Download or read book Diffusion limited Reactions in Crowded Environments written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Diffusion-limited reactions are usually described within the Smoluchowski theory, which neglects interparticle interactions. We propose a simple way to incorporate excluded-volume effects building on simulations of hard sphere in the presence of a sink. For large values of the sink-to-particle size ratio Rs, the measured encounter rate is in good agreement with a simple generalization of the Smoluchowski equation at high densities. Reducing Rs, the encounter rate is substantially depressed and becomes even nonmonotonic for Rs≪1. Concurrently with the saturation of the rate, stationary density waves set in close to the sink. A mean-field analysis helps to shed light on the subtle link between such ordering and the slowing down of the encounter dynamics. Finally, we show how an infinitesimal amount of nonreacting impurities can equally slow down dramatically the reaction.
Download or read book Diffusion reaction Processes in Complex and Crowded Environments written by Marta Galanti and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Diffusion Limited Reactions in Poorly Mixed Environments written by Daniel Reeves and published by . This book was released on 2010 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Issues in General Physics Research 2011 Edition written by and published by ScholarlyEditions. This book was released on 2012-01-09 with total page 8864 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in General Physics Research / 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about General Physics Research. The editors have built Issues in General Physics Research: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about General Physics Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in General Physics Research: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
Download or read book Diffusion limited Reactions written by Stephen A. Rice and published by . This book was released on 1985 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teil 2
Download or read book Biological Clocks Rhythms and Oscillations written by Daniel B. Forger and published by MIT Press. This book was released on 2024-08-06 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the mathematical, computational, and analytical techniques used for modeling biological rhythms, presenting tools from many disciplines and example applications. All areas of biology and medicine contain rhythms, and these behaviors are best understood through mathematical tools and techniques. This book offers a survey of mathematical, computational, and analytical techniques used for modeling biological rhythms, gathering these methods for the first time in one volume. Drawing on material from such disciplines as mathematical biology, nonlinear dynamics, physics, statistics, and engineering, it presents practical advice and techniques for studying biological rhythms, with a common language. The chapters proceed with increasing mathematical abstraction. Part I, on models, highlights the implicit assumptions and common pitfalls of modeling, and is accessible to readers with basic knowledge of differential equations and linear algebra. Part II, on behaviors, focuses on simpler models, describing common properties of biological rhythms that range from the firing properties of squid giant axon to human circadian rhythms. Part III, on mathematical techniques, guides readers who have specific models or goals in mind. Sections on “frontiers” present the latest research; “theory” sections present interesting mathematical results using more accessible approaches than can be found elsewhere. Each chapter offers exercises. Commented MATLAB code is provided to help readers get practical experience. The book, by an expert in the field, can be used as a textbook for undergraduate courses in mathematical biology or graduate courses in modeling biological rhythms and as a reference for researchers.
Download or read book Chemical Kinetics Beyond The Textbook written by Lindenberg Katja and published by World Scientific. This book was released on 2019-08-27 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Processes involving randomly moving particles, which react either upon encounter or via distance-dependent reaction rates, are ubiquitous in nature. A few stray examples are recombination of ions or holes and electrons, excitation energy migration and quenching, trapping of particles by other species, coagulation, binding of ligands and proteins to specific sites, chemotaxis, catalytically-induced self-propulsion, polymerization, growth of dendrites or aggregates, or nuclei of a new phase.Several decades ago, it was recognized that the kinetic behavior in some systems with reactions and random transport is strongly affected by many factors, which were not taken into account in previous studies. These are, to name but a few, fluctuations in the spatial distributions of the reactants and fluctuations of the reactivity, some essentially many-particle phenomena, effects of anomalous diffusion, molecular crowding, as well as the internal geometry of the reaction bath. Within recent years, along with a growing interest in chemical processes ocurring in biological systems or cellular environments, numerous advances have been made and considerable knowledge has been acquired. These seminal contributions are, however, scattered among many journals and no attempt has been made so far to present a unified picture.This book presents a general overview of different contemporary facets of chemical kinetics in a variety of different environments. It includes 23 seminal works and reviews on different aspects of reaction processes in chemical, physical and biophysical systems, both theoretical and experimental.
Download or read book Cell Cycle Control written by Anna Castro and published by Springer Nature. This book was released on with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Tissue Engineering and Artificial Organs written by Joseph D. Bronzino and published by CRC Press. This book was released on 2006-05-01 with total page 1328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last century, medicine has come out of the "black bag" and emerged as one of the most dynamic and advanced fields of development in science and technology. Today, biomedical engineering plays a critical role in patient diagnosis, care, and rehabilitation. As such, the field encompasses a wide range of disciplines, from biology and physiology to material science and nanotechnology. Reflecting the enormous growth and change in biomedical engineering during the infancy of the 21st century, The Biomedical Engineering Handbook enters its third edition as a set of three carefully focused and conveniently organized books. Reviewing applications at the leading edge of modern biomedical engineering, Tissue Engineering and Artificial Organs explores transport phenomena, biomimetics systems, biotechnology, prostheses, artificial organs, and ethical issues. The book features approximately 90% new material in the tissue engineering section, integrates coverage of life sciences with a new section on molecular biology, and includes a new section on bionanotechnology. Prominent leaders from around the world share their expertise in their respective fields with many new and updated chapters. New technologies and methods spawned by biomedical engineering have the potential to improve the quality of life for everyone, and Tissue Engineering and Artificial Organs sheds light on the tools that will enable these advances.
Download or read book Tissue Engineering written by John P. Fisher and published by CRC Press. This book was released on 2007-05-30 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: Increasingly viewed as the future of medicine, the field of tissue engineering is still in its infancy. As evidenced in both the scientific and popular press, there exists considerable excitement surrounding the strategy of regenerative medicine. To achieve its highest potential, a series of technological advances must be made. Putting the numerous
Download or read book New Models of the Cell Nucleus Crowding Entropic Forces Phase Separation and Fractals written by Ronald Hancock and published by Academic Press. This book was released on 2013-12-27 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Review of Cell and Molecular Biology presents current advances and comprehensive reviews in cell biology--both plant and animal. Articles address structure and control of gene expression, nucleocytoplasmic interactions, control of cell development and differentiation, and cell transformation and growth. Impact factor for 2012: 4.973. Ideas from the fields of biophysics, physical chemistry, of polymer and colloid, and soft matter science have helped clarify the structure and functions of the cell nucleus. The development of powerful methods for modeling conformations and interactions of macromolecules has also contributed. The book aims to encourage cell and molecular biologists to become more familiar with and understand these new concepts and methods, and the crucial contributions they are making to our perception of the nucleus. This is the first volume to present a comprehensive review of New Models of the Cell Nucleus
Download or read book Physical Biology of the Cell written by Rob Phillips and published by Garland Science. This book was released on 2012-10-29 with total page 1089 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physical Biology of the Cell is a textbook for a first course in physical biology or biophysics for undergraduate or graduate students. It maps the huge and complex landscape of cell and molecular biology from the distinct perspective of physical biology. As a key organizing principle, the proximity of topics is based on the physical concepts that
Download or read book New Frontiers in Nanochemistry Concepts Theories and Trends written by Mihai Putz and published by CRC Press. This book was released on 2020-05-10 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: New Frontiers in Nanochemistry: Concepts, Theories, and Trends, Volume 1: Structural Nanochemistry is the first volume of the new three-volume set that explains and explores the important concepts from various areas within the nanosciences. This first volume focuses on structural nanochemistry and encompasses the general fundamental aspects of nanochemistry while simultaneously incorporating crucial material from other fields, in particular mathematic and natural sciences, with specific attention to multidisciplinary chemistry. Under the broad expertise of the editor, the volume contains 50 concise yet comprehensive entries from world-renowned scholars, alphabetically organizing a multitude of essential basic and advanced concepts, ranging from algebraic chemistry to new energy technology, from the bondonic theory of chemistry to spintronics, and from fractal dimension and kinetics to quantum dots and tight binding—and much more. The entries contain definitions, short characterizations, uses and usefulness, limitations, references, and more.
Download or read book New Frontiers in Nanochemistry Concepts Theories and Trends 3 Volume Set written by Mihai V. Putz and published by CRC Press. This book was released on 2022-05-30 with total page 1479 pages. Available in PDF, EPUB and Kindle. Book excerpt: New Frontiers in Nanochemistry: Concepts, Theories, and Trends, 3-Volume Set explains and explores the important fundamental and advanced modern concepts from various areas of nanochemistry and, more broadly, the nanosciences. This innovative and one-of-a kind set consists of three volumes that focus on structural nanochemistry, topological nanochemistry, and sustainable nanochemistry respectively, collectively forming an explicative handbook in nanochemistry. The compilation provides a rich resource that is both thorough and accessible, encompassing the core concepts of multiple areas of nanochemistry. It also explores the content through a trans-disciplinary lens, integrating the basic and advanced modern concepts in nanochemistry with various examples, applications, issues, tools, algorithms, and even historical notes on the important people from physical, quantum, theoretical, mathematical, and even biological chemistry.
Download or read book Collective Dynamics from Bacteria to Crowds written by Adrian Muntean and published by Springer Science & Business Media. This book was released on 2014-03-18 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiscale models in social applications combine mean-field and kinetic equations with either microscopic or macroscopic level descriptions. In this book the reader will find not only a wide spectrum of multiscale analysis results (like convergence proofs), but also practically important information such as derivations of mean-field equations, methods to handle hard contacts numerically, to model group behavior, to quantitative estimate microscopic/macroscopic segregation of competing species, to quantitative understand the limits of validity of mass-action kinetics for simple reactions.
Download or read book The Metabolic Pathway Engineering Handbook written by Christina Smolke and published by CRC Press. This book was released on 2009-07-28 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume of the Metabolic Pathway Engineering Handbook delves into evolutionary tools and gene expression tools for metabolic pathway engineering. It covers applications of emerging technologies including recent research genome-wide technologies, DNA and phenotypic microarrays, and proteomics tools for experimentally determining flux thro
Download or read book Stochastic Processes Multiscale Modeling and Numerical Methods for Computational Cellular Biology written by David Holcman and published by Springer. This book was released on 2017-10-04 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the modeling and mathematical analysis of stochastic dynamical systems along with their simulations. The collected chapters will review fundamental and current topics and approaches to dynamical systems in cellular biology. This text aims to develop improved mathematical and computational methods with which to study biological processes. At the scale of a single cell, stochasticity becomes important due to low copy numbers of biological molecules, such as mRNA and proteins that take part in biochemical reactions driving cellular processes. When trying to describe such biological processes, the traditional deterministic models are often inadequate, precisely because of these low copy numbers. This book presents stochastic models, which are necessary to account for small particle numbers and extrinsic noise sources. The complexity of these models depend upon whether the biochemical reactions are diffusion-limited or reaction-limited. In the former case, one needs to adopt the framework of stochastic reaction-diffusion models, while in the latter, one can describe the processes by adopting the framework of Markov jump processes and stochastic differential equations. Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology will appeal to graduate students and researchers in the fields of applied mathematics, biophysics, and cellular biology.
