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Mathematical biophysics of cell division
The Bulletin of Mathematical Biophysics, 1943Summary: The new fundamental equation, based on the principle of maximum energy exchange, is applied to the case of elongation and constriction of a cell. A simple case is treated as an illustration, and it is shown that the elongation curves thus obtained are of the same character as in the old theory.
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Mathematical model for contact inhibited cell division
Journal of Theoretical Biology, 1983We present a mathematical model for cell growth, which takes into account cell-cell interactions and leads to non-exponential inhibited growth of number of cells. The resulting difference equation is solved and extended to a differential equation which turns out to be of a non-linear diffusion type.
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The creation of the NPL Mathematics Division
2005Abstract In April 1945, the journal Nature announced that the National Physical Laboratory would ‘extend its activities by the establishment of a Mathematics Division’. The new Mathematics Division was intended to act as a ‘central mathematics station’ and was the first of the three main centres of early electronic computer development ...
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Mathematical induction, difference equations and divisibility
International Journal of Mathematical Education in Science and Technology, 2009Many exercises in mathematical induction require the student to prove a divisibility property of a function of the integers. Such problems are generally presented as being independent of each other. However, many of these problems can be presented in terms of difference equations, and the theory of difference equations can be used to provide a uniform ...
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A mathematical procedure for machine division
Communications of the ACM, 1959openaire +2 more sources