A. Polanski et al., DYNAMIC BALANCE OF SEGREGATION DISTORTION AND SELECTION MAINTAINS NORMAL ALLELE SIZES AT THE MYOTONIC-DYSTROPHY LOCUS, Mathematical biosciences, 147(1), 1998, pp. 93-112
Myotonic dystrophy (DM), an autosomal dominant neurological disorder,
is caused by CTG-repeat expansions at the DMPK locus, with affected in
dividuals having greater than or equal to 50 repeats of this trinucleo
tide. Reduced reproductive fitness of affected individuals and decreas
ed viability of congenital DM have been noted. Expanded CTG-repeat all
eles are highly unstable, predominantly yielding even higher repeat si
zes. Preferential transmission of longer alleles from heterozygous mot
hers within the normal size range of alleles also is observed. In view
of these observations, it is worth examining how DM has been maintain
ed in human populations for hundreds of generations. We present an ana
lysis of the dynamic properties of a model of joint effects of segrega
tion distortion and selection (intensity of which increases with allel
e sizes of an individual's genotype). Our mathematical formulation and
numerical analyses demonstrate that a weak segregation distortion dur
ing female meiosis, together with selection of comparable intensity (w
ithin the normal allele size range), can maintain an equilibrium distr
ibution of allele frequencies. Genetic drift, acting in conjunction wi
th the occasional contraction of alleles by mutation, can contribute t
o the balance of segregation distortion and mutation, in the sense tha
t even weaker selection can explain the observed allele frequencies. T
he model is applied to CTG-repeat size distributions at the DMPK locus
, observed in normal individuals from world populations. (C) 1998 Else
vier Science Inc.