Abstract
The telegraph equation with a drift term to determine an asymmetric random walk is applied to the behavior of paramecia to accumulate at their optimal temperature in the presence of temperature gradient. From this equation, the following two points are clarified; 1, the stationary solution of the equation explains that the observed stationary distribution of the cells decreases exponentially from their optimal position, and 2, on a kind of paramecium that begins to accumulate at the optimal temperature after the treatment with riboflavin, the calculated transition time from a random distribution to the stationary distribution agrees with the observed transition time, 3 minutes.
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