Computers in Oncology
The purpose of this chapter is to show that the use of mathematical system techniques may be used to obtain insight into the mechanism of cell behavior. In particular, it will be shown that the mathematical model of a cell can be used to find the possible mechanism which explains why a normal cell suddenly becomes tumorous. This will be done by obtaining a mathematical model of a growing cell living in a culture medium, and then systematically examining the behavior of the cell when various disturbances are applied to different parts of the mathematical model of the cell. The motivation for applying such an approach is that mathematical system techniques have been highly successful in explaining and predicting the behavior of technical—industrial processes (see, e.g., Himmelblau and Bischoff, 1968) and recently have given insight into the mechanism of various biological processes (see, e.g., Mesarovic, 1968; Diamant et al., 1970; Palmby et al., 1974). There has been to the author’s knowledge no previous work done on this problem. The idea, however, of describing a cell using a mathematical model is not new. Pollard (1960) and Yeisley and Pollard (1964) described a cell using 5 and 7 differential equations, respectively. Heinmets (1964a, b, 1966) has modeled a cell using 19 differential equations to study various transient responses of the cell assuming no cell division takes place, and his qualitative model shall form the basis of the model to be described in this paper.
KeywordsRecovery Curve Cell Investigation Split Dose Radiation Factor Internal Pool
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