NDLI: Survival Chances of Mutants Starting With One Individual ( Journal of Biological Physics , Volume 31 , Issue 3-4 )

Content Provider	Springer Nature Link
Author	Kuhn, Christoph
Copyright Year	2005
Abstract	A simple theoretical model of a Darwinian system (a periodic system with a multiplication phase and a selection phase) of entities (initial form of polymer strand, primary mutant and satellite mutants) is given.First case: one mutant is considered. One individual of the mutant appears in the multiplication phase of the first generation. The probabilities to find N mutants W $_{n}$ $^{M}$(N) after the multiplication phase M of the n-th generation (with probability δ of an error in the replication, where all possible errors are fatal errors) and W $_{n}$ $^{S}$(N) after the following selection phase S (with probability β that one individual survives) are given iteratively. The evolutionary tree is evaluated. Averages from the distributions and the probability of extinction W $_{∞}$ $^{S}$(0) are obtained.Second case: two mutants are considered (primary mutant and new form). One individual of the primary mutant appears in the multiplication phase of the first generation. The probabilities to find N $_{p}$ primary mutants and N $_{m}$ of the new form W $_{n}$ $^{M}$(N $_{p}$, N $_{m}$) after the multiplication phase M of the n-th generation (probability ε of an error in the replication of the primary mutant giving the new form) and W $_{n}$ $^{S}$(N $_{p}$, N $_{m}$) after the following selection phase S (probabilities β$_{p}$ and β$_{m}$ that one individual each of the primary mutant and of the new form survives) are given iteratively. Again the evolutionary tree is evaluated. Averages from the distributions are obtained.
Starting Page	587
Ending Page	597
Page Count	11
File Format	PDF
ISSN	00920606
Journal	Journal of Biological Physics
Volume Number	31
Issue Number	3-4
e-ISSN	15730689
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2005-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Darwinian system multiplication error in replication selection initial form mutant satellite mutants Bernoulli polynomial probability distribution evolutionary tree complementary and anti-parallel replication plus-strand minus-strand translation apparatus origin of life Neurosciences Bioinformatics Polymer Sciences Statistical Physics Condensed Matter Biophysics/Biomedical Physics
Content Type	Text
Resource Type	Article
Subject	Cell Biology Atomic and Molecular Physics, and Optics Molecular Biology Biophysics

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