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Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology
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 th...
Stochastic Narrow Escape in Molecular and Cellular Biology
This book covers recent developments in the non-standard asymptotics of the mathematical narrow escape problem in stochastic theory, as well as applications of the narrow escape problem in cell biology. The first part of the book concentrates on mathematical methods, including advanced asymptotic methods in partial equations, and is aimed primarily at applied mathematicians and theoretical physicists who are interested in biological applications. The second part of the book is intended for computational biologists, theoretical chemists, biochemists, biophysicists, and physiologists. It includes a summary of output formulas from the mathematical portion of the book and concentrates on their a...
Asymptotics of Elliptic and Parabolic PDEs
This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences. In more detail, the book presents the analytic methods and tools for approximating solutions of mixed boundary value problems, with particular emphasis on the narrow escape problem. Informed throughout by real-world applications, the book includes topics such as the Fokker-Planck equation, boundary layer analysis, WKB approximation, applications of spectral theory, as well as recent results in narrow escape theory. Numerical and stochastic aspects, including mean first passage time and extreme statistics, are discussed in detail and relevant applications are presented in parallel with the theory. Including background on the classical asymptotic theory of differential equations, this book is written for scientists of various backgrounds interested in deriving solutions to real-world problems from first principles.
Michigan Ensian
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Chromosome Architecture
This detailed new edition collects cutting-edge laboratory protocols, techniques, and applications in use by some of the leading international experts in the broad field of chromosome architecture. The book emphasizes the increasing physiological relevance of chromosome architecture investigation, manifest both through application of more complex bottom-up assays in vitro as well as through maintaining the native physiological context through the investigation of living, functional cells. In addition, the chapters reflect the dramatic improvement in the length scale of precision by utilizing single-molecule approaches, both for imaging the DNA content of chromosome and proteins that bind to ...
Interdisciplinary Research and Applications in Bioinformatics, Computational Biology, and Environmental Sciences
"This book presents cutting-edge research in the field of computational and systems biology, presenting studies ranging from the atomic/molecular level to the genomic level and covering a wide spectrum of important biological problems and applications"--Provided by publisher.
Computational Techniques in Neuroscience
The text discusses the techniques of deep learning and machine learning in the field of neuroscience, engineering approaches to study the brain structure and dynamics, convolutional networks for fast, energy-efficient neuromorphic computing, and reinforcement learning in feedback control. It showcases case studies in neural data analysis. Features: Focuses on neuron modeling, development, and direction of neural circuits to explain perception, behavior, and biologically inspired intelligent agents for decision making Showcases important aspects such as human behavior prediction using smart technologies and understanding the modeling of nervous systems Discusses nature-inspired algorithms suc...
Structural and Functional Organization of the Synapse
This new Springer volume, which comes complete with a free DVD, is a comprehensive and detailed overview of the synapse with emphasis on the glutamatergic synapse. Most chapters relate the synapse’s functional aspects to its molecular mechanisms. This approach shows which mechanisms are characterized on both the functional and structural level and can thus be considered firmly established. It’s an important text for neuroscientists and disease-oriented clinicians in neurology.
Computational Biology for Stem Cell Research
Computational Biology for Stem Cell Research is an invaluable guide for researchers as they explore HSCs and MSCs in computational biology. With the growing advancement of technology in the field of biomedical sciences, computational approaches have reduced the financial and experimental burden of the experimental process. In the shortest span, it has established itself as an integral component of any biological research activity. HSC informatics (in silico) techniques such as machine learning, genome network analysis, data mining, complex genome structures, docking, system biology, mathematical modeling, programming (R, Python, Perl, etc.) help to analyze, visualize, network constructions, ...
