Title :
Model of glycolytic traveling waves control in 3D spatial reactor
Author :
Verisokin, Andrey Yu ; Verveyko, Daria V. ; Postnikov, Eugene B. ; Lavrova, Anastasia I.
Author_Institution :
Phys. & Math. Fac., Kursk State Univ., Kursk, Russia
Abstract :
We present the 3D mathematical model of glycolysis reaction in an open reactor based on the Selkov equations. It has been shown that this relatively simple model adequately reproduce the main features of the experimentally observed glycolytic traveling waves. The analysis of the wave generation conditions shows that the emergence, direction of motion and shape of these reaction-diffusion waves can be effectively regulated via the spatial heterogeneity of a substrate influx.
Keywords :
biochemistry; molecular biophysics; partial differential equations; sugar; 3D mathematical model; 3D spatial reactor; Selkov equations; glycolysis reaction; glycolytic traveling waves control; reaction-diffusion waves; wave generation conditions; Biochemistry; Boundary conditions; Control system synthesis; Fungi; Inductors; Intelligent control; Pattern formation; Physics; Process control; Shape control;
Conference_Titel :
Control Applications, (CCA) & Intelligent Control, (ISIC), 2009 IEEE
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4244-4601-8
Electronic_ISBN :
978-1-4244-4602-5
DOI :
10.1109/CCA.2009.5281051
