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Dynamik von Zellpopulationen und ihre mathematische Beschreibung
Author(s) -
Bleecken S.
Publication year - 1973
Publication title -
zeitschrift für allgemeine mikrobiologie
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.58
H-Index - 54
eISSN - 1521-4028
pISSN - 0044-2208
DOI - 10.1002/jobm.19730130102
Subject(s) - population , chain (unit) , state variable , variable (mathematics) , biological system , mathematics , thermodynamics , physics , biology , mathematical analysis , demography , astronomy , sociology
The proposed mathematical model reduces the dynamic behaviour of a cell population to the structure and the kinetics of a cyclized process chain that is assumed to be the active part of the cellular control system coordinating DNA replication and cell division. The structure of the process chain, different for enterobacterial and eucaryontic systems, can be defined by three values. A significant feature of the theory is the concept of cell state which is equated to the state of the chain and which, besides time, is introduced as an independent variable. The temporal derivatives of the state variable are the kinetic parameters that depend via cell metabolism on the environmental conditions. The curved surface being the graphic correlate of the solution of the model gives a general view of the state‐time evolution of the cell population. The theory is used to analyse environmental shifts of bacterial and eucaryontic cell populations and to make predictions about the structure of the cyclized process chain.