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Aspects of Mathematical Modelling
The construction of mathematical models is an essential scientific activity. Mathematics is associated with developments in science and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in other fields. This book demonstrates the application of mathematics to research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.
The Development Of Dictyostelium Discoideum
The Development of Dictyostelium discoideum consists of 11 chapters representing the 11 major aspects at which continuous progress are made in the study of Dictyostelium discoideum. This book begins with the discovery, classification, ecology, and development of Dictyostelium discoideum. It then outlines the advances in genetic manipulation and mutant isolation of the organism. Much of the advances in cell biology have been related to a better understanding of the composition and function of the cell membrane. Hence, analyses of Dictyostelium plasma membranes are collated. This reference material also describes the role of chemoattractants in organizing cell movements and the intracellular e...
Self-Organization of Complex Structures
During the past twenty years, a broad spectrum of theories and methods have been developed in physics, chemistry and molecular biology to explain structure formation in complex systems. These methods have been applied to many different fields such as economics, sociology and town planning, and this book reflects the interdisciplinary nature of complexity and self-organisation. The main focus is on the emergence of collective phenomena from individual or microscopic interactions. Presents a wide-ranging overview from fundamental aspects of the evolution of complexity, to applications in biology, ecology, sociology, economics, and urban structure formation.
Introduction to Mathematical Modeling and Chaotic Dynamics
Introduction to Mathematical Modeling and Chaotic Dynamics focuses on mathematical models in natural systems, particularly ecological systems. Most of the models presented are solved using MATLAB®. The book first covers the necessary mathematical preliminaries, including testing of stability. It then describes the modeling of systems from natural science, focusing on one- and two-dimensional continuous and discrete time models. Moving on to chaotic dynamics, the authors discuss ways to study chaos, types of chaos, and methods for detecting chaos. They also explore chaotic dynamics in single and multiple species systems. The text concludes with a brief discussion on models of mechanical systems and electronic circuits. Suitable for advanced undergraduate and graduate students, this book provides a practical understanding of how the models are used in current natural science and engineering applications. Along with a variety of exercises and solved examples, the text presents all the fundamental concepts and mathematical skills needed to build models and perform analyses.
Physiological and Clinical Aspects of Short-Chain Fatty Acids
This is the first comprehensive volume to look at the importance of short-chain fatty acids in digestion, the function of the large intestine and their role in human health. Short-chain fatty acids are the major product of bacterial fermentation of dietary carbohydrates in the human and animal large intestine. They represent the major end products of digestive processes occurring in the caecum and large intestine. As such, they form an important dietary component and it is increasingly recognised that they may have a significant role in protecting against large bowel cancer and in metabolism. Prepared by an international team of contributors who are at the forefront of this area of research, this volume will be an essential source of reference for gastroenterologists, nutritionists and others active in this area.
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Müller cells make up just 0.005% of the cells in our central nervous system. They do not belong to the more esteemed family of neuronal cells but to the glia, a family of cells that until recently were seen as mere filling material between the neurons. Now, however, all that has changed. Sharing the insights of more than a quarter century of research into Müller cells, Drs. Andreas Reichenbach and Andreas Bringmann of Leipzig University make a compelling case for the central role Müller cells play. Everyone agrees that the eye is a very special and versatile sense organ, yet it has turned out in recent years that Müller cells are peculiar and multipotent glial cells. In the retina of mos...
Advanced Mathematical Methods in Biosciences and Applications
Featuring contributions from experts in mathematical biology and biomedical research, this edited volume covers a diverse set of topics on mathematical methods and applications in the biosciences. Topics focus on advanced mathematical methods, with chapters on the mathematical analysis of the quasispecies model, Arnold’s weak resonance equation, bifurcation analysis, and the Tonnelier-Gerstner model. Special emphasis is placed on applications such as natural selection, population heterogeneity, polyvariant ontogeny in plants, cancer dynamics, and analytical solutions for traveling pulses and wave trains in neural models. A survey on quasiperiodic topology is also presented in this book. Carefully peer-reviewed, this volume is suitable for students interested in interdisciplinary research. Researchers in applied mathematics and the biosciences will find this book an important resource on the latest developments in the field. In keeping with the STEAM-H series, the editors hope to inspire interdisciplinary understanding and collaboration.
Mathematics in Engineering Sciences
This book includes research studies, novel theory, as well as new methodology and applications in mathematics and management sciences. The book will provide a comprehensive range of mathematics applied to engineering areas for different tasks. It will offer an international perspective and a bridge between classical theory and new methodology in many areas, along with real-life applications. Features Offers solutions to multi-objective transportation problem under cost reliability using utility function Presents optimization techniques to support eco-efficiency assessment in manufacturing processes Covers distance-based function approach for optimal design of engineering processes with multiple quality characteristics Provides discrete time sliding mode control for non-linear networked control systems Discusses second law of thermodynamics as instruments for optimizing fluid dynamic systems and aerodynamic systems
The Role of Lymphocytes and Macrophages in the Immunological Response
This volume contains papers presented at a symposium on "The Role of Lympho cytes and Macrophages in the Immunological Response" at the XIII International Congress of Haematology, Munich, August 1970. This symposium was designed to highlight current work submitted to the Haemato logy Congress which related to the role of cellular cooperation in induction and expression of the immune response. The symposium was divided into two parts. The morning session consisted of invited papers dealing with various general aspects of the field (papers 1 to 5) which were relevant to the afternoon session, which con sisted of free communications submitted to the Congress. In the discussion it was emphasized...
Elliptic Partial Differential Equations
If we had to formulate in one sentence what this book is about, it might be "How partial differential equations can help to understand heat explosion, tumor growth or evolution of biological species". These and many other applications are described by reaction-diffusion equations. The theory of reaction-diffusion equations appeared in the first half of the last century. In the present time, it is widely used in population dynamics, chemical physics, biomedical modelling. The purpose of this book is to present the mathematical theory of reaction-diffusion equations in the context of their numerous applications. We will go from the general mathematical theory to specific equations and then to their applications. Existence, stability and bifurcations of solutions will be studied for bounded domains and in the case of travelling waves. The classical theory of reaction-diffusion equations and new topics such as nonlocal equations and multi-scale models in biology will be considered.
