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On Some Application of Non‐Homogeneous Semi‐Markov Processes
Author(s) -
Wajda W.
Publication year - 1989
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710310407
Subject(s) - homogeneous , markov process , markov chain , markov renewal process , mathematics , markov model , markov property , markov kernel , continuous time markov chain , state (computer science) , variable order markov model , statistical physics , statistics , algorithm , combinatorics , physics
In this paper a non‐homogeneous semi‐Markov process is applied to a study of the behaviour of a cell after irradiation. The definition and main properties of the non‐homogeneous semi‐Markov process are reminded. Moreover one assumes that the cell may stay in one of four states namely, normal state, damaged state 1, damaged state 2, state of death, which are defined. Using the results of the theory of non‐homogeneous semi‐Markov processes and Markov renewal theory the characteristics of interest pertaining to the cell behaviour are studied.