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Predictable Properties of Fitness Landscapes Induced by Adaptational Tradeoffs

Suman G. Das, Susana O. L. Direito, Bartlomiej Waclaw, Rosalind J. Allen, Joachim Krug
doi: https://doi.org/10.1101/2020.01.15.908574
Suman G. Das
1Institute for Biological Physics, University of Cologne, Cologne, Germany
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  • For correspondence: sdas3@uni-koeln.de jkrug@uni-koeln.de
Susana O. L. Direito
2School of Physics and Astronomy, University of Edinburgh, Edinburgh, United Kingdom
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Bartlomiej Waclaw
2School of Physics and Astronomy, University of Edinburgh, Edinburgh, United Kingdom
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Rosalind J. Allen
2School of Physics and Astronomy, University of Edinburgh, Edinburgh, United Kingdom
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Joachim Krug
1Institute for Biological Physics, University of Cologne, Cologne, Germany
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  • For correspondence: sdas3@uni-koeln.de jkrug@uni-koeln.de
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Abstract

Fitness effects of mutations depend on environmental parameters. For example, mutations that increase fitness of bacteria at high antibiotic concentration often decrease fitness in the absence of antibiotic, exemplifying a tradeoff between adaptation to environmental extremes. We develop a mathematical model for fitness landscapes generated by such tradeoffs, based on experiments that determine the antibiotic dose-response curves of Escherichia coli strains, and previous observations on antibiotic resistance mutations. Our model generates a succession of landscapes with predictable properties as antibiotic concentration is varied. The landscape is nearly smooth at low and high concentrations, but the tradeoff induces a high ruggedness at intermediate antibiotic concentrations. Despite this high ruggedness, however, all the fitness maxima in the landscapes are evolutionarily accessible from the wild type. This implies that selection for antibiotic resistance in multiple mutational steps is relatively facile despite the complexity of the underlying landscape.

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The copyright holder for this preprint is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. It is made available under a CC-BY 4.0 International license.
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Posted January 16, 2020.
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Predictable Properties of Fitness Landscapes Induced by Adaptational Tradeoffs
Suman G. Das, Susana O. L. Direito, Bartlomiej Waclaw, Rosalind J. Allen, Joachim Krug
bioRxiv 2020.01.15.908574; doi: https://doi.org/10.1101/2020.01.15.908574
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Predictable Properties of Fitness Landscapes Induced by Adaptational Tradeoffs
Suman G. Das, Susana O. L. Direito, Bartlomiej Waclaw, Rosalind J. Allen, Joachim Krug
bioRxiv 2020.01.15.908574; doi: https://doi.org/10.1101/2020.01.15.908574

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