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A simple mathematical model of the bovine estrous cycle: follicle development and endocrine interactions

Please always quote using this URN:urn:nbn:de:0296-matheon-7038
  • Bovine fertility is the subject of extensive research in animal sciences, especially because fertility of dairy cows has declined during the last decades. The regulation of estrus is controlled by the complex interplay of various organs and hormones. Mathematical modeling of the bovine estrous cycle could help in understanding the dynamics of this complex biological system. In this paper we present a mechanistic mathematical model of the bovine estrous cycle that includes the processes of follicle and corpus luteum development and the key hormones that interact to control these processes. The model generates successive estrous cycles of 21 days, with three waves of follicle growth per cycle. The model contains 12 differential equations and 54 parameters. Focus in this paper is on development of the model, but also some simulation results are presented, showing that a set of equations and parameters is obtained that describes the system consistent with empirical knowledge. Even though the majority of the mechanisms that are included in the model are based on relations that in literature have only been described qualitatively (i.e. stimulation and inhibition), the output of the model is surprisingly well in line with empirical data. This model of the bovine estrous cycle could be used as a basis for more elaborate models with the ability to study effects of external manipulations and genetic differences.

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Metadaten
Author:Marike H.T. Boer, Claudia Stötzel, Susanna Röblitz, Peter Deuflhard, Roel F. Veerkamp, Henri Woelders
URN:urn:nbn:de:0296-matheon-7038
Referee:Alexander Bockmayr
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2010/01/09
Release Date:2010/08/31
Tag:
Institute:Freie Universität Berlin
Technische Universität Berlin
Zuse Institute Berlin (ZIB)
MSC-Classification:65-XX NUMERICAL ANALYSIS / 65Lxx Ordinary differential equations / 65L09 Inverse problems
90-XX OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING / 90Cxx Mathematical programming [See also 49Mxx, 65Kxx] / 90C31 Sensitivity, stability, parametric optimization
92-XX BIOLOGY AND OTHER NATURAL SCIENCES / 92Cxx Physiological, cellular and medical topics / 92C30 Physiology (general)
92-XX BIOLOGY AND OTHER NATURAL SCIENCES / 92Cxx Physiological, cellular and medical topics / 92C42 Systems biology, networks
Preprint Number:712
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