@article{8997,
  abstract     = {Phenomenological relations such as Ohm’s or Fourier’s law have a venerable history in physics but are still scarce in biology. This situation restrains predictive theory. Here, we build on bacterial “growth laws,” which capture physiological feedback between translation and cell growth, to construct a minimal biophysical model for the combined action of ribosome-targeting antibiotics. Our model predicts drug interactions like antagonism or synergy solely from responses to individual drugs. We provide analytical results for limiting cases, which agree well with numerical results. We systematically refine the model by including direct physical interactions of different antibiotics on the ribosome. In a limiting case, our model provides a mechanistic underpinning for recent predictions of higher-order interactions that were derived using entropy maximization. We further refine the model to include the effects of antibiotics that mimic starvation and the presence of resistance genes. We describe the impact of a starvation-mimicking antibiotic on drug interactions analytically and verify it experimentally. Our extended model suggests a change in the type of drug interaction that depends on the strength of resistance, which challenges established rescaling paradigms. We experimentally show that the presence of unregulated resistance genes can lead to altered drug interaction, which agrees with the prediction of the model. While minimal, the model is readily adaptable and opens the door to predicting interactions of second and higher-order in a broad range of biological systems.},
  author       = {Kavcic, Bor and Tkačik, Gašper and Bollenbach, Tobias},
  issn         = {1553-7358},
  journal      = {PLOS Computational Biology},
  keywords     = {Modelling and Simulation, Genetics, Molecular Biology, Antibiotics, Drug interactions},
  publisher    = {Public Library of Science},
  title        = {{Minimal biophysical model of combined antibiotic action}},
  doi          = {10.1371/journal.pcbi.1008529},
  volume       = {17},
  year         = {2021},
}

@article{9387,
  abstract     = {We report the complete analysis of a deterministic model of deleterious mutations and negative selection against them at two haploid loci without recombination. As long as mutation is a weaker force than selection, mutant alleles remain rare at the only stable equilibrium, and otherwise, a variety of dynamics are possible. If the mutation-free genotype is absent, generally the only stable equilibrium is the one that corresponds to fixation of the mutant allele at the locus where it is less deleterious. This result suggests that fixation of a deleterious allele that follows a click of the Muller’s ratchet is governed by natural selection, instead of random drift.},
  author       = {Khudiakova, Kseniia and Neretina, Tatiana Yu. and Kondrashov, Alexey S.},
  issn         = {0022-5193},
  journal      = {Journal of Theoretical Biology},
  keywords     = {General Biochemistry, Genetics and Molecular Biology, Modelling and Simulation, Statistics and Probability, General Immunology and Microbiology, Applied Mathematics, General Agricultural and Biological Sciences, General Medicine},
  publisher    = {Elsevier },
  title        = {{Two linked loci under mutation-selection balance and Muller’s ratchet}},
  doi          = {10.1016/j.jtbi.2021.110729},
  volume       = {524},
  year         = {2021},
}

@article{8767,
  abstract     = {Resources are rarely distributed uniformly within a population. Heterogeneity in the concentration of a drug, the quality of breeding sites, or wealth can all affect evolutionary dynamics. In this study, we represent a collection of properties affecting the fitness at a given location using a color. A green node is rich in resources while a red node is poorer. More colors can represent a broader spectrum of resource qualities. For a population evolving according to the birth-death Moran model, the first question we address is which structures, identified by graph connectivity and graph coloring, are evolutionarily equivalent. We prove that all properly two-colored, undirected, regular graphs are evolutionarily equivalent (where “properly colored” means that no two neighbors have the same color). We then compare the effects of background heterogeneity on properly two-colored graphs to those with alternative schemes in which the colors are permuted. Finally, we discuss dynamic coloring as a model for spatiotemporal resource fluctuations, and we illustrate that random dynamic colorings often diminish the effects of background heterogeneity relative to a proper two-coloring.},
  author       = {Kaveh, Kamran and McAvoy, Alex and Chatterjee, Krishnendu and Nowak, Martin A.},
  issn         = {1553-7358},
  journal      = {PLOS Computational Biology},
  keywords     = {Ecology, Modelling and Simulation, Computational Theory and Mathematics, Genetics, Ecology, Evolution, Behavior and Systematics, Molecular Biology, Cellular and Molecular Neuroscience},
  number       = {11},
  publisher    = {Public Library of Science},
  title        = {{The Moran process on 2-chromatic graphs}},
  doi          = {10.1371/journal.pcbi.1008402},
  volume       = {16},
  year         = {2020},
}