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Stochastic Theory of Molecular Replication Processes with Selection Character
Author(s) -
Ebeling W.,
Feistel R.
Publication year - 1977
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19774890202
Subject(s) - constant (computer programming) , replication (statistics) , statistical physics , character (mathematics) , markov process , computer science , markov chain , master equation , process (computing) , physics , quantum mechanics , mathematics , statistics , geometry , quantum , programming language , machine learning , operating system
The replication of molecular sequences, e.g. of biopolymers, is considered as a stationary Markov process. Following Eigen, two types of competing constraints are discussed: 1. Condition of constant overall number;2. constant supply of raw material. For both cases the master equations in the occupation number space are given and the relation to Eigens deterministic theory is discussed. A few computer calculations for the evolution of molecular sequences are given.