Rhythmogenesis of Deterministic Breathing Patterns

The physiological act of breathing functionally can be conceived as being governed by separate central rhythm and pattern generators within the brainstem/spinal cord which are subject to nonlinear afferent feedback and suprapontine feedforward inputs of varying coupling strengths. This complex network sculptures the spatiotemporal configurations and movements of the diaphragm and chest wall to effect the exchange of gases between alveolar space and the environment. As is common for many intrinsically stable physiological systems, the respiratory controller is characterized by nonstationarities and transients, the presence of which may preclude the accuracy of otherwise useful ergodic techniques in the analysis of complex systems. From the geometric perspective, however, recurrence plots are robust against dynamical transients and system drifts, and they are proving to be very helpful in assessing the dynamics of breathing patterns. Their general applicability to numerous other rhythmical phenomena in the physiological realm (cardiovascular, central neural, gastrointestinal systems, etc.) is intuitive. Finally, Shannon entropy, a gauge of randomness and information, and percent recurrence are introduced as possible measures of complexity for biological systems in quasi-steady states or transition phases.

[1]  O. Lutz,et al.  The magnetic moment of 207Pb and the shielding of lead ions by water , 1971 .

[2]  L. Olsen,et al.  Chaos in biological systems. , 1985 .

[3]  R. Stephenson,et al.  H+ and HCO3- flux across apical surface of rat distal colon. , 1990, The American journal of physiology.

[4]  L. Glass,et al.  Chaos in multi-looped negative feedback systems. , 1990, Journal of theoretical biology.

[5]  D. Ruelle,et al.  Recurrence Plots of Dynamical Systems , 1987 .

[6]  Jan Klaschka,et al.  Modification of the Grassberger-Procaccia algorithm for estimating the correlation exponent of chaotic systems with high embedding dimension , 1990 .

[7]  John Guckenheimer,et al.  Noise in chaotic systems , 1982 .

[8]  R. Lydic,et al.  State‐dependent aspects of regulatory physiology 1 , 1987, FASEB journal : official publication of the Federation of American Societies for Experimental Biology.

[9]  H. Koepchen,et al.  Cardiorespiratory and Motor Coordination , 1991, Springer Berlin Heidelberg.

[10]  D. Ruelle Diagnosis of dynamical systems with fluctuating parameters , 1987, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[11]  Bruce J. West,et al.  Chaos and fractals in human physiology. , 1990, Scientific American.

[12]  M. Mackey,et al.  Temporal Disorder in Human Oscillatory Systems , 1987 .

[13]  S. Rossignol,et al.  Neural Control of Rhythmic Movements in Vertebrates , 1988 .

[14]  O. Rössler An equation for continuous chaos , 1976 .