Time and Methods in Environmental Interfaces Modelling Personal Insights

Description

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. Content: Developments in Environmental ModellingPage ii Front MatterPage iii CopyrightPage iv DedicationPage v PrefacePages xv-xxii Chapter 1 - Environmental interface: Definition and introductory commentsPages 3-10D.T. Mihailović, I. Balaž, D. Kapor Chapter 2 - Advanced theoretician's tools in the modelling of the environmental interface systemsPages 11-22D.T. Mihailović, I. Balaž, D. Kapor Chapter 3 - Approaches and meaning of time in the modelling of the environmental interface systemsPages 23-29D.T. Mihailović, I. Balaž, D. Kapor Chapter 4 - Examples of use of the formal complex analysisPages 31-39D.T. Mihailović, I. Balaž, D. Kapor Chapter 5 - Time in philosophy and physicsPages 43-50D.T. Mihailović, I. Balaž, D. Kapor Chapter 6 - Time in biologyPages 51-55D.T. Mihailović, I. Balaž, D. Kapor Chapter 7 - Functional time: Definition and examplesPages 57-66D.T. Mihailović, I. Balaž, D. Kapor Chapter 8 - Coupled logistic maps in the environmental interfaces modellingPages 69-76D.T. Mihailović, I. Balaž, D. Kapor Chapter 9 - Logistic difference equation on extended domainPages 77-83D.T. Mihailović, I. Balaž, D. Kapor Chapter 10 - Generalized logistic equation with affinity: Its use in modelling heterogeneous environmental interfacesPages 85-98D.T. Mihailović, I. Balaž, D. Kapor Chapter 11 - Maps serving the different coupling in the environmental interfaces modelling in the presence of noisePages 99-106D.T. Mihailović, I. Balaž, D. Kapor Chapter 12 - Heterarchy as a concept in environmental interfaces modellingPages 109-117D.T. Mihailović, I. Balaž, D. Kapor Chapter 13 - Heterarchy and biochemical substance exchange in a diffusively coupled ring of cellsPages 119-129D.T. Mihailović, I. Balaž, D. Kapor Chapter 14 - Heterarchy and albedo of the heterogeneous environmental interfaces in environmental modellingPages 131-147D.T. Mihailović, I. Balaž, D. Kapor Chapter 15 - Kolmogorov complexity and the measures based on this complexityPages 151-173D.T. Mihailović, I. Balaž, D. Kapor Chapter 16 - Complexity analysis of the ionizing and nonionizing radiation time seriesPages 175-205D.T. Mihailović, I. Balaž, D. Kapor Chapter 17 - Complexity analysis of the environmental fluid flow time seriesPages 207-234D.T. Mihailović, I. Balaž, D. Kapor Chapter 18 - How to face the complexity of climate models?Pages 235-250D.T. Mihailović, I. Balaž, D. Kapor Chapter 19 - Interrelations between mathematics and environmental sciencesPages 253-263D.T. Mihailović, I. Balaž, D. Kapor Chapter 20 - Chaos in modelling the global climate systemPages 265-283D.T. Mihailović, I. Balaž, D. Kapor Chapter 21 - Chaos in exchange of vertical turbulent energy fluxes over environmental interfaces in climate modelsPages 285-300D.T. Mihailović, I. Balaž, D. Kapor Chapter 22 - Synchronization and stability of the horizontal energy exchange between environmental interfaces in climate modelsPages 301-317D.T. Mihailović, I. Balaž, D. Kapor Chapter 23 - Environmental interfaces and their stability in biological systemsPages 321-334D.T. Mihailović, I. Balaž, D. Kapor Chapter 24 - Synchronization of the biochemical substance exchange between cellsPages 335-346D.T. Mihailović, I. Balaž, D. Kapor Chapter 25 - Complexity and asymptotic stability in the process of biochemical substance exchange in multicell systemPages 347-364D.T. Mihailović, I. Balaž, D. Kapor Chapter 26 - Use of pseudospectra in analyzing the influence of intercellular nanotubes on cell-to-cell communication integrityPages 365-382D.T. Mihailović, I. Balaž, D. Kapor IndexPages 383-389