Mathematical Modelling of Enzymatic Reactions

A deep and analytical understanding of the human
metabolism grabbed attention of scientists from
biology, medicine and pharmacy. Mathematical models
of metabolic pathways offer several advances for
this deep and analytical understanding due to their
incompensable potential in predicting metabolic
processes and anticipating appropriate interventions
when required. This book concerns mathematical
modelling analysis and simulation of metabolic
pathways. These pathways include intracellular and
extracellular compounds such as enzymes,
metabolites, nucleotides and cofactors. The
mathematical models are either in the form of
nonlinear ordinary differential equations (ODE's) or
differential algebraic equations (DAE's). These
equations are composed of kinetic parameters such as
kinetic rate constants, initial rates and
concentrations of metabolites. In this book, an
enzymatic system which includes Creatine Kinase,
Hexokinase and Glucose 6-Phosphate Dehydrogenase (CK-
HK-G6PDH) is modelled in the form of DAE's, solved
numerically and the system parameters are estimated.

Autorentext

Dr. Süreyya Özögür-Akyüz studied Mathematics at Middle East Technical University (METU), Turkey. She did her Msc and PhD at Institute of Applied Mathematics (IAM), METU. Dr. Özögür-Akyüz is a postdoctoral researcher at Sabanci University, Turkey where she is working on pattern recognition, data mining and continuous optimization.

Klappentext

A deep and analytical understanding of the human metabolism grabbed attention of scientists from biology, medicine and pharmacy. Mathematical models of metabolic pathways offer several advances for this deep and analytical understanding due to their incompensable potential in predicting metabolic processes and anticipating appropriate interventions when required. This book concerns mathematical modelling analysis and simulation of metabolic pathways. These pathways include intracellular and extracellular compounds such as enzymes,metabolites, nucleotides and cofactors. The mathematical models are either in the form of nonlinear ordinary differential equations (ODE's) or differential algebraic equations (DAE's). These equations are composed of kinetic parameters such as kinetic rate constants, initial rates and concentrations of metabolites. In this book, an enzymatic system which includes Creatine Kinase, Hexokinase and Glucose 6-Phosphate Dehydrogenase (CK-HK-G6PDH) is modelled in the form of DAE's, solved numerically and the system parameters are estimated.