The equilibrium distribution for a generalized Sankoff-Ferretti model accurately predicts chromosome size distributions in a wide variety of species
Publication
, Journal Article
Arkendra, DE; Ferguson, M; Sindi, S; Durrett, R
Published in: Journal of Applied Probability
January 1, 2001
Sankoff and Ferretti (1996) introduced several models of the evolution of chromosome size by reciprocal translocations, where for simplicity they ignored the existence of centromeres. However, when they compared the models to data on six organisms they found that their short chromosomes were too short, and their long chromosomes were too long. Here, we consider a generalization of their proportional model with explicit chromosome centromeres and introduce fitness functions based on recombination probabilities and on the length of the longest chromosome arm. We find a simple formula for the stationary distribution for our model which fits the data on chromosome lengths in many, but not all, species.
Duke Scholars
Published In
Journal of Applied Probability
DOI
ISSN
0021-9002
Publication Date
January 1, 2001
Volume
38
Issue
2
Start / End Page
324 / 334
Related Subject Headings
- Statistics & Probability
- 0104 Statistics
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Arkendra, D. E., Ferguson, M., Sindi, S., & Durrett, R. (2001). The equilibrium distribution for a generalized Sankoff-Ferretti model accurately predicts chromosome size distributions in a wide variety of species. Journal of Applied Probability, 38(2), 324–334. https://doi.org/10.1239/jap/996986747
Arkendra, D. E., M. Ferguson, S. Sindi, and R. Durrett. “The equilibrium distribution for a generalized Sankoff-Ferretti model accurately predicts chromosome size distributions in a wide variety of species.” Journal of Applied Probability 38, no. 2 (January 1, 2001): 324–34. https://doi.org/10.1239/jap/996986747.
Arkendra DE, Ferguson M, Sindi S, Durrett R. The equilibrium distribution for a generalized Sankoff-Ferretti model accurately predicts chromosome size distributions in a wide variety of species. Journal of Applied Probability. 2001 Jan 1;38(2):324–34.
Arkendra, D. E., et al. “The equilibrium distribution for a generalized Sankoff-Ferretti model accurately predicts chromosome size distributions in a wide variety of species.” Journal of Applied Probability, vol. 38, no. 2, Jan. 2001, pp. 324–34. Scopus, doi:10.1239/jap/996986747.
Arkendra DE, Ferguson M, Sindi S, Durrett R. The equilibrium distribution for a generalized Sankoff-Ferretti model accurately predicts chromosome size distributions in a wide variety of species. Journal of Applied Probability. 2001 Jan 1;38(2):324–334.
Published In
Journal of Applied Probability
DOI
ISSN
0021-9002
Publication Date
January 1, 2001
Volume
38
Issue
2
Start / End Page
324 / 334
Related Subject Headings
- Statistics & Probability
- 0104 Statistics
- 0102 Applied Mathematics