Introduction To Modeling Biological Cellular Control Systems
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Introduction To Modeling Biological Cellular Control Systems
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Author : Weijiu Liu
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-26
Introduction To Modeling Biological Cellular Control Systems written by Weijiu Liu 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 2012-04-26 with Mathematics categories.
This textbook contains the essential knowledge in modeling, simulation, analysis, and applications in dealing with biological cellular control systems. In particular, the book shows how to use the law of mass balance and the law of mass action to derive an enzyme kinetic model - the Michaelis-Menten function or the Hill function, how to use a current-voltage relation, Nernst potential equilibrium equation, and Hodgkin and Huxley's models to model an ionic channel or pump, and how to use the law of mass balance to integrate these enzyme or channel models into a complete feedback control system. The book also illustrates how to use data to estimate parameters in a model, how to use MATLAB to solve a model numerically, how to do computer simulations, and how to provide model predictions. Furthermore, the book demonstrates how to conduct a stability and sensitivity analysis on a model.
Mathematical Modeling In Systems Biology
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Author : Brian P. Ingalls
language : en
Publisher: MIT Press
Release Date : 2022-06-07
Mathematical Modeling In Systems Biology written by Brian P. Ingalls and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-07 with Science categories.
An introduction to the mathematical concepts and techniques needed for the construction and analysis of models in molecular systems biology. Systems techniques are integral to current research in molecular cell biology, and system-level investigations are often accompanied by mathematical models. These models serve as working hypotheses: they help us to understand and predict the behavior of complex systems. This book offers an introduction to mathematical concepts and techniques needed for the construction and interpretation of models in molecular systems biology. It is accessible to upper-level undergraduate or graduate students in life science or engineering who have some familiarity with calculus, and will be a useful reference for researchers at all levels. The first four chapters cover the basics of mathematical modeling in molecular systems biology. The last four chapters address specific biological domains, treating modeling of metabolic networks, of signal transduction pathways, of gene regulatory networks, and of electrophysiology and neuronal action potentials. Chapters 3–8 end with optional sections that address more specialized modeling topics. Exercises, solvable with pen-and-paper calculations, appear throughout the text to encourage interaction with the mathematical techniques. More involved end-of-chapter problem sets require computational software. Appendixes provide a review of basic concepts of molecular biology, additional mathematical background material, and tutorials for two computational software packages (XPPAUT and MATLAB) that can be used for model simulation and analysis.
Systems Biology
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Author : Jinzhi Lei
language : en
Publisher: Springer Nature
Release Date : 2021-05-13
Systems Biology written by Jinzhi Lei and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-13 with Mathematics categories.
This book discusses the mathematical simulation of biological systems, with a focus on the modeling of gene expression, gene regulatory networks and stem cell regeneration. The diffusion of morphogens is addressed by introducing various reaction-diffusion equations based on different hypotheses concerning the process of morphogen gradient formation. The robustness of steady-state gradients is also covered through boundary value problems. The introduction gives an overview of the relevant biological concepts (cells, DNA, organism development) and provides the requisite mathematical preliminaries on continuous dynamics and stochastic modeling. A basic understanding of calculus is assumed. The techniques described in this book encompass a wide range of mechanisms, from molecular behavior to population dynamics, and the inclusion of recent developments in the literature together with first-hand results make it an ideal reference for both new students and experienced researchers in the field of systems biology and applied mathematics.
Mathematical Models In Biology
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Author : Leah Edelstein-Keshet
language : en
Publisher: SIAM
Release Date : 1988-01-01
Mathematical Models In Biology written by Leah Edelstein-Keshet and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-01 with Mathematics categories.
Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community, it shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative. Audience: the book does not assume too much background knowledge--essentially some calculus and high-school algebra. It was originally written with third- and fourth-year undergraduate mathematical-biology majors in mind; however, it was picked up by beginning graduate students as well as researchers in math (and some in biology) who wanted to learn about this field.
X Nuclei Magnetic Resonance Imaging
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Author : Guillaume Madelin
language : en
Publisher: CRC Press
Release Date : 2022-03-14
X Nuclei Magnetic Resonance Imaging written by Guillaume Madelin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-14 with Medical categories.
Standard magnetic resonance imaging (MRI) is a prominent clinical imaging modality used to diagnose and study diseases in vivo. It is principally based on the detection of the nuclei of hydrogen atoms (the proton; symbol 1H) in water molecules in tissues. X-nuclei MRI (also called non-proton MRI) is based on the detection of the nuclei of other atoms (X-nuclei) in the body, such as sodium (23Na), phosphorus (31P), chlorine (35Cl), potassium (39K), deuterium (2H), oxygen (17O), lithium (7Li), and fluorine (19F) using modified software and hardware. X-nuclei MRI can provide fundamental, new metabolic information related to cellular energetic metabolism and ion homeostasis in tissues that cannot be assessed using standard hydrogen MRI. This book is an introduction to the techniques and biomedical applications of X-nuclei MRI. It describes the theoretical and experimental basis of X-nuclei MRI, the limitations of this technique, and its potential biomedical applications for the diagnosis and prognosis of many disorders or for quantitative monitoring of therapies in a wide range of diseases. The book is divided into four parts. Part I includes a general description of X-nuclei nuclear magnetic resonance physics and imaging. Part II deals with the MRI of endogenous nuclei such as 23Na, 31P, 35Cl, and 39K; Part III, the MRI of endogenous/exogenous nuclei such as 2H and 17O; and Part IV, the MRI of exogenous nuclei such as 7Li and 19F. The book is illustrated throughout with many representative figures and includes references and reading suggestions in each section. It is the first book to introduce X-nuclei MRI to researchers, clinicians, students, and general readers who are interested in the development of imaging methods for assessing new metabolic information in tissues in vivo in order to diagnose diseases, improve prognosis, or measure the efficiency of therapies in a timely and quantitative manner. It is an ideal starting point for a clinical or scientific research project in non-proton MRI techniques.
Reduced Order Methods For Modeling And Computational Reduction
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Author : Alfio Quarteroni
language : en
Publisher: Springer
Release Date : 2014-06-05
Reduced Order Methods For Modeling And Computational Reduction written by Alfio Quarteroni and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-05 with Mathematics categories.
This monograph addresses the state of the art of reduced order methods for modeling and computational reduction of complex parametrized systems, governed by ordinary and/or partial differential equations, with a special emphasis on real time computing techniques and applications in computational mechanics, bioengineering and computer graphics. Several topics are covered, including: design, optimization, and control theory in real-time with applications in engineering; data assimilation, geometry registration, and parameter estimation with special attention to real-time computing in biomedical engineering and computational physics; real-time visualization of physics-based simulations in computer science; the treatment of high-dimensional problems in state space, physical space, or parameter space; the interactions between different model reduction and dimensionality reduction approaches; the development of general error estimation frameworks which take into account both model and discretization effects. This book is primarily addressed to computational scientists interested in computational reduction techniques for large scale differential problems.
Multiscale Modeling Of Pedestrian Dynamics
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Author : Emiliano Cristiani
language : en
Publisher: Springer
Release Date : 2014-09-12
Multiscale Modeling Of Pedestrian Dynamics written by Emiliano Cristiani and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-12 with Mathematics categories.
This book presents mathematical models and numerical simulations of crowd dynamics. The core topic is the development of a new multiscale paradigm, which bridges the microscopic and macroscopic scales taking the most from each of them for capturing the relevant clues of complexity of crowds. The background idea is indeed that most of the complex trends exhibited by crowds are due to an intrinsic interplay between individual and collective behaviors. The modeling approach promoted in this book pursues actively this intuition and profits from it for designing general mathematical structures susceptible of application also in fields different from the inspiring original one. The book considers also the two most traditional points of view: the microscopic one, in which pedestrians are tracked individually and the macroscopic one, in which pedestrians are assimilated to a continuum. Selected existing models are critically analyzed. The work is addressed to researchers and graduate students.
Mathematical Modeling And Signal Processing In Speech And Hearing Sciences
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Author : Jack Xin
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-04-14
Mathematical Modeling And Signal Processing In Speech And Hearing Sciences written by Jack Xin 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 2014-04-14 with Mathematics categories.
The aim of the book is to give an accessible introduction of mathematical models and signal processing methods in speech and hearing sciences for senior undergraduate and beginning graduate students with basic knowledge of linear algebra, differential equations, numerical analysis, and probability. Speech and hearing sciences are fundamental to numerous technological advances of the digital world in the past decade, from music compression in MP3 to digital hearing aids, from network based voice enabled services to speech interaction with mobile phones. Mathematics and computation are intimately related to these leaps and bounds. On the other hand, speech and hearing are strongly interdisciplinary areas where dissimilar scientific and engineering publications and approaches often coexist and make it difficult for newcomers to enter.
An Introduction To Computational Systems Biology
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Author : Karthik Raman
language : en
Publisher: Chapman & Hall/CRC
Release Date : 2023-05-29
An Introduction To Computational Systems Biology written by Karthik Raman and has been published by Chapman & Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-29 with Biological systems categories.
Emphasises a hands-on approach to modelling Strong emphasis on coding and software tools for systems biology Covers the entire spectrum of modelling, from static networks, to dynamic models Thoughtful exercises to test and enable student understanding of concepts Current chapters on exciting new developments like whole-cell modelling and community modelling
The Mimetic Finite Difference Method For Elliptic Problems
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Author : Lourenco Beirao da Veiga
language : en
Publisher: Springer
Release Date : 2014-05-22
The Mimetic Finite Difference Method For Elliptic Problems written by Lourenco Beirao da Veiga and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-22 with Mathematics categories.
This book describes the theoretical and computational aspects of the mimetic finite difference method for a wide class of multidimensional elliptic problems, which includes diffusion, advection-diffusion, Stokes, elasticity, magnetostatics and plate bending problems. The modern mimetic discretization technology developed in part by the Authors allows one to solve these equations on unstructured polygonal, polyhedral and generalized polyhedral meshes. The book provides a practical guide for those scientists and engineers that are interested in the computational properties of the mimetic finite difference method such as the accuracy, stability, robustness, and efficiency. Many examples are provided to help the reader to understand and implement this method. This monograph also provides the essential background material and describes basic mathematical tools required to develop further the mimetic discretization technology and to extend it to various applications.