A CHARACTERIZATION OF CROSSOVER MODELS THAT POSSESS MAP FUNCTIONS

被引:4
作者
EVANS, SN
MCPEEK, MS
SPEED, TP
机构
[1] Univ Calif Berkeley, Dept Stat, Berkeley, CA 94720
关键词
D O I
10.1006/tpbi.1993.1004
中图分类号
Q14 [生态学(生物生态学)];
学科分类号
071012 ; 0713 ;
摘要
This paper concerns genetic map functions and a particular probability model for crossovers. S. Karlin and U. Liberman (1979, Adv. Appi. Prob. 11, 479-501) and N. Risch and K. Lange (1979, Biometrics39, 949-963) independently introduced what the former called the count-location (point) process model for crossovers, which leads to a probability model for multilocus recombination under the assumption of no chromatid interference. U. Liberman and S. Karlin (1984, Theor. Popul. Biol. 25, 331-346) later explored the constraints on genetic map functions resulting from the requirement that they be realisable in terms of a probability model for multilocus recombination. In this note we prove that under the assumption of no chromatid interference, the class of probability models for multilocus recombination that possess map functions is precisely the class of count-location processes. As a consequence, we give a complete analytic characterisation of the functions that can arise as map functions for some probability model of multilocus recombination under the assumption of no chromatid interference. © 1993 Academic Press. All rights reserved.
引用
收藏
页码:80 / 90
页数:11
相关论文
共 13 条
[1]  
Blumenthal R.M., 1968, MARKOV PROCESSES POT
[2]  
FELSENSTEIN J, 1979, GENETICS, V91, P769
[3]  
HALDANE JSB, 1919, J GENET, V8, P229
[4]  
Kallenberg O., 1983, RANDOM MEASURES
[5]   NATURAL CLASS OF MULTILOCUS RECOMBINATION PROCESSES AND RELATED MEASURES OF CROSSOVER INTERFERENCE [J].
KARLIN, S ;
LIBERMAN, U .
ADVANCES IN APPLIED PROBABILITY, 1979, 11 (03) :479-501
[6]  
KARLIN S, 1984, ADV APPL PROBAB, V15, P471
[7]   COMMENTS ON LACK OF INTERFERENCE IN 4 STRAND MODEL OF CROSSING OVER [J].
LANGE, K ;
RISCH, N .
JOURNAL OF MATHEMATICAL BIOLOGY, 1977, 5 (01) :55-59
[8]   THEORETICAL-MODELS OF GENETIC-MAP FUNCTIONS [J].
LIBERMAN, U ;
KARLIN, S .
THEORETICAL POPULATION BIOLOGY, 1984, 25 (03) :331-346
[9]   Crossing-over [J].
Mather, K .
BIOLOGICAL REVIEWS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1938, 13 (03) :252-292
[10]  
RISCH N, 1979, ANN HUM GENET, V43, P61, DOI 10.1111/j.1469-1809.1979.tb01549.x