ON THE MARTINGALE PROPERTY OF LIMITING DIFFUSION IN SPECIAL DIPLOID MODEL

2013 ◽  
Vol 31 (1_2) ◽  
pp. 241-246 ◽  
Author(s):  
Won Choi
Keyword(s):  
Martingale Property ◽  
Diploid Model

scholarly journals The Population Genetics of Synthetic Lethals

Genetics ◽  
1998 ◽  
Vol 150 (1) ◽  
pp. 449-458 ◽  
Author(s):  
Patrick C Phillips ◽  
Norman A Johnson
Keyword(s):  
Double Mutant ◽  
Single Locus ◽  
Single Mutation ◽  
Hybrid Breakdown ◽  
Selection Coefficient ◽  
Deleterious Alleles ◽  
Synthetic Lethals ◽  
Mutant Homozygote ◽  
Diploid Model

Abstract Synthetic lethals are variants at different loci that have little or no effect on viability singly but cause lethality in combination. The importance of synthetic lethals and, more generally, of synthetic deleterious loci (SDL) has been controversial. Here, we derive the expected frequencies for SDL under a mutation-selection balance for the complete haploid model and selected cases of the diploid model. We have also obtained simple approximations that demonstrate good fit to exact solutions based on numerical iterations. In the haploid case, equilibrium frequencies of carrier haplotypes (individuals with only a single mutation) are comparable to analogous single-locus results, after allowing for the effects of linkage. Frequencies in the diploid case, however, are much higher and more comparable to the square root of the single-locus results. In particular, when selection operates only on the double-mutant homozygote and linkage is not too tight, the expected frequency of the carriers is approximately the quartic root of the ratio between the mutation rate and the selection coefficient of the synthetics. For a reasonably wide set of models, the frequencies of carriers can be on the order of a few percent. The equilibrium frequencies of these deleterious alleles can be relatively high because, with SDL, both dominance and epistasis act to shield carriers from exposure to selection. We also discuss the possible role of SDL in maintaining genetic variation and in hybrid breakdown.

scholarly journals Martingale Property and Capacity under G-Framework

2010 ◽  
Vol 15 (0) ◽  
pp. 2041-2068 ◽  
Author(s):  
Jing Xu ◽  
Bo Zhang
Keyword(s):  
Martingale Property

On a “Martingale Property” of Franklin Series

2019 ◽  
Vol 45 (4) ◽  
pp. 803-815
Author(s):  
G. G. Gevorkyan
Keyword(s):  
Martingale Property ◽  
Franklin Series

scholarly journals On weak convergence of empirical processes for random number of independent stochastic vectors

1973 ◽  
Vol 73 (1) ◽  
pp. 139-144 ◽  
Author(s):  
Pranab Kumar Sen
Keyword(s):  
Weak Convergence ◽  
Sample Size ◽  
Random Sample ◽  
Random Number ◽  
Empirical Process ◽  
Empirical Processes ◽  
Random Sample Size ◽  
Martingale Property

AbstractBy the use of a semi-martingale property of the Kolmogorov supremum, the results of Pyke (6) on the weak convergence of the empirical process with random sample size are simplified and extended to the case of p(≥1)-dimensional stochastic vectors.

scholarly journals Spatially explicit non-Mendelian diploid model

2009 ◽  
Vol 19 (5) ◽  
pp. 1880-1920 ◽  
Author(s):  
N. Lanchier ◽  
C. Neuhauser
Keyword(s):  
Spatially Explicit ◽  
Diploid Model
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