# Tagged Questions

For questions regarding mathematical concepts with applications to Biology.

12 views

### Line spacing for scaffold porosity calculations

I'm trying to calculate the correct distance to achieve a certain porosity in a 3D printed scaffold. The scaffold is circular with fixed distances between lines of printed material, with alternating ...
24 views

### Biostatistics Sampling Distributions

I am so confused, can someone please help? The activity of a certain enzyme is measured by counting emissions from a radioactively labeled molecule. For a given tissue specimen, the counts in ...
63 views

13 views

### Using partial derivatives to optimise an animal foraging model in R

I'm developing a foraging model for a bird and want to determine what aspects of its foraging behaviour would be most beneficial for it to optimise in order to increase its time at sea. I think ...
30 views

### Linear Algebra and Biology

Would it make more sense for a biology student to study two semesters of calculus during first year (dealing with derivatives in the first semester and integrals in the second) or to study one unit of ...
25 views

### FitzHugh–Nagumo system with diffusion

I was studying the FitzHugh-Nagumo model with diffusion and I quite do not understand the meaning of it. If we consider the system without diffusion, \label{FHN}\begin{cases} \dot{u}=...
52 views

### Genetic algebras; what should a mathematician know about them?

I recently learned that genetic algebras are a thing, which means there is a link between abstract algebra and genetics. Question: What should I (wearing my mathematician's hat) know about them? ...
26 views

### Programming Bifurcation analysis

Next year I'm going to do my final project for graduation. I've been assigned to search and study some biomathematical models with bifurcation theory and numerical bifurcation analysis. I'm thinking ...
24 views

### Building a hidden markov model with an absorbing state.

I'm working on trying to implement a hidden markov model to model the affect of a specific protein that can cut an RNA when the ribosome is translating the RNA slowly. Some brief background: The ...
14 views

### How to calculate diffusion with different units

I need to find out the intial diffusion rate across membrane. I know the formula of J=DA(C1-C2) but i am confused about how to make the calculations I also know the following: 1) Na+ concentrations ...
16 views

### A rate model for sodium channels

I am studying by myself Human Physiology. I have encountered the following question: In the following given model of sodium channel with 3 states open closed blocked (which I assume means inactivated)...
13 views

### emmission probabilities in a hidden markov model with 2 states and an alphabet of 4 characters

I'm reading through a text that is describing how to use use hidden markov models to identify areas of biological sequences that correspond to specific biological features. It starts with a simple ...
36 views

### Mean time time until fixation in the Wright-Fisher model

I was reading these notes on mathematical population genetics, and they have a derivation of the mean time ($\tau$) until either of the alleles fix, in the Wright-Fisher model. They get, in page 12, ...
40 views

### Cool applications of reaction diffusion equations

I was thinking my undergrad thesis could be about reaction diffusion equations and their application to biology. For example, I know about pattern formation on the coat of animals, but I was told the ...
30 views

79 views

### An easy reference for genetic algorithm

My field is Coding Theory and my background is Algebraic, there are many applications of Genetic Algorithm in Coding Theory, I would to know the easiest and the most elementary and introductory note ...
109 views

### Applications of Biology in Mathematics

I know that mathematics has applications in Biology, and in fact in everywhere, I am curious to know is it happened that a Biological concept comes to help math? I don't mean Biological names be ...
46 views

### How can I solve this ordinary differential equation? What are the Initial/Boundary Conditions used?

I am having trouble following the solution to this problem, I can understand how to obtain the general solution but cannot figure out the conditions used to obtain the particular solution with the ...
104 views

### Genetic probability problem(autosomal dominant,x-linked recessive)

Hemophilia is an X-linked recessive trait in humans. Huntington’s Disease is inherited with an autosomal dominant allele. a. Mr. Y is unaffected by either condition. He marries Ms. X, who is ...
62 views

### In the Glycolysys Sel'kov model, what are the meaning of “a” and “b” values?

In the Sel'kov model of glycolysis which I put on next $u'=-u+av+u^2v\\ v'=b-av-u^2v$ which have a limit cycle and have all sense because it is a glycolytic cycle. What are the biological-medical-...
31 views

### How to determine the probability of seeing a time based event?

I am trying to figure out what the probability of capturing a time based event is. This is the situation. I'm observing a video of clusters of proteins in a cell with proteins tagged green and red ...
50 views

### Approximation of a negative exponential model?

I am trying to get an approximation of this model, it is a negative exponential model introduced by Olson in 1963 "Energy storage and the balance of producers and decomposers in ecological systems". ...
29 views

### How to make sense of this contour graph?

Recently, I have been studying the paper "Estimating the basic reproductive ratio for the Ebola outbreak in Liberia and Sierra Leone", published in Infectious Diseases of Poverty. I came across the ...
Suppose we have one chemical species $V$ and two compartments in which $V$ can be, $A$ and $B$, with volumes $\Omega_A$ and $\Omega_B$ respectively, where $\Omega_A < \Omega_B$. Compartments $A$ ...
Could somebody kindly explain how you can express something as a covariance? A paper I am reading contains this term: $$\sum_in_i(p_i-p)(b_a+\sum_t\sum_jr^t\frac {n_j} {n_i}b_c)$$ The author then ...