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• W2949084593 abstract "Genetic systems with multiple loci can have complex dynamics. For example, mean fitness need not always increase and stable cycling is possible. Here, we study the dynamics of a genetic system inspired by the molecular biology of recognition-dependent double strand breaks and repair as it happens in recombination hotspots. The model shows slow-fast dynamics in which the system converges to the quasi-linkage equilibrium (QLE) manifold. On this manifold, sustained cycling is possible as the dynamics approach a heteroclinic cycle, in which allele frequencies alternate between near extinction and near fixation. We find a closed-form approximation for the QLE manifold and use it to simplify the model. For the simplified model, we can analytically calculate the stability of the heteroclinic cycle. In the discrete-time model the cycle is always stable; in a continuous-time approximation, the cycle is always unstable. This demonstrates that complex dynamics are possible under quasi-linkage equilibrium." @default.
• W2949084593 created "2019-06-27" @default.
• W2949084593 creator A5001909813 @default.
• W2949084593 creator A5007152164 @default.
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• W2949084593 creator A5016898841 @default.
• W2949084593 date "2019-05-09" @default.
• W2949084593 modified "2023-09-27" @default.
• W2949084593 title "Stable cycling in quasi-linkage equilibrium: fluctuating dynamics under gene conversion and selection" @default.
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• W2949084593 hasPublicationYear "2019" @default.
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