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Continuous Semi-Markov Models for Chromatography

In: Semi-Markov Models and Applications

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  • Boris P. Harlamov

    (Russian Academy of Sciences)

Abstract

Continuous semi-Markov processes on a metric space are considered. Some properties of such a process and related functions are discussed, e.g. semi-Markov transition functions, characteristic operators, conditional distribution given sequence of states, connection to Markov processes, differential equations for diffusion type semi-Markov process. The semi-Markov property to have trajectories with intervals of constancy can be used for modeling in chromatography. The model takes into account a special character of movement of a particle through a filter. Formulae for some chromatograph characteristics are derived. The well-known semi-empirical formula of van Deemter is deduced theoretically.

Suggested Citation

  • Boris P. Harlamov, 1999. "Continuous Semi-Markov Models for Chromatography," Springer Books, in: Jacques Janssen & Nikolaos Limnios (ed.), Semi-Markov Models and Applications, chapter 0, pages 367-389, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-3288-6_23
    DOI: 10.1007/978-1-4613-3288-6_23
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