Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke




Webpage

Publications [#29103] of Michael C Reed

Papers Published

  1. 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.

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320