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DTSTAMP:20261009T210627Z
SUMMARY:Biomathematics Seminar (Roman Belevkin)
DESCRIPTION:Mutation and Recombination: How they differ—Lessons from math
 ematical analysis\n \nAuthor: Roman V. Belavkin (Faculty of Science and T
 echnology\, Middlesex University\, London NW4 4BT\, UK)\nAbstract:\nMutati
 on and recombination of DNA strings are two most important mechanisms used
  by biological organisms during replication that allow them to inherit old
  and evolve new traits.  Mutation is a random substitution of some letter
 s in the parent string by any other letters from the alphabet.  Recombina
 tion\, on the other hand\, is a substitution of some letters in one parent
  string by the letters from another string.  Inspired by Fisher’s geome
 tric approach to study beneficial mutations\, we have analysed probabiliti
 es of beneficial mutation and crossover recombination.  We consider mutat
 ions and recombinations that reduce the distance to an optimum as benefici
 al.  Geometric and combinatorial analysis has revealed new interesting di
 fferences and properties of these probabilities.  While mutation can pote
 ntially reach any part of the search space\, the probability of beneficial
  mutation decreases with distance to an optimum\, and the optimal mutation
  radius or rate should also decrease resulting in a slow-down of evolution
  near the optimum.  Crossover recombination\, on the other hand\, acts in
  a subspace of the search space defined by the current population of strin
 gs.  However\, probabilities of beneficial and deleterious crossover are 
 balanced\, and their characteristics\, such as variance\, are translation 
 invariant in a Hamming space\, suggesting that recombination may complemen
 t mutation and boost the rate of evolution near the optimum.\nThese result
 s have been recently published in the Annals of Mathematics and Artificial
  Intelligence:\nBelavkin\, R.V. (2025). Analysis and Optimization of Proba
 bilities of Beneficial Mutation and Crossover Recombination in a Hamming S
 pace.\nhttp://dx.doi.org/10.1007/s10472-025-09987-5\nPrevious work was in 
 collaboration with Christopher Knight\, Rok Krasovec\, Huw Richards\, Dann
 a R. Gifford from the University of Manchester and Alastair Channon\, Eliz
 abeth Aston from the University of Keele\, United Kindgom.\nSome of the re
 sults were reported in:\nBelavkin\, R. V.\, Channon\, A.\, Aston\, E.\, As
 ton\, J.\, Krasovec\, R.\, Knight\, C. G. (2016). Monotonicity of Fitness 
 Landscapes and Mutation Rate Control. Journal of Mathematical Biology\, Sp
 ringer.\nhttp://dx.doi.org/10.1007/s00285-016-0995-3\nKrasovec\, R.\, Bela
 vkin\, R.\, Aston\, J.\, Channon\, A.\, Aston\, E.\, Rash\, B.\, Kadirvel\
 , M.\, Forbes\, S.\, Knight\, C. (2014). Mutation-rate-plasticity in rifam
 picin resistance depends on Escherichia coli cell-cell interactions. Natur
 e Communications\, Vol. 5\, No. 3742.\nhttp://dx.doi.org/10.1038/ncomms474
 2\nKrasovec\, R.\, Richards\, H.\, Gifford\, D. R.\, Hatcher\, C.\, Faulkn
 er\, K. J.\, Belavkin\, R. V.\, Channon\, A.\, Aston\, E.\, McBain\, A. J.
 \, Knight\, C. G. (2017). Spontaneous mutation rate is a plastic trait ass
 ociated with population density across domains of life\, PLOS Biology.\nht
 tp://doi.org/10.1371/journal.pbio.2002731
URL:https://www.imperial.ac.uk/events/214914/biomathematics-seminar-roman-b
 elevkin/
DTSTART;TZID=Europe/London:20261012T130000
DTEND;TZID=Europe/London:20261012T140000
LOCATION:140\, Huxley Building\, South Kensington Campus\, Imperial College
  London\, London\, SW7 2AZ\, United Kingdom
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