scholarly journals Functional Interdependence in Coupled Dissipative Structures: Physical Foundations of Biological Coordination

Entropy ◽  
2021 ◽  
Vol 23 (5) ◽  
pp. 614
Author(s):  
Benjamin De Bari ◽  
Alexandra Paxton ◽  
Dilip K. Kondepudi ◽  
Bruce A. Kay ◽  
James A. Dixon

Coordination within and between organisms is one of the most complex abilities of living systems, requiring the concerted regulation of many physiological constituents, and this complexity can be particularly difficult to explain by appealing to physics. A valuable framework for understanding biological coordination is the coordinative structure, a self-organized assembly of physiological elements that collectively performs a specific function. Coordinative structures are characterized by three properties: (1) multiple coupled components, (2) soft-assembly, and (3) functional organization. Coordinative structures have been hypothesized to be specific instantiations of dissipative structures, non-equilibrium, self-organized, physical systems exhibiting complex pattern formation in structure and behaviors. We pursued this hypothesis by testing for these three properties of coordinative structures in an electrically-driven dissipative structure. Our system demonstrates dynamic reorganization in response to functional perturbation, a behavior of coordinative structures called reciprocal compensation. Reciprocal compensation is corroborated by a dynamical systems model of the underlying physics. This coordinated activity of the system appears to derive from the system’s intrinsic end-directed behavior to maximize the rate of entropy production. The paper includes three primary components: (1) empirical data on emergent coordinated phenomena in a physical system, (2) computational simulations of this physical system, and (3) theoretical evaluation of the empirical and simulated results in the context of physics and the life sciences. This study reveals similarities between an electrically-driven dissipative structure that exhibits end-directed behavior and the goal-oriented behaviors of more complex living systems.

Mathematics ◽  
2021 ◽  
Vol 9 (7) ◽  
pp. 728
Author(s):  
Yasunori Maekawa ◽  
Yoshihiro Ueda

In this paper, we study the dissipative structure of first-order linear symmetric hyperbolic system with general relaxation and provide the algebraic characterization for the uniform dissipativity up to order 1. Our result extends the classical Shizuta–Kawashima condition for the case of symmetric relaxation, with a full generality and optimality.


1983 ◽  
Vol 30 ◽  
Author(s):  
Yu.L. Khait

ABSTRACTTopics discussed: (a) The dissipative structure (DS) composed of the plasma bulk (PB), near-to-surface plasma layer (PL), surface and the adjacent material layer (ML) coupled by mass, electric charge, etc. fluxes and applications to plasma deposition. (b) The transient local dissipative structure (TLDS) formed by a single plasma ion impinging on the surface and associated with sputtering, etc.


2019 ◽  
Vol 33 (6) ◽  
pp. 1198-1218
Author(s):  
Lisa A.W. Kensler ◽  
Cynthia L. Uline

Purpose The purpose of this paper is to articulate, and advocate for, a deep shift in how the authors conceptualize and enact school leadership and reform. The authors challenge fundamental conceptions regarding educational systems and call for a dramatic shift from the factory model to a living systems model of schooling. The authors call is not a metaphorical call. The authors propose embracing assumptions grounded in the basic human nature as living systems. Green school leaders, practicing whole school sustainability, provide emerging examples of educational restoration. Design/methodology/approach School reform models have implicitly and even explicitly embraced industrialized assumptions about students and learning. Shifting from the factory model of education to a living systems model of whole school sustainability requires transformational strategies more associated with nature and life than machines. Ecological restoration provides the basis for the model of educational restoration. Findings Educational restoration, as proposed here, makes nature a central player in the conversations about ecologies of learning, both to improve the quality of learning for students and to better align educational practice with social, economic and environmental needs of the time. Educational leaders at all levels of the educational system have critical roles to play in deconstructing factory model schooling and reform. The proposed framework for educational restoration raises new questions and makes these opportunities visible. Discussion of this framework begins with ecological circumstances and then addresses, values, commitment and judgments. Practical implications Educational restoration will affect every aspect of teaching, learning and leading. It will demand new approaches to leadership preparation. This new landscape of educational practice is wide open for innovative approaches to research, preparation and practice across the field of educational leadership. Originality/value The model of educational restoration provides a conceptual foundation for future research and leadership practice.


2018 ◽  
Vol 43 (3) ◽  
pp. 221-235
Author(s):  
Alexander P. Gerasev

AbstractThis work presents the results of the mathematical modeling of the fast traveling wave propagation phenomenon in the fixed-bed catalytic reactors according to a simple (basic) mathematical model with a reversible reaction. Qualitative and quantitative research is used to study the behavior of separatrices’ trajectories of the system’s non-linear ordinary differential equations. Special attention has been paid to the non-equilibrium thermodynamic methods. The entropy balance equation is constructed and analyzed under the assumption of the simple mathematical model of physical and chemical processes. The influence of key physical and chemical parameters on the fast traveling wave properties is studied. The phenomenon of fast traveling wave propagation in the fixed-bed catalytic reactors provides a vivid example of a spatiotemporal dissipative structure in active heterogeneous medium. These dissipative structures are shown to exist near the thermodynamic equilibrium.


1997 ◽  
Vol 228 (3) ◽  
pp. 202-204 ◽  
Author(s):  
M.E.J. Newman ◽  
Simon M. Fraser ◽  
Kim Sneppen ◽  
William A. Tozier

2009 ◽  
Vol 07 (01) ◽  
pp. 243-268 ◽  
Author(s):  
KUMAR SELVARAJOO ◽  
MASARU TOMITA ◽  
MASA TSUCHIYA

Complex living systems have shown remarkably well-orchestrated, self-organized, robust, and stable behavior under a wide range of perturbations. However, despite the recent generation of high-throughput experimental datasets, basic cellular processes such as division, differentiation, and apoptosis still remain elusive. One of the key reasons is the lack of understanding of the governing principles of complex living systems. Here, we have reviewed the success of perturbation–response approaches, where without the requirement of detailed in vivo physiological parameters, the analysis of temporal concentration or activation response unravels biological network features such as causal relationships of reactant species, regulatory motifs, etc. Our review shows that simple linear rules govern the response behavior of biological networks in an ensemble of cells. It is daunting to know why such simplicity could hold in a complex heterogeneous environment. Provided physical reasons can be explained for these phenomena, major advancement in the understanding of basic cellular processes could be achieved.


A general, the simplest model of a spatial dissipative structure arising in an excitable medium is constructed, containing at least two components interacting with each other with their own mobility. One of these components (active) uses the other component as food. It is shown that such a model leads to a stationary stable spatial distribution of the components in the form of Liesegang bands. As specific examples of the formation of spatial dissipative structures, structures arising in plankton consisting of phytoplankton and zooplankton and in the soil containing the bacterial population and the nutrient substrate are considered. Bifurcation diagrams are constructed in the parameter space, characteristic for each of the considered excitable media, which determine the conditions for the formation of dissipative structures in these media. The existence in the plankton of a strange attractor of a previously unknown shape in four-dimensional phase space has been discovered.


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