Biomedical subjects
Publications and source records attributed to V T Stefanov.
A general integral for birth-death Markov processes is considered. A closed form expression is provided for its expected value in terms of the birth and death rates. A simple route for numerical evaluation of its variance is also suggested.
A methodology is introduced for numerical evaluation, with any given accuracy, of the cumulative probabilities of the proportion of genome shared identical by descent (IBD) on chromosome segments by two individuals in a grandparent-type relationship. Programs are provided in the popular software package Maple for rapidly implementing such evaluations in the cases of grandchild-grandparent and great-grandchild-great-grandparent relationships. Our results can be used to identify chromosomal segments that may contain disease genes. Also, exact P values in significance testing for resemblance of either a grandparent with a grandchild or a great-grandparent with a great-grandchild can be calculated. The genomic continuum model, with Haldane's model for the crossover process, is assumed. This is the model that has been used recently in the genetics literature devoted to IBD calculations. Our methodology is based on viewing the model as a special exponential family and elaborating on recent research results for such families.