A Different Approach to the Analysis of Tracer Data
Athanasios Papoulis · SIAM Journal on Control · 1973
The response $h(t)$ of a biological system consisting of a finite number of compartments is a sum of exponentials and can be interpreted as the Laplace transform of an impulse train $g(x)$. A method of inversion is proposed yielding $g(x)$ as a sum involving the values of $h(t)$ at a sequence of equidistant points $t_i $. A simple numerical technique results for determining the exponential components of $h(t)$.