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Predicting evolution

Abstract

The face of evolutionary biology is changing: from reconstructing and analysing the past to predicting future evolutionary processes. Recent developments include prediction of reproducible patterns in parallel evolution experiments, forecasting the future of individual populations using data from their past, and controlled manipulation of evolutionary dynamics. Here we undertake a synthesis of central concepts for evolutionary predictions, based on examples of microbial and viral systems, cancer cell populations, and immune receptor repertoires. These systems have strikingly similar evolutionary dynamics driven by the competition of clades within a population. These dynamics are the basis for models that predict the evolution of clade frequencies, as well as broad genetic and phenotypic changes. Moreover, there are strong links between prediction and control, which are important for interventions such as vaccine or therapy design. All of these are key elements of what may become a predictive theory of evolution.

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Figure 1: Clonal interference is a common mode of evolution.
Figure 2: Predictability in evolution (schematic).
Figure 3: From fitness models to evolutionary predictions.
Figure 4: Information gain and time horizon of predictions.

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References

  1. Gould, S. J. Wonderful Life: The Burgess Shale and the Nature of History (1989).

    Google Scholar 

  2. Orgogozo, V. Replaying the tape of life in the twenty-first century. Interface Focus 5, 20150057 (2015).

    Article  PubMed  PubMed Central  Google Scholar 

  3. Lobkovsky, A. E. & Koonin, E. V. Replaying the tape of life: quantification of the predictability of evolution. Front. Genet. 3, 246 (2012).

    Article  PubMed  PubMed Central  Google Scholar 

  4. Achaz, G., Rodríguez-Verdugo, A., Gaut, B. S. & Tenaillon, O. The reproducibility of adaptation in the light of experimental evolution with whole genome sequencing. Adv. Exp. Med. Biol. 781, 211–231 (2014).

    Article  PubMed  Google Scholar 

  5. Salverda, M. L. M. et al. Initial mutations direct alternative pathways of protein evolution. PLoS Genet. 7, e1001321 (2011).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  6. Fonville, J. M. et al. Antibody landscapes after influenza virus infection or vaccination. Science 346, 996–1000 (2014).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  7. Kandoth, C. et al. Mutational landscape and significance across 12 major cancer types. Nature 502, 333–339 (2013).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  8. Lipinski, K. A. et al. Cancer evolution and the limits of predictability in precision cancer medicine. Trends Cancer 2, 49–63 (2016).

    Article  PubMed  PubMed Central  Google Scholar 

  9. Greaves, M. Evolutionary determinants of cancer. Cancer Discov. 5, 806–820 (2015).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  10. Lieberman, T. & Michel, J. Parallel bacterial evolution within multiple patients identifies candidate pathogenicity genes. Nat. Genet. 43, 1275–1280 (2011).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  11. Miles, J. J., Douek, D. C. & Price, D. A. Bias in the αβ T-cell repertoire: implications for disease pathogenesis and vaccination. Immunol. Cell Biol. 89, 375–387 (2011).

    Article  CAS  PubMed  Google Scholar 

  12. Bull, J. J. & Molineux, I. J. Predicting evolution from genomics: experimental evolution of bacteriophage T7. Heredity (Edinb.) 100, 453–463 (2008).

    Article  CAS  Google Scholar 

  13. Łuksza, M. & Lässig, M. A predictive fitness model for influenza. Nature 507, 57–61 (2014).

    Article  PubMed  CAS  Google Scholar 

  14. Munck, C., Gumpert, H. K., Wallin, A. I. N., Wang, H. H. & Sommer, M. O. A. Prediction of resistance development against drug combinations by collateral responses to component drugs. Sci. Transl. Med. 6, 262ra156 (2014).

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  15. Neher, R. A., Russell, C. A. & Shraiman, B. I. Predicting evolution from the shape of genealogical trees. eLife 3, e03568 (2014).

    Article  PubMed Central  Google Scholar 

  16. Barton, J. P. et al. Relative rate and location of intra-host HIV evolution to evade cellular immunity are predictable. Nat. Commun. 7, 11660 (2016).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  17. Neher, R. A. Genetic draft, selective interference, and population genetics of rapid adaptation. Annu. Rev. Ecol. Evol. Syst. 44, 195–215 (2013).

    Article  Google Scholar 

  18. Gerrish, P. J. & Lenski, R. E. The fate of competing beneficial mutations in an asexual population. Genetica 102–103, 127–144 (1998).

    Article  PubMed  Google Scholar 

  19. Miralles, R., Gerrish, P., Moya, A. & Elena, S. Clonal interference and the evolution of RNA viruses. Science 285, 1745–1747 (1999).

    Article  CAS  PubMed  Google Scholar 

  20. Lang, G. I., Botstein, D. & Desai, M. M. Genetic variation and the fate of beneficial mutations in asexual populations. Genetics 188, 647–661 (2011).

    Article  PubMed  PubMed Central  Google Scholar 

  21. Strelkowa, N. & Lässig, M. Clonal interference in the evolution of influenza. Genetics 192, 671–682 (2012).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  22. Miller, J. D. et al. Human effector and memory CD8+ T cell responses to smallpox and yellow fever vaccines. Immunity 28, 710–722 (2008).

    Article  CAS  PubMed  Google Scholar 

  23. Schuh, A., Becq, J., Humphray, S. & Alexa, A. Monitoring chronic lymphocytic leukemia progression by whole genome sequencing reveals heterogeneous clonal evolution patterns. Blood 120, 4191–4197 (2012).

    Article  CAS  PubMed  Google Scholar 

  24. Landau, D. A. et al. Mutations driving CLL and their evolution in progression and relapse. Nature 526, 525–530 (2015).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  25. Hoehn, K. B. et al. Dynamics of immunoglobulin sequence diversity in HIV-1 infected individuals. Philos. Trans. R. Soc. B 370, 20140241 (2015).

    Article  CAS  Google Scholar 

  26. Barrick, J. E. et al. Genome evolution and adaptation in a long-term experiment with Escherichia coli. Nature 461, 1243–1247 (2009).

    Article  CAS  PubMed  Google Scholar 

  27. Tenaillon, O. et al. The molecular diversity of adaptive convergence. Science 335, 457–461 (2012).

    Article  CAS  PubMed  Google Scholar 

  28. Long, A., Liti, G., Luptak, A. & Tenaillon, O. Elucidating the molecular architecture of adaptation via evolve and resequence experiments. Nat. Rev. Genet. 16, 567–582 (2015).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  29. Lang, G. I. & Desai, M. M. The spectrum of adaptive mutations in experimental evolution. Genomics 104, 412–416 (2014).

    Article  CAS  PubMed  Google Scholar 

  30. Stratton, M., Campbell, P. & Futreal, P. The cancer genome. Nature 458, 719–724 (2009).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  31. Behjati, S. et al. Genome sequencing of normal cells reveals developmental lineages and mutational processes. Nature 513, 422–425 (2014).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  32. Venturi, V., Price, D. A., Douek, D. C. & Davenport, M. P. The molecular basis for public T-cell responses? Nat. Rev. Immunol. 8, 231–238 (2008).

    Article  CAS  PubMed  Google Scholar 

  33. Mora, T. & Walczak, A. M. Quantifying lymphocyte receptor diversity. Preprint at bioRxiv https://dx.doi.org/10.1101/046870 (2016).

  34. Elhanati, Y. et al. Inferring processes underlying B-cell repertoire diversity. Philos. Trans. R. Soc. B 370, 20140243 (2015).

    Article  CAS  Google Scholar 

  35. Thomas, N. et al. Tracking global changes induced in the CD4 T-cell receptor repertoire by immunization with a complex antigen using short stretches of CDR3 protein sequence. Bioinformatics 30, 3181–3188 (2014).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  36. Kvitek, D. J. & Sherlock, G. Whole genome, whole population sequencing reveals that loss of signaling networks is the major adaptive strategy in a constant environment. PLoS Genet. 9, e1003972 (2013).

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  37. Barrick, J. E. & Lenski, R. E. Genome dynamics during experimental evolution. Nat. Rev. Genet. 14, 827–839 (2013).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  38. Kryazhimskiy, S., Rice, D. P., Jerison, E. R. & Desai, M. M. Microbial evolution. Global epistasis makes adaptation predictable despite sequence-level stochasticity. Science 344, 1519–1522 (2014).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  39. Toprak, E. et al. Evolutionary paths to antibiotic resistance under dynamically sustained drug selection. Nat. Genet. 44, 101–105 (2012).

    Article  CAS  Google Scholar 

  40. Barroso-Batista, J., Demengeot, J. & Gordo, I. Adaptive immunity increases the pace and predictability of evolutionary change in commensal gut bacteria. Nat. Commun. 6, 8945 (2015).

    Article  CAS  PubMed  Google Scholar 

  41. Christin, P.-A., Weinreich, D. M. & Besnard, G. Causes and evolutionary significance of genetic convergence. Trends Genet. 26, 400–405 (2010).

    Article  CAS  PubMed  Google Scholar 

  42. Ramiro, R. S., Costa, H. & Gordo, I. Macrophage adaptation leads to parallel evolution of genetically diverse Escherichia coli small-colony variants with increased fitness in vivo and antibiotic collateral sensitivity. Evol. Appl. 9, 994–1004 (2016).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  43. Hanahan, D. & Weinberg, R. A. Hallmarks of cancer: the next generation. Cell 144, 646–674 (2011).

    Article  CAS  PubMed  Google Scholar 

  44. Gerstung, M. et al. Combining gene mutation with gene expression data improves outcome prediction in myelodysplastic syndromes. Nat. Commun. 6, 5901 (2014).

    Article  CAS  Google Scholar 

  45. Murali-Krishna, K. et al. Counting antigen-specific CD8 T cells: a reevaluation of bystander activation during viral infection. Immunity 8, 177–187 (1998).

    Article  CAS  PubMed  Google Scholar 

  46. Butler, T. C., Kardar, M. & Chakraborty, A. K. Quorum sensing allows T cells to discriminate between self and nonself. Proc. Natl Acad. Sci. USA 110, 11833–11838 (2013).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  47. Schiffels, S., Szöllosi, G. J., Mustonen, V. & Lässig, M. Emergent neutrality in adaptive asexual evolution. Genetics 189, 1361–75 (2011).

    Article  PubMed  PubMed Central  Google Scholar 

  48. Good, B. H., Rouzine, I. M., Balick, D. J., Hallatschek, O. & Desai, M. M. Distribution of fixed beneficial mutations and the rate of adaptation in asexual populations. Proc. Natl Acad. Sci. USA 109, 4950–4955 (2012).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  49. Elena, S. F. & Lenski, R. E. Microbial genetics: evolution experiments with microorganisms: the dynamics and genetic bases of adaptation. Nat. Rev. Genet. 4, 457–469 (2003).

  50. Betancourt, A. J. Genomewide patterns of substitution in adaptively evolving populations of the RNA bacteriophage MS2. Genetics 181, 1535–1544 (2009).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  51. Tenaillon, O., Toupance, B., Le Nagard, H., Taddei, F. & Godelle, B. Mutators, population size, adaptive landscape and the adaptation of asexual populations of bacteria. Genetics 152, 485–493 (1999).

    CAS  PubMed  PubMed Central  Google Scholar 

  52. Illingworth, C. J. R. & Mustonen, V. Components of selection in the evolution of the influenza virus: linkage effects beat inherent selection. PLoS Pathog. 8, e1003091 (2012).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  53. Nourmohammad, A., Held, T. & Lässig, M. Universality and predictability in molecular quantitative genetics. Curr. Opin. Genet. Dev. 23, 684–693 (2013).

    Article  CAS  PubMed  Google Scholar 

  54. Zeldovich, K. B., Chen, P. & Shakhnovich, E. I. Protein stability imposes limits on organism complexity and speed of molecular evolution. Proc. Natl Acad. Sci. USA 104, 16152–16157 (2007).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  55. Marcusson, L. L., Frimodt-Møller, N. & Hughes, D. Interplay in the selection of fluoroquinolone resistance and bacterial fitness. PLoS Pathog. 5, e1000541 (2009).

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  56. MacLean, R. C., Hall, A. R., Perron, G. G. & Buckling, A. The population genetics of antibiotic resistance: integrating molecular mechanisms and treatment contexts. Nat. Rev. Genet. 11, 405–414 (2010).

    Article  CAS  PubMed  Google Scholar 

  57. Andersson, D. I. & Hughes, D. Antibiotic resistance and its cost: is it possible to reverse resistance? Nat. Rev. Microbiol. 8, 260–71 (2010).

    Article  CAS  PubMed  Google Scholar 

  58. Wylie, C. S. & Shakhnovich, E. I. A biophysical protein folding model accounts for most mutational fitness effects in viruses. Proc. Natl Acad. Sci. USA 108, 9916–9921 (2011).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  59. Gong, L. I., Suchard, M. A. & Bloom, J. D. Stability-mediated epistasis constrains the evolution of an influenza protein. eLife 2, e00631 (2013).

    Article  PubMed  PubMed Central  Google Scholar 

  60. Rodrigues, J. V. et al. Biophysical principles predict fitness landscapes of drug resistance. Proc. Natl Acad. Sci. USA 113, E1470–E1478 (2016).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  61. Hughes, D. & Andersson, D. I. Evolutionary consequences of drug resistance: shared principles across diverse targets and organisms. Nat. Rev. Genet. 16, 459–471 (2015).

    Article  CAS  PubMed  Google Scholar 

  62. Jacquier, H. et al. Capturing the mutational landscape of the beta-lactamase TEM-1. Proc. Natl Acad. Sci. USA 110, 13067–13072 (2013).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  63. McFarland, C. D. et al. Passenger DNA alterations reduce cancer fitness in cell culture and mouse models. Preprint at bioRxiv https://dx.doi.org/10.1101/026302 (2015).

  64. McFarland, C. D., Mirny, L. A. & Korolev, K. S. Tug-of-war between driver and passenger mutations in cancer and other adaptive processes. Proc. Natl Acad. Sci. USA 111, 15138–15143 (2014).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  65. Koelle, K. & Rasmussen, D. A. The effects of a deleterious mutation load on patterns of influenza A/H3N2's antigenic evolution in humans. eLife 4, e07361 (2015).

    Article  PubMed  PubMed Central  Google Scholar 

  66. Weinreich, D. M., Delaney, N. F., Depristo, M. A. & Hartl, D. L. Darwinian evolution can follow only very few mutational paths to fitter proteins. Science 312, 111–114 (2006).

    Article  CAS  PubMed  Google Scholar 

  67. Comas, I. et al. Whole-genome sequencing of rifampicin-resistant Mycobacterium tuberculosis strains identifies compensatory mutations in RNA polymerase genes. Nat. Genet. 44, 106–110 (2011).

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  68. Palmer, A. C. & Kishony, R. Understanding, predicting and manipulating the genotypic evolution of antibiotic resistance. Nat. Rev. Genet. 14, 243–248 (2013).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  69. Rodríguez-Verdugo, A., Gaut, B. S. & Tenaillon, O. Evolution of Escherichia coli rifampicin resistance in an antibiotic-free environment during thermal stress. BMC Evol. Biol. 13, 50 (2013).

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  70. Weinreich, D., Lan, Y., Wylie, C. S. & Heckendorn, R. B. Should evolutionary geneticists worry about higher-order epistasis? Curr. Opin. Genet. Dev. 23, 700–707 (2013).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  71. Schenk, M. F. & de Visser, J. A. G. M. Predicting the evolution of antibiotic resistance. BMC Biol. 11, 14 (2013).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  72. Poelwijk, F. J., Kiviet, D. J., Weinreich, D. M. & Tans, S. J. Empirical fitness landscapes reveal accessible evolutionary paths. Nature 445, 383–386 (2007).

    Article  CAS  PubMed  Google Scholar 

  73. McKeown, A. N. et al. Evolution of DNA Specificity in a transcription factor family produced a new gene regulatory module. Cell 159, 58–68 (2014).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  74. Couce, A. & Tenaillon, O. A. The rule of declining adaptability in microbial evolution experiments. Front. Genet. 6, 99 (2015).

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  75. Press, M. O., Queitsch, C. & Borenstein, E. Evolutionary assembly patterns of prokaryotic genomes. Genome Res. 26, 826–833 (2016).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  76. Heckmann, D. et al. Predicting C4 photosynthesis evolution: modular, individually adaptive steps on a Mount Fuji fitness landscape. Cell 153, 1579–1588 (2013).

    Article  CAS  PubMed  Google Scholar 

  77. de Visser, J. A. G. M. & Krug, J. Empirical fitness landscapes and the predictability of evolution. Nat. Rev. Genet. 15, 480–490 (2014).

    Article  CAS  PubMed  Google Scholar 

  78. Bank, C., Matuszewski, S., Hietpas, R. T. & Jensen, J. D. On the (un)predictability of a large intragenic fitness landscape. Proc. Natl Acad. Sci. USA 113, 14085–14090 (2016).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  79. Kondrashov, D. A. & Kondrashov, F. A. Topological features of rugged fitness landscapes in sequence space. Trends Genet. 31, 24–33 (2015).

    Article  CAS  PubMed  Google Scholar 

  80. du Plessis, L., Leventhal, G. & Bonhoeffer, S. How good are statistical models at approximating complex fitness landscapes. Mol. Biol. Evol. 33, 2454–2468 (2016).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  81. Levin, B. R., Perrot, V. & Walker, N. Compensatory mutations, antibiotic resistance and the population genetics of adaptive evolution in bacteria. Genetics 154, 985–997 (2000).

    CAS  PubMed  PubMed Central  Google Scholar 

  82. Luciani, F., Sisson, S. A., Jiang, H., Francis, A. R. & Tanaka, M. M. The epidemiological fitness cost of drug resistance in Mycobacterium tuberculosis. Proc. Natl Acad. Sci. USA 106, 14711–14715 (2009).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  83. Vogwill, T. & MacLean, R. C. The genetic basis of the fitness costs of antimicrobial resistance: a meta-analysis approach. Evol. Appl. 8, 284–295 (2015).

    Article  PubMed  Google Scholar 

  84. Reynolds, M. G. Compensatory evolution in rifampin-resistant Escherichia coli. Genetics 156, 1471–1481 (2000).

    CAS  PubMed  PubMed Central  Google Scholar 

  85. Brown, K. M., Depristo, M. A., Weinreich, D. M. & Hartl, D. L. Temporal constraints on the incorporation of regulatory mutants in evolutionary pathways. Mol. Biol. Evol. 26, 2455–2462 (2009).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  86. Poon, A. & Chao, L. The rate of compensatory mutation in the DNA bacteriophage X174. Genetics 170, 989–999 (2005).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  87. Maisnier-Patin, S., Berg, O. G., Liljas, L. & Andersson, D. I. Compensatory adaptation to the deleterious effect of antibiotic resistance in Salmonella typhimurium. Mol. Microbiol. 46, 355–366 (2002).

    Article  CAS  PubMed  Google Scholar 

  88. Sousa, A., Magalhães, S. & Gordo, I. Cost of antibiotic resistance and the geometry of adaptation. Mol. Biol. Evol. 29, 1417–1428 (2012).

    Article  CAS  PubMed  Google Scholar 

  89. Aakre, C. D. et al. Evolving new protein-protein interaction specificity through promiscuous intermediates. Cell 163, 594–606 (2015).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  90. Burke, M. K., Liti, G. & Long, A. D. Standing genetic variation drives repeatable experimental evolution in outcrossing populations of Saccharomyces cerevisiae. Mol. Biol. Evol. 31, 3228–3239 (2014).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  91. Vázquez-García, I. et al. Background-dependent effects of selection on subclonal heterogeneity. Preprint at bioRxiv https://dx.doi.org/10.1101/039859 (2016).

  92. Barroso-Batista, J. et al. The first steps of adaptation of Escherichia coli to the gut are dominated by soft sweeps. PLoS Genet. 10, e1004182 (2014).

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  93. Jiang, N. et al. Lineage structure of the human antibody repertoire in response to influenza vaccination. Sci. Transl. Med. 5, 171ra19 (2013).

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  94. Mustonen, V. & Lässig, M. From fitness landscapes to seascapes: non-equilibrium dynamics of selection and adaptation. Trends Genet. 25, 111–119 (2009).

    Article  CAS  PubMed  Google Scholar 

  95. Hallatschek, O., Hersen, P., Ramanathan, S. & Nelson, D. R. Genetic drift at expanding frontiers promotes gene segregation. Proc. Natl Acad. Sci. USA 104, 19926–19930 (2007).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  96. Tenaillon, O. et al. Tempo and mode of genome evolution in a 50,000-generation experiment. Nature 536, 165–170 (2016).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  97. Levy, S. et al. Quantitative evolutionary dynamics using high-resolution lineage tracking. Nature 519, 181–186 (2015).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  98. Venkataram, S. et al. Development of a comprehensive genotype-to-fitness map of adaptation-driving mutations in yeast. Cell 166, 1585–1589.e22 (2016).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  99. Adams, R., Kinney, J. B., Mora, T. & Walczak, A. M. Measuring the sequence-affinity landscape of antibodies with massively parallel titration curves. eLife http://dx.doi.org/10.7554/eLife.23156 (2016).

  100. Birnbaum, M. E. et al. Deconstructing the peptide-MHC specificity of T cell recognition. Cell 157, 1073–1087 (2014).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  101. Maerkl, S. & Quake, S. A systems approach to measuring the binding energy landscapes of transcription factors. Science 315, 233–237 (2007).

    Article  CAS  PubMed  Google Scholar 

  102. Bulyk, M. DNA microarray technologies for measuring protein–dna interactions. Curr. Opin. Biotechnol. 17, 422–430 (2006).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  103. Kinney, J., Murugan, A., Callan Curtis, G. J. & Cox, E. C. Using deep sequencing to characterize the biophysical mechanism of a transcriptional regulatory sequence. Proc. Natl Acad. Sci. USA 107, 9158–9163 (2010).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  104. Thyagarajan, B. & Bloom, J. D. The inherent mutational tolerance and antigenic evolvability of influenza hemagglutinin. eLife 3, e03300 (2014).

    Article  PubMed Central  CAS  Google Scholar 

  105. Halpern, A. L. & Bruno, W. J. Evolutionary distances for protein-coding sequences: modeling site- specific residue frequencies. Mol. Biol. Evol. 15, 910–917 (1962).

    Article  Google Scholar 

  106. Berg, J., Willmann, S. & Lässig, M. Adaptive evolution of transcription factor binding sites. BMC Evol. Biol. 4, 42 (2004).

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  107. Kouyos, R. D. et al. Exploring the complexity of the HIV-1 fitness landscape. PLoS Genet. 8, e1002551 (2012).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  108. Lässig, M. From biophysics to evolutionary genetics: statistical aspects of gene regulation. BMC Bioinform. 8(suppl. 6), S7 (2007).

    Article  CAS  Google Scholar 

  109. Mustonen, V., Kinney, J. B., Callan Curtis, G. J. & Lässig, M. Energy-dependent fitness: a quantitative model for the evolution of yeast transcription factor binding sites. Proc. Natl Acad. Sci. USA 105, 12376–12381 (2008).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  110. Serohijos, A. W. R. & Shakhnovich, E. I. Merging molecular mechanism and evolution: theory and computation at the interface of biophysics and evolutionary population genetics. Curr. Opin. Struct. Biol. 26, 84–91 (2014).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  111. Moses, A., Chiang, D., Pollard, D., Iyer, V. & Eisen, M. MONKEY: identifying conserved transcription-factor binding sites in multiple alignments using a binding site-specific evolutionary model. Genome 5, R98 (2004).

    Google Scholar 

  112. Liberles, D. A. et al. The interface of protein structure, protein biophysics, and molecular evolution. Protein Sci. 21, 769–785 (2012).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  113. Gerland, U. & Hwa, T. On the selection and evolution of regulatory DNA motifs. J. Mol. Evol. 55, 386–400 (2002).

    Article  CAS  PubMed  Google Scholar 

  114. Schumacher, T. N. & Schreiber, R. D. Neoantigens in cancer immunotherapy. Science 348, 69–74 (2015).

    Article  CAS  PubMed  Google Scholar 

  115. Fisher, R. A. The Genetical Theory of Natural Selection. (Clarendon, 1930).

    Book  Google Scholar 

  116. Trindade, S., Sousa, A. & Gordo, I. Antibiotic resistance and stress in the light of Fisher's model. Evolution 66, 3815–3824 (2012).

    Article  PubMed  Google Scholar 

  117. Hermsen, R., Deris, J. B. & Hwa, T. On the rapidity of antibiotic resistance evolution facilitated by a concentration gradient. Proc. Natl Acad. Sci. USA 109, 10775–10780 (2012).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  118. Greulich, P., Waclaw, B. & Allen, R. J. Mutational pathway determines whether drug gradients accelerate evolution of drug-resistant cells. Phys. Rev. Lett. 109, 88101 (2012).

    Article  CAS  Google Scholar 

  119. Smith, D. J., Lapedes, A. S. & De Jong, J. C. Mapping the antigenic and genetic evolution of influenza virus. Science 305, 371–377 (2004).

    Article  CAS  PubMed  Google Scholar 

  120. Bedford, T. et al. Integrating influenza antigenic dynamics with molecular evolution. eLife 3, e01914 (2014).

    Article  PubMed  PubMed Central  Google Scholar 

  121. Neher, R. A., Bedford, T., Daniels, R. S., Russell, C. A. & Shraiman, B. I. Prediction, dynamics, and visualization of antigenic phenotypes of seasonal influenza viruses. Proc. Natl Acad. Sci. USA 113, E1701–E1709 (2016).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  122. Papp, B., Notebaart, R. A. & Pál, C. Systems-biology approaches for predicting genomic evolution. Nat. Rev. Genet. 12, 591–602 (2011).

    Article  CAS  PubMed  Google Scholar 

  123. Wang, S. et al. Manipulating the selection forces during affinity maturation to generate cross-reactive HIV antibodies. Cell 160, 785–797 (2015).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  124. Nourmohammad, A., Otwinowski, J. & Plotkin, J. B. Host-pathogen coevolution and the emergence of broadly neutralizing antibodies in chronic infections. PLoS Genet. 12, e1006171 (2016).

    Article  PubMed  PubMed Central  CAS  Google Scholar 

  125. Gandon, S., Day, T., Metcalf, C. J. E. & Grenfell, B. T. Forecasting epidemiological and evolutionary dynamics of infectious diseases. Trends Ecol. Evol. 31, 1–13 (2016).

    Article  Google Scholar 

  126. Torres-Barceló, C. & Hochberg, M. E. Evolutionary rationale for phages as complements of antibiotics. Trends Microbiol. 24, 249–56 (2016).

    Article  CAS  Google Scholar 

  127. Iorio, F. et al. A landscape of pharmacogenomic interactions in cancer. Cell 166, 740–754 (2016).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  128. Bialek, W., Nemenman, I. & Tishby, N. Predictability, complexity, and learning. Neural Comput. 13, 2409–2463 (2001).

    Article  CAS  PubMed  Google Scholar 

  129. Mustonen, V. & Lässig, M. Fitness flux and ubiquity of adaptive evolution. Proc. Natl Acad. Sci. USA 107, 4248–4253 (2010).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  130. Read, A. F., Day, T. & Huijben, S. The evolution of drug resistance and the curious orthodoxy of aggressive chemotherapy. Proc. Natl Acad. Sci. USA 108, 10871–10877 (2011).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  131. Ankomah, P. & Levin, B. R. Exploring the collaboration between antibiotics and the immune response in the treatment of acute, self-limiting infections. Proc. Natl Acad. Sci. USA 111, 8331–8338 (2014).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  132. Das Thakur, M. et al. Modelling vemurafenib resistance in melanoma reveals a strategy to forestall drug resistance. Nature 494, 251–255 (2013).

    Article  CAS  PubMed  Google Scholar 

  133. Mayer, A., Mora, T., Rivoire, O. & Walczak, A. M. Diversity of immune strategies explained by adaptation to pathogen statistics. Proc. Natl Acad. Sci. USA 113, 8630–8635 (2016).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  134. Fischer, A., Vázquez-García, I. & Mustonen, V. The value of monitoring to control evolving populations. Proc. Natl Acad. Sci. USA 112, 1007–1012 (2015).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  135. Perelson, A. S., Neumann, A. U., Markowitz, M., Leonard, J. M. & Ho, D. D. HIV-1 dynamics in vivo: virion clearance rate, infected cell life-span, and viral generation time. Science 271, 1582–1586 (1996).

    Article  CAS  PubMed  Google Scholar 

  136. Chapman, P. B. et al. Improved survival with vemurafenib in melanoma with BRAF V600E mutation. N. Engl. J. Med. 364, 2507–2516 (2011).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  137. Caskey, M. et al. Viraemia suppressed in HIV-1-infected humans by broadly neutralizing antibody 3BNC117. Nature 522, 487–491 (2015).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  138. Perfeito, L., Ghozzi, S., Berg, J., Schnetz, K. & Lässig, M. Nonlinear fitness landscape of a molecular pathway. PLoS Genet. 7, e1002160 (2011).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  139. Mnih, V. et al. Human-level control through deep reinforcement learning. Nature 518, 529–533 (2015).

    Article  CAS  PubMed  Google Scholar 

  140. Abel Zur Wiesch, P., Kouyos, R., Engelstädter, J., Regoes, R. R. & Bonhoeffer, S. Population biological principles of drug-resistance evolution in infectious diseases. Lancet Infect. Dis. 11, 236–247 (2011).

    Article  Google Scholar 

  141. Fischer, A., Vázquez-García, I., Illingworth, C. J. R. & Mustonen, V. High-definition reconstruction of clonal composition in cancer. Cell Rep. 7, 1740–1752 (2014).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

  142. Liao, H.-X. et al. Co-evolution of a broadly neutralizing HIV-1 antibody and founder virus. Nature 496, 469–476 (2013).

    Article  CAS  PubMed  PubMed Central  Google Scholar 

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Acknowledgements

We thank M. Desai, I. Gordo, M. Łuksza, T. Mora and A. Nourmohammad for comments on the manuscript. M. Desai, M. Łuksza and A. Nourmohammad also provided important input to illustrations. This work has been partially supported by Deutsche Forschungs-gemeinschaft grant SFB 680 (M.L.), Wellcome Trust grant 098051 (V.M.), and European Research Council ERCStG 306312 (A.M.W.).

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All authors developed concepts and wrote the paper. Authors are listed in alphabetical order.

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Correspondence to Michael Lässig, Ville Mustonen or Aleksandra M. Walczak.

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Lässig, M., Mustonen, V. & Walczak, A. Predicting evolution. Nat Ecol Evol 1, 0077 (2017). https://doi.org/10.1038/s41559-017-0077

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