Patterns of Recombination and MLH1 Foci Density Along Mouse Chromosomes: Modeling Effects of Interference and Obligate Chiasma
Crossover interference in meiosis is often modeled via stationary renewal processes. Here we consider a new model to incorporate the known biological feature of "obligate chiasma" whereby in most organisms each bivalent almost always has at least one crossover. The initial crossover is mod...
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Published in | Genetics (Austin) Vol. 176; no. 3; pp. 1453 - 1467 |
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Main Authors | , , , , |
Format | Journal Article |
Language | English |
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United States
Genetics Soc America
01.07.2007
Genetics Society of America Oxford University Press Copyright © 2007 by the Genetics Society of America |
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Abstract | Crossover interference in meiosis is often modeled via stationary renewal processes. Here we consider a new model to incorporate the known biological feature of "obligate chiasma" whereby in most organisms each bivalent almost always has at least one crossover. The initial crossover is modeled as uniformly distributed along the chromosome, and starting from its position, subsequent crossovers are placed with forward and backward stationary renewal processes using a chi-square distribution of intercrossover distances. We used our model as well as the standard chi-square model to simulate the patterns of crossover densities along bivalents or chromatids for those having zero, one, two, or three or more crossovers; indeed, such patterns depend on the number of crossovers. With both models, simulated patterns compare very well to those found experimentally in mice, both for MLH1 foci on bivalents and for crossovers on genetic maps. However, our model provides a better fit to experimental data as compared to the standard chi-square model, particularly regarding the distribution of numbers of crossovers per chromosome. Finally, our model predicts an enhancement of the recombination rate near the extremities, which, however, explains only a part of the pattern observed in mouse. |
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AbstractList | Crossover interference in meiosis is often modeled via stationary renewal processes. Here we consider a new model to incorporate the known biological feature of "obligate chiasma" whereby in most organisms each bivalent almost always has at least one crossover. The initial crossover is modeled as uniformly distributed along the chromosome, and starting from its position, subsequent crossovers are placed with forward and backward stationary renewal processes using a chi-square distribution of intercrossover distances. We used our model as well as the standard chi-square model to simulate the patterns of crossover densities along bivalents or chromatids for those having zero, one, two, or three or more crossovers; indeed, such patterns depend on the number of crossovers. With both models, simulated patterns compare very well to those found experimentally in mice, both for MLH1 foci on bivalents and for crossovers on genetic maps. However, our model provides a better fit to experimental data as compared to the standard chi-square model, particularly regarding the distribution of numbers of crossovers per chromosome. Finally, our model predicts an enhancement of the recombination rate near the extremities, which, however, explains only a part of the pattern observed in mouse. Abstract Crossover interference in meiosis is often modeled via stationary renewal processes. Here we consider a new model to incorporate the known biological feature of “obligate chiasma” whereby in most organisms each bivalent almost always has at least one crossover. The initial crossover is modeled as uniformly distributed along the chromosome, and starting from its position, subsequent crossovers are placed with forward and backward stationary renewal processes using a chi-square distribution of intercrossover distances. We used our model as well as the standard chi-square model to simulate the patterns of crossover densities along bivalents or chromatids for those having zero, one, two, or three or more crossovers; indeed, such patterns depend on the number of crossovers. With both models, simulated patterns compare very well to those found experimentally in mice, both for MLH1 foci on bivalents and for crossovers on genetic maps. However, our model provides a better fit to experimental data as compared to the standard chi-square model, particularly regarding the distribution of numbers of crossovers per chromosome. Finally, our model predicts an enhancement of the recombination rate near the extremities, which, however, explains only a part of the pattern observed in mouse. Crossover interference in meiosis is often modeled via stationary renewal processes. Here we consider a new model to incorporate the known biological feature of "obligate chiasma" whereby in most organisms each bivalent almost always has at least one crossover. The initial crossover is modeled as uniformly distributed along the chromosome, and starting from its position, subsequent crossovers are placed with forward and backward stationary renewal processes using a chi-square distribution of intercrossover distances. We used our model as well as the standard chi-square model to simulate the patterns of crossover densities along bivalents or chromatids for those having zero, one, two, or three or more crossovers; indeed, such patterns depend on the number of crossovers. With both models, simulated patterns compare very well to those found experimentally in mice, both for MLH1 foci on bivalents and for crossovers on genetic maps. However, our model provides a better fit to experimental data as compared to the standard chi-square model, particularly regarding the distribution of numbers of crossovers per chromosome. Finally, our model predicts an enhancement of the recombination rate near the extremities, which, however, explains only a part of the pattern observed in mouse. [PUBLICATION ABSTRACT] Abstract Crossover interference in meiosis is often modeled via stationary renewal processes. Here we consider a new model to incorporate the known biological feature of “obligate chiasma” whereby in most organisms each bivalent almost always has at least one crossover. The initial crossover is modeled as uniformly distributed along the chromosome, and starting from its position, subsequent crossovers are placed with forward and backward stationary renewal processes using a chi-square distribution of intercrossover distances. We used our model as well as the standard chi-square model to simulate the patterns of crossover densities along bivalents or chromatids for those having zero, one, two, or three or more crossovers; indeed, such patterns depend on the number of crossovers. With both models, simulated patterns compare very well to those found experimentally in mice, both for MLH1 foci on bivalents and for crossovers on genetic maps. However, our model provides a better fit to experimental data as compared to the standard chi-square model, particularly regarding the distribution of numbers of crossovers per chromosome. Finally, our model predicts an enhancement of the recombination rate near the extremities, which, however, explains only a part of the pattern observed in mouse. |
Author | Mezard, C de Vienne, D Martin, O. C Falque, M Mercier, R |
AuthorAffiliation | UMR de Génétique Végétale, INRA, Université Paris-Sud, CNRS, AgroParisTech, F-91190 Gif-sur-Yvette, France, † Station de Génétique et d'Amélioration des Plantes, Institut Jean Pierre Bourgin, INRA, Route de Saint-Cyr, F-78026 Versailles Cedex, France and ‡ Université Paris-Sud, LPTMS, UMR8626, CNRS, F-91405, Orsay, France |
AuthorAffiliation_xml | – name: UMR de Génétique Végétale, INRA, Université Paris-Sud, CNRS, AgroParisTech, F-91190 Gif-sur-Yvette, France, † Station de Génétique et d'Amélioration des Plantes, Institut Jean Pierre Bourgin, INRA, Route de Saint-Cyr, F-78026 Versailles Cedex, France and ‡ Université Paris-Sud, LPTMS, UMR8626, CNRS, F-91405, Orsay, France |
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Snippet | Crossover interference in meiosis is often modeled via stationary renewal processes. Here we consider a new model to incorporate the known biological feature... Abstract Crossover interference in meiosis is often modeled via stationary renewal processes. Here we consider a new model to incorporate the known biological... Abstract Crossover interference in meiosis is often modeled via stationary renewal processes. Here we consider a new model to incorporate the known biological... |
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SubjectTerms | Adaptor Proteins, Signal Transducing Animals Chi-Square Distribution Chromatids Chromosomes, Mammalian Females Genetic recombination Genetics Investigations Kinetics Life Sciences Mice Models, Genetic MutL Protein Homolog 1 Nuclear Proteins Recombination, Genetic |
Title | Patterns of Recombination and MLH1 Foci Density Along Mouse Chromosomes: Modeling Effects of Interference and Obligate Chiasma |
URI | http://www.genetics.org/cgi/content/abstract/176/3/1453 https://www.ncbi.nlm.nih.gov/pubmed/17483430 https://www.proquest.com/docview/214139533/abstract/ https://search.proquest.com/docview/70723363 https://hal.science/hal-03818405 https://pubmed.ncbi.nlm.nih.gov/PMC1931555 |
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