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Dynamic fitness landscapes: expansions for small mutation rates

Wilke, Claus O.; Ronnewinkel, Christopher - In: Physica A: Statistical Mechanics and its Applications 290 (2001) 3, pp. 475-490

We study the evolution of asexual microorganisms with small mutation rate in fluctuating environments, and develop techniques that allow us to expand the formal solution of the evolution equations to first order in the mutation rate. Our method can be applied to both discrete time and continuous...

Persistent link: https://www.econbiz.de/10010872872

Optimal adaptive performance and delocalization in NK fitness landscapes

Campos, Paulo R.A; Adami, Christoph; Wilke, Claus O - In: Physica A: Statistical Mechanics and its Applications 304 (2002) 3, pp. 495-506

We investigate the evolutionary dynamics of a finite population of sequences adapting to NK fitness landscapes. We find that, unlike in the case of an infinite population, the average fitness in a finite population is maximized at a small but finite, rather than vanishing, mutation rate. The...

Persistent link: https://www.econbiz.de/10010872601

Fixation probability and the crossing time in the Wright–Fisher multiple alleles model

Gill, Wonpyong - In: Physica A: Statistical Mechanics and its Applications 388 (2009) 15, pp. 3124-3132

The fixation probability and crossing time in the Wright–Fisher multiple alleles model, which describes a finite haploid population, were calculated by switching on an asymmetric sharply-peaked landscape with a positive asymmetric parameter, r, such that the reversal allele of the optimal...

Persistent link: https://www.econbiz.de/10011060964

Dualities in population genetics: A fresh look with new dualities

Carinci, Gioia; Giardinà, Cristian; Giberti, Claudio; … - In: Stochastic Processes and their Applications 125 (2015) 3, pp. 941-969

We apply our general method of duality, introduced in Giardinà et al. (2007), to models of population dynamics. The classical dualities between forward and ancestral processes can be viewed as a change of representation in the classical creation and annihilation operators, both for diffusions...

Persistent link: https://www.econbiz.de/10011194115

Error Propagation in the Hypercycle

Campos, P. R. A.; Fontanari, J. F.; Stadler, P. F. - Santa Fe Institute - 1999

We study analytically the steady-state regime of a network of n error-prone self-replicating templates forming an asymmetric hypercycle and its error tail. We show that the existence of a master template with a higher non-catalyzed self-replicative productivity, a, than the error tail ensures...

Persistent link: https://www.econbiz.de/10005623628

Replication and Mutation on Neutral Networks

Reidys, Christian; Forst, Christian V.; Schuster, Peter - Santa Fe Institute - 1998

most of the evolutionarily relevant properties with them. <p> The theory of molecular quasispecies (in its simplest version … stochastic birth-and-death model. In analogy to the evolution of quasispecies in sequence space a phenotypic error threshold is … (ii) populations drifting through shape space in a diffusion-like process. The error classes of the quasispecies model are …

Persistent link: https://www.econbiz.de/10005790801

MOLECULAR REPLICATOR DYNAMICS

STADLER, BÄRBEL M. R.; STADLER, PETER F. - In: Advances in Complex Systems (ACS) 06 (2003) 01, pp. 47-77

Template-dependent replication at the molecular level is the basis of reproduction in nature. A detailed understanding of the peculiarities of the chemical reaction kinetics associated with replication processes is therefore an indispensible prerequisite for any understanding of evolution at the...

Persistent link: https://www.econbiz.de/10004977715

Molecular Insights into Evolution of Phenotypes

Schuster, Peter - Santa Fe Institute - 2000

process among genotypes. Phenotypes are represented only through empirical parameters. The quasispecies concept introduces the …

Persistent link: https://www.econbiz.de/10005740014

Punctuated evolution for the quasispecies model

Krug, Joachim; Karl, Christian - In: Physica A: Statistical Mechanics and its Applications 318 (2003) 1, pp. 137-143

Biological evolution in a sequence space with random fitnesses is studied within Eigen's quasispecies model. A strong …

Persistent link: https://www.econbiz.de/10011057110

Modeling viral coevolution: HIV multi-clonal persistence and competition dynamics

Bagnoli, F.; Liò, P.; Sguanci, L. - In: Physica A: Statistical Mechanics and its Applications 366 (2006) C, pp. 333-346

The coexistence of different viral strains (quasispecies) within the same host are nowadays observed for a growing … not yet been understood. We present a model of HIV quasispecies competition, which describes the conditions of viral … quasispecies coexistence under different immune system conditions. Our model incorporates both T and B cells responses, and we show …

Persistent link: https://www.econbiz.de/10011058645