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. Author manuscript; available in PMC: 2015 Oct 1.

Published in final edited form as: J Theor Biol. 2014 Apr 13;355:170–184. doi: 10.1016/j.jtbi.2014.02.042

A The cumulative distribution function of the time to recurrence of a second field tumor is shown for three different scenarios, corresponding to u₂ = 2 · 10⁻³ (Regime 1), u₂ = 2 · 10⁻⁵ (Regime 2) and u₂ = 2 · 10⁻³ (Regime 2/3), respectively. The remaining parameters are d = 2, N = 2·10⁵, u₁ = 7.5·10⁻⁷, s₁ = s₂ = 0.1, t = E(σ₂). B Schematic of the relative initiation times of the primary tumor (yellow) and sizes of the local fields (blue), for the three scenarios in panel A. The numerical values for expected initiation time and local field size are: (a) (σ₂) = 123, Ê(R_l) = 8; (b) (σ₂) = 281, Ê(R_l) = 31; (c) (σ₂) = 474, Ê(R_l) = 55.

Inline graphic — A The cumulative distribution function of the time to recurrence of a second field tumor is shown for three different scenarios, corresponding to u₂ = 2 · 10⁻³ (Regime 1), u₂ = 2 · 10⁻⁵ (Regime 2) and u₂ = 2 · 10⁻³ (Regime 2/3), respectively. The remaining parameters are d = 2, N = 2·10⁵, u₁ = 7.5·10⁻⁷, s₁ = s₂ = 0.1, t = E(σ₂). B Schematic of the relative initiation times of the primary tumor (yellow) and sizes of the local fields (blue), for the three scenarios in panel A. The numerical values for expected initiation time and local field size are: (a) (σ₂) = 123, Ê(R_l) = 8; (b) (σ₂) = 281, Ê(R_l) = 31; (c) (σ₂) = 474, Ê(R_l) = 55.