# ODE/PDE Analysis of Antibiotic/Antimicrobial Resistance

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## ODE PDE Analysis of Antibiotic Antimicrobial Resistance

Author | : William E. Schiesser |

Publsiher | : Academic Press |

Total Pages | : 122 |

Release | : 2020-08-24 |

ISBN 10 | : 0128242507 |

ISBN 13 | : 9780128242506 |

Language | : EN, FR, DE, ES & NL |

**ODE PDE Analysis of Antibiotic Antimicrobial Resistance Book Review:**

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

Author | : Anonim |

Publsiher | : Academic Press |

Total Pages | : 1589 |

Release | : 2020-08-24 |

ISBN 10 | : 0128160780 |

ISBN 13 | : 9780128160787 |

Language | : EN, FR, DE, ES & NL |

**Systems Medicine Book Review:**

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

Author | : Anonim |

Publsiher | : Elsevier |

Total Pages | : 4536 |

Release | : 2017-06-03 |

ISBN 10 | : 0128032014 |

ISBN 13 | : 9780128032015 |

Language | : EN, FR, DE, ES & NL |

**Comprehensive Medicinal Chemistry III Book Review:**

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

## An Introduction to Undergraduate Research in Computational and Mathematical Biology

Author | : Hannah Callender Highlander,Alex Capaldi,Carrie Diaz Eaton |

Publsiher | : Springer Nature |

Total Pages | : 469 |

Release | : 2020-02-17 |

ISBN 10 | : 303033645X |

ISBN 13 | : 9783030336455 |

Language | : EN, FR, DE, ES & NL |

**An Introduction to Undergraduate Research in Computational and Mathematical Biology Book Review:**

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.

## Drug Resistance in Cancer

Author | : James H. Goldie,Andrew J. Coldman |

Publsiher | : Cambridge University Press |

Total Pages | : 256 |

Release | : 2009-06-11 |

ISBN 10 | : 9780521111706 |

ISBN 13 | : 0521111706 |

Language | : EN, FR, DE, ES & NL |

**Drug Resistance in Cancer Book Review:**

An accessible and sophisticated account of the biological mechanisms of drug resistance in cancer and their mathematical modelling.

## Applications of Dynamical Systems in Biology and Medicine

Author | : Trachette Jackson,Ami Radunskaya |

Publsiher | : Springer |

Total Pages | : 233 |

Release | : 2015-07-06 |

ISBN 10 | : 1493927825 |

ISBN 13 | : 9781493927821 |

Language | : EN, FR, DE, ES & NL |

**Applications of Dynamical Systems in Biology and Medicine Book Review:**

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 Root Canal Biofilm

Author | : Luis E. Chávez de Paz,Christine M. Sedgley,Anil Kishen |

Publsiher | : Springer |

Total Pages | : 366 |

Release | : 2015-10-20 |

ISBN 10 | : 3662474158 |

ISBN 13 | : 9783662474150 |

Language | : EN, FR, DE, ES & NL |

**The Root Canal Biofilm Book Review:**

This book presents the current state of research on the basic scientific aspects of root canal biofilm biology within a clinically applicable context. Root canal biofilms are complex polymicrobial structures adhering to the root canal surface that are formed by microorganisms invading the pulpal space of teeth, and are associated with persistent root canal infections. Concerted efforts to study root canal biofilms have been made in the past decade, resulting in the publication of observational and experimental studies that detail the morphology and biology of these structures in infected root canals. In addition to confirming that bacteria in root canals do not exist in free-floating planktonic states as previously assumed, this new information on root canal biofilm infections has provided an opportunity to re-evaluate conventional clinical protocols and improve endodontic therapeutic measures.

## The Nature of Statistical Learning Theory

Author | : Vladimir N. Vapnik |

Publsiher | : Springer Science & Business Media |

Total Pages | : 188 |

Release | : 2013-04-17 |

ISBN 10 | : 1475724403 |

ISBN 13 | : 9781475724400 |

Language | : EN, FR, DE, ES & NL |

**The Nature of Statistical Learning Theory Book Review:**

The aim of this book is to discuss the fundamental ideas which lie behind the statistical theory of learning and generalization. It considers learning from the general point of view of function estimation based on empirical data. Omitting proofs and technical details, the author concentrates on discussing the main results of learning theory and their connections to fundamental problems in statistics. These include: - the general setting of learning problems and the general model of minimizing the risk functional from empirical data - a comprehensive analysis of the empirical risk minimization principle and shows how this allows for the construction of necessary and sufficient conditions for consistency - non-asymptotic bounds for the risk achieved using the empirical risk minimization principle - principles for controlling the generalization ability of learning machines using small sample sizes - introducing a new type of universal learning machine that controls the generalization ability.

## Persister Cells and Infectious Disease

Author | : Kim Lewis |

Publsiher | : Springer Nature |

Total Pages | : 295 |

Release | : 2019-11-13 |

ISBN 10 | : 3030252418 |

ISBN 13 | : 9783030252410 |

Language | : EN, FR, DE, ES & NL |

**Persister Cells and Infectious Disease Book Review:**

This volume is a collection of chapters from the leading experts in the relatively new and burgeoning field of persister cell studies. Persisters play a leading role in the recalcitrance of chronic infections, and enable the development of classical antibiotic resistance. The focus of the book is on studies that provide an understanding of the mechanisms of persister formation, antibiotic tolerance and role in disease, at the molecular level.

## Dictionary of Pharmaceutical Medicine

Author | : Gerhard Nahler |

Publsiher | : Springer Science & Business Media |

Total Pages | : 179 |

Release | : 2013-06-29 |

ISBN 10 | : 3709140161 |

ISBN 13 | : 9783709140161 |

Language | : EN, FR, DE, ES & NL |

**Dictionary of Pharmaceutical Medicine Book Review:**

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.

## Differential Equations

Author | : Bruce P. Conrad |

Publsiher | : Unknown |

Total Pages | : 462 |

Release | : 2003 |

ISBN 10 | : |

ISBN 13 | : UCSC:32106011431795 |

Language | : EN, FR, DE, ES & NL |

**Differential Equations Book Review:**

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.

## Dermal Exposure

Author | : World Health Organization |

Publsiher | : Unknown |

Total Pages | : 500 |

Release | : 2015-04-20 |

ISBN 10 | : 9789241572422 |

ISBN 13 | : 9241572426 |

Language | : EN, FR, DE, ES & NL |

**Dermal Exposure Book Review:**

This Environmental Health Criteria (EHC) series publication addresses dermal exposure to chemicals. It describes sources and pathways of dermal exposure, models and tools to estimate dermal exposure and methods for dermal exposure prevention and reduction. Furthermore, the EHC introduces skin diseases associated with dermal exposure. This EHC aims to provide information to national regulatory authorities to assist in conducting health risk assessments and managing the risk involving dermal exposure to chemicals.

## The Individual Microbe Single Cell Analysis and Agent Based Modelling

Author | : Johan H. J. Leveau,Ferdi L. Hellweger,Jan-Ulrich Kreft,Clara Prats,Weiwen Zhang |

Publsiher | : Frontiers Media SA |

Total Pages | : 329 |

Release | : 2019-02-19 |

ISBN 10 | : 2889457494 |

ISBN 13 | : 9782889457496 |

Language | : EN, FR, DE, ES & NL |

**The Individual Microbe Single Cell Analysis and Agent Based Modelling Book Review:**

Recent technological advances in single-cell microbiology, using flow cytometry, microfluidics, x-ray fluorescence microprobes, and single-cell -omics, allow for the observation of individuals within populations. Simultaneously, individual-based models (or more generally agent-based models) allow for individual microbes to be simulated. Bridging these techniques forms the foundation of individual-based ecology of microbes (µIBE). µIBE has elucidated genetic and phenotypic heterogeneity that has important consequences for a number of human interests, including antibiotic or biocide resistance, the productivity and stability of industrial fermentations, the efficacy of food preservatives, and the potential of pathogens to cause disease. Individual-based models can help us to understand how these sets of traits of individual microbes influence the above. This eBook compiles all publications from a recent Research Topic in Frontiers in Microbiology. It features recent research where individual observational and/or modelling techniques are applied to gain unique insights into the ecology of microorganisms. The Research Topic “The Individual Microbe: Single-Cell Analysis and Agent-Based Modelling” arose from the 2016 @ASM conference of the same name hosted by the American Society for Microbiology at its headquarters in Washington, D.C. We are grateful to ASM for funding and hosting this conference.

## Mathematical Models in Biology

Author | : Leah Edelstein-Keshet |

Publsiher | : SIAM |

Total Pages | : 586 |

Release | : 1988 |

ISBN 10 | : 9780898719147 |

ISBN 13 | : 0898719143 |

Language | : EN, FR, DE, ES & NL |

**Mathematical Models in Biology Book Review:**

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.

## Cancer Drug Resistance

Author | : Beverly A. Teicher |

Publsiher | : Springer Science & Business Media |

Total Pages | : 617 |

Release | : 2007-11-09 |

ISBN 10 | : 1597450359 |

ISBN 13 | : 9781597450355 |

Language | : EN, FR, DE, ES & NL |

**Cancer Drug Resistance Book Review:**

Leading experts summarize and synthesize the latest discoveries concerning the changes that occur in tumor cells as they develop resistance to anticancer drugs, and suggest new approaches to preventing and overcoming it. The authors review physiological resistance based upon tumor architecture, cellular resistance based on drug transport, epigenetic changes that neutralize or bypass drug cytotoxicity, and genetic changes that alter drug target molecules by decreasing or eliminating drug binding and efficacy. Highlights include new insights into resistance to antiangiogenic therapies, oncogenes and tumor suppressor genes in therapeutic resistance, cancer stem cells, and the development of more effective therapies. There are also new findings on tumor immune escape mechanisms, gene amplification in drug resistance, the molecular determinants of multidrug resistance, and resistance to taxanes and Herceptin.

## Adaptive Method of Lines

Author | : A, Vande Wouwer,Ph. Saucez,W.E. Schiesser |

Publsiher | : CRC Press |

Total Pages | : 432 |

Release | : 2001-04-18 |

ISBN 10 | : 1420035614 |

ISBN 13 | : 9781420035612 |

Language | : EN, FR, DE, ES & NL |

**Adaptive Method of Lines Book Review:**

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.

## Quorum Sensing

Author | : Livia Leoni,Giordano Rampioni |

Publsiher | : Humana Press |

Total Pages | : 375 |

Release | : 2018-08-30 |

ISBN 10 | : 9781493984480 |

ISBN 13 | : 1493984489 |

Language | : EN, FR, DE, ES & NL |

**Quorum Sensing Book Review:**

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.

## Theoretical and Applied Aspects of Systems Biology

Author | : Fabricio Alves Barbosa da Silva,Nicolas Carels,Floriano Paes Silva Junior |

Publsiher | : Springer |

Total Pages | : 259 |

Release | : 2018-06-21 |

ISBN 10 | : 3319749749 |

ISBN 13 | : 9783319749747 |

Language | : EN, FR, DE, ES & NL |

**Theoretical and Applied Aspects of Systems Biology Book Review:**

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

Author | : Elizabeth S. Allman,Elizabeth S Allman,John A. Rhodes |

Publsiher | : Cambridge University Press |

Total Pages | : 370 |

Release | : 2004 |

ISBN 10 | : 9780521525862 |

ISBN 13 | : 0521525861 |

Language | : EN, FR, DE, ES & NL |

**Mathematical Models in Biology Book Review:**

Linear and non-linear models of populations, molecular evolution, phylogenetic tree construction, genetics, and infectious diseases are presented with minimal prerequisites.

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

Author | : Gerardo Chowell,James M. Hyman |

Publsiher | : Springer |

Total Pages | : 356 |

Release | : 2016-07-27 |

ISBN 10 | : 331940413X |

ISBN 13 | : 9783319404134 |

Language | : EN, FR, DE, ES & NL |

**Mathematical and Statistical Modeling for Emerging and Re emerging Infectious Diseases Book Review:**

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.