"MIXED-INTEGER DYNAMIC OPTIMIZATION IN
SYSTEMS BIOLOGY"
Julio R. Banga, IIM-CSIC, Vigo,
Spain
Abstract
Mathematical optimization aims to make a
system or design as effective or
functional as possible, computing
the quality of the different
alternatives using a mathematical
model. Most models in systems biology
have a dynamic nature,
usually described by sets of differential
equations. Dynamic
optimization addresses this class of systems, seeking
the
computation of the optimal time-varying conditions (control
variables)
to minimize or maximize a certain performance index.
Dynamic optimization
can solve many important problems in systems
biology, including optimal
control for obtaining a desired
biological performance, the analysis of
network designs and
computer aided design of biological units.
In this talk I will
describe our research in continuous and mixed-integer
dynamic
optimization (MIDO) problems in the framework of
computational
systems biology. I will also present results
for
several challenging optimization problems related with
bioreactor
optimization, optimal drug infusion
to a patient and
the minimization of intracellular oscillations.