The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Some Problems of Stochastic Processes in Genetics
Open accessAbstract
In genetics, stochastic processes arise at all levels of organization ranging from subunits of the gene to natural populations. Types of stochastic processes involved are also diverse. In the present paper, the following five topics have been selected for mathematical discussion and new results are presented: (1) Random assortment of subunits of a gene. (2) Senescence in paramecium due to random assortment of chromosomes. (3) Process of natural selection in a finite population (interaction between selection and random genetic drift). (4) Chance of fixation of mutant genes. (5) Population structure and evolution. Finally it is pointed out that new mathematical techniques will be needed for a satisfactory treatment of Wright's theory of evolution.
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Citations
Cites
The genetical theory of natural selection
Fisher, R. A. (1930) · doi:10.5962/bhl.title.27468 · Cited by 17,617
A Mathematical Theory of Natural and Artificial Selection, Part V: Selection and Mutation
Haldane, J. B. S. (1927) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s0305004100015644 · Cited by 1,326
Cited by
The effect of linkage on limits to artificial selection
Hill, W. G., & Robertson, A. (1966) · Genetical Research · doi:10.1017/s0016672300010156 · Cited by 1,823
Hermisson (2005) · doi:10.1534/genetics.104.036947 · Cited by 1,009
On the constancy of the evolutionary rate of cistrons
Ohta, T., & Kimura, M. (1971) · Journal of Molecular Evolution · doi:10.1007/bf01659391 · Cited by 322
Self-citationQuantifying Temporal Genomic Erosion in Endangered Species
Díez-del-Molino, D., Sánchez-Barreiro, F., Barnes, I., Gilbert, M. T. P., & Dalén, L. (2018) · Trends in Ecology & Evolution · doi:10.1016/j.tree.2017.12.002 · Cited by 258
On the rate of molecular evolution
Kimura, M., & Ohta, T. (1971) · Journal of Molecular Evolution · doi:10.1007/bf01659390 · Cited by 195
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Metadata
- Authors
- Kimura, M.
- Venue
- The Annals of Mathematical Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1957-12
- Volume
- 28
- Issue
- 4
- Pages
- 882-901
- ISSN
- 0003-4851 (ISSN-L)
- OpenAlex
- W2025777882
- Cited by
- 445
- References
- 2
- FWCI
- 2.70
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Kimura, M. (1957). Some Problems of Stochastic Processes in Genetics. The Annals of Mathematical Statistics. https://doi.org/10.1214/aoms/1177706791
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
