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. Author manuscript; available in PMC: 2014 Mar 21.
Published in final edited form as: J Stat Mech. 2013 Jan 16;2013:P01010. doi: 10.1088/1742-5468/2013/01/P01010

Table 3.

Estimates of the escape rate in the model where the initial frequency of the escape variant is constrained to be lower than fc = 10−4. In the 1st column we list the epitopes in which escape occurs. In the 2nd column we list estimates of the escape rate assuming a constant escape rate and using eqn. (10) and eqn. (16) with a penalizing term 10105(f0fc) added to the log likelihood. Model fits are shown in Figure 3A. In the 4th and 5th columns we list estimates of the initial escape rate and the rate of decline of the escape rate assuming that the escape rate declines over time using eqn. (13) and eqn. (16). Fits are shown in Figure 3B.

Model Constant ε Decreasing ε

epitope ε, day−1 ε0 day−1 a, day−1

Pol80* 0.06 2.55 0.09
Rev49 0.05 0.07 0.01
Vif113* 0.03 0.76 0.02
Gag389 0.27 0.53 0.04
Nef185* 0.51 1.04 0.08

For the 3 epitopes indicated by * allowing the escape rate to change over time significantly improved the quality of the model fit to data (likelihood ratio test, p < 0.0001).