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Recently, several authors have used stochastic simulations to study the fate of a single mutant that arises during an invasion (Edmonds et al. 2004; Klopfstein et al. 2005; Travis et al. 2007; Hallatschek and Nelson 2008).
As expected, at the time immediately prior to the antigenic mutant's emergence, Equation 8 reduce to Equations 1, 3. Given Equation 8, an antigenic mutant that arises in a background with i deleterious mutations initially has a net reproductive rate of: (9) R m (t = 0 ) = (β i μ + γ ) (S 0 N + σ S r N ), where we have defined time t in terms of the time since the antigenic mutant's emergence.
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The PPCD1 mouse, a spontaneous mutant that arose in our mouse colony, is characterized by an enlarged anterior chamber resulting from metaplasia of the corneal endothelium and blockage of the iridocorneal angle by epithelialized corneal endothelial cells.
The pale tremor mutant, Fig4 −/−, is derived from a spontaneous mutant that arose on a mixed inbred background (3).
The colony is initiated by a mutant that arose prior to plating and thus cannot be stress induced.
The growth rate of populations derived from different mutants that arose among the bacteria cultured with rif was significantly different, according to a one-way analysis of variance (not shown here).
The model will utilize experimental data on the types of mutants that arise in the context of different treatments.
In addition to the isolation of several zebrafish chromatophore mutants that arose spontaneously [12], [13], numerous mutagenesis screens have yielded over 100 mutations affecting various processes in the development of different combinations of the chromatophore types [6], [14] [17].
We then relate the net growth of mutant cells to the net growth of sensitive cells via the relative fitness (see Supplement S1); the mean mutant population at the time of detection is the sum of the descendants of all of the mutants that arose during the growth of the sensitive population.
The fraction of induced mutants that arose by this mechanism depended upon the inducing agent.
These results (seen in Figure 9) support the idea that revertant colonies are initiated by mutants that arise during nonselective pregrowth in liquid medium.
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