Hello, I'm new here and on maths, I'm working on a project of modeling the behavior of proteins and I need to do it by using linear algebra, differential ecuations and probabilities. this is ..
We have observed that for an MD run at 42 ºC, 62% of state 1 conformations remain in
state 1 from one arbitrary time t to the next, 51% of state 2 conformations remain and so
do 54% of state 3. Moreover, we have observed also that while 13% of S1 become S2, 44%
of S2 revert to S1. Non of the S3 becomes S2 directly. We will model the evolution of the
three dierent conformational states of the protein. Let's consider that at a certain time a
given ensemble of proteins is in S1 with xn mol l-1, yn in S2 and zn in S3.
1. Write down the matrix A of the linear application underlying the time step (dt)
update (i.e., vn+1 = f(vn) where vn = (xn; yn; zn)). Do the matrix columns/rows
have a special property? Why?
.
.
.
this is the first question, I want help of how break down this and start my project.
how can I convert all that information into a matrix?
Thanks in advance,