ODE PDE Analysis of Antibiotic Antimicrobial Resistance Book

ODE PDE Analysis of Antibiotic Antimicrobial Resistance

  • Author : William E. Schiesser
  • Publisher : Academic Press
  • Release Date : 2020-08-13
  • Genre: Science
  • Pages : 122
  • ISBN 10 : 9780128242506

ODE PDE Analysis of Antibiotic Antimicrobial Resistance Excerpt :

ODE/PDE Analysis of Antibiotic/Antimicrobial Resistance: Programming in R presents mathematical models for antibiotic/antimicrobial resistance based on ordinary and partial differential equations (ODE/PDEs). Sections cover the basic ODE model, the detailed PDE model that gives the spatiotemporal distribution of four dependent variable components, including susceptible bacteria population density, resistant bacteria population density, plasmid number, and antibiotic concentration. The computer-based implementation of the example models is presented through routines coded (programmed) in R, a quality, open-source scientific computing system that is readily available from the Internet. As such, formal mathematics is minimized and no theorems and proofs are required. The PDE analysis is based on the method of lines (MOL), an established general algorithm for PDEs that is implemented with finite differences. Routines are available from a download link so that the example models can be executed without having to first study numerical methods and computer coding. Routines can then be applied to variations and extensions of the antibiotic/antimicrobial models, such as changes in the ODE/PDE parameters (constants) and the form of the model equations. Includes PDE routines based on the method of lines (MOL) for computer-based implementation of PDE models Offers transportable computer source codes for readers in R, with line-by-line code descriptions as it relates to mathematical model and algorithms Authored by a leading researcher and educator in PDE models

Systems Medicine Book

Systems Medicine

  • Author : Anonim
  • Publisher : Academic Press
  • Release Date : 2020-08-24
  • Genre: Science
  • Pages : 1589
  • ISBN 10 : 9780128160787

Systems Medicine Excerpt :

Technological advances in generated molecular and cell biological data are transforming biomedical research. Sequencing, multi-omics and imaging technologies are likely to have deep impact on the future of medical practice. In parallel to technological developments, methodologies to gather, integrate, visualize and analyze heterogeneous and large-scale data sets are needed to develop new approaches for diagnosis, prognosis and therapy. Systems Medicine: Integrative, Qualitative and Computational Approaches is an innovative, interdisciplinary and integrative approach that extends the concept of systems biology and the unprecedented insights that computational methods and mathematical modeling offer of the interactions and network behavior of complex biological systems, to novel clinically relevant applications for the design of more successful prognostic, diagnostic and therapeutic approaches. This 3 volume work features 132 entries from renowned experts in the fields and covers the tools, methods, algorithms and data analysis workflows used for integrating and analyzing multi-dimensional data routinely generated in clinical settings with the aim of providing medical practitioners with robust clinical decision support systems. Importantly the work delves into the applications of systems medicine in areas such as tumor systems biology, metabolic and cardiovascular diseases as well as immunology and infectious diseases amongst others. This is a fundamental resource for biomedical students and researchers as well as medical practitioners who need to need to adopt advances in computational tools and methods into the clinical practice. Encyclopedic coverage: ‘one-stop’ resource for access to information written by world-leading scholars in the field of Systems Biology and Systems Medicine, with easy cross-referencing of related articles to promote understanding and further research Authoritative: the whole work is authored and edited by recognized experts in the field

Differential Equation Analysis in Biomedical Science and Engineering Book

Differential Equation Analysis in Biomedical Science and Engineering

  • Author : William E. Schiesser
  • Publisher : John Wiley & Sons
  • Release Date : 2014-03-31
  • Genre: Mathematics
  • Pages : 344
  • ISBN 10 : 9781118705162

Differential Equation Analysis in Biomedical Science and Engineering Excerpt :

Features a solid foundation of mathematical and computational tools to formulate and solve real-world PDE problems across various fields With a step-by-step approach to solving partial differential equations (PDEs), Differential Equation Analysis in Biomedical Science and Engineering: Partial Differential Equation Applications with R successfully applies computational techniques for solving real-world PDE problems that are found in a variety of fields, including chemistry, physics, biology, and physiology. The book provides readers with the necessary knowledge to reproduce and extend the computed numerical solutions and is a valuable resource for dealing with a broad class of linear and nonlinear partial differential equations. The author’s primary focus is on models expressed as systems of PDEs, which generally result from including spatial effects so that the PDE dependent variables are functions of both space and time, unlike ordinary differential equation (ODE) systems that pertain to time only. As such, the book emphasizes details of the numerical algorithms and how the solutions were computed. Featuring computer-based mathematical models for solving real-world problems in the biological and biomedical sciences and engineering, the book also includes: R routines to facilitate the immediate use of computation for solving differential equation problems without having to first learn the basic concepts of numerical analysis and programming for PDEs Models as systems of PDEs and associated initial and boundary conditions with explanations of the associated chemistry, physics, biology, and physiology Numerical solutions of the presented model equations with a discussion of the important features of the solutions Aspects of general PDE computation through various biomedical science and engineering applications Differential Equation Analysis in Biomedical Science and Engineering: Partial Differential Equation Applications with R is an excellent reference for research

Mathematical Models in Epidemiology Book

Mathematical Models in Epidemiology

  • Author : Fred Brauer
  • Publisher : Springer Nature
  • Release Date : 2019-10-10
  • Genre: Mathematics
  • Pages : 619
  • ISBN 10 : 9781493998289

Mathematical Models in Epidemiology Excerpt :

The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of disease transmission models. It includes (i) an introduction to the main concepts of compartmental models including models with heterogeneous mixing of individuals and models for vector-transmitted diseases, (ii) a detailed analysis of models for important specific diseases, including tuberculosis, HIV/AIDS, influenza, Ebola virus disease, malaria, dengue fever and the Zika virus, (iii) an introduction to more advanced mathematical topics, including age structure, spatial structure, and mobility, and (iv) some challenges and opportunities for the future. There are exercises of varying degrees of difficulty, and projects leading to new research directions. For the benefit of public health professionals whose contact with mathematics may not be recent, there is an appendix covering the necessary mathematical background. There are indications which sections require a strong mathematical background so that the book can be useful for both mathematical modelers and public health professionals.

Applications of Dynamical Systems in Biology and Medicine Book

Applications of Dynamical Systems in Biology and Medicine

  • Author : Trachette Jackson
  • Publisher : Springer
  • Release Date : 2015-07-06
  • Genre: Mathematics
  • Pages : 233
  • ISBN 10 : 9781493927821

Applications of Dynamical Systems in Biology and Medicine Excerpt :

This volume highlights problems from a range of biological and medical applications that can be interpreted as questions about system behavior or control. Topics include drug resistance in cancer and malaria, biological fluid dynamics, auto-regulation in the kidney, anti-coagulation therapy, evolutionary diversification and photo-transduction. Mathematical techniques used to describe and investigate these biological and medical problems include ordinary, partial and stochastic differentiation equations, hybrid discrete-continuous approaches, as well as 2 and 3D numerical simulation.

Structured Population Models in Biology and Epidemiology Book

Structured Population Models in Biology and Epidemiology

  • Author : Pierre Magal
  • Publisher : Springer
  • Release Date : 2008-04-12
  • Genre: Mathematics
  • Pages : 302
  • ISBN 10 : 9783540782735

Structured Population Models in Biology and Epidemiology Excerpt :

In this new century mankind faces ever more challenging environmental and publichealthproblems,suchaspollution,invasionbyexoticspecies,theem- gence of new diseases or the emergence of diseases into new regions (West Nile virus,SARS,Anthrax,etc.),andtheresurgenceofexistingdiseases(in?uenza, malaria, TB, HIV/AIDS, etc.). Mathematical models have been successfully used to study many biological, epidemiological and medical problems, and nonlinear and complex dynamics have been observed in all of those contexts. Mathematical studies have helped us not only to better understand these problems but also to ?nd solutions in some cases, such as the prediction and control of SARS outbreaks, understanding HIV infection, and the investi- tion of antibiotic-resistant infections in hospitals. Structuredpopulationmodelsdistinguishindividualsfromoneanother- cording to characteristics such as age, size, location, status, and movement, to determine the birth, growth and death rates, interaction with each other and with environment, infectivity, etc. The goal of structured population models is to understand how these characteristics a?ect the dynamics of these models and thus the outcomes and consequences of the biological and epidemiolo- cal processes. There is a very large and growing body of literature on these topics. This book deals with the recent and important advances in the study of structured population models in biology and epidemiology. There are six chapters in this book, written by leading researchers in these areas.

Dictionary of Pharmaceutical Medicine Book

Dictionary of Pharmaceutical Medicine

  • Author : Gerhard Nahler
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-06-29
  • Genre: Medical
  • Pages : 179
  • ISBN 10 : 9783709140161

Dictionary of Pharmaceutical Medicine Excerpt :

This dictionary is aimed primarily at the beginners entering the new discipline of Pharmaceutical Medicine, an area comprising aspects of toxicology, pharmacology, pharmaceutics, epidemiology, statistics, drug regulatory and legal affairs, medicine and marketing. But also more experienced colleagues in departments engaged in clinical development as well as researchers and marketing experts in the pharmaceutical industry will find concise and up-to-date information. The book is completed by a list of a about 1000 abbreviations encountered in pharmaceutical medicine and a compilation of important addresses of national and international health authorities.

A Practical Guide to Ecological Modelling Book

A Practical Guide to Ecological Modelling

  • Author : Karline Soetaert
  • Publisher : Springer Science & Business Media
  • Release Date : 2008-10-14
  • Genre: Science
  • Pages : 372
  • ISBN 10 : 9781402086243

A Practical Guide to Ecological Modelling Excerpt :

Mathematical modelling is an essential tool in present-day ecological research. Yet for many ecologists it is still problematic to apply modelling in their research. In our experience, the major problem is at the conceptual level: proper understanding of what a model is, how ecological relations can be translated consistently into mathematical equations, how models are solved, steady states calculated and interpreted. Many textbooks jump over these conceptual hurdles to dive into detailed formulations or the mathematics of solution. This book attempts to fill that gap. It introduces essential concepts for mathematical modelling, explains the mathematics behind the methods, and helps readers to implement models and obtain hands-on experience. Throughout the book, emphasis is laid on how to translate ecological questions into interpretable models in a practical way. The book aims to be an introductory textbook at the undergraduate-graduate level, but will also be useful to seduce experienced ecologists into the world of modelling. The range of ecological models treated is wide, from Lotka-Volterra type of principle-seeking models to environmental or ecosystem models, and including matrix models, lattice models and sequential decision models. All chapters contain a concise introduction into the theory, worked-out examples and exercises. All examples are implemented in the open-source package R, thus taking away problems of software availability for use of the book. All code used in the book is available on a dedicated website.

Mathematical Modeling in Systems Biology Book

Mathematical Modeling in Systems Biology

  • Author : Brian P. Ingalls
  • Publisher : MIT Press
  • Release Date : 2013-07-05
  • Genre: Science
  • Pages : 424
  • ISBN 10 : 9780262018883

Mathematical Modeling in Systems Biology Excerpt :

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.

Differential Equations Book

Differential Equations

  • Author : Bruce P. Conrad
  • Publisher : Unknown
  • Release Date : 2003
  • Genre: Mathematics
  • Pages : 462
  • ISBN 10 : UCSC:32106011431795

Differential Equations Excerpt :

Written for beginners, this well organized introduction promotes a solid understanding of differential equations that is flexible enough to meet the needs of many different disciplines. With less emphasis on formal calculation than found in other books all the basic methods are covered—first order equations, separation, exact form, and linear equations—as well as higher order cases, linear equation with constant and variable coefficients, Laplace transform methods, and boundary value problems. The book's systems focus induces an intuitive understanding of the concept of a solution of an initial value problem in order to resolve potential confusion about what is being approximated when a numerical method is used. The author outlines first order equations including linear and nonlinear equations and systems of differential equations, as well as linear differential equations including the Laplace transform, and variable coefficients, nonlinear differential equations, and boundary problems and PDEs. For those looking for a solid introduction to differential equations.

Green Synthesis of Silver Nanomaterials Book

Green Synthesis of Silver Nanomaterials

  • Author : Kamel A. Abd-Elsalam
  • Publisher : Elsevier
  • Release Date : 2021-11-01
  • Genre: Technology & Engineering
  • Pages : 795
  • ISBN 10 : 9780128245095

Green Synthesis of Silver Nanomaterials Excerpt :

Green Synthesis of Silver Nanomaterials illustrates how to biologically scale up silver nanoparticle synthesis. This book covers green synthesis of silver nanomaterials, via plants, agricultural waste, fungi, and microorganisms. Sections cover the synthesis and characterization of chemical and green synthesis, various types of silver nanomaterialism, the ability of different fungal species, such as filamentous fungi, to produce silver nanoparticles, the microbial synthesis of silver NMs, biosynthesis mechanisms, toxicity, fate and commercialization. As examples, greener pathways and mechanisms, toxicity of silver nanoparticles in aquatic life and in natural eco-systems, and strategies for the scaling up of green-synthesized nanomaterials are discussed. With the extended work in enhancing nanomaterials synthesis performance, and discovering their biomedical, environmental, and agricultural applications, it is hoped that the execution of these methods on a large scale and their industrial applications in different fields will take place in the near future. Assesses the impact of a large variety of silver-based nanostructures in the biomedical, environmental and agri-food sectors Discusses the major synthesis methods used for effectively processing plant-based silver nanoparticles Outlines the potential and major challenges for adopting green synthesis methods on a mass scale

Methods and Models in Mathematical Biology Book

Methods and Models in Mathematical Biology

  • Author : Johannes Müller
  • Publisher : Springer
  • Release Date : 2015-08-13
  • Genre: Mathematics
  • Pages : 711
  • ISBN 10 : 9783642272516

Methods and Models in Mathematical Biology Excerpt :

This book developed from classes in mathematical biology taught by the authors over several years at the Technische Universität München. The main themes are modeling principles, mathematical principles for the analysis of these models and model-based analysis of data. The key topics of modern biomathematics are covered: ecology, epidemiology, biochemistry, regulatory networks, neuronal networks and population genetics. A variety of mathematical methods are introduced, ranging from ordinary and partial differential equations to stochastic graph theory and branching processes. A special emphasis is placed on the interplay between stochastic and deterministic models.

Proceedings of the 3rd Pan American Materials Congress Book

Proceedings of the 3rd Pan American Materials Congress

  • Author : Marc André Meyers
  • Publisher : Springer
  • Release Date : 2017-02-07
  • Genre: Technology & Engineering
  • Pages : 816
  • ISBN 10 : 9783319521329

Proceedings of the 3rd Pan American Materials Congress Excerpt :

This collection covers a variety of materials science topics and has contributions from leading scientists and engineers representing 8 countries and 9 international materials, metals, and minerals societies. Papers are organized into the following sections:Advanced BiomaterialsAdvanced ManufacturingMaterials for Green Energy Materials for Infrastructure Materials for the Oil and Gas Industry Materials for Transportation and LightweightingMinerals Extraction and ProcessingNanocrystalline and Ultra-fine Grain Materials and Bulk Metallic Glasses Steels

Human Enhancement Drugs Book

Human Enhancement Drugs

  • Author : Katinka van de Ven
  • Publisher : Routledge
  • Release Date : 2019-07-02
  • Genre: Social Science
  • Pages : 336
  • ISBN 10 : 9781351373838

Human Enhancement Drugs Excerpt :

Despite increasing interest in the use of human enhancement drugs (HEDs), our understanding of this phenomenon and the regulatory framework used to address it has lagged behind. Encompassing public health, epidemiology, neuroethics, sport science, criminology, and sociology, this book brings together a broad spectrum of scholarly insights and research expertise from leading authorities to examine key international issues in the field of HEDs. As "traditional" and other "new" drug markets have occupied much of the academic attention, there has been a lack of scholarly focus on human enhancement drugs. This book provides readers with a much-needed understanding of the illicit drug market of HEDs. The authors, from a variety of cultural contexts, disciplines and perspectives, include both academics and practitioners. Topics explored in this collection amongst others include: • The anti-doping industry and performance and image enhancing drugs • Steroids and gender • The use of cognitive enhancing drugs in academia • The use of sunless synthetic tanning products • The (online) trade of HEDs • Regulations of the enhancement drugs market This collection will serve as a reference for students, academics, practitioners, law enforcement and others working in this area to reflect on the current state of research and consider future priorities. This detailed exploration will provide a valuable knowledge base for those interested in human enhancement drugs, while also promoting critical discussion.

Mathematical Modeling of Biofilms Book
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Mathematical Modeling of Biofilms

  • Author : IWA Task Group on Biofilm Modeling
  • Publisher : IWA Publishing
  • Release Date : 2006-04-30
  • Genre: Science
  • Pages : 208
  • ISBN 10 : 9781843390879

Mathematical Modeling of Biofilms Excerpt :

Over 90% of bacterial biomass exists in the form of biofilms. The ability of bacteria to attach to surfaces and to form biofilms often is an important competitive advantage for them over bacteria growing in suspension. Some biofilms are "good" in natural and engineered systems; they are responsible for nutrient cycling in nature and are used to purify waters in engineering processes. Other biofilms are "bad" when they cause fouling and infections of humans and plants. Whether we want to promote good biofilms or eliminate bad biofilms, we need to understand how they work and what works to control them. Mathematical Modeling of Biofilms provides guidelines for the selection and use of mathematical models of biofilms. The whole range of existing models - from simple analytical expressions to complex numerical models - is covered. The application of the models for the solution of typical problems is demonstrated, and the performance of the models is tested in comparative studies. With the dramatic evolution of the computational capacity still going on, modeling tools for research and practice will become more and more significant in the next few years. This report provides the foundation to understand the models and to select the most appropriate one for a given use. Mathematical Modeling of Biofilms gives a state-of-the-art overview that is especially valuable for educating students, new biofilm researchers, and design engineers. Through a series of three benchmark problems, the report demonstrates how to use the different models and indicates when simple or highly complex models are most appropriate. This is the first report to give a quantitative comparison of existing biofilm models. The report supports model-based design of biofilm reactors. The report can be used as basis for teaching biofilm-system modeling. The report provides the foundation for researchers seeking to use biofilm modeling or to develop new biofilm models. Scientific and Technical Report No.18