Limited Offer

# Time and Methods in Environmental Interfaces Modelling

## Personal Insights

- 1st Edition, Volume 29 - October 31, 2016
- Authors: Dragutin T Mihailovic, Igor Balaž, Darko Kapor
- Language: English
- Hardback ISBN:9 7 8 - 0 - 4 4 4 - 6 3 9 1 8 - 9
- eBook ISBN:9 7 8 - 0 - 4 4 4 - 6 3 9 2 3 - 3

Time and Methods in Environmental Interfaces Modelling: Personal Insights considers the use of time in environmental interfaces modeling and introduce new methods, from the globa… Read more

## Purchase options

## Institutional subscription on ScienceDirect

Request a sales quote*Time and Methods in Environmental Interfaces Modelling: Personal Insights* considers the use of time in environmental interfaces modeling and introduce new methods, from the global scale (e.g. climate modeling) to the micro scale (e.g. cell and nanotubes modeling), which primarily arise from the personal research insights of the authors.

As the field of environmental science requires the application of new fundamental approaches that can lead to a better understanding of environmental phenomena, this book helps necessitate new approaches in modeling, including category theory, that follow new achievements in physics, mathematics, biology, and chemistry.

- Includes the use of new mathematical tools, such as category theory, mathematical theory of general systems and formal concept analysis, matrix theory tools, stability analysis, and pseudospectra
- Presents new content related to time in relation to physics and biology
- Combines the word of an experienced author team with over 35 papers of collective experience

- Developments in Environmental Modelling
- Dedication
- Preface
- Part I: Introduction
- Chapter 1. Environmental interface: Definition and introductory comments
- Chapter 2. Advanced theoretician's tools in the modelling of the environmental interface systems
- 2.1. Modelling Architecture
- 2.2. Basics of Category Theory
- 2.3. Basics of Mathematical Theory of General Systems
- 2.4. Formal Concept Analysis in modelling the Interaction of Living Systems and Their Environments
- 2.5. Basic Concepts of the Chaos Theory

- Chapter 3. Approaches and meaning of time in the modelling of the environmental interface systems
- 3.1. Model Choice
- 3.2. Continuous Time Versus Discrete Time in Building the Model
- 3.3. Time in Model Building

- Chapter 4. Examples of use of the formal complex analysis
- 4.1. Use of Formal Complex Analysis in the Context of Animals: An Example
- 4.2. Use of Formal Complex Analysis in Constructing the Subjective Interface Between Biological Systems and Their Environments

- Part II: Time in Environmental Interfaces Modelling
- Chapter 5. Time in philosophy and physics
- 5.1. Time in Philosophy
- 5.2. Time in Physics

- Chapter 6. Time in biology
- Chapter 7. Functional time: Definition and examples
- 7.1. Mollusk Time Reflex Formation
- 7.2. Prisoner Time Formation in the Cell
- 7.3. Functional Time Formation in Process of Biochemical Substance Exchange in Ring of Cells

- Chapter 5. Time in philosophy and physics
- Part III: Use of Different Coupled Maps in the Environmental Interfaces Modelling
- Chapter 8. Coupled logistic maps in the environmental interfaces modelling
- 8.1. Coupling of Two Logistic Maps
- 8.2. An Example of Diffusive Coupling: Interaction of Two Environmental Interfaces on the Earth's Surface
- 8.3. The Linear Coupling

- Chapter 9. Logistic difference equation on extended domain
- 9.1. Logistic Equation on Extended Domain: Mathematical Background
- 9.2. Logistic Equation on Extended Domain in Coupled Maps Serving the Combined Coupling: A Dynamical Analysis

- Chapter 10. Generalized logistic equation with affinity: Its use in modelling heterogeneous environmental interfaces
- 10.1. Generalized Logistic Map With Affinity: Mathematical Background
- 10.2. Uncertainties in Modelling the Turbulent Energy Exchange Over the Heterogeneous Environmental Interfaces — Schmidt's Paradox
- 10.3. Use of the Generalized Logistic Equation With Affinity in Modelling the Turbulent Energy Exchange Over the Heterogeneous Environmental Interfaces

- Chapter 11. Maps serving the different coupling in the environmental interfaces modelling in the presence of noise
- 11.1. Behavior of a Logistic Map Driven by Fluctuations
- 11.2. Behavior of the Coupled Maps Serving the Combined Coupling in the Presence of Dynamical Noise

- Chapter 8. Coupled logistic maps in the environmental interfaces modelling
- Part IV: Heterarchy and Exchange Processes Between Environmental Interfaces
- Chapter 12. Heterarchy as a concept in environmental interfaces modelling
- 12.1. Hierarchy and Heterarchy
- 12.2. Observational Heterarchy and Formalization of Heterarchical Levels

- Chapter 13. Heterarchy and biochemical substance exchange in a diffusively coupled ring of cells
- 13.1. Observational Heterarchy and Biochemical Substance Exchange Between Two Cells
- 13.2. Simulations of Active Coupling in a Multicell System

- Chapter 14. Heterarchy and albedo of the heterogeneous environmental interfaces in environmental modelling
- 14.1. Heterarchy and Aggregation of Albedo Over Heterogeneous Environmental Interfaces
- 14.2. Influence of the Albedo Calculation on the Effective Temperature of the Heterogeneous Grid-Box Consisting of Different Covers

- Chapter 12. Heterarchy as a concept in environmental interfaces modelling
- 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
- 15.1. Introductory Comments About Complexity of Environmental Interface Systems
- 15.2. In What Extent Kolmogorov Complexity Enlightens the Physical Complexity?
- 15.3. Novel Measures Based on the Kolmogorov Complexity
- 15.4. Application to Different Dynamical Systems

- Chapter 16. Complexity analysis of the ionizing and nonionizing radiation time series
- 16.1. A Complexity Analysis of
^{222}Rn Concentration Variation in a Cave - 16.2. Use of Complexity Analysis in Analyzing the Dependence of
^{222}Rn Concentration Time Series on Indoor Air Temperature and Humidity - 16.3. Use of the Kolmogorov Complexity and Its Spectrum in Analysis of the UV-B Radiation Time Series

- 16.1. A Complexity Analysis of
- Chapter 17. Complexity analysis of the environmental fluid flow time series
- 17.1. Complexity Analysis of the Mountain River Flow Time Series
- 17.2. Randomness Representation in Turbulent Flows with Bed Roughness Elements Using the Kolmogorov Complexity Spectrum
- 17.3. Application of the Complexity Measures Based on the Kolmogorov Complexity on the Analysis of Different River Flow Regimes

- Chapter 18. How to face the complexity of climate models?
- 18.1. Complexity of the Observed Climate Time Series
- 18.2. Complexity of the Modeled Climate Time Series

- Chapter 15. Kolmogorov complexity and the measures based on this complexity
- Part VI: Phenomenon of Chaos in Computing the Environmental Interface Variables
- Chapter 19. Interrelations between mathematics and environmental sciences
- 19.1. The Role of Mathematics in Environmental Sciences
- 19.2. Difference Equations and Occurrence of Chaos in Modelling of Phenomena in the Environmental World

- Chapter 20. Chaos in modelling the global climate system
- 20.1. Climate Predictability and Climate Models
- 20.2. An Example of the Regional Climate Model Application
- 20.3. Occurrence of Chaos at Environmental Interfaces in Climate Models

- Chapter 21. Chaos in exchange of vertical turbulent energy fluxes over environmental interfaces in climate models
- 21.1. Chaos in Computing the Environmental Interface Temperature
- 21.2. A Dynamic Analysis of Solutions for the Environmental Interface and Deeper Soil Layer Temperatures Represented by the Coupled Difference Equations

- Chapter 22. Synchronization and stability of the horizontal energy exchange between environmental interfaces in climate models
- 22.1. Synchronization in Horizontal Energy Exchange Between Environmental Interfaces
- 22.2. Stability of Horizontal Energy Exchange Between Environmental Interfaces

- Chapter 19. Interrelations between mathematics and environmental sciences
- Part VII: Synchronization and Stability of the Biochemical Substance Exchange Between Cells
- Chapter 23. Environmental interfaces and their stability in biological systems
- 23.1. Building Blocks of Environmental Interfaces
- 23.2. Emergence of Functionality
- 23.3. Functional Stability

- Chapter 24. Synchronization of the biochemical substance exchange between cells
- 24.1. A Model Representing Biochemical Substance Exchange Between Cells: Model Formalization
- 24.2. Synchronization of the Biochemical Substance Exchange Between Cells: Effect of Fluctuations of Environmental Parameters to Behavior of the Model

- Chapter 25. Complexity and asymptotic stability in the process of biochemical substance exchange in multicell system
- 25.1. Complexity of the Intercellular Biochemical Substance Exchange
- 25.2. Asymptotic Stability of the Intercellular Biochemical Substance Exchange
- 25.3. Biochemical Substance Exchange in a Multicell System

- Chapter 26. Use of pseudospectra in analyzing the influence of intercellular nanotubes on cell-to-cell communication integrity
- 26.1. Biological Importance of Tunneling Nanotubes
- 26.2. Computing the Threshold of the Influence of Intercellular Nanotubes on Cell-To-Cell Communication Integrity
- 26.3. Analysis of a Simple Deterministic Model of Intercellular Communication

- Chapter 23. Environmental interfaces and their stability in biological systems
- Index

- No. of pages: 412
- Language: English
- Edition: 1
- Volume: 29
- Published: October 31, 2016
- Imprint: Elsevier
- Hardback ISBN: 9780444639189
- eBook ISBN: 9780444639233

DM

### Dragutin T Mihailovic

IB

### Igor Balaž

DK

### Darko Kapor

*Time and Methods in Environmental Interfaces Modelling*on ScienceDirect