For questions regarding mathematical concepts with applications to Biology.

# Questions tagged [biology]

387 questions

**36**

votes

**2**answers

### The Scutoid, a new shape

The scutoid (Nature, Gizmodo, New Scientist, eurekalert) is a newly defined shape found in epithelial cells. It's a 5-prism with a truncated vertex. The g6 format of the graph is KsP`?_HCoW?T .
They are apparently a building block for living…

Ed Pegg

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### Can mathematics get from other sciences what it got from physics?

Throughout history, physics has been an unparalleled source of '' inspiration'' for discovering/inventing mathematical ideas, which is due to its ability to describe the physical world. But can this connection be made as profoundly with other fields…

Daniel Faust Montana

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### Mathematics applied to biology

Can anyone suggest reference material on mathematics applied to biology, in particular the study of the behavior of say simple unicellular organisms or cells? Ideally the level of complexity should be aimed at a competent undergrad. Thank…

asker

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**12**

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**4**answers

### PDEs in biology

I am student who mostly heard lectures on partial differential equations and homogenization. But I really like the idea of working in biology or with biologists - but (with my lack of overview) it seems to me it's either statistics or some ODE…

jkkk

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votes

**2**answers

### Does the matrix exponential have this convexity property?

Let $A$ be a real matrix (not necessarily symmetric) whose off-diagonal elements are all non-negative, so that the elements of the matrix exponential $\exp(A)$ are all non-negative. Let $\mathbf x$ be a vector whose elements are all non-negative.…

N. Virgo

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votes

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### Most Important Challenges in Mathematical Biology

This question is to everyone, but especially to whoever is doing a PhD in Mathematical Biology, to who is teaching Mathematical Biology and finally to who works or researches in this area.
What are the most important challenges of Mathematical…

Euler_Salter

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votes

**1**answer

### Learning roadmap for mathematical biology

Which courses (at an undergrad level or master's level) in mathematics or statistics should be taken by a student aiming for a PhD in mathematical biology?
The basics I imagine are calculus courses, linear algebra and probability.
But then I would…

Desmond

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**8**

votes

**4**answers

### Category Theory & Biology

Category theory is becoming more and more used in the following fields (besides others)
(1) Quantum physics (e.g. C. Isham and B. Coecke et al)
(2) General relativity (e.g. A.K. Guts et al)
(3) Linguistics and natural language processing (e.g. J.…

FWE

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### How can I model the number of insects in a house?

I really don't know if this question applies here or if it makes sense, but I'm curious as to whether these ideas are commonly used.
Imagine you are in a room, this room has holes, where bugs may enter or leave. At any given time number of bugs…

Apprentice

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### How Turing instability explains the patterns present on the animal skin?

Alan Turing in his original paper presents the following system of differential equations:
$\frac{\delta X_r}{\delta t} = f(X_r, Y_r) + \mu(X_{r+1} -2X_r + X_{r-1})$
$\frac{\delta Y_r}{\delta t} = g(X_r, Y_r) + v(Y_{r+1} - 2Y_r + Y_{r-1})$
for $r…

mercury0114

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### Is there any research in mathematical biology that isn't heavy in differential equations?

I'm near the end of my pure math undergrad trying to decide what sort of math I'm interested in for graduate school. I've always thought the idea of mathematical biology was cool, but it seems like a lot of it is steeped in differential equations,…

Samuel Reid

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**2**answers

### Coloring the pentagonal hexecontahedron

So, I'd like to color the pentagonal hexecontahedron in a way that is satisfying aesthetically and mathematically. For me this equates to, in order of priority -
1. No same-colored faces can share an edge
2. We must use as few colors as possible
3.…

Hamish Todd

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**6**

votes

**1**answer

### Find the value of a function with definite integrals

I am trying to understand a paper of Maynard Smith (1974), that connects biology with game theory. I don't want to overwhelm you with useless stuff, but I have this definite integrals:
$$E(m)=\int_0^m (v-x)p(x) dx - \int_m^\infty mp(x) dx …

Vaaal88

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**6**

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**5**answers

### What is Octave Equivalence?

This is an updated copy of a question I asked on Physics Stack Exchange not too long ago. Since I work primarily in mathematics, I thought it would be a good idea to ask it here as well (especially after being inspired by the popularity of this…

Alexander Sibelius

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### Mathematical formula for biological phenomena?

Math is strongly intervened with Physics and Chemistry: it's used for an assortment of calculations and experiments. However, I find that Biology (at least elementary Biology) is severely lacking in mathematical models. Do mathematical models of…

user26649