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Sabelli, H. Process Methods Identify Biotic Patterns of Heartbeat Variation.  Proceedings of the 4^th Systems Science European Congress. Edited by L. Ferrer et al. Valencia, Espaňa: Diputación de Valencia, 1999, pp 493-502.  Presented to 4^th Systems Science European Congress. Valencia-Ibiza, Espaňa, 1999.

Process Methods: Empirical Measures Of Novelty

Identify Biotic Patterns Of Heartbeat Variation

H. Sabelli, M.D., Ph.D.

Chicago Center for Creative Development, Chicago, Illinois, U.S.A.  hsabelli@.rpslmc.edu

Abstract:  This article presents the development of a method to study creative processes through the systematic study of empirical time series (physical, biological, economic), searching for features of creativity (novelty, complexity, diversity, and time-limited, episodic patterns), and comparing them with computer-generated series modeling random, periodic, chaotic, and biotic patterns.  The process method comprises the systematic examination of time series in frameworks of 1, 2, 3, ..N dimensions, to reveal both simple and complex components of variation.  One dimensional time graphs portray natural phenomena are temporal sequences of discrete actions (e.g cardiac contractions).  Two dimensional complement plots measure coexisting opposites, and reveal an unexpected regularity in the apparently random sequence of heartbeat intervals.  Three dimensional factor analysis and wavelet plots portray tridimensional structure.  Multidimensional recurrence analysis identifies the duration and morphology of episodic patterns (“complexes”) in biological and economic processes, and differentiate them from the uniform patterns generated by periodic and chaotic attractors.  Recurrence quantification provide an operational definition and measure of novelty as a recurrence rate lower than that of randomized copies of the time series.  Time series entropy measures symmetry and diversity at multiple dimensions and as a function of the number of data points.  Using these process methods, we have identified bios, a hereto unrecognized pattern of creative organization that obtains in some physiological and economic processes, and can be generated by the process equation A_t+1 =   A_t + g_t sin A_t  modeling process theory. 

The following figures illustrate some of the methods described.  See also

novelty, complement plot, recurrence. 

Insert figures Diamond

Entropy bins

Entropy N heart

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Last update: October 24, 2006