Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
10124 J. Phys. Chem. 1994, 98, 10124-10130 Concentration-DependentRegulation of Flow Rate in a Chemical Oscillator
 

Summary: 10124 J. Phys. Chem. 1994, 98, 10124-10130
Concentration-DependentRegulation of Flow Rate in a Chemical Oscillator
Milos DolnikJ Laurence F. Abbott,*$*and Irving R. Epstein'Js
Departments of Chemistry and Biology and Centerfor Complex Systems, Brandeis University,
Waltham, Massachusetts 02254-91I O
Received: March 24, 1994; In Final Form: June 15, 1994@
A model of the chlorine dioxide-iodide reaction in a single well-stirred flow-through reactor is analyzed.
The model includes a flow regulation mechanism that allows the concentration of iodide in the system to
control the flow rate. The control is accomplished through a computer-mediated sigmoidal dependence of
the dynamic flow rate on the iodide concentration. The dynamical behavior of this system with slow regulation
is investigated by the numerical continuation technique. Oscillatory behavior is obtained for parameter values
that produce only steady state behavior in the unregulated system. Chaos and bursting also arise as a result
of the control mechanism. Responses of the model to changes in input iodide concentration show the ability
of the system to adjust to new conditions. Two different transient pattems of adjustment are observed depending
on the direction of the change in iodide input concentration. The control mechanism mimics a similar system
thought to control activity in biological neurons and may be of practical value.
Introduction
The introduction of control mechanisms in the study of
chemical oscillators has increased the variety of behavior seen
in these systems. For example, delayed feedback can produce

  

Source: Abbott, Laurence - Center for Neurobiology and Behavior & Department of Physiology and Cellular Biophysics, Columbia University

 

Collections: Biology and Medicine