| Abstract: |
| In mathematical biology, researches to explain various natural phenomena using analytical or stochastic results are actively conducted and many excellent results are obtained. In this presentation, I would like to introduce examples of application of probability theory to radiation biology and ecology ;and to point out mathematical problems appearing there.
Radicals are generated along the track of radiation and diffuse through the aqueous solution to approach the DNA and generate damages. Since the spacing of the radicals on the track is considered to approximate the exponential distribution, this problem can be thought of as the relation between a counting process and DNA damages.
On the other hand, it is known that the ecology of emergence of insects is closely related to mating, the phenomenon in which the peak of emergence of males precedes that of females (protandry) is said to be male`s tactic. However, as for cicadas, little is known about the relationship between emergence ecology and mating. Therefore, investigating the relationship between the temporal distribution of emergence of cicada and the copulation rate is important in considering the the evolution of copulation system. |
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