Inspection of multidimensional phase spaces with an application to the dynamics of hormonal systemsReport as inadecuate




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Abstract : We look directly into multidimensional phase spaces. This is useful if little is known about suitable observables and underlying laws. The dynamical system we examine is the human body, in particular the secretion of the parathyroid hormone PTH. Time series of PTH concentrations are transformed to multidimensional data sets. From their representations in phase space we derive a suitable observable: the average lifetime of a PTH fluctuation. It provides a clear-cut discrimination between health and two metabolic bone diseases, viz. osteoporosis and hyperparathyroidism. The derivation is done step by step: First we consider multidimensional displays and observe that it is certain correlation function which plays an important role. Then a single number is taken from that correlation function, and a threshold value is suggested.





Author: U. Brosa H.-M. Harms K. Prank R.-D. Hesch

Source: https://hal.archives-ouvertes.fr/



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