# 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

## Drug Resistance in Cancer

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

Publsiher | : Cambridge University Press |

Total Pages | : 247 |

Release | : 1998-10-08 |

ISBN 10 | : 0521482739 |

ISBN 13 | : 9780521482738 |

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.

## Numerical PDE Analysis of Retinal Neovascularization

Author | : William E. Schiesser |

Publsiher | : Academic Press |

Total Pages | : 144 |

Release | : 2019-06-14 |

ISBN 10 | : 0128184531 |

ISBN 13 | : 9780128184530 |

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

**Numerical PDE Analysis of Retinal Neovascularization Book Review:**

Numerical PDE Analysis of Retinal Neovascularization Mathematical Model Computer Implementation in R provides a methodology for the analysis of neovascularization (formation of blood capillaries) in the retina. It describes the starting point—a system of three partial differential equations (PDEs)—that define the evolution of (1) capillary tip density, (2) blood capillary density and (3) concentration of vascular endothelial growth factor (VEGF) in the retina as a function of space (distance along the retina), x, and time, t, the three PDE dependent variables for (1), (2) and (3), and designated as u1(x, t), u2(x, t), u3(x, t), amongst other topics. 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

## 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.

## Differential Equations

Author | : Bruce P. Conrad |

Publsiher | : Unknown |

Total Pages | : 462 |

Release | : 2003 |

ISBN 10 | : 1928374650XXX |

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.

## 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.

## Ordinary and Partial Differential Equations

Author | : M.D.Raisinghania |

Publsiher | : S. Chand Publishing |

Total Pages | : 135 |

Release | : 2013 |

ISBN 10 | : 9385676164 |

ISBN 13 | : 9789385676161 |

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

**Ordinary and Partial Differential Equations Book Review:**

This book has been designed for Undergraduate (Honours) and Postgraduate students of various Indian Universities.A set of objective problems has been provided at the end of each chapter which will be useful to the aspirants of competitve examinations

## 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.

## 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 | : 135 |

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.

## Handbook of African Medicinal Plants Second Edition

Author | : Maurice M. Iwu |

Publsiher | : CRC Press |

Total Pages | : 506 |

Release | : 2014-02-04 |

ISBN 10 | : 1466571985 |

ISBN 13 | : 9781466571983 |

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

**Handbook of African Medicinal Plants Second Edition Book Review:**

With over 50,000 distinct species in sub-Saharan Africa alone, the African continent is endowed with an enormous wealth of plant resources. While more than 25 percent of known species have been used for several centuries in traditional African medicine for the prevention and treatment of diseases, Africa remains a minor player in the global natural products market largely due to lack of practical information. This updated and expanded second edition of the Handbook of African Medicinal Plants provides a comprehensive review of more than 2,000 species of plants employed in indigenous African medicine, with full-color photographs and references from over 1,100 publications. The first part of the book contains a catalog of the plants used as ingredients for the preparation of traditional remedies, including their medicinal uses and the parts of the plant used. This is followed by a pharmacognostical profile of 170 of the major herbs, with a brief description of the diagnostic features of the leaves, flowers, and fruits and monographs with botanical names, common names, synonyms, African names, habitat and distribution, ethnomedicinal uses, chemical constituents, and reported pharmacological activity. The second part of the book provides an introduction to African traditional medicine, outlining African cosmology and beliefs as they relate to healing and the use of herbs, health foods, and medicinal plants. This book presents scientific documentation of the correlation between the observed folk use and demonstrable biological activity, as well as the characterized constituents of the plants.

## Bibliography of Agriculture

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 135 |

Release | : 1972 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : OSU:32435060800299 |

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

**Bibliography of Agriculture Book Review:**

## Mathematical Modeling Approach To Infectious Diseases A Cross Diffusion Pde Models For Epidemiology

Author | : Schiesser William E |

Publsiher | : World Scientific |

Total Pages | : 460 |

Release | : 2018-06-27 |

ISBN 10 | : 9813238801 |

ISBN 13 | : 9789813238800 |

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

**Mathematical Modeling Approach To Infectious Diseases A Cross Diffusion Pde Models For Epidemiology Book Review:**

## Stochastic Processes in Cell Biology

Author | : Paul C. Bressloff |

Publsiher | : Springer |

Total Pages | : 679 |

Release | : 2014-08-22 |

ISBN 10 | : 3319084887 |

ISBN 13 | : 9783319084886 |

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

**Stochastic Processes in Cell Biology Book Review:**

This book develops the theory of continuous and discrete stochastic processes within the context of cell biology. A wide range of biological topics are covered including normal and anomalous diffusion in complex cellular environments, stochastic ion channels and excitable systems, stochastic calcium signaling, molecular motors, intracellular transport, signal transduction, bacterial chemotaxis, robustness in gene networks, genetic switches and oscillators, cell polarization, polymerization, cellular length control, and branching processes. The book also provides a pedagogical introduction to the theory of stochastic process – Fokker Planck equations, stochastic differential equations, master equations and jump Markov processes, diffusion approximations and the system size expansion, first passage time problems, stochastic hybrid systems, reaction-diffusion equations, exclusion processes, WKB methods, martingales and branching processes, stochastic calculus, and numerical methods. This text is primarily aimed at graduate students and researchers working in mathematical biology and applied mathematicians interested in stochastic modeling. Applied probabilists and theoretical physicists should also find it of interest. It assumes no prior background in statistical physics and introduces concepts in stochastic processes via motivating biological applications. The book is highly illustrated and contains a large number of examples and exercises that further develop the models and ideas in the body of the text. It is based on a course that the author has taught at the University of Utah for many years.

## New and Future Developments in Microbial Biotechnology and Bioengineering

Author | : Vijai G. Gupta,Anita Pandey |

Publsiher | : Elsevier |

Total Pages | : 462 |

Release | : 2019-06-15 |

ISBN 10 | : 0444635041 |

ISBN 13 | : 9780444635044 |

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

**New and Future Developments in Microbial Biotechnology and Bioengineering Book Review:**

New and Future Developments in Microbial Biotechnology and Bioengineering: Microbial Secondary Metabolites Biochemistry and Applications examines the areas of biotechnology and chemical engineering, covering aspects of plants, bacteria and machines, and using microbes as factories. The book is aimed at undergraduates, post-graduates and researchers studying microbial secondary metabolites, and is an invaluable reference source for biochemical engineers working in biotechnology, manipulating microbes, and developing new uses for bacteria and fungi. The applications of secondary metabolites in biotechnology, pharmaceuticals, diagnostics and medical device development are also extensively covered. The book integrates the aforementioned frontline branches into an interdisciplinary research work to satisfy those working in biotechnology, chemical engineering, alternative fuel development, diagnostics and pharmaceuticals. Chapters related to important research work on applications of microbial secondary metabolites are written by specialists in the various disciplines from the international community. Compiles the latest developments in the area of microbial secondary metabolites Authored by the top international researchers in this area Includes information related to nearly all areas of a microbial secondary metabolites system

## 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 Science and Applications of Synthetic and Systems Biology

Author | : Institute of Medicine,Board on Global Health,Forum on Microbial Threats |

Publsiher | : National Academies Press |

Total Pages | : 570 |

Release | : 2011-12-30 |

ISBN 10 | : 0309219396 |

ISBN 13 | : 9780309219396 |

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

**The Science and Applications of Synthetic and Systems Biology Book Review:**

Many potential applications of synthetic and systems biology are relevant to the challenges associated with the detection, surveillance, and responses to emerging and re-emerging infectious diseases. On March 14 and 15, 2011, the Institute of Medicine's (IOM's) Forum on Microbial Threats convened a public workshop in Washington, DC, to explore the current state of the science of synthetic biology, including its dependency on systems biology; discussed the different approaches that scientists are taking to engineer, or reengineer, biological systems; and discussed how the tools and approaches of synthetic and systems biology were being applied to mitigate the risks associated with emerging infectious diseases. The Science and Applications of Synthetic and Systems Biology is organized into sections as a topic-by-topic distillation of the presentations and discussions that took place at the workshop. Its purpose is to present information from relevant experience, to delineate a range of pivotal issues and their respective challenges, and to offer differing perspectives on the topic as discussed and described by the workshop participants. This report also includes a collection of individually authored papers and commentary.

## Virus Dynamics Mathematical Principles of Immunology and Virology

Author | : Martin Nowak,Robert M. May |

Publsiher | : Oxford University Press, UK |

Total Pages | : 250 |

Release | : 2000-11-23 |

ISBN 10 | : 0191588512 |

ISBN 13 | : 9780191588518 |

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

**Virus Dynamics Mathematical Principles of Immunology and Virology Book Review:**

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

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.