Title | Stochastic Methods in Biology [electronic resource] : Proceedings of a Workshop held in Nagoya, Japan July 8-12 1985 / edited by Motoo Kimura, Gopinath Kallianpur, Takeyuki Hida |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1987 |
Connect to | http://dx.doi.org/10.1007/978-3-642-46599-4 |
Descript | VI, 229 p. online resource |
I. Population genetics -- [1] A stochastic model of compensatory neutral evolution -- [2] Some models for treating evolution of multigene families and other repetitive DNA sequences -- [3] A genealogical description of the infinitely-many neutral alleles model -- [4] Equilibrium measures of the stepping stone model with selection in population genetics -- [5] Asymptotic properties for Kimuraโs diffusion model with altruistic allele -- II. Measure-valued diffusion processes related to population genetics -- [6] The infinitely-many-alleles model with selection as a measure-valued diffusion -- [7] Multi-allelic Gillespie-Sato diffusion models and their extension to infinite allelic ones -- [8] Stationary distribution of a diffusion process taking values in probability distributions on the partitions -- III. Neurophysiology -- [9] Weak convergence of stochastic neuronal models -- [10] Note on the Ornstein-Uhlenbeck process model for stochastic activity of a single neuron -- IV. Fluctuation in living cells -- [11] Fluctuation in living cells: effect of field fluctuation and asymmetry of fluctuation -- [12] Some aspects of Oosawaโs equation -- V. Mathematical methods related to other problems in biology, epidemiology, population dynamics, etc. -- [13] Problems of epidemic modelling -- [14] Markov semigroups associated with one-dimensional Lรฉvy operators --regularity and convergence-- -- [15] On some conditions for diffusion processes to stay on the boundary of a domain -- [16] The point interaction approximation for diffusion in regions with many small holes -- [17] Unimodality and bounds of modes for distributions of generalized sojourn times -- [18] Fluctuation in population dynamics