How Medicine Informs Informatics: Information is Asymmetry, Not Entropy§

Sabelli, Hector

doi:10.2174/1874110x00802010106

Cited by 4 publications

(3 citation statements)

References 30 publications

(40 reference statements)

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“…Complementary plot method is one of the most proper representations for Poincaré section of complex dynamics, because, as earlier said, it has a qualitative approach toward signal (Sabelli, 2000(Sabelli, , 2001(Sabelli, , 2003(Sabelli, , 2008(Sabelli, , 2005. Considering the special conditions of this representation, here, intersection with a circle y 2 ϩ x 2 ϭ r 2 will be used; the important fact is, on the contrary to previous representations in which circular section had energy concept, here circular section considers phases.…”

Section: Complementary Plot Representation and Circular Poincaré Section Methodsmentioning

confidence: 99%

“…When amplitude of time series is greater than 2, transformation will be non-invertible. Few processes have been studied by Sabelli whose complement plots may reveal mandala-like patterns as heartbeat intervals, mathematically biotic series, prime number series and Schrödinger equation series (Sabelli, 2008). Due to alternating essence of the map, the points with the same phase do not necessarily have same amplitude in time series; therefore, this transform is not injective and consequently not reversible.…”

Section: Complement Plotsmentioning

confidence: 99%

“…The central nervous system consists of two types of synapses: inhibitory and excitatory. Excitatory synapses operate as positive feedbacks and inhibitory as negative ones (Sabelli, 2008). Coexistence of opposite types of synapses provides a bipolar feedback.…”

Section: Why Complement Plots Could Identify Asd Characteristics Pattern Of Organization?mentioning

confidence: 99%

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Poincaré section analysis of the electroencephalogram in autism spectrum disorder using complement plots

Bajestani¹,

Golpayegani

Sheikhani

et al. 2017

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Purpose This paper aims to explain, first of all, signal modeling steps using Poincaré, and then considering the occurred events, concept of information applying Poincaré section and information approach, the brain pattern variations in autism spectrum disorder (ASD) cases will be diagnosed. A kind of representation of electroencephalogram (EEG) signal, namely, complementary plot, in which the main characteristic is special attention to asymmetry and symmetry coexist in natural and human processes, is introduced. In this paper, a new model is provided whose variations of patterns are similar to EEG’s when the transformation parameter is changed. A significant difference between ASD and healthy cases was also observed, which could be used to distinguish between various types of systems. Design/methodology/approach Complementary plot method is one of the most proper representations for Poincaré section of complex dynamics, because, as it was said about its characteristics, it has a qualitative approach toward signal (Sabelli, 2000, 2001, 2003, 2008, 2005, Sabelli et al., 2011). Considering the special conditions of this representation, here, intersection with a circle y2 + x2 = r2 will be used; the important fact is, on the contrary to previous representations in which circular section had energy concept, here circular section considers phases. For finding trajectory intersection points, after calculating the sin and cosine of each term of EEG, plotting them in XY plane and drawing a chord between successive points of presentation transitions, then its intersections with the assumed circle are determined. But considering the sampling frequency, chords and Poincaré section, in this space, a minimum error – as the threshold – should be assumed in the program. Findings Natural and human processes are biotic (life-like) and creative (Sabelli and Galilei), and studying coexisting opposites by calculating the sine and cosine of each term in heartbeat intervals, weather variables and integer biotic series or random walk reveals an astonishingly regular mandala pattern; these patterns are not generated by random, periodic or chaotic series (Sabelli, 2005). This paper shows that in EEG of ASD children, mandala-like patterns of concentric rings are emergent in all situations (baseline – watching animation with voice and without voice) and electrode site (C3 and C4), but not in healthy individuals. The authors take the relation between sine and cosine functions as a mathematical model for complementary opposition, because it involves reciprocity and orthogonality sine and cosine are natural models for information. In fact, trigonometric analyses of empirical data to be described in this paper suggest expanding the concept of co-creative opposition to include uncorrelated opposites and partial opposites, i.e. partial agonists and partial antagonists that are neither linear nor orthogonal. Using Poincaré sections, it is shown that the difference in information and creativity of the data is the distinctive characteristic in ASD and healthy cases. Creation is the generation of novelty, diversity and complexity in complex systems. Originality/value This paper is an original paper based on cybernetic approaches for studying the variations of ASD children.

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Section: Complementary Plot Representation and Circular Poincaré Section Methodsmentioning

confidence: 99%

Section: Complement Plotsmentioning

confidence: 99%

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Poincaré section analysis of the electroencephalogram in autism spectrum disorder using complement plots

Bajestani¹,

Golpayegani

Sheikhani

et al. 2017

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Causal Creation in Social Processes: Empirical Analysis and Theoretical Implications

Sabelli¹

2011

TOCSJ

Self Cite

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This article presents empirical evidence for the creativity of social processes, as contrasted to both deterministic and random models of biological and economic phenomena. New methods for the analysis of empirical data indicate that population changes, financial data and other socioeconomic time series display non-periodic, apparently irregular patterns that evolve in time (temporal complexity), increase in diversity (diversification), and repeat less frequently than randomized copies of the data (novelty). Recurrence and autocorrelation measures indicate that these patterns are generated causally, not randomly. These measurements demonstrating causality and creativity in economic, social, and population processes indicate a non-stationary chaotic pattern (Bios) and suggest an alternative to current models that postulate either causal determinism or random change. Causal and creative chaotic patterns (Bios) are also observed in fundamental natural and human processes (quantum processes, cosmological expansion in the distribution of galaxies and quasars, animal populations, and heart and respiratory rates). Mathematical models show that Bios patterns are generated by equations that combine recurring change (recursion), bipolar opposition (e.g. sine functions) and conservation. Consumption and production (demand and supply) are obvious factors accounting for the generation of Bios in economic processes. Generations, sex, nations, races and classes are fundamental oppositions in social processes that may explain the generation of Bios. The extreme sensitivity of Bios to initial conditions' (external inputs) indicates the possibility of modifying the course of social processes, and the need to develop flexible methods rather than planning economic development. To develop such methods, and based on the empirical results here reported, this article articulates a new theory of social organization and change that advances three principles: (1) action (flow of energy in unidirectional time) as the one and only component of both processes and ideas; (2) opposition, both synergic and conflictual, as present in, and organizing, all physical, biological and mental processes; and (3) priority to nature and supremacy to persons as an unavoidable reality and a desirable pattern of action.

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The Biotic Logic of Quantum Processes and Quantum Computation

Sabelli¹,

Kauffman

2013

Complexity Science, Living Systems, and Reflexing Interfaces

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This chapter explores how the logic of physical and biological processes may be employed in the design and programing of computers. Quantum processes do not follow Boolean logic; the development of quantum computers requires the formulation of an appropriate logic. While in Boolean logic, entities are static, opposites exclude each other, and change is not creative, natural processes involve action, opposition, and creativity. Creativity is detected by changes in pattern, diversification, and novelty. Causally-generated creative patterns (Bios) are found in numerous processes at all levels of organization: recordings of presumed gravitational waves, the distribution of galaxies and quasars, population dynamics, cardiac rhythms, economic data, and music. Quantum processes show biotic patterns. Bios is generated by mathematical equations that involve action, bipolar opposition, and continuous transformation. These features are present in physical and human processes. They are abstracted by lattice, algebras, and topology, the three mother structures of mathematics, which may then be considered as dynamic logic. Quantum processes as described by the Schrödinger’s equation involve action, coexisting and interacting opposites, and the causal creation of novelty, diversity, complexity and low entropy. In addition to ‘economic’ (not entropy producing) reversible gates (the current goal in the design of quantum gates), irreversible, entropy generating, gates may contribute to quantum computation, because quantum measurements, as well as creation and decay, are irreversible processes.

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How Medicine Informs Informatics: Information is Asymmetry, Not Entropy§

Cited by 4 publications

References 30 publications

Poincaré section analysis of the electroencephalogram in autism spectrum disorder using complement plots

Poincaré section analysis of the electroencephalogram in autism spectrum disorder using complement plots

Causal Creation in Social Processes: Empirical Analysis and Theoretical Implications

The Biotic Logic of Quantum Processes and Quantum Computation

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