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ODE/PDE Analysis of Antibiotic/Antimicrobial Resistance

ODE/PDE Analysis of Antibiotic/Antimicrobial Resistance
Programming in R

by William E. Schiesser

  • Publisher : Academic Press
  • Release : 2020-08-24
  • Pages : 122
  • ISBN : 0128242507
  • Language : En, Es, Fr & De
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Mathematical models for antibiotic/antimicrobial resistance based on ordinary and partial differential equations (ODE/PDEs) are presented in this book, starting with a basic ODE model in Chapter 1, and concluding with a detailed PDE model in Chapters 4 and 5 that gives the spatiotemporal distribution of four dependent variable components: (1) susceptible bacteria population density, (2) resistant bacteria population density, (3) plasmid number, and (4) 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. Formal mathematics is minimized, e.g., no theorems and proofs. Rather, the presentation is through detailed examples that the reader/researcher/analyst can execute on modest computers. The PDE analysis is based on the method of lines (MOL), an established general algorithm for PDEs, implemented with finite differences. The 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. The 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 the mathematical model and algorithms Authored by a leading researcher and educator in PDE models

Systems Medicine

Systems Medicine
Integrative, Qualitative and Computational Approaches

by Anonim

  • Publisher : Academic Press
  • Release : 2020-08-24
  • Pages : 1589
  • ISBN : 0128160780
  • Language : En, Es, Fr & De
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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, with a range of different expertise, ensuring a high quality standard Digitally innovative: Hyperlinked references and further readings, cross-references and diagrams/images will allow readers to easily navigate a wealth of information

Comprehensive Medicinal Chemistry III

Comprehensive Medicinal Chemistry III
A Book

by Anonim

  • Publisher : Elsevier
  • Release : 2017-06-03
  • Pages : 4536
  • ISBN : 0128032014
  • Language : En, Es, Fr & De
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Comprehensive Medicinal Chemistry III provides a contemporary and forward-looking critical analysis and summary of recent developments, emerging trends, and recently identified new areas where medicinal chemistry is having an impact. The discipline of medicinal chemistry continues to evolve as it adapts to new opportunities and strives to solve new challenges. These include drug targeting, biomolecular therapeutics, development of chemical biology tools, data collection and analysis, in silico models as predictors for biological properties, identification and validation of new targets, approaches to quantify target engagement, new methods for synthesis of drug candidates such as green chemistry, development of novel scaffolds for drug discovery, and the role of regulatory agencies in drug discovery. Reviews the strategies, technologies, principles, and applications of modern medicinal chemistry Provides a global and current perspective of today's drug discovery process and discusses the major therapeutic classes and targets Includes a unique collection of case studies and personal assays reviewing the discovery and development of key drugs

Understanding the Dynamics of Biological Systems

Understanding the Dynamics of Biological Systems
Lessons Learned from Integrative Systems Biology

by Werner Dubitzky,Jennifer Southgate,Hendrik Fuß

  • Publisher : Springer Science & Business Media
  • Release : 2011-01-07
  • Pages : 238
  • ISBN : 9781441979643
  • Language : En, Es, Fr & De
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This book is intended as a communication platform to bridge the cultural, conceptual, and technological gap among the key systems biology disciplines of biology, mathematics, and information technology. To support this goal, contributors were asked to adopts an approach that appeals to audiences from different backgrounds.

Microbial Community Modeling: Prediction of Microbial Interactions and Community Dynamics

Microbial Community Modeling: Prediction of Microbial Interactions and Community Dynamics
A Book

by Hyun-Seob Song

  • Publisher : MDPI
  • Release : 2018-07-04
  • Pages : 295
  • ISBN : 3038429759
  • Language : En, Es, Fr & De
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This book is a printed edition of the Special Issue "Microbial Community Modeling: Prediction of Microbial Interactions and Community Dynamics" that was published in Processes

An Introduction to Undergraduate Research in Computational and Mathematical Biology

An Introduction to Undergraduate Research in Computational and Mathematical Biology
From Birdsongs to Viscosities

by Hannah Callender Highlander,Alex Capaldi,Carrie Diaz Eaton

  • Publisher : Springer Nature
  • Release : 2020-02-17
  • Pages : 469
  • ISBN : 303033645X
  • Language : En, Es, Fr & De
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Speaking directly to the growing importance of research experience in undergraduate mathematics programs, this volume offers suggestions for undergraduate-appropriate research projects in mathematical and computational biology for students and their faculty mentors. The aim of each chapter is twofold: for faculty, to alleviate the challenges of identifying accessible topics and advising students through the research process; for students, to provide sufficient background, additional references, and context to excite students in these areas and to enable them to successfully undertake these problems in their research. Some of the topics discussed include: • Oscillatory behaviors present in real-world applications, from seasonal outbreaks of childhood diseases to action potentials in neurons • Simulating bacterial growth, competition, and resistance with agent-based models and laboratory experiments • Network structure and the dynamics of biological systems • Using neural networks to identify bird species from birdsong samples • Modeling fluid flow induced by the motion of pulmonary cilia Aimed at undergraduate mathematics faculty and advanced undergraduate students, this unique guide will be a valuable resource for generating fruitful research collaborations between students and faculty.

Applications of Dynamical Systems in Biology and Medicine

Applications of Dynamical Systems in Biology and Medicine
A Book

by Trachette Jackson,Ami Radunskaya

  • Publisher : Springer
  • Release : 2015-07-06
  • Pages : 233
  • ISBN : 1493927825
  • Language : En, Es, Fr & De
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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.

The New Generation of Quinolones

The New Generation of Quinolones
A Book

by Siporin

  • Publisher : CRC Press
  • Release : 1990-08-28
  • Pages : 368
  • ISBN : 9780824782245
  • Language : En, Es, Fr & De
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Surveys the newest members of a family of antimicrobial drugs increasingly being used to treat infections of the urinary tract, lungs, skin, bones, and diarrheal diseases. The drugs have been developed only since the 1960s, and still pose many questions about resistance and toxic and developmental s

Bibliography of Agriculture

Bibliography of Agriculture
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1972
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Differential Equations

Differential Equations
A Systems Approach

by Bruce P. Conrad

  • Publisher : Unknown Publisher
  • Release : 2003
  • Pages : 462
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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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.

Intestinal health

Intestinal health
Key to maximise growth performance in livestock

by Theo Niewold

  • Publisher : Wageningen Academic Publishers
  • Release : 2014-11-27
  • Pages : 276
  • ISBN : 9086867928
  • Language : En, Es, Fr & De
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Livestock production is changing worldwide. Amongst the changes are those instigated by legislation such as restrictions on antibiotics and antibiotic growth promoters, well fare regulations, etc., all forcing livestock producers to adapt to new husbandry, management, nutrition and healthcare techniques. Food safety is an explosive political issue. The expectations and demands of the informed consumer have altered perceptions of risk and brought food safety to the very front and centre of politics. The gastrointestinal tract is essential in the maintenance of health, wellbeing and production in livestock. The above changes impact feed formulation. The industry looks for alternatives to maintain intestinal health and maximise animal performance, whilst complying with increasingly stringent legislation. This requires a good understanding of the physiological processes involved. In this book, the current knowledge in the major monogastric production species (pigs and chicken) is reviewed by renowned experts in the field. It describes infectious and non-infectious challenges as well as the complex interaction between innate, cellular and humoral immunity and performance. The problems that this complexity poses concerning the identification of important factors for intestinal health are discussed. 'Intestinal health' also reviews promising new approaches such as the use and development of validated biomarkers, and the application of omics techniques and systems biology.

Adaptive Method of Lines

Adaptive Method of Lines
A Book

by A, Vande Wouwer,Ph. Saucez,W.E. Schiesser

  • Publisher : CRC Press
  • Release : 2001-04-18
  • Pages : 432
  • ISBN : 1420035614
  • Language : En, Es, Fr & De
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The general Method of Lines (MOL) procedure provides a flexible format for the solution of all the major classes of partial differential equations (PDEs) and is particularly well suited to evolutionary, nonlinear wave PDEs. Despite its utility, however, there are relatively few texts that explore it at a more advanced level and reflect the method's current state of development. Written by distinguished researchers in the field, Adaptive Method of Lines reflects the diversity of techniques and applications related to the MOL. Most of its chapters focus on a particular application but also provide a discussion of underlying philosophy and technique. Particular attention is paid to the concept of both temporal and spatial adaptivity in solving time-dependent PDEs. Many important ideas and methods are introduced, including moving grids and grid refinement, static and dynamic gridding, the equidistribution principle and the concept of a monitor function, the minimization of a functional, and the moving finite element method. Applications addressed include shallow water flow, combustion and flame propagation, transport in porous media, gas dynamics, chemical engineering processes, solitary waves, and magnetohydrodynamics. As the first advanced text to represent the modern era of the method of lines, this monograph offers an outstanding opportunity to discover new concepts, learn new techniques, and explore a wide range of applications.

Government Reports Announcements & Index

Government Reports Announcements & Index
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1988-07
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Mathematical Modeling of Biofilms

Mathematical Modeling of Biofilms
A Book

by IWA Task Group on Biofilm Modeling

  • Publisher : IWA Publishing
  • Release : 2006-04-30
  • Pages : 208
  • ISBN : 1843390876
  • Language : En, Es, Fr & De
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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

Virus Dynamics : Mathematical Principles of Immunology and Virology

Virus Dynamics : Mathematical Principles of Immunology and Virology
Mathematical Principles of Immunology and Virology

by Martin Nowak,Robert M. May

  • Publisher : Oxford University Press, UK
  • Release : 2000-11-23
  • Pages : 250
  • ISBN : 0191588512
  • Language : En, Es, Fr & De
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This groundbreaking book describes the emerging field of theoretical immunology, in particular the use of mathematical models to describe the spread of infectious diseases within patients. It reveals fascinating insights into the dynamics of viral and other infections, and the interactions between infectious agents and immune responses. Structured around the examples of HIV/AIDS and hepatitis B, Nowak and May show how mathematical models can help researchers to understand the detailed dynamics of infection and the effects of antiviral therapy. Models are developed to describe the dynamics of drug resistance, immune responses, viral evolution and mutation, and to optimise the design of therapy and vaccines. - ;We know, down to the tiniest details, the molecular structure of the human immunodeficiency virus (HIV). Yet despite this tremendous accomplishment, and despite other remarkable advances in our understanding of individual viruses and cells of the immune system, we still have no agreed understanding of the ultimate course and variability of the pathogenesis of AIDS. Gaps in our understanding like these impede our efforts towards developing effective therapies and preventive vaccines. Martin Nowak and Robert M May describe the emerging field of theoretical immunology in this accessible and well- written text. Using mathematical modelling techniques, the authors set out their ideas about how populations of viruses and populations of immune system cells may interact in various circumstances, and how infectious diseases spread within patients. They explain how this approach to understanding infectious diseases can reveal insights into the dynamics of viral and other infections, and the interactions between infectious agents and immune responses. The book is structured around the examples of HIV/AIDS and Hepatitis B virus, although the approaches described will be more widely applicable. The authors use mathematical tools to uncover the detailed dynamics of the infection and the effects of antiviral therapy. Models are developed to describe the emergence of drug resistance, and the dynamics of immune responses, viral evolution, and mutation. The practical implications of this work for optimisation of the design of therapy and vaccines are discussed. The book concludes with a glance towards the future of this fascinating, and potentially highly useful, field of study. - ;... an excellent introduction to a field that has the potential to advance substantially our understanding of the complex interplay between virus and host - Nature

Theoretical and Applied Aspects of Systems Biology

Theoretical and Applied Aspects of Systems Biology
A Book

by Fabricio Alves Barbosa da Silva,Nicolas Carels,Floriano Paes Silva Junior

  • Publisher : Springer
  • Release : 2018-06-21
  • Pages : 259
  • ISBN : 3319749749
  • Language : En, Es, Fr & De
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This book presents the theoretical foundations of Systems Biology, as well as its application in studies on human hosts, pathogens and associated diseases. This book presents several chapters written by renowned experts in the field. Some topics discussed in depth in this book include: computational modeling of multiresistant bacteria, systems biology of cancer, systems immunology, networks in systems biology.

Mathematical Models in Biology

Mathematical Models in Biology
A Book

by Leah Edelstein-Keshet

  • Publisher : SIAM
  • Release : 1988
  • Pages : 586
  • ISBN : 9780898719147
  • Language : En, Es, Fr & De
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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.

Mathematical and Statistical Modeling for Emerging and Re-emerging Infectious Diseases

Mathematical and Statistical Modeling for Emerging and Re-emerging Infectious Diseases
A Book

by Gerardo Chowell,James M. Hyman

  • Publisher : Springer
  • Release : 2016-07-27
  • Pages : 356
  • ISBN : 331940413X
  • Language : En, Es, Fr & De
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The contributions by epidemic modeling experts describe how mathematical models and statistical forecasting are created to capture the most important aspects of an emerging epidemic.Readers will discover a broad range of approaches to address questions, such as Can we control Ebola via ring vaccination strategies? How quickly should we detect Ebola cases to ensure epidemic control? What is the likelihood that an Ebola epidemic in West Africa leads to secondary outbreaks in other parts of the world? When does it matter to incorporate the role of disease-induced mortality on epidemic models? What is the role of behavior changes on Ebola dynamics? How can we better understand the control of cholera or Ebola using optimal control theory? How should a population be structured in order to mimic the transmission dynamics of diseases such as chlamydia, Ebola, or cholera? How can we objectively determine the end of an epidemic? How can we use metapopulation models to understand the role of movement restrictions and migration patterns on the spread of infectious diseases? How can we capture the impact of household transmission using compartmental epidemic models? How could behavior-dependent vaccination affect the dynamical outcomes of epidemic models? The derivation and analysis of the mathematical models addressing these questions provides a wide-ranging overview of the new approaches being created to better forecast and mitigate emerging epidemics. This book will be of interest to researchers in the field of mathematical epidemiology, as well as public health workers.

Modelling Drug Use

Modelling Drug Use
Methods to Quantify and Understand Hidden Processes

by European Monitoring Centre for Drugs and Drug Addiction

  • Publisher : European Communities
  • Release : 2001
  • Pages : 245
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Recoge : 1. Epidemiology of drug use at macro level - 2. What are dynamic models and how can they be used? - 3. Modelling drug misuse in Europe using geographic information systems - 4. Using available data with dynamic models to estimate the extent of problem drug use - 5. Multiple-indicator models - 6. The method of back calculation as a means of estimating incidence - 7. Compartmental modelling and stochastic dynamic systems - 8. Dynamic models in drug epidemiology - 9. Structural equations and path analyses - 10. Modelling infectious diseases and other health consequences - 11. Developing multinational scenario analyses of health impacts of drug use - 12. Modelling the health-care costs of drug-use-related disease - 13. Economic market models.

Quorum Sensing

Quorum Sensing
Methods and Protocols

by Livia Leoni,Giordano Rampioni

  • Publisher : Humana Press
  • Release : 2018-08-30
  • Pages : 375
  • ISBN : 9781493984480
  • Language : En, Es, Fr & De
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This detailed volume provides scientists interested in quorum sensing with a broad spectrum of methods and protocols useful for studying bacterial communication processes at the chemico-physical, molecular, and physiological level. Divided into three sections, the content covers detection and quantification of quorum sensing signal molecules, methods for the studying of quorum sensing at the molecular, physiological, and population level, as well as identification and characterization of anti-quorum sensing agents. Written for the highly successful Methods in Molecular Biology series, chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step, readily reproducible laboratory protocols, and tips on troubleshooting and avoiding known pitfalls. Authoritative and cutting-edge, Quorum Sensing: Methods and Protocols serves as a comprehensive guide to the most important methodology currently available in the field.