Branching Processes Applied To Cell Surface Aggregation Phenomena
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Branching Processes Applied To Cell Surface Aggregation Phenomena
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Author : Catherine A. Macken
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Branching Processes Applied To Cell Surface Aggregation Phenomena written by Catherine A. Macken and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
Branching Processes In Biology
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Author : Marek Kimmel
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-05-26
Branching Processes In Biology written by Marek Kimmel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-26 with Mathematics categories.
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.
Transient Processes In Cell Proliferation Kinetics
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Author : Andrej Yu. Yakovlev
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-08
Transient Processes In Cell Proliferation Kinetics written by Andrej Yu. Yakovlev and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-08 with Mathematics categories.
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.
Stochastic Processes Modeling And Simulation
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Author : D N Shanbhag
language : en
Publisher: Gulf Professional Publishing
Release Date : 2003-02-24
Stochastic Processes Modeling And Simulation written by D N Shanbhag and has been published by Gulf Professional Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-02-24 with Mathematics categories.
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.
Math And Bio 2010
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Author : Lynn Arthur Steen
language : en
Publisher: MAA
Release Date : 2005
Math And Bio 2010 written by Lynn Arthur Steen and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
"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
Receptors
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Author : Douglas A. Lauffenburger
language : en
Publisher: Oxford University Press
Release Date : 1993-08-05
Receptors written by Douglas A. Lauffenburger and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-08-05 with Technology & Engineering categories.
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.
Cell Biology
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Author : Byron Goldstein
language : en
Publisher: American Mathematical Soc.
Release Date : 1994-01-01
Cell Biology written by Byron Goldstein and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Science categories.
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.
Patch Dynamics
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Author : Simon A. Levin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Patch Dynamics written by Simon A. Levin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
Receptor Ligand Sorting Along The Endocytic Pathway
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Author : Jennifer J. Linderman
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-08
Receptor Ligand Sorting Along The Endocytic Pathway written by Jennifer J. Linderman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-08 with Mathematics categories.
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.
Cell Kinetic Modelling And The Chemotherapy Of Cancer
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Author : Helmut Knolle
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-08
Cell Kinetic Modelling And The Chemotherapy Of Cancer written by Helmut Knolle and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-08 with Medical categories.
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).
