Simple Negative Feedback
by Mike Martin

On this page, you can vary the parameters in a simple model for negative feedback.   In words, the rate of change of some quantity, x, is equal to a production constant, λ, less a decay constant, γ, times the quantity, x.   It is the second term that provides the negative feedback for this simple system.   The equation can then be written as

Submit real, positive values for all of the parameters, the initial value of the quantity, x (0), and the time bound.   Use at your own risk as some parameter values may produce erroneous graphs, but parameters consistent with the literature will work.

Enter in the value of the parameters, the initial value, and select the time bound, then press the "Evaluate" button to generate a plot of the solution.

λ =  

γ =  

x (0) =  

0   ≤   t   ≤