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Titlebook: Stochastic Methods in Biology; Proceedings of a Wor Motoo Kimura,Gopinath Kallianpur,Takeyuki Hida Conference proceedings 1987 Springer-Ver

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Asymptotic Properties for Kimura’s Diffusion Model with Altruistic Allele M. Kimura. We first enumerate the stationary distributions for the relative gene frequencies of the altruistic allele and inspect their stability. According to the regions of the parameters, we divide the model into seven cases. In the three of them, there are only ‘trivial’ stationary distribution
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Stationary Distribution of a Diffusion Process Taking Values in Probability Distributions on the Pardiscuss an n locus haploid model in which mutation, gene conversion and random drift are taken into consideration. Since we are concerned only with the average identity probability at different loci on one chromosome, random partitions of the number n determined by chromosomes with n loci should be
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Fluctuation in Living Cells: Effect of Field Fluctuation and Asymmetry of Fluctuationn. The spikelike fluctuation triggers transient reversal of ciliary beating and causes discontinuous change of the swimming direction. A positive shift of the basic potential increases the probability of the spikelike fluctuation. The spike is generated by opening of electric field-sensitive channel
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Problems of Epidemic Modellingto provide more than a partial flavor of recent developments. We shall concentrate on three topics: epidemic data fitting, matrix-geometric methods for general epidemics, and the duration of an epidemic in an immigration type model. These will provide a sample of current research problems.
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