Estimation of the Evolution Speed for the Quasispecies Model: Arbitrary Alphabet Case

  • Vladimir Red’ko
  • Yuri Tsoy
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4029)


The efficiency of the evolutionary search in M. Eigen’s quasispecies model for the case of an arbitrary alphabet (the arbitrary number of possible string symbols) is estimated. Simple analytical formulas for the evolution rate and the total number of fitness function calculations are obtained. Analytical estimations are proved by computer simulations. It is shown that for the case of unimodal fitness function of λ-ary strings of length N, the optimal string can be found during (λ– 1)N generations under condition that the total number of fitness function calculations is of the order of [(λ– 1)N]2.


Genetic Algorithm Analytical Estimation Sequential Search White Ball Evolutionary Search 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Vladimir Red’ko
    • 1
  • Yuri Tsoy
    • 2
  1. 1.Institute of Optical Neural TechnologiesRussian Academy of SciencesMoscowRussia
  2. 2.Computer Engineering DepartmentTomsk Polytechnic UniversityTomskRussia

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