Dynamical Systems Pdes And Networks For Biomedical Applications Mathematical Modeling Analysis And Simulations

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Dynamical Systems Pdes And Networks For Biomedical Applications Mathematical Modeling Analysis And Simulations
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Author : André H. Erhardt
language : en
Publisher: Frontiers Media SA
Release Date : 2023-02-15
Dynamical Systems Pdes And Networks For Biomedical Applications Mathematical Modeling Analysis And Simulations written by André H. Erhardt and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-15 with Science categories.
Mathematical Modeling And Simulation
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Author : Kai Velten
language : en
Publisher: John Wiley & Sons
Release Date : 2009-06-01
Mathematical Modeling And Simulation written by Kai Velten and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-01 with Science categories.
This concise and clear introduction to the topic requires only basic knowledge of calculus and linear algebra - all other concepts and ideas are developed in the course of the book. Lucidly written so as to appeal to undergraduates and practitioners alike, it enables readers to set up simple mathematical models on their own and to interpret their results and those of others critically. To achieve this, many examples have been chosen from various fields, such as biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical and process engineering, which are subsequently discussed in detail. Based on the author`s modeling and simulation experience in science and engineering and as a consultant, the book answers such basic questions as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation? The book relies exclusively upon open-source software which is available to everybody free of charge. The entire book software - including 3D CFD and structural mechanics simulation software - can be used based on a free CAELinux-Live-DVD that is available in the Internet (works on most machines and operating systems).
Systems Biology Application In Synthetic Biology
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Author : Shailza Singh
language : en
Publisher: Springer
Release Date : 2016-09-08
Systems Biology Application In Synthetic Biology written by Shailza Singh and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-08 with Science categories.
This book introduces students to methods that will help them understand behaviour in terms of cellular components and their interactions in non-intuitive ways, which calls for an interdisciplinary approach combining mathematical, chemical, computational and biological strategies. Tibor Ganti was one of the early pioneers who proposed a theoretical framework to understand living principles in terms of chemical transformation cycles and their coupling. The twenty-first century then brought with it a novel ‘systems’ paradigm, which shone new light on all previous work and was accompanied by numerous implications for the way we conceive of chemical and biological complexity today. This book seeks to equip students to take advantage of any field that investigates living systems. Based on a conceptualisation of science-oriented branches, engineering-oriented branches and biology as astoundingly complex fields, those structures laden with biochemical detail encompass a deeper theory unifying our knowledge of designed systems. Readers will be pleasantly surprised at how lucidly the topics are presented. The book offers an indispensable resource for students and professionals working in systems and synthetic biology or any of the various related fields of research.
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.
Stochastic Dynamics In Computational Biology
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Author : Stefanie Winkelmann
language : en
Publisher: Springer Nature
Release Date : 2021-01-04
Stochastic Dynamics In Computational Biology written by Stefanie Winkelmann and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-04 with Mathematics categories.
The aim of this book is to provide a well-structured and coherent overview of existing mathematical modeling approaches for biochemical reaction systems, investigating relations between both the conventional models and several types of deterministic-stochastic hybrid model recombinations. Another main objective is to illustrate and compare diverse numerical simulation schemes and their computational effort. Unlike related works, this book presents a broad scope in its applications, from offering a detailed introduction to hybrid approaches for the case of multiple population scales to discussing the setting of time-scale separation resulting from widely varying firing rates of reaction channels. Additionally, it also addresses modeling approaches for non well-mixed reaction-diffusion dynamics, including deterministic and stochastic PDEs and spatiotemporal master equations. Finally, by translating and incorporating complex theory to a level accessible to non-mathematicians, this book effectively bridges the gap between mathematical research in computational biology and its practical use in biological, biochemical, and biomedical systems.
Which Degree
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Author :
language : en
Publisher:
Release Date : 1997
Which Degree written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Universities and colleges categories.
Nasa Sp
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Author :
language : en
Publisher:
Release Date : 1962
Nasa Sp written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Aeronautics categories.
Aeronautical Engineering
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Author :
language : en
Publisher:
Release Date : 1986
Aeronautical Engineering written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Aeronautics categories.
A selection of annotated references to unclassified reports and journal articles that were introduced into the NASA scientific and technical information system and announced in Scientific and technical aerospace reports (STAR) and International aerospace abstracts (IAA).
Systems Biology Of Microbial Infection
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Author : Reinhard Guthke
language : en
Publisher: Frontiers E-books
Release Date :
Systems Biology Of Microbial Infection written by Reinhard Guthke and has been published by Frontiers E-books this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
The systems biology of microbial infections aims at describing and analysing the confrontation of the host with bacterial and fungal pathogens. It intends to understand and to model the interaction of the host, in particular the immune system of humans or animals, with components of pathogens. This comprises experimental studies that provide spatio-temporal data from monitoring the response of host and pathogenic cells to perturbations or when interacting with each other, as well as the integrative analysis of genome-wide data from both the host and the pathogen. In perspective, the host-pathogen interaction should be described by a combination of spatio-temporal models with interacting molecular networks of the host and the pathogen. The aim is to unravel the main mechanisms of pathogenicity, to identify diagnostic biomarkers and potential drug targets, and to explore novel strategies for personalized therapy by computer simulations. Some microorganisms are part of the normal microbial flora, existing either in a mutualistic or commensal relationship with the host. Microorganisms become pathogenic if they posses certain physiological characteristics and virulence determinants as well as capabilities for immune evasion. Despite the different pathogenesis of infections, there are several common traits: (1) Before infection, pathogens must be able to overcome (epithelial) barriers. The infection starts by adhesion and colonization and is followed by entering of the pathogen into the host through the mucosa or (injured) skin. (2) Next, infection arises if the pathogen multiplies and overgrows the normal microbial flora, either at the place of entrance or in deeper tissue layers or organs. (3) After the growth phase, the pathogen damages the host’s cells, tissues and organs by producing toxins or destructive enzymes. Thus, systems biology of microbial infection comprises all levels of the pathogen and the host’s immune system. The investigation may start with the pathogen, its adhesion and colonization at the host, its interaction with host cell types e.g. epithelia cells, dendritic cells, macrophages, neutrophils, natural killer cells, etc. Because infection diseases are mainly found in patients with a weakened immune system, e.g. reduced activities of immune effector cells or defects in the epithelial barriers, systems biology of infection can also start with modelling of the immune defence including innate and adaptive immunity. Systems biological studies comprise both experimental and theoretical approaches. The experimental studies may be dedicated to reveal the relevance of certain genes or proteins in the above mentioned processes on the side of the pathogen and/or the host by applying functional and biochemical analyses based on knock-out mutants and knock- down experiments. At the theoretical, i.e. mathematical and computational, side systems biology of microbial infection comprises: (1) modelling of molecular mechanisms of bacterial or fungal infections, (2) modelling of non-protective and protective immune defences against microbial pathogens to generate information for possible immune therapy approaches, (3) modelling of infection dynamics and identification of biomarkers for diagnosis and for individualized therapy, (4) identifying essential virulence determinants and thereby predicting potential drug targets.
Machine Learning For Model Order Reduction
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Author : Khaled Salah Mohamed
language : en
Publisher: Springer
Release Date : 2018-03-02
Machine Learning For Model Order Reduction written by Khaled Salah Mohamed and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-02 with Technology & Engineering categories.
This Book discusses machine learning for model order reduction, which can be used in modern VLSI design to predict the behavior of an electronic circuit, via mathematical models that predict behavior. The author describes techniques to reduce significantly the time required for simulations involving large-scale ordinary differential equations, which sometimes take several days or even weeks. This method is called model order reduction (MOR), which reduces the complexity of the original large system and generates a reduced-order model (ROM) to represent the original one. Readers will gain in-depth knowledge of machine learning and model order reduction concepts, the tradeoffs involved with using various algorithms, and how to apply the techniques presented to circuit simulations and numerical analysis. Introduces machine learning algorithms at the architecture level and the algorithm levels of abstraction; Describes new, hybrid solutions for model order reduction; Presents machine learning algorithms in depth, but simply; Uses real, industrial applications to verify algorithms.