A single plaque of a recombinant virus carrying
the lacZ a-complementation sequence (258 bases) as
neutral mutational target (a = 1) was used to inoculate a large E. coli culture and incubated overnight (3). Viral DNA was extracted and transfected to
score null mutations in the lacZ sequence (based on the blue/white colony assay). After discarding 11 false positives, f = 117 / 199655, with 67 plaques
containing single-nucleotide substitutions and 50 containing indels (11
frameshifts and 39 deletions or rearrangements). In a previous study (1), it was determined
that Ts = 219. Thus, c
´ ms/n/c = 3 ´ 67 / 199655 / 219 = 4.6 ´ 10-6. For
indels, assuming Ti = 150
for frameshifts and Ti =
280 for other indels (see SNV (i) estimate), c ´ mi/n/c = 11 / 150 / 199655 + 39 / 280 /
199655 = 1.1 ´ 10-6. At the
very least, c = 3 (two cycles during
the formation of the plaque and another one during the infection of the liquid
culture). According to Drake (2), the
initial and final viral population sizes were 1 and ca. 1.0 ´ 1015. Our own data suggest that under relatively
optimal conditions, the exponential growth rate of the virus is ca 4.0 h-1
and the duration of the cell infection cycle is ca. 1 h. According to this and assuming exponential
growth, an increase in population size by a factor of 1.0 ´ 1015 would require approximately c = 8.6.
Taking the average of the 3 and 8.6, c
= 5.8. This gives ms/n/c =
4.6 ´ 10-6 / 5.8 = 7.9 ´ 10-7, mi/n/c = 1.1 ´ 10-6 / 5.8 = 1.9 ´ 10-7, and d = 0.19.
The main source of error in this estimate is the undetermined c-value.
This could lead to a maximal underestimation of 1.9-fold and a maximal
overestimation which, although not determined, probably does not exceed
1.5-fold.
1. Bebenek, K., J. Abbotts,
J. D. Roberts, S. H. Wilson, and T. A. Kunkel. 1989. Specificity and
mechanism of error-prone replication by human immunodeficiency virus-1 reverse
transcriptase. J Biol. Chem. 264:16948-16956.
2. Drake, J. W. 1991. A
constant rate of spontaneous mutation in DNA-based microbes. Proc. Natl. Acad. Sci. USA 88:7160-7164.
3. Kunkel, T. A. 1985. The mutational specificity of DNA polymerase-beta during in vitro
DNA synthesis. Production of frameshift, base
substitution, and deletion mutations. J Biol. Chem. 260:5787-5796.