Pharmaceutical Technology APIs, EXCIPIENTS, AND MANUFACTURING eBOOK 2021 47
The parameters, n, Ο„and td are
obtained through parameter esti-
mation, which minimizes the dif-
ference between the experimental
and predicted outlet concentration
E(t+t
d
). This optimization is based
on Nelder-Mead method, which is
integrated into the Python library
scipy.optimize and with the help of
open-source tool fminsearchbnd.py.
Figure 3 shows verification of the
toolbox. Note that, the experimen-
tal data points are measured from
a different unit operation (feeder)
and are not the RTD data needed
Figure 3. The verification of the tool. Measured concentration and fitted model.
Figure 4. Pulse response of residence time distribution (RTD) model.