Hi all,

Here's my problem:

A cell produces a metabolite at a constant rate orf 15 ng/hour. The metabolite is broken down at a rate proportional to the amount in the cell, .5 x(t).

How would I write a diff EQ that expresses this?

Thanks,

Kim

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- Sep 16th 2008, 04:02 PMKim NuWrite a differential equation
Hi all,

Here's my problem:

A cell produces a metabolite at a constant rate orf 15 ng/hour. The metabolite is broken down at a rate proportional to the amount in the cell, .5 x(t).

How would I write a diff EQ that expresses this?

Thanks,

Kim - Sep 16th 2008, 05:23 PMdamadama
well you want to write an equation describing the rate of production of this whatever

so you produce 15 an hour regardless and you lose .5*x(t) per hour

so,

x'(t) = 15 - .5*x(t)

i believe