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Question about mathematical modeling...

O

Orsorum

Lifer
When you're doing a model of viral growth, is it possible to do two different equations over time? i.e. if I have uninhibited logistic growth until time t, then I have logistic growth with some sort of limiting (i.e. vaccines, etc) after that point, can you introduce that second component at that time mathematically?
 
*working*

The answer is yes. Bacterial growth on a Petri dish is similar to what you are thinking of (I think). The phases of growth change as nutrients are depleted. Dang, where is that equation.
 
Originally posted by: Hayabusarider
*working*

The answer is yes. Bacterial growth on a Petri dish is similar to what you are thinking of (I think). The phases of growth change as nutrients are depleted. Dang, where is that equation.
Click to expand...

Mmm... I'm modeling the growth of a computer virus...

All I have so far...

But, hey, I'm finishing this by 12 tonight...

😱
 
Originally posted by: Zakath15
Originally posted by: Hayabusarider *working* The answer is yes. Bacterial growth on a Petri dish is similar to what you are thinking of (I think). The phases of growth change as nutrients are depleted. Dang, where is that equation.
Click to expand...
Mmm... I'm modeling the growth of a computer virus... All I have so far... But, hey, I'm finishing this by 12 tonight... 😱
Click to expand...

Meebe it doesnt help. Gave it a shot though
 
Yes, just make sure the initial conditions for the two differential equations is piecewise continuous or something like that -- then there is a theorem that guarantees the existence and uniqueness of the solution to the differential equation. 😉 What I said might not make any sense because it's been a long time since I did any math stuff.
 
You know you're a math nerd when someone says, "Man, traffic is backed up" and you respond with, "There's a model for that, you know..."
 
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