
32 Feedback Control in Systems Biology
These and other properties allow us to readily trans form differential equations
in the time domain into alge braic equations in the s-do main using the Laplace
transform. The advantage is e vident: it is much easier to solve algebraic equa-
tions than differential ones. Once we have found the solution in the s-domain,
we can obtain the time domain solution by applying the inverse Laplace trans-
form (or antitransform), L
−1
. In practice, s ignals can be easily transformed
and antitransformed, without performing any involved calculations, by using
readily available tables of Laplace transforms (see, for example,