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ArticleOriginal scientific text

Title

Mathematical model of mixing in Rumen

Authors 1

Affiliations

  1. Institute of Applied Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Abstract

A mathematical model of mixing food in rumen is presented. The model is based on the idea of the Baker Transformation, but exhibits some different phenomena: the transformation does not mix points at all in some parts of the phase space (and under some conditions mixes them strongly in other parts), as observed in ruminant animals.

Keywords

ENG
ergodic, rumen, Markov chain, Baker Transformation

Bibliography

  1. N. A. Friedman and D. S. Ornstein, On isomorphism of weak Bernoulli transformations, Adv. in Math. 5 (1970), 365-394.
  2. I. L. Kornfeld, Ya. G. Sinaĭ and S. V. Fomin, Ergodic Theory, Nauka, Moscow, 1980 (in Russian).
  3. I. A. Moore, K. R. Pond, M. W. Poore and T. G. Goodwin, Influence of model and marker on digesta kinetic estimates for sheep, J. Anim. Sci. 70 (1992), 3528-3540.
  4. D. S. Ornstein, Ergodic Theory, Randomness and Dynamical Systems, Yale Math. Monographs 5, Yale Univ., 1974.
  5. W. Szlenk, Introduction to the Theory of Smooth Dynamical Systems, PWN-Wiley, Warszawa, 1984.
  6. P. Walters, An Introduction to Ergodic Theory, Springer, New York, 1975.
Applicationes Mathematicae
1996-1997/24/1
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Pages:
87-95
Main language of publication
English
Received
1995-10-10
Published
1996
Exact and natural sciences