Time and Methods in Environmental Interfaces Modelling: Personal Insights

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 pseudospectraPresents new content related to time in relation to physics and biologyCombines the word of an experienced author team with over 35 papers of collective experience

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

Chapter 3. Approaches and meaning of time in the modelling of the environmental interface systems

Chapter 4. Examples of use of the formal complex analysis

Part II: Time in Environmental Interfaces Modelling

Chapter 5. Time in philosophy and physics

Chapter 6. Time in biology

Chapter 7. Functional time: Definition and examples

Part III: Use of Different Coupled Maps in the Environmental Interfaces Modelling

Chapter 8. Coupled logistic maps in the environmental interfaces modelling

Chapter 9. Logistic difference equation on extended domain

Chapter 10. Generalized logistic equation with affinity: Its use in modelling heterogeneous environmental interfaces

Chapter 11. Maps serving the different coupling in the environmental interfaces modelling in the presence of noise

Part IV: Heterarchy and Exchange Processes Between Environmental Interfaces

Chapter 12. Heterarchy as a concept in environmental interfaces modelling

Chapter 13. Heterarchy and biochemical substance exchange in a diffusively coupled ring of cells

Chapter 14. Heterarchy and albedo of the heterogeneous environmental interfaces in environmental 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

Chapter 16. Complexity analysis of the ionizing and nonionizing radiation time series

Chapter 17. Complexity analysis of the environmental fluid flow time series

Chapter 18. How to face the complexity of climate models?

Part VI: Phenomenon of Chaos in Computing the Environmental Interface Variables

Chapter 19. Interrelations between mathematics and environmental sciences

Chapter 20. Chaos in modelling the global climate system

Chapter 21. Chaos in exchange of vertical turbulent energy fluxes over environmental interfaces in climate models

Chapter 22. Synchronization and stability of the horizontal energy exchange between environmental interfaces in climate models

Part VII: Synchronization and Stability of the Biochemical Substance Exchange Between Cells

Chapter 23. Environmental interfaces and their stability in biological systems

Chapter 24. Synchronization of the biochemical substance exchange between cells

Chapter 25. Complexity and asymptotic stability in the process of biochemical substance exchange in multicell system

Chapter 26. Use of pseudospectra in analyzing the influence of intercellular nanotubes on cell-to-cell communication integrity