Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

A General Model for the Dynamics of Cell Volume, Global Stability, and Optimal Control

Published

Author(s)

James D. Benson

Abstract

Cell volume and concentration regulation in the presence of changing extracellular environments has been studied for centuries, and recently a general nondimensional model was introduced that encompassed solute and solvent transmembrane flux for a wide variety of solutes and flux mechanisms. Moreover, in many biological applications it is of considerable interest to understand optimal controls for both volume and solute concentrations. Here we examine a natural extension of this general model to an arbitrary number of solutes or solute pathways, show that this system is globally asymptotically stable and controllable, define necessary conditions for time-optimal controls in the arbitrary-solute case, and using a theorem of Boltayanski prove sufficient conditions for these controls in the commonly encountered two-solute case.
Citation
Journal of Mathematical Biology

Keywords

Cellular mass transport , optimization , stability , cryobiology , sufficiency theorem

Citation

Benson, J. (2011), A General Model for the Dynamics of Cell Volume, Global Stability, and Optimal Control, Journal of Mathematical Biology, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=904647 (Accessed July 17, 2024)

Issues

If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.

Created February 11, 2011, Updated February 19, 2017