A mathematical model of luteinizing hormone release  from ovine pituitary cells in perifusion

Heinze, Kristina; Keener, R.; Midgley, A. Rees

doi:10.1152/ajpendo.1998.275.6.e1061

Cited by 15 publications

(17 citation statements)

References 23 publications

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“…In Heinze et al (1998), a mathematical model for the GnRH receptor binding including the receptor recycling which leads to the release of LH is developed. Unfortunately, the model is not designed for the human but for the ovine case, which is why the results must be handled with care when using for the human case.…”

Section: Receptor Binding Of Gnrhmentioning

confidence: 99%

“…Unfortunately, the model is not designed for the human but for the ovine case, which is why the results must be handled with care when using for the human case. The model scheme for the receptor binding in the pituitary is adopted from Heinze et al (1998), shown in Fig. 9.…”

Section: Receptor Binding Of Gnrhmentioning

confidence: 99%

“…In most cases, focus is on coarse interactions like feedback mechanisms among the most important hormones (Grigoliene ' and Sˇvitra, 2000;Sˇvitra et al, 1998) and follicular masses (Bogumil et al, 1972a, b;Harris, 2001) or, explicitly, on follicular dynamics (Cha´vez-Ross et al, 1997;Cle´ment, 1998; 1997; Lacker and Akin, 1988). Others are concerned with modeling biochemical processes like receptor binding that are part of this control system (Blum et al, 2000;Cle´ment et al, 2001;Heinze et al, 1998;Washington et al, 2004). We will present some of these approaches and their integration in this complex model in the following.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A complex mathematical model of the human menstrual cycle

Reinecke

Deuflhard

2007

Journal of Theoretical Biology

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Section: Receptor Binding Of Gnrhmentioning

confidence: 99%

Section: Receptor Binding Of Gnrhmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A complex mathematical model of the human menstrual cycle

Reinecke

Deuflhard

2007

Journal of Theoretical Biology

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“…A number of models have been developed for other ruminant species, especially ewes [13,35], but these models do not contain all the key players that are required to simulate follicle development and the accompanying hormone levels throughout consecutive cycles. A model that integrates the major tissues and hormones involved, and that is able to simulate the dynamics of follicular development, has been developed for the human menstrual cycle [61].…”

Section: Introductionmentioning

confidence: 99%

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

Bôer

Stötzel

Röblitz

et al. 2011

Journal of Theoretical Biology

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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. AMS MSC 2000: 92C42, 92C30, 90C31, 65L09

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“…Mathematical models have been developed, for example, for follicle development (Clé ment et al, 2001;Soboleva et al, 2004), gonadotropin release (Blum et al, 2000;Heinze et al, 1998;Washington et al, 2004), and estrogen signaling (Vasudevan and Pfaff, 2008;Frohlich et al, 2002). The coupling of physiological and genomic data with the help of modeling (e.g.…”

Section: Understanding the Complex Regulation Of Estrous Behaviormentioning

confidence: 99%

Estrous behavior in dairy cows: identification of underlying mechanisms and gene functions

Bôer

Veerkamp

Beerda

et al. 2010

Animal

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Selection in dairy cattle for a higher milk yield has coincided with declined fertility. One of the factors is reduced expression of estrous behavior. Changes in systems that regulate the estrous behavior could be manifested by altered gene expression. This literature review describes the current knowledge on mechanisms and genes involved in the regulation of estrous behavior. The endocrinological regulation of the estrous cycle in dairy cows is well described. Estradiol (E2) is assumed to be the key regulator that synchronizes endocrine and behavioral events. Other pivotal hormones are, for example, progesterone, gonadotropin releasing hormone and insulin-like growth factor-1. Interactions between the latter and E2 may play a role in the unfavorable effects of milk yield-related metabolic stress on fertility in high milk-producing dairy cows. However, a clear understanding of how endocrine mechanisms are tied to estrous behavior in cows is only starting to emerge. Recent studies on gene expression and signaling pathways in rodents and other animals contribute to our understanding of genes and mechanisms involved in estrous behavior. Studies in rodents, for example, show that estrogen-induced gene expression in specific brain areas such as the hypothalamus play an important role. Through these estrogen-induced gene expressions, E2 alters the functioning of neuronal networks that underlie estrous behavior, by affecting dendritic connections between cells, receptor populations and neurotransmitter releases. To improve the understanding of complex biological networks, like estrus regulation, and to deal with the increasing amount of genomic information that becomes available, mathematical models can be helpful. Systems biology combines physiological and genomic data with mathematical modeling. Possible applications of systems biology approaches in the field of female fertility and estrous behavior are discussed.

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A mathematical model of luteinizing hormone release from ovine pituitary cells in perifusion

Cited by 15 publications

References 23 publications

A complex mathematical model of the human menstrual cycle

A complex mathematical model of the human menstrual cycle

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

Estrous behavior in dairy cows: identification of underlying mechanisms and gene functions

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