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The frequency fluctuations will be determined by a standard model of selection as found in any basic population genetics text. In this scenario they take a very basic form: during each long period $i$ the frequency of $A_1$ increases from $f_i$ to $f_i\cdot (1+s_1)^{n_1}$ and during each short period $j$ the frequency of $A_1$ decreases from $f_j$ to ...


2

That's an interesting model, because mosquitoes are vectors for serious illnesses, so are pretty well studied. One team of scientists are working on genetically altering mosquitoes in Africa to make them unable to transmit the parasite that causes malaria. As the mosquitoes breed, it spreads through the population. In an interview, the lead researcher ...


2

Your logic looks correct to me. Essentially, what you are doing is uniformly distributing the regulator among the available mRNA. Note that even when using Hill functions to model transcription, the ratio of transcription factor (TF) concentration to the number of TF binding sites must be large - otherwise, you would have to consider binding ratios even at ...


6

This question is really asking for examples, and the list of ways that knowledge of physics can be used in biology could be very long. However, here are a couple of examples: Systems ecology, especially with regard to energy and nutrient flow. This type of ecology can be strongly influenced by physics. For one example see the book Theoretical Ecosystem ...


1

Regarding the equivalence of MLS and kin selection, here is how I see the equivalence between these two approaches to selection. MLS says that cooperation is favored when the response to between-group selection outweighs within-group selection. Price's equation tells us that this happens when the genetic variance between-groups is higher than the genetic ...


2

I'd like to add a few books to to the above suggestions. The book by Sean Rice "Evolutionary Theory: Mathematical and Conceptual Foundations" covers a lot of ground, including allele-based models, quantitative genetics, Price's formalism, and MLS. If you're interested in social evolutionary models, I found R. McElreath and R. Boyd "Mathematical Models for ...



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