Mathematical modeling and stochastic H∞ identification of the dynamics of the MF-influenced oxidation of hexane

J. Bentsman, I. V. Dardynskaya, O. Shadyro, G. Pellegrinetti, R. Blauwkamp, G. Gloushonok

Research output: Contribution to journalArticlepeer-review

Abstract

This paper presents a mathematical model explicitly reflecting the magnetic-field-induced transitions in a biologically significant process: n-hexane oxidation. The range of the magnetic field strength is found (0.05-0.3 T) with the trend indicating significant magnetic-field-induced change in the rates of reactions involving hexane (up to 50% at 0.2 T). The equations describing the effects of the magnetic field on the photoinduced free radical reaction of oxidation involving a lipid-modeling substance, hexane, are obtained on the basis of chemical kinetics and data from a batch experiment. The magnetic-field-induced changes in n-hexane oxidation are validated using the identification technique based on the real time input-output data in a separately conducted flow-through experiment.

Original languageEnglish (US)
Pages (from-to)129-151
Number of pages23
JournalMathematical Biosciences
Volume169
Issue number2
DOIs
StatePublished - 2001

Keywords

  • Lipid-modeling substance
  • Magnetic-field-induced transitions
  • Mathematical modeling
  • Oxidation
  • Stochastic H∞ dentification

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • General Biochemistry, Genetics and Molecular Biology
  • General Immunology and Microbiology
  • General Agricultural and Biological Sciences
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Mathematical modeling and stochastic H∞ identification of the dynamics of the MF-influenced oxidation of hexane'. Together they form a unique fingerprint.

Cite this