Stochastic Methods in Biology Proceedings of a Workshop held in Nagoya, Japan July 8–12 1985
The use of probabilistic methods in the biological sciences has been so well established by now that mathematical biology is regarded by many as a distinct dis cipline with its own repertoire of techniques. The purpose of the Workshop on sto chastic methods in biology held at Nagoya University dur...
| Other Authors: | , , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1987, 1987
|
| Edition: | 1st ed. 1987 |
| Series: | Lecture Notes in Biomathematics
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 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 Kimura’s 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 Oosawa’s 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 Lévy 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