Differential Geometric Methods in Biology

[Metmann]

Dear members,

Do you maybe know some good reference for the application of differential geometric methods in biology, especially evolutionary theory, game theory, population ecology. I kinda feel that the application of mathematical methods in biology in general is a field of increasing interest.
You got any experience, references, etc? Has it even been applied yet?

Maybe a second question: What about physical methods (e.g. path integrals or other quantum methods)? I know some papers by Baez, but anything else?

Thanks in advance,
Kind regards
M

 

[SciencewithDrJ]

There are a couple of PF videos posted recently on Mathematics in Biology.
Also, the Science Festival on Youtube has a special session on quantum physics application in biology.

 

[epenguin]

I am not as malicious towards theorists as most biologists are, but the phrase did come to mind "I have this fantastic solution, has anyone got a problem which it is of?"
Hope I'm wrong.

 

[SciencewithDrJ]

"I have this fantastic solution, has anyone got a problem which it is of?"

I didn't understand this.

 

[Andy Resnick]

Dear members,

Do you maybe know some good reference for the application of differential geometric methods in biology, especially evolutionary theory, game theory, population ecology. I kinda feel that the application of mathematical methods in biology in general is a field of increasing interest.
You got any experience, references, etc? Has it even been applied yet?

Maybe a second question: What about physical methods (e.g. path integrals or other quantum methods)? I know some papers by Baez, but anything else?

Thanks in advance,
Kind regards
M

Many applications come to mind, actually. Here's three (one is related to the recent Nobel prize in Physiology):

http://www.springer.com/us/book/9780387989921
http://bookstore.siam.org/fr34/
http://epubs.siam.org/doi/book/10.1137/1.9781611970517