
  <namePart type="given">Krishnendu</namePart>
  <namePart type="family">Chatterjee</namePart>
  <role><roleTerm type="text">author</roleTerm> </role><identifier type="local">2E5DCA20-F248-11E8-B48F-1D18A9856A87</identifier><description xsi:type="identifierDefinition" type="orcid">0000-0002-4561-241X</description></name>
<name type="personal">
  <namePart type="given">Martin A.</namePart>
  <namePart type="family">Nowak</namePart>
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  <namePart>Quantitative Graph Games: Theory and Applications</namePart>
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  <namePart>Modern Graph Algorithmic Techniques in Formal Verification</namePart>
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  <namePart>Rigorous Systems Engineering</namePart>
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<abstract lang="eng">The rate of biological evolution depends on the fixation probability and on the fixation time of new mutants. Intensive research has focused on identifying population structures that augment the fixation probability of advantageous mutants. But these amplifiers of natural selection typically increase fixation time. Here we study population structures that achieve a tradeoff between fixation probability and time. First, we show that no amplifiers can have an asymptotically lower absorption time than the well-mixed population. Then we design population structures that substantially augment the fixation probability with just a minor increase in fixation time. Finally, we show that those structures enable higher effective rate of evolution than the well-mixed population provided that the rate of generating advantageous mutants is relatively low. Our work sheds light on how population structure affects the rate of evolution. Moreover, our structures could be useful for lab-based, medical, or industrial applications of evolutionary optimization.</abstract>

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<originInfo><publisher>Springer Nature</publisher><dateIssued encoding="w3cdtf">2019</dateIssued>
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<language><languageTerm authority="iso639-2b" type="code">eng</languageTerm>
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<relatedItem type="host"><titleInfo><title>Communications Biology</title></titleInfo>
  <identifier type="issn">2399-3642</identifier>
  <identifier type="MEDLINE">31044163</identifier>
  <identifier type="ISI">000465425700006</identifier><identifier type="doi">10.1038/s42003-019-0373-y</identifier>
<part><detail type="volume"><number>2</number></detail>
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  <location>     <url>https://research-explorer.ista.ac.at/record/7196</url>  </location>
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<ama>Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. Population structure determines the tradeoff between fixation probability and fixation time. &lt;i&gt;Communications Biology&lt;/i&gt;. 2019;2. doi:&lt;a href=&quot;https://doi.org/10.1038/s42003-019-0373-y&quot;&gt;10.1038/s42003-019-0373-y&lt;/a&gt;</ama>
<mla>Tkadlec, Josef, et al. “Population Structure Determines the Tradeoff between Fixation Probability and Fixation Time.” &lt;i&gt;Communications Biology&lt;/i&gt;, vol. 2, 138, Springer Nature, 2019, doi:&lt;a href=&quot;https://doi.org/10.1038/s42003-019-0373-y&quot;&gt;10.1038/s42003-019-0373-y&lt;/a&gt;.</mla>
<ieee>J. Tkadlec, A. Pavlogiannis, K. Chatterjee, and M. A. Nowak, “Population structure determines the tradeoff between fixation probability and fixation time,” &lt;i&gt;Communications Biology&lt;/i&gt;, vol. 2. Springer Nature, 2019.</ieee>
<chicago>Tkadlec, Josef, Andreas Pavlogiannis, Krishnendu Chatterjee, and Martin A. Nowak. “Population Structure Determines the Tradeoff between Fixation Probability and Fixation Time.” &lt;i&gt;Communications Biology&lt;/i&gt;. Springer Nature, 2019. &lt;a href=&quot;https://doi.org/10.1038/s42003-019-0373-y&quot;&gt;https://doi.org/10.1038/s42003-019-0373-y&lt;/a&gt;.</chicago>
<apa>Tkadlec, J., Pavlogiannis, A., Chatterjee, K., &amp;#38; Nowak, M. A. (2019). Population structure determines the tradeoff between fixation probability and fixation time. &lt;i&gt;Communications Biology&lt;/i&gt;. Springer Nature. &lt;a href=&quot;https://doi.org/10.1038/s42003-019-0373-y&quot;&gt;https://doi.org/10.1038/s42003-019-0373-y&lt;/a&gt;</apa>
<short>J. Tkadlec, A. Pavlogiannis, K. Chatterjee, M.A. Nowak, Communications Biology 2 (2019).</short>
<ista>Tkadlec J, Pavlogiannis A, Chatterjee K, Nowak MA. 2019. Population structure determines the tradeoff between fixation probability and fixation time. Communications Biology. 2, 138.</ista>
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