THE NUMBER OF GENOTYPIC ASSIGNMENTS ON A GENEALOGY .1. THE METHOD ANDSIMPLE EXAMPLES

Citation
N. Camp et al., THE NUMBER OF GENOTYPIC ASSIGNMENTS ON A GENEALOGY .1. THE METHOD ANDSIMPLE EXAMPLES, IMA journal of mathematics applied in medicine and biology, 11(2), 1994, pp. 95-106
Citations number
15
Categorie Soggetti
Mathematical Methods, Biology & Medicine","Biology Miscellaneous","Mathematics, Miscellaneous
ISSN journal
02650746
Volume
11
Issue
2
Year of publication
1994
Pages
95 - 106
Database
ISI
SICI code
0265-0746(1994)11:2<95:TNOGAO>2.0.ZU;2-S
Abstract
This paper demonstrates how the number of possible genotypic assignmen ts consistent with the rules of Mendelian genetics and with any known phenotypes can be calculated for an arbitrary genealogy. This is of in terest both in the context of the uses of the Metropolis algorithm for pedigree analysis and in its own right. Bounds on the number of state s for certain regular and random genealogies are also obtained, and fu rther results will be given in a later paper.