Indeed I am solving the problem over a finite time interval.I just use the ODE to find the numerical values at the time points of interest after discretisation. Is that wrong you think?
If the model considers two parallel processes, death and synthesis with rates r and s, how do these rates...
So that's the cumulative...as I thought!
By the way, I think an easier way to evaluate that and in the same time avoid the error of the exponential terms that comes after integration would be to say simply that :
D(t)=r*C(t-1)
...which was and...
I am wondering...considering the previous model.
Is it true that ??:
C(current time)=
C(prev.time) + S(current time) - r*[ C(prev.time) + S(current time)]
where C : population
S : newly synthesised polulation (assume that is independt of population size(const.))...
Dear Marioeden,
something is wrong with the solution you have provided. I don't know why but the died population is greater than the current population when I use the method you suggested!
I have integrated as you said using the analytic solution for C and I get ...
Thank you very much for your response! That finally makes sense to me... :)
However, the model takes into acount protein population and therefore the synthesis rate is independent of the current population...
Apostolos
Hi everyone,
I have a problem understanding an ODE and using it to find something particular. Consider the following :
ODE : dC/dt= S-r*C
where
S: synthesis rate
r : death rate
C: population
Co: initial population
the analystical solution is simply C(t) =S/r -(S/r-Co)*exp(-r*t)...