Plenary Lecture
Synergy Analysis in Reaction Systems

Profesor Zelimir Kurtanjek
University of Zagreb
Faculty of Food Technology
CROATIA
E-mail: zkurt@pbf.hr
Abstract: This work introduces the concept of analysis of synergy
interactions in chemical (biochemical) reaction systems. The systems are
defined by mass balances for reacting species, reaction network given by a
stoichiometric matrix, reaction (kinetic) parameters, and parameters of
interaction between the reaction system and a surrounding. Systems analysis
is based on statistical evaluation of numerical results of computer
simulation of effects of a set of uncorrelated stochastic parameters,
defined by corresponding ranges and probability distributions. From the
simulation data are extracted parameter global sensitivities and synergy
effect of each parameter in interaction with the whole system. The global
parameter sensitivities are defined as ratios of conditional variances of
expected values for each parameter and the total dispersion of simulation
data. The synergy effects are defined as the relative difference between
expected values of the conditional variances with exclusion of each
parameter and the variance of the conditional expected value of the
parameter. Numerical evaluations are performed by use of sampling the
parametric space by Lissajous type of curves and the Fourier Amplitude
Sensitivity Test (FAST) algorithm. The method is applied for analysis of
propagation hepatitis B virus (HBV) in a stochastic single cell model, and
for metabolic control analysis of a branched network. The results for virus
propagation show dominant synergy effect of the system parameters, compared
to negligible influence of individual parameters. The metabolic control
analysis show that under homeostatic conditions influence of the individual
enzymes is dominant and the key enzyme responsible for flux regulation is
determined. However, under perturbed homeostatic conditions influence of
synergy effects dominates over impact of individual parameters.
Applicability of the proposed concept is discussed in view of model
improvement and potential control of reaction systems.
Brief Biography of the Speaker:
Zelimir Kurtanjek was born in 1946 in Zagreb, Croatia. He graduated in 1971
with engineering degree in physics from the Department of Sciences,
University of Zagreb. He completed postgraduate studies in Technical
Cybernetics at Faculty of Technology, University of Zagreb. In 1975 he
enrolled at the postgraduate study in chemical engineering at the Department
of Chemical Engineering, The University of Houston, TX, USA. In 1979 he
received doctoral degree under mentorship of Prof. Dan Luss in the
Laboratory for Reaction Engineering. He completed his postdoctoral studies
with Prof. G. Froment at the Department of Chemical Engineering, University
of Gent, Belgium. During 1991. he was a visiting professor through EU
project TEMPUS at the Department of Biological Sciences, University of
Ulster, Coleraine, Northern Ireland. Since 1980 he is employed at the
University of Zagreb, Faculty of Food Technology and Biotechnology,
University of Zagreb as a professor of chemical engineering. He is teaching
reactor engineering, mathematical modeling and process control to students
of biochemical, chemical and food engineering. In his scientific work he is
interested in modeling and control of reactors, modeling of bioprocesses and
food processes, and application of AI methods in modeling and process
control. He has published over 50 papers in international and national
journals. Since 1976 he is a member of American Institute of Chemical
Engineers, a delegate of Croatia in European Federation of Biotechnology,
and also is a member of Croatian Society of Chemical Engineers, Croatian
Society of Biotechnology, and Croatian Technical Academy. He is editor in
chief of Chemical and Biochemical Engineering Quarterly and a member of the
editorial board of Food Technology and Biotechnology journals.