Mathematical model of non-basal testosterone regulation in the male by pulse modulated feedback

Automatica - Tập 45 - Trang 78-85 - 2009
Alexander Churilov1, Alexander Medvedev2, Alexander Shepeljavyi3
1Department of Computer Science, St. Petersburg Marine Technical University, Lotsmanskaya street 3, 190008, St. Petersburg, Russia
2Information Technology, Uppsala University, SE-751 05 Uppsala, Sweden
3Faculty of Mathematics and Mechanics, St. Petersburg State University, Universitetsky av. 28, Peterhof, 198504, St. Petersburg, RUSSIA

Tài liệu tham khảo

Cartwright, 1986, A model for the control of testosterone secretion, Journal of Theoretical Biology, 123, 239, 10.1016/S0022-5193(86)80158-8 Churilov, A., Medvedev, A., & Shepeljavyi, A. (2007). Mathematical model of testosterone regulation by pulse-modulated feedback. In: Proc. IEEE multi-conference on systems and control (pp. 677–681) Clément, 2007, Mathematical modeling of the GnRH-pulse and surge generator, SIAM Journal of Applied Dynamical Systems, 6, 441, 10.1137/060673825 Das, 1994, Stability and oscillations of a negative feedback delay model for the control of testosterone secretion, BioSystems, 32, 61, 10.1016/0303-2647(94)90019-1 Dierschke, 1970, Circhoral oscillations of plasma lh levels in the ovariectomized rhesus monkey, Endocrinology, 87, 850, 10.1210/endo-87-5-850 Efimov, 2005 Enciso, 2004, On the stability of a model of testosterone dynamics, Journal of Mathematical Biology, 49, 627, 10.1007/s00285-004-0291-5 Farhy, 2004, Modeling of oscillations of endocrine networks with feedback, Methods in Enzymology, 384, 54, 10.1016/S0076-6879(04)84005-9 Gelig, 1998 Gerstner, 2002 Goor, 2000, Amplitude-dependent spike-broadening and enhanced Ca2+ signaling in GnRH-secreting neurons, Biophysical Journal, 79, 1310, 10.1016/S0006-3495(00)76384-3 Halanay, 1968 Hale, 1991 Heuett, 2006, A stochastic model of oscillatory blood testosterone levels, Bulletin of Mathematical Biology, 68, 1383, 10.1007/s11538-006-9098-4 Keenan, 2000, A stochastic biomathematical model of male reproductive hormone systems, SIAM Journal of Applied Mathematics, 61, 934, 10.1137/S0036139998334718 Keenan, 1997, Stochastic model of admixed basal and pulsatile hormone secretion as modulated by a deterministic oscillator, American Journal of Physiology, 273, R1182 Kuznetsov, 1998 Lakshmikantham, 1989 Medvedev, 2006, Mathematical models of testosterone regulation, 147 Mil’man, 1960, On motion stability under impacts, Siberian Mathematical Journal, 1, 233 Murray, 2002 Rasgon, 2003, Emergent oscillations in mathematical model of the human menstrual cycle, CNS Spectrums, 8, 805, 10.1017/S1092852900019246 Rosenwasser, 1973 Smith, 1980, Hypothalamic regulation of pituitary secretion of luteinizing hormone — II. feedback control of gonadotropin secretion, Bulletin of Mathematical Biology, 42, 57 Smith, 1983, Qualitative mathematical models of endocrine systems, American Journal of Physiology, 245, R473 Veldhuis, 1991, The hypotalamic-pituitary-testicular axis, 409 Veldhuis, 1999, Recent insights into neuroendocrine mechanisms of aging of the human male hypothalamic-pituitary-gonadal axis, Journal of Andrology, 20, 1 Veldhuis, 1986, Physiological properties of the luteinizing hormone pulse signal: Impact of intensive and extended venous sampling paradigms on its characterization in healthy men and women, Journal of Clinical Endocrinology and Metabolism, 62, 881, 10.1210/jcem-62-5-881 Veldhuis, 2004, An ensemble perspective of aging-related hypoandrogenemia in men, 261 Veldhuis, 1986, Cluster analysis: A simple, versatile, and robust algorithm for endocrine pulse detection, American Journal of Physiology Endocrinology Metabolism, 250, E486, 10.1152/ajpendo.1986.250.4.E486 Veldhuis, 1998, A biomathematical model of time-delayed feedback in the human male hypothalamic-pituitary-Leydig cell axis, American Journal of Physiology, E157 Zhusubaliev, 2003