Delay equation analysis of human respiratory stability.
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B Vielle | G Chauvet | G. Chauvet | B. Vielle
[1] B Vielle,et al. Mathematical study of periodic breathing as an instability of the respiratory system. , 1993, Mathematical biosciences.
[2] N. Cherniack,et al. Oxygen and carbon dioxide gas stores of the body. , 1970, Physiological reviews.
[3] H. Hecht,et al. The mechanism of Cheyne-Stokes respiration. , 1962, The Journal of clinical investigation.
[4] John L. Casti,et al. Introduction to the theory and application of differential equations with deviating arguments , 1973 .
[5] L. Glass,et al. PATHOLOGICAL CONDITIONS RESULTING FROM INSTABILITIES IN PHYSIOLOGICAL CONTROL SYSTEMS * , 1979, Annals of the New York Academy of Sciences.
[6] N. Cherniack,et al. Cheyne-Stokes breathing produced by a model of the human respiratory system. , 1966, Journal of applied physiology.
[7] K. Cooke,et al. Discrete delay, distributed delay and stability switches , 1982 .
[8] Phillipson Ea,et al. Control of breathing during sleep. , 1978 .
[9] E. Bruce,et al. Stability analysis of CO2 control of ventilation. , 1990, Journal of applied physiology.
[10] H. W. Brown,et al. The neurologic basis of Cheyne-Stokes respiration , 1961 .
[11] K. Cooke,et al. On zeroes of some transcendental equations , 1986 .
[12] E R Carson,et al. A breathing model of the respiratory system; the controlled system. , 1980, Journal of theoretical biology.
[13] C S Houston,et al. Dynamics of periodic breathing and arousal during sleep at extreme altitude. , 1996, Respiration physiology.
[14] A. J. Bart,et al. Mathematical analysis and digital simulation of the respiratory control system. , 1967, Journal of applied physiology.
[15] K. Cooke,et al. Stability, instability in delay equations modeling human respiration , 1994, Journal of mathematical biology.
[16] R. Whalen,et al. Cheyne-Stokes respiration. A review of clinical manifestations and critique of physiological mechanisms. , 1971, Archives of internal medicine.
[17] G D Swanson,et al. Central and peripheral chemoreflex loop gain in normal and carotid body-resected subjects. , 1979, Journal of applied physiology: respiratory, environmental and exercise physiology.
[18] D. Shannon,et al. A minimal mathematical model of human periodic breathing. , 1988, Journal of applied physiology.
[19] J. D. Horgan,et al. Analog Computer Studies of Periodic Breathing , 1962 .
[20] N. D. Hayes. Roots of the Transcendental Equation Associated with a Certain Difference‐Differential Equation , 1950 .
[21] E. P. Popov,et al. The Dynamics of Automatic Control Systems. , 1964 .
[22] H. Milhorn,et al. A MATHEMATICAL MODEL OF THE HUMAN RESPIRATORY CONTROL SYSTEM. , 1965, Biophysical journal.
[23] A S Slutsky,et al. Factors inducing periodic breathing in humans: a general model. , 1982, Journal of applied physiology: respiratory, environmental and exercise physiology.