Chaos in the Y-chromosome evolution?
Matheus P. Lobo, Edison T. Franco, Nilo M. Sotomayor, Felipe R. Costa
TL;DR
This paper investigates the chaotic behavior in Y-chromosome evolution, revealing that while X chromosomes exhibit chaos, Y chromosomes do not due to a specific mathematical constraint, supported by analytical solutions.
Contribution
It introduces a coupled logistic map model for XY chromosome evolution and explains why Y chromosomes do not evolve chaotically, unlike X chromosomes.
Findings
X chromosomes exhibit chaos in evolution.
Y chromosomes do not exhibit chaos due to a mathematical constraint.
Analytical solutions for the differential equations are provided.
Abstract
The Y-chromosome degeneration is still an intriguing mechanism and comprises the very origin of sex. We present a coupled version of the well known logistic map and the logistic equation describing the evolution of XY chromosomes. Although chaos was found in X, Y chromosomes do not evolve chaotically. A mathematical constraint is shown as the responsible for this behaviour. In addition, analytical solutions are presented for the differential equations herein.
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Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models · Evolutionary Game Theory and Cooperation · Evolution and Genetic Dynamics