Download or read book Branching Processes Applied to Cell Surface Aggregation Phenomena written by Catherine A. Macken and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Branching Processes in Biology written by Marek Kimmel and published by Springer Science & Business Media. This book was released on 2006-05-26 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces biological examples of Branching Processes from molecular and cellular biology as well as from the fields of human evolution and medicine and discusses them in the context of the relevant mathematics. It provides a useful introduction to how the modeling can be done and for what types of problems branching processes can be used.
Download or read book Transient Processes in Cell Proliferation Kinetics written by Andrej Yu. Yakovlev and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematician who has taken the romantic decision to devote himself to biology will doubtlessly look upon cell kinetics as the most simple and natural field of application for his knowledge and skills. Indeed, the thesaurus he is to master is not so complicated as, say, in molecular biology, the structural elements of the system, i. e. ceils, have been segregated by Nature itself, simple considerations of balance may be used for deducing basic equations, and numerous analogies in other areas of science also superficial add to one"s confidence. Generally speaking, this number of impression is correct, as evidenced by the very great theoretical studies on population kinetics, unmatched in other branches of mathematical biology. This, however, does not mean that mathematical theory of cell systems has traversed in its development a pathway free of difficulties or errors. The seeming ease of formalizing the phenomena of cell kinetics not infrequently led to the appearance of mathematical models lacking in adequacy or effectiveness from the viewpoint of applications. As in any other domain of science, mathematical theory of cell systems has its own intrinsic logic of development which, however, depends in large measure on the progress in experimental biology. Thus, during a fairly long period running into decades activities in that sphere were centered on devising its own specific approaches necessitated by new objectives in the experimental in vivo and in vitro investigation of cell population kinetics in different tissues.
Download or read book Stochastic Processes Modeling and Simulation written by D N Shanbhag and published by Gulf Professional Publishing. This book was released on 2003-02-24 with total page 1028 pages. Available in PDF, EPUB and Kindle. Book excerpt: This sequel to volume 19 of Handbook on Statistics on Stochastic Processes: Modelling and Simulation is concerned mainly with the theme of reviewing and, in some cases, unifying with new ideas the different lines of research and developments in stochastic processes of applied flavour. This volume consists of 23 chapters addressing various topics in stochastic processes. These include, among others, those on manufacturing systems, random graphs, reliability, epidemic modelling, self-similar processes, empirical processes, time series models, extreme value therapy, applications of Markov chains, modelling with Monte Carlo techniques, and stochastic processes in subjects such as engineering, telecommunications, biology, astronomy and chemistry. particular with modelling, simulation techniques and numerical methods concerned with stochastic processes. The scope of the project involving this volume as well as volume 19 is already clarified in the preface of volume 19. The present volume completes the aim of the project and should serve as an aid to students, teachers, researchers and practitioners interested in applied stochastic processes.
Download or read book National Library of Medicine Current Catalog written by National Library of Medicine (U.S.) and published by . This book was released on with total page 1000 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Math and Bio 2010 written by Lynn Arthur Steen and published by MAA. This book was released on 2005 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Math and bio 2010 grew out of 'Meeting the Challenges: Education across the Biological, Mathematical and Computer Sciences,' a joint project of the Mathematical Association of America (MAA), the National Science Foundation Division of Undergraduate Education (NSF DUE), the National Institute of General Medical Sciences (NIGMS), the American Association for the Advancement of Science (AAAS), and the American Society for Microbiology (ASM)."--Foreword, p. vi
Download or read book Receptors written by Douglas A. Lauffenburger and published by Oxford University Press. This book was released on 1993-08-05 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Receptors: Models for Binding, Trafficking, and Signaling bridges the gap between chemical engineering and cell biology by lucidly and practically demonstrating how a mathematical modeling approach combined with quantitative experiments can provide enhanced understanding of cell phenomena involving receptor/ligand interactions. In stressing the need for a quantitative understanding of how receptor-mediated cell functions depend on receptor and ligand properties, the book offers comprehensive treatments of both basic and state-of-the-art model frameworks that span the entire spectrum of receptor processes--from fundamental cell surface binding, intracellular trafficking, and signal transduction events to the cell behavioral functions they govern, including proliferation, adhesion, and migration. The book emphasizes mechanistic models that are accessible to experimental testing and includes detailed examples of important contemporary issues. This much-needed book introduces chemical engineers and bioengineers to important problems in receptor biology and familiarizes cell biologists with the insights that can be gained from engineering analysis and synthesis. As such, chemical engineers, researchers, and advanced students in the fields of biotechnology, biomedical sciences, bioengineering, and molecular cell biology will find this book to be conceptually rich, timely, and useful.
Download or read book Cell Biology written by Byron Goldstein and published by American Mathematical Soc.. This book was released on 1994-01-01 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the techniques of modern molecular biology continue to revolutionize experimental design in cell biology, mathematical modeling and analysis become increasingly necessary and feasible. The papers in this collection expand on invited lectures presented at the Symposium on Some Mathematical Questions in Biology: Cell Biology, held in November 1992 in Denver, Colorado. The work reviewed in the papers demonstrates the power of combining mathematics and experiment to study a number of cell processes, including: protein transport in nerve axons, formation of transport vesicles at the Golgi, molecular motion in cell membranes, cell adhesion, T lymphocyte activation, and cellular responses to receptor aggregation. The volume is an important contribution to the literature, as it introduces mathematicians to a growing application area and cell biologists to new tools and results. The individual articles can be used as readings in a course on mathematical modeling.
Download or read book Patch Dynamics written by Simon A. Levin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the preface by Joel E. Cohen: "A century from now humanity will live in a managed - or mismanaged - global garden. We are debating the need to preserve tropical forests. Farming of the sea is providing an increasing part of our fish supply. We are beginning to control atmospheric emissions. In 100 years, we shall use novel farming practices and genetic engineering of bacteria to manipulate the methane production of rice fields. The continental shelf will be providing food, energy, possibly even living space. To make such intensive management possible will require massive improvements in data collection and analysis, and especially in our concepts. A century hence we will live on a wired earth: the oceans and the crust of the earth will receive the same comprehensive monitoring now devoted to weather. As the peoples of currently developing countries increase their levels of wealth, the need for global management will become irresistible as impatience with the accidents of nature and intolerance of mismanagement of the environment - especially of living resources - grow. Our control of physical perturbations and chemical inputs to the environment will be judged by the consequences to living organisms and biological communities. How can we obtain the factual and theoretical foundation needed to move from our present, fragmented knowledge and limited abilities to a managed, global garden?" This problem was addressed in the lectures and workshops of a summer school on patch dynamics at Cornell University. The school emphasized the analysis and interpretation of spatial patterns in terrestrial and marine environments. This book contains the course material of this school, combining general reviews with specific applications.
Download or read book Receptor Ligand Sorting Along the Endocytic Pathway written by Jennifer J. Linderman and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph focuses on a biomolecular separation process that occurs within most cells. Two types of molecules, receptors and ligands, are separated and routed along different intracellular pathways; this is a critical step in the process of receptor-mediated endocytosis. The development of an understanding of the basic mechanisms of this separation process is presented, with an emphasis on discovering the fundamental and measurable parameters that influence the event. Mathematical models of sorting are evaluated to predict the range of possible outcomes. These are compared with a variety of experimental data on different receptor/ligand systems. In addition, the influence of the separation on overall receptor/ligand processing dynamics is discussed. The book is intended for both biomathematicians and biologists. It is not necessary to understand the details of the model equations and their solution in order to test the models experimentally. The analysis suggests experiments that might be done to further investigate the sorting process and the text details methods for analyzing these experimental results.
Download or read book Current Catalog written by National Library of Medicine (U.S.) and published by . This book was released on with total page 1676 pages. Available in PDF, EPUB and Kindle. Book excerpt: First multi-year cumulation covers six years: 1965-70.
Download or read book Cell Kinetic Modelling and the Chemotherapy of Cancer written by Helmut Knolle and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last 30 years, many chemical compounds that are active against tumors have been discovered or developed. At the same time, new methods of testing drugs for cancer therapy have evolved. nefore 1964, drug testing on animal tumors was directed to observation of the incfease in life span of the host after a single dose. A new approach, in which the effects of multiple doses on the proliferation kinetics of the tumor in vivo as well as of cell lines in vitro are investigated, has been outlined by Skipper and his co-workers in a series of papers beginning in 1964 (Skipper, Schabel and Wilcox, 1964 and 1965). They also investigated the influence of the time schedule in the treatment of experimental tumors. Since the publication of those studies, cell population kinetics cannot be left out of any discussion of the rational basis of chemotherapy. When clinical oncologists began to apply cell kinetic concepts in practice about 15 years ago, the theoretical basis was still very poor, in spite of Skipper's progress, and the lack of re levant cytokinetic and pharmacologic data was apparent. Subsequently, much theoretical work has been done and many cell kinetic models have been elaborated (for a review see Eisen, 1977).
Download or read book Acanthaster and the Coral Reef A Theoretical Perspective written by Roger H. Bradbury and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: In August 1988. the Sixth International Coral Reef Symposium was held in Townsville resulting in an influx of most of the world's coral reef sCientists to the city. We seized this opportunity at the Australian Institute of Marine Science to run a small workshop immediately before the symposium on the outbreaks of the crown-of-thorns starfish. Aeanthaster planei. We invited that small band of mathematicians who had been modelling the phenomenon, (and who may not have normally attended an international meeting so thoroughly dedicated to natural science) to meet with those SCientists who had been been actively working on the phenomenon in the field. John Casti notes in his delightful new book Alternate Realities (Wiley, 1989): 'If the natural role of the experimenter is to generate new observables by which we know the processes of Nature, and the natural role of the mathematician is to generate new formal structures by which we can represent these processes. then the system SCientist finds his niche by serving as a broker between the two. ' I think our book shows the fruits of that brokerage through the wide range of models explored within its pages. the high level of collaboration and interaction across disciplines evident in the individual papers, and in the emerging synthesis that reflects a far deeper understanding of this complex phenomenon than was possible even a few years ago.
Download or read book Mathematical Models in Developmental Biology written by Jerome K. Percus and published by American Mathematical Soc.. This book was released on 2015-06-19 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: The path from relatively unstructured egg to full organism is one of the most fascinating trajectories in the biological sciences. Its complexity calls for a very high level of organization, with an array of subprocesses in constant communication with each other. These notes introduce an interleaved set of mathematical models representative of research in the last few decades, as well as the techniques that have been developed for their solution. Such models offer an effective way of incorporating reliable data in a concise form, provide an approach complementary to the techniques of molecular biology, and help to inform and direct future research. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.
Download or read book Theory And Control Of Dynamical Systems Applications To Systems In Biology written by Stig I Andersson and published by World Scientific. This book was released on 1992-05-26 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the mathematical modeling of complex system behavior, dynamical systems play an increasing role. The flexibility and very rich phenomenology exhibited by such systems make them indispensible in this context. Control theory for dynamical systems is also a highly active field of research where a number of important results have been achieved recently.This combined course and workshop deals with recent results regarding dynamical systems and control theory, primarily in differential geometric terms as well as the applications of these fields to biological systems, with an emphasis on various aspects of the immune system and on neural networks.
Download or read book Trees and Hierarchical Structures written by Andreas Dress and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: The "raison d'etre" of hierarchical dustering theory stems from one basic phe nomenon: This is the notorious non-transitivity of similarity relations. In spite of the fact that very often two objects may be quite similar to a third without being that similar to each other, one still wants to dassify objects according to their similarity. This should be achieved by grouping them into a hierarchy of non-overlapping dusters such that any two objects in ~ne duster appear to be more related to each other than they are to objects outside this duster. In everyday life, as well as in essentially every field of scientific investigation, there is an urge to reduce complexity by recognizing and establishing reasonable das sification schemes. Unfortunately, this is counterbalanced by the experience of seemingly unavoidable deadlocks caused by the existence of sequences of objects, each comparatively similar to the next, but the last rather different from the first.
Download or read book Theoretical Immunology Part Two written by Alan S. Perelson and published by CRC Press. This book was released on 2018-02-19 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming that the complex phenomena underlying the operation of the immune system may be better understood through the collaborative efforts of theorists and experimentalists viewing the same phenomena in different ways, the Sante Fe Institute and the Theoretical Division of Los Alamos National Laboratory cosponsored a workshop entitled "Theoretical Immunology." The workshop focused on themes spanning the field of immunology, with emphasis on areas where the theorists have made the most progress. This book covers the discussions a that workshop on the topics of immune surveillance, mathematical models of HIV infection, complexities of antigen-antibody systems, immune suppression and tolerance, and idiotypie networks. In each of these areas there is reason to believe that advances can be made either through interactions among experimentalists and theorists or through the critical look experimentalists and theorists will bring to bear upon one another's work.
