Let me repost the question since no answer has been seen. I'm considering a set which is described by the intersection of two convex sets in a discrete domain. We assume that the sum of elements of each vector is the same. For instance, $S = \{(2, 2, 2, 2), (3, 2, 2, 1), (2, 3, 2, 1), (2, 2, 3, ...

So this was originally a question posted here https://math.stackexchange.com/questions/3333252/differential-geometry-applied-to-biology. But I'll ask again here to see if I can get some different answers. I'm looking for current areas of research which apply techniques from differential geometr...

What are some examples of successful mathematical attempts in clinical setting, specifically at the patient-disease-drug level? To clarify, by patient-disease-drug level, I mean the mathematical work is approved to be used as part of a decision making process to prescribe a specific treatment fo...

My question is pure mathematics when restricted to the cellular automata theory. John von Neumann got the grasp of and defined life. Many years later biologists supported von Neumann's definition of life by discovering DNA and modern genetics. Life is possible and is based on the following prem...

I would like to know what is the purpose of using the term $P\over (k+P)$ in the following. I found it when reading the article found here but it was commonly used in few other related articles . Is this similar to a logistic function? What is the advantage of using this instead of a logist...

In an interview (I link the Google translation), Voevodsky talks about how, in the late 2000s, he worked on the problem of "restoring the history of populations according to their modern genetic composition". Some of his unpublished papers on this topic are now available online. For example, a pa...

I am studying a biological system (HIV) and arrived at this simplified dynamical system: \begin{align} x_1' &= a_1 + a_2x_2 - a_1x_2 - a_4x_1 - a_5\frac{1+a_6x_3}{1+a_7x_3}x_1\\ x_2' &= a_5\frac{1+a_6x_3}{1+a_7x_3}x_1 - a_2x_2\\ x_3' &= a_8x_1 - a_9x_3 \end{align} Where as the context and notati...

I have the following simple dynamical system: \begin{align} x_1' &= a - f(x_2)x_1\\ x_2' &= bx_1 - cx_2, \end{align} where all parameters and initial conditions are positive. $f(x_2)$ is a positive and increasing function with respect to $x_2$. Suppose I want to study the asymptotic behavior of t...