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. Author manuscript; available in PMC: 2013 Aug 1.

Published in final edited form as: Bull Math Biol. 2012 May 26;74(8):1789–1817. doi: 10.1007/s11538-012-9736-y

The target cell level is assumed to be the pre-treatment steady state T₀. Thick solid line is the viral load and dashed line is the mutant frequency after therapy. t_s is the time at which the second-phase decline of wild-type virus begins, and t_r is the time at which the second-phase decline of drug resistant virus begins. Model parameters are: c = 6.2 day⁻¹ [34], δ = 0.14 day⁻¹ [34], μ = 10⁻⁴ per copied nucleotide [33], ε_s = 0.9997 [38], the Hill coefficient is h = 2 [69]. We assumed the mutant, for example T54A, confers 12-fold resistance and / =0.81 [23]. We obtained the eigenvalues λ₁ = −6.2, λ₂ = −0.14, λ₃ = −6.2048, λ₄ = −0.1352, and t_s = 1.33 day, t_r = 0.55 day.

Inline graphic — The target cell level is assumed to be the pre-treatment steady state T₀. Thick solid line is the viral load and dashed line is the mutant frequency after therapy. t_s is the time at which the second-phase decline of wild-type virus begins, and t_r is the time at which the second-phase decline of drug resistant virus begins. Model parameters are: c = 6.2 day⁻¹ [34], δ = 0.14 day⁻¹ [34], μ = 10⁻⁴ per copied nucleotide [33], ε_s = 0.9997 [38], the Hill coefficient is h = 2 [69]. We assumed the mutant, for example T54A, confers 12-fold resistance and / =0.81 [23]. We obtained the eigenvalues λ₁ = −6.2, λ₂ = −0.14, λ₃ = −6.2048, λ₄ = −0.1352, and t_s = 1.33 day, t_r = 0.55 day.