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19 votes
4 answers
2k views

Applications of complex exponential

In calculus we learn about many applications of real exponentials like $e^x$ for bacteria growth, radioactive decay, compound interest, etc. These are very simple and direct applications. My question ...
Max's user avatar
  • 199
6 votes
0 answers
550 views

Status of the Salmon Conjecture

The set-theoretic version of the Salmon Conjecture (that is, finding the equations that cut out the fourth secant variety of the Segre embedding of $\mathbb P^3 \times \mathbb P^3 \times \mathbb P^3$ ...
Yellow Pig's user avatar
  • 2,964
31 votes
7 answers
6k views

Applications of mathematics in clinical setting

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 ...
27 votes
4 answers
3k views

Algebra and cancer research

Let me start by acknowledging the existence of this thread: Mathematics and cancer research It is well-known that mathematical modeling and computational biology are effective tools in cancer research....
Jeff H's user avatar
  • 1,422
9 votes
2 answers
5k views

Applications of algebraic geometry/commutative algebra to biology/pharmacology

Are there applications of algebraic geometry/commutative algebra to biology/pharmacology? It might be that some Gröbner basis technique is used somewhere? I know there are some applications to ...
10 votes
3 answers
3k views

Applications of knot theory to biology/pharmacology

What are the applications of knot theory to biology/pharmacology? I guess there should be some, since proteins are quite long and some of their properties are probably related to whether they are ...
25 votes
7 answers
8k views

Applications of group theory to mathematical biology (pharmacology)

Are there applications of group theory — broadly, say, representation theory, Lie algebras, $q$-groups, etc — to mathematical biology? In particular, I am interested in applications to pharmacology — ...
29 votes
20 answers
8k views

Mathematics and cancer research

What are applications of mathematics in cancer research? Unfortunately, I heard quite little about applications of mathematics, but I heard something about applications of physics, and let me put this ...