Stochastic Theory of Molecular Replication Processes with Selection Character | Zendy

Ebeling W. | Zendy; Feistel R. | Zendy

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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.

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