The book presents short papers of participants of the 8th International Scientific Conference-School for Young Scientists "Physical and Mathematical Modeling of Earth and Environment Processes" (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences). The book includes theoretical and experimental studies of processes in the atmosphere, oceans, the lithosphere and their interaction; environmental issues; problems of human impact on the environment; methods of geophysical research.

With the availability of high speed computers and advances in computational techniques, the application of mathematical modeling to biological systems is expanding. This comprehensive and richly illustrated volume provides up-to-date, wide-ranging material on the mathematical modeling of kidney physiology, including clinical data analysis and practice exercises. Basic concepts and modeling techniques introduced in this volume can be applied to other areas (or organs) of physiology.

Graph theory is very much tied to the geometric properties of optimization and combinatorial optimization. Moreover, graph theory's geometric properties are at the core of many research interests in operations research and applied mathematics. Its techniques have been used in solving many classical problems including maximum flow problems, independent set problems, and the traveling salesman problem.

Reactive ?uids are present in many situations of great importance, such as in combustion chambers or around spacecraft re-entering the atmosphere. - alyzing the ?ow properties of such ?uids represents one of the most di?cult challenges to current technology. Indeed, all of the most di?cult aspects of ?uid mechanics appear to be grouped together in this research ?eld! Such ?uids are complex mixtures with compositions that vary rapidly in time and space. They are not usually at thermodynamic equilibrium, since the reaction times of the chemical reactions involved may not be negligible in comparison with the transit time of the ?uid. However, the author of this book limits its scope to typical phenomena that are not very far from local equilibrium but can nevertheless exhibit the most important types of irreversible processes. The production of entropy is highly dependent on the chemical reactionpa- way, which is di?cult to simplify. Also, most of the classical problems that characterize?uid mechanics—such as turbulence, the presence of thin bou- ary layers or shear layers, and the propagation of acoustic waves and shock waves—are also present, and are much more di?cult to analyze and describe than they are for homogeneous?uids, because reactive mixtures interact with these phenomena. For example, density is highly dependent on the chemical pathway since it is determined by the local and instantaneous production of chemical species, and so its value a?ects many other quantities through the equation of state and the balances of mass, momentum, and energy.

This book contains a collection of papers that were presented at the IUTAM Symposium
on “Computer Models in Biomechanics: From Nano to Macro” held at Stanford University, California, USA, from August 29 to September 2, 2011.

The book presents short papers of participants of the 8th International Scientific Conference-School for Young Scientists "Physical and Mathematical Modeling of Earth and Environment Processes" (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences). The book includes theoretical and experimental studies of processes in the atmosphere, oceans, the lithosphere and their interaction; environmental issues; problems of human impact on the environment; methods of geophysical research.

This edited volume is a collection of selected research articles discussing the analysis of infectious diseases by using mathematical modelling in recent times. Divided into two parts, the book gives a general and country-wise analysis of Covid-19. Analytical and numerical techniques for virus models are presented along with the application of mathematical modelling in the analysis of their spreading rates and treatments. The book also includes applications of fractional differential equations as well as ordinary, partial and integrodifferential equations with optimization methods. Probability distribution and their bio-mathematical applications have also been studied. This book is a valuable resource for researchers, scholars, biomathematicians and medical experts.

This book covers the most important issues in the theory of functional differential equations and their applications for both deterministic and stochastic cases. Among the subjects treated are qualitative theory, stability, periodic solutions, optimal control and estimation, the theory of linear equations, and basic principles of mathematical modelling. The work, which treats many concrete problems in detail, gives a good overview of the entire field and will serve as a stimulating guide to further research.

Because of its versatility in analyzing a broad range of applications, multibody dynamics has grown in the past two decades to be an important tool for designing, prototyping, and simulating complex articulated mechanical systems. This textbook brings together diverse concepts and bridges the gap between dynamics and engineering applications such as microrobotics, virtual reality simulation of interactive mechanical systems, nanomechanics, flexible biosystems, crash simulation, and biomechanics.

The 2nd edition of this book provides novel topics and studyies in boundaries of networks and Big Data Systems.The central theme of this book is the extent to which the structure of the free dynamical boundaries of a system controls the evolution of the system as a whole. Applying three orthogonal types of thinking - mathematical, constructivist and morphological, it illustrates these concepts using applications to selected problems from the social and life sciences, as well as economics.
In a broader context, it introduces and reviews some modern mathematical approaches to the science of complex systems.

Unsichtbar und zugleich omnipräsent, erobern sich Computermodelle ständig neue Anwendungsfelder. Ihre Macht verdanken sie den immensen Kapazitäten moderner Rechnersysteme, und sie wird zusätzlich befeuert durch das maschinelle Lernen aus riesigen Datenbergen.