Advances In Mathematical Population Dynamics -- Molecules, Cells And Man - Proceedings Of The 4th International Conference On Mathematical Population Dynamics


Book Description

This is a collection of refereed papers presented at the 4th International Conference on Mathematical Population Dynamics. The selection of papers and their organization were made by the following persons: O Arino, D Axelrod, V Capasso, W Fitzgibbon, P Jagers, M Kimmel, D Kirschner, C Mode, B Novak, R Sachs, W Stephan, A Swierniak and H Thieme.It features some of the new trends in cell and human population dynamics. The main link between the two traits is that human populations of concern here are essentially those subject to cell diseases, either the processes of anarchic proliferation or those by which some cell lines are killed by an infectious agent.The volume is divided into 3 main parts. Each part is subdivided into chapters, each chapter concentrating on a specific aspect. Each aspect is illustrated by one or several examples, developed in sections contributed by several authors. A detailed introduction for each part will enable the reader to refer to chapters of interest. An index and a bibliography for each part is also included for easy reference.This book will be useful for those interested in the subject matter.




Advances In Bioinformatics And Its Applications - Proceedings Of The International Conference


Book Description

This unique volume presents major developments and trends in bioinformatics and its applications. Comprising high-quality scientific research papers and state-of-the-art survey articles, the book has been divided into five main sections: Microarray Analysis and Regulatory Networks; Machine Learning and Statistical Analysis; Biomolecular Sequence and Structure Analysis; Symmetry in Sequences; and Signal Processing, Image Processing and Visualization. The results of these investigations help the practicing biologist in many ways: in identifying unknown connections, in narrowing down possibilities for a search, in suggesting new hypotheses, designing new experiments, validating existing models or proposing new ones. It is an essential source of reference for researchers and graduate students in bioinformatics, computer science, mathematics, statistics, and biological sciences based on select papers from the “The International Conference on Bioinformatics and Its Application” (ICBA), held December 16-19, 2004 in Fort Lauderdale, Florida, USA.




Spatial Ecology via Reaction-Diffusion Equations


Book Description

Many ecological phenomena may be modelled using apparently random processes involving space (and possibly time). Such phenomena are classified as spatial in their nature and include all aspects of pollution. This book addresses the problem of modelling spatial effects in ecology and population dynamics using reaction-diffusion models. * Rapidly expanding area of research for biologists and applied mathematicians * Provides a unified and coherent account of methods developed to study spatial ecology via reaction-diffusion models * Provides the reader with the tools needed to construct and interpret models * Offers specific applications of both the models and the methods * Authors have played a dominant role in the field for years Essential reading for graduate students and researchers working with spatial modelling from mathematics, statistics, ecology, geography and biology.




Towards a Mathematical Theory of Complex Biological Systems


Book Description

This monograph has the ambitious aim of developing a mathematical theory of complex biological systems with special attention to the phenomena of ageing, degeneration and repair of biological tissues under individual self-repair actions that may have good potential in medical therapy.The approach to mathematically modeling biological systems needs to tackle the additional difficulties generated by the peculiarities of living matter. These include the lack of invariance principles, abilities to express strategies for individual fitness, heterogeneous behaviors, competition up to proliferative and/or destructive actions, mutations, learning ability, evolution and many others. Applied mathematicians in the field of living systems, especially biological systems, will appreciate the special class of integro-differential equations offered here for modeling at the molecular, cellular and tissue scales. A unique perspective is also presented with a number of case studies in biological modeling.




Towards A Mathematical Theory Of Complex Biological Systems


Book Description

This monograph has the ambitious aim of developing a mathematical theory of complex biological systems with special attention to the phenomena of ageing, degeneration and repair of biological tissues under individual self-repair actions that may have good potential in medical therapy.The approach to mathematically modeling biological systems needs to tackle the additional difficulties generated by the peculiarities of living matter. These include the lack of invariance principles, abilities to express strategies for individual fitness, heterogeneous behaviors, competition up to proliferative and/or destructive actions, mutations, learning ability, evolution and many others.Applied mathematicians in the field of living systems, especially biological systems, will appreciate the special class of integro-differential equations offered here for modeling at the molecular, cellular and tissue scales. A unique perspective is also presented with a number of case studies in biological modeling.




Mathematical Models for Communicable Diseases


Book Description

A self-contained and comprehensive guide to the mathematical modeling of disease transmission, appropriate for graduate students.




Hierarchical Genome And Differentiation Waves, The: Novel Unification Of Development, Genetics And Evolution (In 2 Volumes)


Book Description

Over the past few decades numerous scientists have called for a unification of the fields of embryo development, genetics, and evolution. Each field has glaring holes in its ability to explain the fundamental phenomena of life. In this book, the author shows how the phenomenon of cell differentiation, considered in its temporal and spatial aspects during embryogenesis, provides a starting point for a unified theory of multicellular organisms (plants, fungi and animals), including their evolution and genetics. This unification is based on the recent discovery of differentiation waves by the author and his colleagues, described in the appendices, and illustrated by a flip movie prepared by a medical artist. To help the reader through the many fields covered, a glossary is included.This book will be of great value to the researcher and practicing doctors/scientists alike. The research students will receive an in-depth tutorial on the topics covered. The seasoned researcher will appreciate the applications and the gold mine of other possibilities for novel research topics.




Symmetry In Plants


Book Description

The book deals with biological, mathematical, descriptive, causal and systemic phyllotaxis. It aims at reflecting the widest possible range of ideas and research closely related to phyllotaxis and contains 30 well illustrated chapters.The book has three parts of equal importance. The first two parts concern data collecting, pattern recognition and pattern generation to which students of phyllotaxis are well accustomed. The third part is devoted to the problem of origins of phyllotactic patterns, giving the field of phyllotaxis the universality it requires to be fully understood.Phyllotaxis-like patterns are found in places where genes are not necessarily present. Part III concerns general comparative morphology, homologies with phyllotactic patterns, and recent trends on evolution that can help to understand phyllotaxis.The distinguished researchers who accepted to participate in the production of this book, strongly contributed to the field of phyllotaxis in the past and have devoted a lot of their time to the fascinating subject coming up with most valuable findings, or are newcomers with original ideas that may be very relevant for the future of the field. The book summarizes and updates their contributions, and promotes new avenues in the treatment of phyllotaxis.This book on mathematical and biological phyllotaxis is the first collective book ever. A landmark in the history of phyllotaxis.




Neuronal Information Processing, From Biological Data To Modelling And Application


Book Description

Recent developments in the neurosciences have considerably modified our knowledge of both the operating modes of neurons and information processing in the cortex. Multi-unit recordings have enabled temporal correlations to be detected, within temporal windows of the order of 1ms. Oscillations corresponding to a quasi-periodic spike-giving, synchronized over several visual cortical areas, have been observed in anaesthesized cats and monkeys. Recent studies have also focused on the role played by the dendritic arborization.These developments have led to considerable interest in a coding scheme which relies on precise spatio-temporal patterns from both the theoretical and experimental points of view. This prompts us to look into new models for information processing which will proceed, for example, from a synchronous detection of correlated spike giving, and is particularly robust against noise. Such models could bring about original technical applications for information processing and control.Further developments in this field may be of major importance for our understanding of the basic mechanisms of perception and cognition. They could also lead to new concepts in applications directed towards artificial perception and pattern recognition. Up to now, artificial systems for pattern recognition are far from reaching the standards of human vision. Systems based on a temporal coding by spikes may now be expected to bring about major improvements in this field.This book covers the lectures delivered at a summer school on neuronal information processing. It includes information on all the above-mentioned developments, and also provides the reader with the state-of-the-art in every relevant field, including the neurosciences, physics, mathematics, and information and control theory.