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E-grāmata: Time and Methods in Environmental Interfaces Modelling: Personal Insights

(Faculty of Agriculture, University of Novi Sad, Serbia), (Faculty of Agriculture, University of Novi Sad, Serbia), (Faculty of Sciences, University of Novi Sad, Serbia)
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The field of environmental science requires the application of new fundamental approaches that can lead to a better understanding of environmental phenomena. This necessitates new approaches in modelling (including Category Theory) that follow new achievements in physics, mathematics, biology and chemistry. In this book the authors consider the use of time in environmental interfaces modelling and introduce new methods, from the global scale (e.g. climate modelling) to the micro scale (e.g. cell and nanotubes modelling), which primarily arise from the personal research insights of the authors.

  • Use of new mathematical tools including: Category Theory, Mathematical Theory of General Systems and Formal Concept Analysis, Matrix Theory Tools, Stability Analysis and Pseudospectra
  • New content related to time in relation to physics and biology
  • Experienced author team with over 35 papers of collective experience

Papildus informācija

An in-depth, interdisciplinary review of the applications of environmental interface modeling that provides the latest fundamentals and applications of the science
Preface xv
PART I INTRODUCTION
Chapter 1 Environmental interface: definition and introductory comments
3(8)
References
8(3)
Chapter 2 Advanced theoretician's tools in the modelling of the environmental interface systems
11(12)
2.1 Modelling Architecture
11(2)
2.2 Basics of Category Theory
13(2)
2.3 Basics of Mathematical Theory of General Systems
15(1)
2.4 Formal Concept Analysis in Modelling the Interaction of Living Systems and Their Environments
16(4)
2.5 Basic Concepts of the Chaos Theory
20(3)
References
21(2)
Chapter 3 Approaches and meaning of time in the modelling of the environmental interface systems
23(8)
3.1 Model Choice
23(3)
3.2 Continuous Time Versus Discrete Time in Building the Model
26(2)
3.3 Time in Model Building
28(3)
References
28(3)
Chapter 4 Examples of use of the formal complex analysis
31(12)
4.1 Use of Formal Complex Analysis in the Context of Animals: An Example
31(2)
4.2 Use of Formal Complex Analysis in Constructing the Subjective Interface Between Biological Systems and Their Environments
33(10)
References
39(4)
PART II TIME IN ENVIRONMENTAL INTERFACES MODELLING
Chapter 5 Time in philosophy and physics
43(8)
5.1 Time in Philosophy
43(3)
5.2 Time in Physics
46(5)
References
49(2)
Chapter 6 Time in biology
51(6)
References
55(2)
Chapter 7 Functional time: definition and examples
57(12)
7.1 Mollusk Time Reflex Formation
58(2)
7.2 Prisoner Time Formation in the Cell
60(1)
7.3 Functional Time Formation in Process of Biochemical Substance Exchange in Ring of Cells
61(8)
References
66(3)
PART III USE OF DIFFERENT COUPLED MAPS IN THE ENVIRONMENTAL INTERFACES MODELLING
Chapter 8 Coupled logistic maps in the environmental interfaces modelling
69(8)
8.1 Coupling of Two Logistic Maps
69(2)
8.2 An Example of Diffusive Coupling: Interaction of Two Environmental Interfaces on the Earth's Surface
71(2)
8.3 The Linear Coupling
73(4)
References
75(2)
Chapter 9 Logistic difference equation on extended domain
77(8)
9.1 Logistic Equation on Extended Domain: Mathematical Background
77(3)
9.2 Logistic Equation on Extended Domain in Coupled Maps Serving the Combined Coupling: A Dynamical Analysis
80(5)
References
83(2)
Chapter 10 Generalized logistic equation with affinity: its use in modelling heterogeneous environmental interfaces
85(14)
10.1 Generalized Logistic Map With Affinity: Mathematical Background
85(1)
10.2 Uncertainties in Modelling the Turbulent Energy Exchange Over the Heterogeneous Environmental Interfaces - Schmidt's Paradox
86(7)
10.3 Use of the Generalized Logistic Equation With Affinity in Modelling the Turbulent Energy Exchange Over the Heterogeneous Environmental Interfaces
93(6)
References
97(2)
Chapter 11 Maps serving the different coupling in the environmental interfaces modelling in the presence of noise
99(10)
11.1 Behavior of a Logistic Map Driven by Fluctuations
99(2)
11.2 Behavior of the Coupled Maps Serving the Combined Coupling in the Presence of Dynamical Noise
101(8)
References
106(3)
PART IV HETERARCHY AND EXCHANGE PROCESSES BETWEEN ENVIRONMENTAL INTERFACES
Chapter 12 Heterarchy as a concept in environmental interfaces modelling
109(10)
12.1 Hierarchy and Heterarchy
109(4)
12.2 Observational Heterarchy and Formalization of Heterarchical Levels
113(6)
References
117(2)
Chapter 13 Heterarchy and biochemical substance exchange in a diffusively coupled ring of cells
119(12)
13.1 Observational Heterarchy and Biochemical Substance Exchange Between Two Cells
119(5)
13.2 Simulations of Active Coupling in a Multicell System
124(7)
References
128(3)
Chapter 14 Heterarchy and albedo of the heterogeneous environmental interfaces in environmental modelling
131(20)
14.1 Heterarchy and Aggregation of Albedo Over Heterogeneous Environmental Interfaces
131(6)
14.2 Influence of the Albedo Calculation on the Effective Temperature of the Heterogeneous Grid-Box Consisting of Different Covers
137(14)
References
145(6)
PART V COMPLEXITY MEASURES AND TIME SERIES ANALYSIS OF THE PROCESSES AT THE ENVIRONMENTAL INTERFACES
Chapter 15 Kolmogorov complexity and the measures based on this complexity
151(24)
15.1 Introductory Comments About Complexity of Environmental Interface Systems
151(3)
15.2 In What Extent Kolmogorov Complexity Enlightens the Physical Complexity?
154(6)
15.3 Novel Measures Based on the Kolmogorov Complexity
160(7)
15.4 Application to Different Dynamical Systems
167(8)
References
171(4)
Chapter 16 Complexity analysis of the ionizing and nonionizing radiation time series
175(32)
16.1 A Complexity Analysis of 222Rn Concentration Variation in a Cave
175(9)
16.2 Use of Complexity Analysis in Analyzing the Dependence of 222Rn Concentration Time Series on Indoor Air Temperature and Humidity
184(7)
16.3 Use of the Kolmogorov Complexity and Its Spectrum in Analysis of the UV-B Radiation Time Series
191(16)
References
201(6)
Chapter 17 Complexity analysis of the environmental fluid flow time series
207(28)
17.1 Complexity Analysis of the Mountain River Flow Time Series
207(8)
17.2 Randomness Representation in Turbulent Flows with Bed Roughness Elements Using the Kolmogorov Complexity Spectrum
215(7)
17.3 Application of the Complexity Measures Based on the Kolmogorov Complexity on the Analysis of Different River Flow Regimes
222(13)
References
231(4)
Chapter 18 How to face the complexity of climate models?
235(18)
18.1 Complexity of the Observed Climate Time Series
235(5)
18.2 Complexity of the Modeled Climate Time Series
240(13)
References
249(4)
PART VI PHENOMENON OF CHAOS IN COMPUTING THE ENVIRONMENTAL INTERFACE VARIABLES
Chapter 19 Interrelations between mathematics and environmental sciences
253(12)
19.1 The Role of Mathematics in Environmental Sciences
253(3)
19.2 Difference Equations and Occurrence of Chaos in Modelling of Phenomena in the Environmental World
256(9)
References
262(3)
Chapter 20 Chaos in modelling the global climate system
265(20)
20.1 Climate Predictability and Climate Models
265(4)
20.2 An Example of the Regional Climate Model Application
269(9)
20.3 Occurrence of Chaos at Environmental Interfaces in Climate Models
278(7)
References
280(5)
Chapter 21 Chaos in exchange of vertical turbulent energy fluxes over environmental interfaces in climate models
285(16)
21.1 Chaos in Computing the Environmental Interface Temperature
285(8)
21.2 A Dynamic Analysis of Solutions for the Environmental Interface and Deeper Soil Layer Temperatures Represented by the Coupled Difference Equations
293(8)
References
299(2)
Chapter 22 Synchronization and stability of the horizontal energy exchange between environmental interfaces in climate models
301(20)
22.1 Synchronization in Horizontal Energy Exchange Between Environmental Interfaces
301(3)
22.2 Stability of Horizontal Energy Exchange Between Environmental Interfaces
304(17)
References
316(5)
PART VII SYNCHRONIZATION AND STABILITY OF THE BIOCHEMICAL SUBSTANCE EXCHANGE BETWEEN CELLS
Chapter 23 Environmental interfaces and their stability in biological systems
321(14)
23.1 Building Blocks of Environmental Interfaces
321(3)
23.2 Emergence of Functionality
324(7)
23.3 Functional Stability
331(4)
References
333(2)
Chapter 24 Synchronization of the biochemical substance exchange between cells
335(12)
24.1 A Model Representing Biochemical Substance Exchange Between Cells: Model Formalization
335(5)
24.2 Synchronization of the Biochemical Substance Exchange Between Cells: Effect of Fluctuations of Environmental Parameters to Behavior of the Model
340(7)
References
345(2)
Chapter 25 Complexity and asymptotic stability in the process of biochemical substance exchange in multicell system
347(18)
25.1 Complexity of the Intercellular Biochemical Substance Exchange
347(3)
25.2 Asymptotic Stability of the Intercellular Biochemical Substance Exchange
350(7)
25.3 Biochemical Substance Exchange in a Multicell System
357(8)
References
363(2)
Chapter 26 Use of pseudospectra in analyzing the influence of intercellular nanotubes on cell-to-cell communication integrity
365(18)
26.1 Biological Importance of Tunneling Nanotubes
365(5)
26.2 Computing the Threshold of the Influence of Intercellular Nanotubes on Cell-to-Cell Communication Integrity
370(3)
26.3 Analysis of a Simple Deterministic Model of Intercellular Communication
373(10)
References
379(4)
Index 383
Dragutin Mihailovic is Professor in Meteorology and Environmental Fluid Mechanics at the University of Novi Sad (Serbia). He received a B.Sc. in Physics at the University of Belgrade, his M.Sc. in Meteorology at the University of Belgrade, Serbia and defended his Ph.D.Thesis in Meteorology at the University of Belgrade. He was the Visiting Professor at University at Albany, The State University of New York at Albany (USA), Visiting Scientist at University of Agriculture, Wageningen (The Netherlands) and Visiting Researcher in the Norwegian Meteorological Institute (Norway). He has more than 100 peer-reviewed scientific papers in the international journals in subjects related to land-atmosphere processes, air pollution modelling and chemical transport models, boundary layer meteorology, physics and modelling of environmental interfaces, modelling of complex biophysical systems, nonlinear dynamics and complexity. He edited five books form environmental fluid mechanics (Taylor & Francis, World Scientific and Nova Science Publishers). He was the member of the Editorial Board of Environmental Modelling and Software (1992-2010) and reviewer in several scientific journals. He was the principal investigator in a FP6 project and several international projects (Colorado State University and several European countries). Igor Balaz is Assistant Professor of Biophysics, Physics and Meteorology. He received MSc in biology and PhD in physics of complex systems at the University of Novi Sad. He is currently working within the Serbian national research project on subtopic: Modelling of biological systems”. His work is mainly focused on modeling spontaneous emergence of innovations in biological evolution. On three occasions he was the visiting researcher at the Department of Earth and Planetary Sciences, Kobe University, Japan where he worked on modeling adaptability of organization of living systems with prof. Yukio-Pegio Gunji. He was also the visiting researcher at University of Rostock, Germany (the Systems Biology and Bioinformatics research group, Institute for Informatics) and at the Friedrich-Schiller-University Jena, Germany (Bio Systems Analysis Group, Institute of Computer Science). He has over 30 peer-reviewed scientific papers in the international journals and chapters in research monographs. Darko Kapor is the retired Professor of Theoretical and Mathematical Physics. He received a B.Sc. in Physics at the University of Novi Sad, his M.Sc. in Theoretical Physics at the University of Belgrade, Serbia and defended his Ph.D.Thesis in Theoretical Physics at the University of Novi Sad. Along with his teaching activities in Physics, he also taught at the multidisciplinary studies of the Center for Meteorology and Environmental Modelling (CMEM ACIMSI) of the University of Novi Sad. His main research interest is the Theoretical Condensed Matter Physics, where he was the head of the projects financed by the Ministry for Science of the Republic of Serbia. During the last 20 years, he has developed an interest in the problems of theoretical meteorology and worked with the Meteorology group at the Faculty of Agriculture and Faculty of Sciences. He has more than 120 peer-reviewed scientific papers in the international journals and chapters in research monographs. While preparing his Ph.D.Thesis, he spent several months in French laboratories (Saclay, Orsay, Grenoble) and in 1990/91 he was the Fullbright grantee at the University of California at San Diego. For a long period he cooperated with the members of Theoretical Condensed Matter Group at KFKI MTA, Budapest, Hungary. Prof. Kapor invested a lot of effort in Physics popularization by working with talented pupils and teachers. He was the organizer of Physics problems solving contests for the elementary schools. His experience from this work was important while he coauthored textbooks in Physics for elementary and secondary schools.