Complex dynamic phenomena in a low-order model of non-basal testosterone regulation

@article{Zhusubaliyev2011ComplexDP,
  title={Complex dynamic phenomena in a low-order model of non-basal testosterone regulation},
  author={Zhanybai T. Zhusubaliyev and Alexander N. Churilov and Alexander Medvedev},
  journal={IEEE Conference on Decision and Control and European Control Conference},
  year={2011},
  pages={879-884}
}
Complex nonlinear dynamics in a recent mathematical model of non-basal testosterone regulation are investigated. In agreement with biological evidence, the pulsatile (non-basal) secretion of testosterone is modeled by frequency and amplitude modulated feedback. It is shown that, in addition to already known periodic solutions with one and two pulses in the least period of the closed-loop solution, cycles of higher periodicity and chaos are present in the model in hand. The broad range of… CONTINUE READING

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SHOWING 1-10 OF 28 REFERENCES

and A

N. Rasgon, L. Pumphrey, +3 authors J. Licinio
  • Garfinkel, “Emergent oscillations in mathematical model of the human menstrual cycle,” CNS Spectrums, vol. 8, no. 11, pp. 805–814
  • 2003
VIEW 5 EXCERPTS
HIGHLY INFLUENTIAL

Shepeljavyi, “State observer for continuous oscillating systems with intrinsic pulsatile feedback,

A. Churilov, A. Medvedev
  • IFAC World Congress,
  • 2011
VIEW 1 EXCERPT

and A

A. Churilov, A. Medvedev
  • Shepeljavyi, “Mathematical model of non-basal testosterone regulation in the male by pulse modulated feedback,” Automatica, vol. 45, no. 1, pp. 78–85
  • 2009

and M

W. S. Evans, L. S. Farhy
  • L. Johnson, “Biomathematical modeling of pulsatile hormone secretion: a historical perspective,” in Methods in Enzymology: Computer methods, Volume A, M. L. Johnson and L. Brand, Eds.
  • 2009
VIEW 1 EXCERPT

and A

A. Medvedev, A. Churilov
  • Shepeljavyi, “Mathematical models of testosterone regulation,” in Stochastic Optimization in Informatics, (In Russian). St. Petersburg State University
  • 2006

Farhy, “Modeling of oscillations in endocrine networks with feedback,

L S.
  • Methods in Enzymology,
  • 2004
VIEW 1 EXCERPT

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