Math @ Duke
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Publications [#29103] of Michael C Reed
Papers Published
- M.C. Reed, J. Blum, J. A. Jonovick, P. M. Conn, A
Mathematical Model Quantifying GnRH--induced LH Secretion from Gonadotropes,
Amer. J. Physiol. Endocrinol. Metab., vol. 278
(2000),
pp. 263-272
(last updated on 2004/12/14)
Abstract: A mathematical model is developed to
investigate the rate of release of
luteinizing hormone from pituitary
gonadotropes in response to short
pulses of gonadotropin--releasing hormone.
The model includes binding
of the hormone to its receptor, dimerization,
interaction with a G--protein,
production of IP3, release of calcium from
the endoplasmic reticulum,
entrance of calcium into the cytosol via
voltage gated membrane channels, pumping of
calcium out of the cytosol via membrane and
ER pumps, and the release of luteinizing
hormone. Cytosolic calcium dynamics are
simplified
(i.e. oscillations are not included in the
model) and it is assumed that there
is only one pool of releasable LH. Despite
these and other simplifications, the model
explains the qualitative features of the LH
release
in response to GnRH pulses of various
durations and different concentrations both
in the presence and absence of external calcium.
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