Biologically Variable Respiration as a Stochastic Process in Ventilation – a Stochastic Model Study
Based on the fractal bronchial tree, we introduced a function of “asynchronous phasic contractions of lobular bronchiole”, which would generate fluctuations in tidal volumes. Stochastic control theory was able to describe a genesis of biological variability in spontaneous respirations using a Schroedinger wave function.
KeywordsTidal Volume Stochastic Differential Equation Total Potential Energy Biological Variability Quantum Property
- Krahl, V.E. (1964) In vivo Microscopy of the rabbit lung. Bibl. Anat. 4, 400–410.Google Scholar
- MacDonald, N. (1983) Trees and networks in biological models (pp. 110–121). New York: John Wiely and Sons.Google Scholar
- Min, K.Y., Kawai, M., Tamoto, A. et al. (1987) Geometrical Analysis on the Pulmonary Lobular polyhedral (PLP) and consideration of the way of arrangement of PLPs in the lung – A new theoretical lobular model of the lung. Nihon Kyoubu Sikkan Gakkai, 25, 722–730 (Japanese with the abstract in English).Google Scholar
- Nagasawa, M. (2000) Markov processes in quantum physics. Monographs in Mathematics (Vol. 94, pp. 4–26). Berlin: Springer.Google Scholar