## 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 language | English (US) |
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Pages (from-to) | 129-151 |

Number of pages | 23 |

Journal | Mathematical Biosciences |

Volume | 169 |

Issue number | 2 |

DOIs | |

State | Published - 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