Multifactorial inheritance with selection
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We present an alternative model for multifactorial inheritance. By changing the way the malformation (and selection) is determined from the genetic information, we arrive at a model that can be properly handled in the mathematical sense. This includes the proof of population convergence and computation of conditional malformation probabilities in a closed form. We also present a comparison to similar models and results of fitting our model to Hungarian data.
- E. Czeizel and G. Tusnády, Aetiological Studies of Isolated Common Congenital Abnormalities in Hungary, Akadémiai Kiadó (Budapest, 1984).
- J. Edwards, The genetic basis of common disease, Am. J. Med., 34 (1963), 627–638. CrossRef
- L. Hatvani, F. Toókos and G. Tusnády, A mutation-selection-recombination model in population genetics, Dyn. Syst. Appl., 18 (2009), 335–362.
- S. Karlin, Models of multifactorial inheritance: I, multivariate formulations and basic convergence results* 1, Theor. Popul. Biol., 15 (1979), 308–355. CrossRef
- A. Mukherjea, M. Rao and S. Suen, A note on moment generating functions, Stat. Probab. Lett., 76 (2006), 1185–1189. CrossRef
- K. Sankaranarayanan, N. Yasuda, R. Chakraborty, G. Tusnády and A. Czeizel, Ionizing radiation and genetic risks. V. Multifactorial diseases: A review of epidemiological and genetic aspects of congenital abnormalities in man and of models on maintenance of quantitative traits in populations, Mutat. Res., Rev. Genet. Toxicol., 317 (1994), 1–23. CrossRef
- G. Tusnády, Mutation and selection, Magy. Tud., 7 (1997), 792–805 (in Hungarian).
- Multifactorial inheritance with selection
Acta Mathematica Hungarica
Volume 139, Issue 1-2 , pp 160-182
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- Springer Netherlands
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- multifactorial inheritance
- birth defect
- balance of selection and mutation