Evolution models with base substitutions, insertions, deletions, and selection. 2008

D B Saakian
Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan. saakian@yerphi.am

The evolution model with parallel mutation-selection scheme is solved for the case when selection is accompanied by base substitutions, insertions, and deletions. The fitness is assumed to be either a single-peak function (i.e., having one finite discontinuity) or a smooth function of the Hamming distance from the reference sequence. The mean fitness is calculated exactly in large-genome limit. In the case of insertions and deletions the evolution characteristics depend on the choice of reference sequence.

UI MeSH Term Description Entries
D008957 Models, Genetic Theoretical representations that simulate the behavior or activity of genetic processes or phenomena. They include the use of mathematical equations, computers, and other electronic equipment. Genetic Models,Genetic Model,Model, Genetic
D009154 Mutation Any detectable and heritable change in the genetic material that causes a change in the GENOTYPE and which is transmitted to daughter cells and to succeeding generations. Mutations
D001483 Base Sequence The sequence of PURINES and PYRIMIDINES in nucleic acids and polynucleotides. It is also called nucleotide sequence. DNA Sequence,Nucleotide Sequence,RNA Sequence,DNA Sequences,Base Sequences,Nucleotide Sequences,RNA Sequences,Sequence, Base,Sequence, DNA,Sequence, Nucleotide,Sequence, RNA,Sequences, Base,Sequences, DNA,Sequences, Nucleotide,Sequences, RNA
D012641 Selection, Genetic Differential and non-random reproduction of different genotypes, operating to alter the gene frequencies within a population. Natural Selection,Genetic Selection,Selection, Natural
D016254 Mutagenesis, Insertional Mutagenesis where the mutation is caused by the introduction of foreign DNA sequences into a gene or extragenic sequence. This may occur spontaneously in vivo or be experimentally induced in vivo or in vitro. Proviral DNA insertions into or adjacent to a cellular proto-oncogene can interrupt GENETIC TRANSLATION of the coding sequences or interfere with recognition of regulatory elements and cause unregulated expression of the proto-oncogene resulting in tumor formation. Gene Insertion,Insertion Mutation,Insertional Activation,Insertional Mutagenesis,Linker-Insertion Mutagenesis,Mutagenesis, Cassette,Sequence Insertion,Viral Insertional Mutagenesis,Activation, Insertional,Activations, Insertional,Cassette Mutagenesis,Gene Insertions,Insertion Mutations,Insertion, Gene,Insertion, Sequence,Insertional Activations,Insertional Mutagenesis, Viral,Insertions, Gene,Insertions, Sequence,Linker Insertion Mutagenesis,Mutagenesis, Linker-Insertion,Mutagenesis, Viral Insertional,Mutation, Insertion,Mutations, Insertion,Sequence Insertions
D017384 Sequence Deletion Deletion of sequences of nucleic acids from the genetic material of an individual. Deletion Mutation,Deletion Mutations,Deletion, Sequence,Deletions, Sequence,Mutation, Deletion,Mutations, Deletion,Sequence Deletions
D055592 Biophysical Phenomena The physical characteristics and processes of biological systems. Biophysical Concepts,Biophysical Processes,Biophysical Phenomenon,Biophysical Process,Biophysical Concept,Concept, Biophysical,Concepts, Biophysical,Phenomena, Biophysical,Phenomenon, Biophysical,Process, Biophysical,Processes, Biophysical
D019143 Evolution, Molecular The process of cumulative change at the level of DNA; RNA; and PROTEINS, over successive generations. Molecular Evolution,Genetic Evolution,Evolution, Genetic

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