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Shen, Y.-Y., Liang, L., Li, G.-S., Murphy, R.W. and Zhang, Y.-P. (2012) Parallel Evolution of Auditory Genes for Echolocation in Bats and Toothed Whales. PLOS Genetics, 8, e1002788.
https://doi.org/10.1371/journal.pgen.1002788
has been cited by the following article:
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TITLE:
Mathematical Challenges to Macroevolution
AUTHORS:
John B. Andelin
KEYWORDS:
Evolution, Convergence, Probability, Binomial Distribution Formula, Ex Post Facto Probability, Post-Hoc Probability, Modern Synthesis
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.11,
November
29,
2022
ABSTRACT: The theory of evolution was advanced by Darwin in 1859, prior to Mendel’s experiments demonstrating the particulate nature of inheritance. The modern synthesis was formulated in the early 1940s, well before the concept of coded information was understood. This paper outlines four mathematical challenges to the modern synthesis, which are based on current understanding of the proposed mechanisms of evolutionary change within the constraints of experimental molecular biology.