Entering edit mode
4.9 years ago
pyesleyib
•
0
Hello Guys,
I'm a student who is trying to major in systems biology. My project aims to study how uncertainties propagate through a linear system of differential equations. I've built up my scripts that answer this (one is a monte-carlo style method and the derives differentials for the moments and then infers their maximum entropy distributions). Unfortunately, I can't find a published model (or any model for that matter) to test my scripts on... It has to be linear because non-linear uncertainty propagation is still an open problem and a bit too challenging for a bachelor thesis.
Does anybody know of a compartmental linear model that describes a cellular function ?
Thanks so much guys !
I think you should start with the biological process you want to model. If you don't have something you wish to model, then you should start with 'Mathematical Biology' which is a great introduction to application of growth rates and system dynamics to biology. A 2x1 or 1x1 system may seem trivial to you from a mathematical perspective... but it is the basis for many of the best studied and most publicly known applications of ODEs in biology. And if my suggestion still doesnt strike you as meaningful or significant, that's because you probably don't know any biologists who struggle to model exactly that. It's not because the math is boring, it's because your knowledge of those systems might be simplistic at that age. There are many parameters in biological systems that affect exactly those ODEs with relationships that haven't been investigated. The most basic example I can think of is the effect of heterologous protein expression with tunable promoters effecting the total carbon metabolism of microorganisms, thus effecting the growth rates by unquantified propagation parameters and usually unknown relationship to the canonical growth equation. I'll leave you with a simple application instead of advanced math, because you need to always appreciate things from a biologists perspective. Maths alone is rather dullWhat you need is a dataset, not a simulation.