Recent content by Apostolos
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Graduate Solving an ODE Problem: Calculating Deaths & Synthesis
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...- Apostolos
- Post #9
- Forum: Differential Equations
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Graduate Solving an ODE Problem: Calculating Deaths & Synthesis
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...- Apostolos
- Post #7
- Forum: Differential Equations
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Graduate Solving an ODE Problem: Calculating Deaths & Synthesis
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.))...- Apostolos
- Post #5
- Forum: Differential Equations
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Graduate Solving an ODE Problem: Calculating Deaths & Synthesis
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 ...- Apostolos
- Post #4
- Forum: Differential Equations
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Graduate Solving an ODE Problem: Calculating Deaths & Synthesis
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- Apostolos
- Post #3
- Forum: Differential Equations
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Graduate Solving an ODE Problem: Calculating Deaths & Synthesis
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)...- Apostolos
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- Ode
- Replies: 10
- Forum: Differential Equations