Mathematical model of mixing in Rumen

Wiesław Szlenk

Applicationes Mathematicae (1996)

  • Volume: 24, Issue: 1, page 87-95
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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Szlenk, Wiesław. "Mathematical model of mixing in Rumen." Applicationes Mathematicae 24.1 (1996): 87-95. <http://eudml.org/doc/219154>.

@article{Szlenk1996,
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.},
author = {Szlenk, Wiesław},
journal = {Applicationes Mathematicae},
keywords = {ergodic; rumen; Markov chain; Baker Transformation; Baker transformation; mixing action of food in rumen; random},
language = {eng},
number = {1},
pages = {87-95},
title = {Mathematical model of mixing in Rumen},
url = {http://eudml.org/doc/219154},
volume = {24},
year = {1996},
}

TY - JOUR
AU - Szlenk, Wiesław
TI - Mathematical model of mixing in Rumen
JO - Applicationes Mathematicae
PY - 1996
VL - 24
IS - 1
SP - 87
EP - 95
AB - 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.
LA - eng
KW - ergodic; rumen; Markov chain; Baker Transformation; Baker transformation; mixing action of food in rumen; random
UR - http://eudml.org/doc/219154
ER -

References

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  1. [1] N. A. Friedman and D. S. Ornstein, On isomorphism of weak Bernoulli transformations, Adv. in Math. 5 (1970), 365-394. Zbl0203.05801
  2. [2] I. L. Kornfeld, Ya. G. Sinaĭ and S. V. Fomin, Ergodic Theory, Nauka, Moscow, 1980 (in Russian). 
  3. [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. [4] D. S. Ornstein, Ergodic Theory, Randomness and Dynamical Systems, Yale Math. Monographs 5, Yale Univ., 1974. 
  5. [5] W. Szlenk, Introduction to the Theory of Smooth Dynamical Systems, PWN-Wiley, Warszawa, 1984. 
  6. [6] P. Walters, An Introduction to Ergodic Theory, Springer, New York, 1975. Zbl0475.28009

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