Abstract
Theoretical modeling of quasispecies has progressed in several directions. In this chapter, we review the works of Emmanuel Tannenbaum, who, together with Eugene Shakhnovich at Harvard University and later with colleagues and students at Ben-Gurion University in Beersheva, implemented one of the more useful approaches, by progressively setting up various formulations for the quasispecies model and solving them analytically. Our review will focus on these papers that have explored new models, assumed the relevant mathematical approximations, and proceeded to analytically solve for the steady-state solutions and run stochastic simulations . When applicable, these models were related to real-life problems and situations, including changing environments, presence of chemical mutagens, evolution of cancer and tumor cells , mutations in Escherichia coli, stem cells , chromosomal instability (CIN), propagation of antibiotic drug resistance , dynamics of bacteria with plasmids , DNA proofreading mechanisms, and more.
In memory of Prof. Emmanuel David Tannenbaum (1978–2012).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Brumer Y, Shakhnovich EI (2004a) Host-parasite coevolution and optimal mutation rates for semiconservative quasispecies. Phys Rev E 69:061909
Brumer Y, Shakhnovich EI (2004b) Importance of DNA repair in tumor suppression. Phys Rev E 70:061912
Brumer Y, Shakhnovich EI (2005) Selective advantage for conservative viruses. Phys Rev E 71:031903
Brumer Y, Michor F, Shakhnovich EI (2006) Genetic instability and the quasispecies model. J Theor Biol 241:216–222
Cascales E, Buchanan SK, Duche D, Kleanthous C, Lloubes R, Postle K, Riley M, Slatin S, Cavard D (2007) Colicin biology. Microbiol Mol Biol Rev 71:158–229
Chen IA, Nowak MA (2012) From prelife to life: how chemical kinetics become evolutionary dynamics. Acc Chem Res 45:2088–2096
Dadon Z, Wagner N, Ashkenasy G (2008) The road to non-enzymatic molecular networks. Angew Chem Int Ed 47:6128–6136
Gandhi N, Ashkenasy G, Tannenbaum E (2007) Associative learning in biochemical networks. J Theor Biol 249:58–66
Gorodetsky P, Tannenbaum E (2008) Effect of mutators on adaptability in time-varying fitness landscapes. Phys Rev E 77:042901
Itan E, Tannenbaum E (2010) Semiconservative quasispecies equations for polysomic genomes: the general case. Phys Rev E 81:061915
Itan E, Tannenbaum E (2012) Effect of chromosomal instability on the mutation-selection balance in unicellular populations. PLoS ONE 7:e26513
Kama A, Tannenbaum E (2010) Effect of the SOS response on the mean fitness of unicellular populations: a quasispecies approach. PLoS ONE 5:e14113
Kessler D, Levine H (1998) Mutator dynamics on a smooth evolutionary landscape. Phys Rev Lett 80:2012–2015
Kleiman M, Tannenbaum E (2009) Diploidy and the selective advantage for sexual reproduction in unicellular organisms. Theor Biosci 128:249–285
Knöppel A, Lind PA, Lustig U, Näsvall J, Andersson DI (2014) Minor fitness costs in an experimental model of horizontal gene transfer in bacteria. Mol Biol Evol 31:1220–1227
Lee B, Tannenbaum E (2007) Asexual and sexual replication in sporulating organisms. Phys Rev E 76:021909
Nilsson M, Snoad N (2000) Error thresholds for quasispecies on dynamic fitness landscapes. Phys Rev Lett 84:191–194
Obermayer B, Frey E (2009) Escalation of error catastrophe for enzymatic self-replicators. Europhys Lett 88:48006
Obermayer B, Frey E (2010) Error thresholds for self- and cross-specific enzymatic replication. J Theor Biol 267:653–662
Palmer ME, Lipsitch M (2006) The influence of hitchhiking and deleterious mutation upon asexual mutation rates. Genetics 173:461–472
Raz Y, Tannenbaum E (2010) The influence of horizontal gene transfer on the mean fitness of unicellular populations in static environments. Genetics 185:327–337
Raz Y, Tannenbaum E (2014) Repression/Depression of conjugative plasmids and their influence on the mutation-selection balance in static environments. PLoS ONE 9:e96839
Stadler PF, Schnabl W, Forst CV, Schuster P (1995) Dynamics of small autocatalytic reaction networks—II. Replication, mutation and catalysis. Bull Math Biol 57:21–61
Stadler B, Stadler PF, Schuster P (2000) Dynamics of autocatalytic replicator networks based on higher-order ligation reactions. Bull Math Biol 62:1061–1086
Tannenbaum E (2006a) Selective advantage for multicellular replicative strategies: a two-cell example. Phys Rev E 73:010904
Tannenbaum E (2006b) An RNA-centered view of eukaryotic cells. Biosystems 84:217–224
Tannenbaum E (2006c) Selective advantage for sexual reproduction. Phys Rev E 73:061925
Tannenbaum E (2007a) Extracting viability landscapes from mutagen-response experiments. J Theor Biol 245:37–43
Tannenbaum E (2007b) When does division of labor lead to increased system output? J Theor Biol 247:413–425
Tannenbaum E (2008a) Comparison of three replication strategies in complex multicellular organisms: asexual replication, sexual replication with identical gametes, and sexual replication with distinct sperm and egg gametes. Phys Rev E 77:011915
Tannenbaum E (2008b) Temporal differentiation and the optimization of system output. Phys Rev E 77:011922
Tannenbaum E (2008c) A comparison of sexual and asexual replication strategies in a simplified model based on the yeast life cycle. Theor Biosci 127:323–333
Tannenbaum E (2009a) Speculations on the emergence of self-awareness in big-brained organisms: the roles of associative memory and learning, existential and religious questions, and the emergence of tautologies. Conscious Cogn 18:414–4427
Tannenbaum E (2009b) Selective advantage for sexual reproduction with random haploid fusion. Theor Biosci 128:85–96
Tannenbaum E, Fontanari JF (2008) A quasispecies approach to the evolution of sexual replication in unicellular organisms. Theor Biosci 127:53–65
Tannenbaum E, Shakhnovich EI (2004a) Error and repair catastrophes: a two-dimensional phase diagram in the quasispecies model. Phys Rev E 69:011902
Tannenbaum E, Shakhnovich EI (2004b) Solution of the quasispecies model for an arbitrary gene network. Phys Rev E 70:021903
Tannenbaum E, Shakhnovich EI (2005) Semiconservative replication, genetic repair, and many-gened genomes: extending the quasispecies paradigm to living systems. Phys Life Rev 2:290–317
Tannenbaum E, Deeds EJ, Shakhnovich EI (2003) Equilibrium distribution of mutators in the single fitness peak model. Phys Rev Lett 91:138105
Tannenbaum E, Deeds EJ, Shakhnovich EI (2004a) Semiconservative replication in the quasispecies model. Phys Rev E 69:061916
Tannenbaum E, Sherley JL, Shakhnovich EI (2004b) Imperfect DNA lesion repair in the semiconservative quasispecies model: derivation of the Hamming class equations and solution of the single-fitness-peak landscape. Phys Rev E 70:061915
Tannenbaum E, Sherley JL, Shakhnovich EI (2005) Evolutionary dynamics of adult stem cells: comparison of random and immortal strand segregation mechanisms. Phys Rev E 71:041914
Tannenbaum E, Sherley JL, Shakhnovich EI (2006) Semiconservative quasispecies equations for polysomic genomes: the haploid case. J Theor Biol 241:791–805
von Kiedrowski G (1993) Minimal replicator theory. I. Parabolic versus exponential growth. Bioorg Chem Front 3:113–146
Wagner N, Ashkenasy G (2009) Symmetry and order in systems chemistry. J Chem Phys 130:164907
Wagner N, Pross A, Tannenbaum E (2010a) Selection advantage of metabolic over non-metabolic replicators: a kinetic analysis. Biosystems 99:126–129
Wagner N, Tannenbaum E, Ashkenasy G (2010b) Second order catalytic quasispecies yields discontinuous mean fitness at error threshold. Phys Rev Lett 104:188101
Wilke O (2005) Quasispecies theory in the context of population genetics. BMC Evol Biol 5:44
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Wagner, N., Atsmon-Raz, Y., Ashkenasy, G. (2015). Theoretical Models of Generalized Quasispecies. In: Domingo, E., Schuster, P. (eds) Quasispecies: From Theory to Experimental Systems. Current Topics in Microbiology and Immunology, vol 392. Springer, Cham. https://doi.org/10.1007/82_2015_456
Download citation
DOI: https://doi.org/10.1007/82_2015_456
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-23897-5
Online ISBN: 978-3-319-23898-2
eBook Packages: Biomedical and Life SciencesBiomedical and Life Sciences (R0)