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Mathematical and Statistical Modeling for Emerging and Re-emerging Infectious Diseases
by Gerardo Chowell James M. HymanThe 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.
Mathematical and Statistical Models and Methods in Reliability
by N. Balakrishnan M. S. Nikulin V. V. RykovThe book is a selection of invited chapters, all of which deal with various aspects of mathematical and statistical models and methods in reliability. Written by renowned experts in the field of reliability, the contributions cover a wide range of applications, reflecting recent developments in areas such as survival analysis, aging, lifetime data analysis, artificial intelligence, medicine, carcinogenesis studies, nuclear power, financial modeling, aircraft engineering, quality control, and transportation. Mathematical and Statistical Models and Methods in Reliability is an excellent reference text for researchers and practitioners in applied probability and statistics, industrial statistics, engineering, medicine, finance, transportation, the oil and gas industry, and artificial intelligence.
Mathematical and Statistical Skills in the Biopharmaceutical Industry: A Pragmatic Approach (Chapman & Hall/CRC Biostatistics Series)
by Arkadiy PitmanMathematical and Statistical Skills in the Biopharmaceutical Industry: A Pragmatic Approach describes a philosophy of efficient problem solving showcased using examples pertinent to the biostatistics function in clinical drug development. It was written to share a quintessence of the authors’ experiences acquired during many years of relevant work in the biopharmaceutical industry. The book will be useful will be useful for biopharmaceutical industry statisticians at different seniority levels and for graduate students who consider a biostatistics-related career in this industry. Features: Describes a system of principles for pragmatic problem solving in clinical drug development. Discusses differences in the work of a biostatistician in small pharma and big pharma. Explains the importance/relevance of statistical programming and data management for biostatistics and necessity for integration on various levels. Describes some useful statistical background that can be capitalized upon in the drug development enterprise. Explains some hot topics and current trends in biostatistics in simple, non-technical terms. Discusses incompleteness of any system of standard operating procedures, rules and regulations. Provides a classification of scoring systems and proposes a novel approach for evaluation of the safety outcome for a completed randomized clinical trial. Presents applications of the problem solving philosophy in a highly problematic transfusion field where many investigational compounds have failed. Discusses realistic planning of open-ended projects.
Mathematical and Theoretical Neuroscience: Cell, Network And Data Analysis (Springer INdAM #24)
by Giovanni Naldi Thierry NieusThis volume gathers contributions from theoretical, experimental and computational researchers who are working on various topics in theoretical/computational/mathematical neuroscience. The focus is on mathematical modeling, analytical and numerical topics, and statistical analysis in neuroscience with applications. The following subjects are considered: mathematical modelling in Neuroscience, analytical and numerical topics; statistical analysis in Neuroscience; Neural Networks; Theoretical Neuroscience. The book is addressed to researchers involved in mathematical models applied to neuroscience.
Mathematical, Computational and Experimental T Cell Immunology
by Carmen Molina-París Grant LytheMathematical, statistical, and computational methods enable multi-disciplinary approaches that catalyse discovery. Together with experimental methods, they identify key hypotheses, define measurable observables and reconcile disparate results. This volume collects a representative sample of studies in T cell immunology that illustrate the benefits of modelling-experimental collaborations and which have proven valuable or even ground-breaking. Studies include thymic selection, T cell repertoire diversity, T cell homeostasis in health and disease, T cell-mediated immune responses, T cell memory, T cell signalling and analysis of flow cytometry data sets. Contributing authors are leading scientists in the area of experimental, computational, and mathematical immunology. Each chapter includes state-of-the-art and pedagogical content, making this book accessible to readers with limited experience in T cell immunology and/or mathematical and computational modelling.
Mathematics Explained for Healthcare Practitioners
by Derek Haylock Paul WarburtonIf you find mathematics a struggle, or if mathematics makes you panic - whether you′re a student preparing for a calculations test, or a qualified healthcare professional - this is the book for you. Its focus is first and foremost on helping you develop a proper and lasting understanding of mathematical concepts and processes in a healthcare context, with an emphasis on developing mental strategies to reinforce your feeling for number and numerical relationships. Clear, accessible chapters take you step-by-step through specific sets of objectives, and once you feel you have fully mastered a particular mathematical process, you′re encouraged to practise your skills through a range of practical examples. Each chapter also contains a ′Spot the Errors′ feature designed to reflect the busy, pressurised healthcare environment. Written by Derek Haylock, a best-selling mathematics educator, and Paul Warburton, co-ordinator of the Non-Medical Prescribing programme at Edge Hill University, the book is directly linked to the NMC′s competencies and will give you the confidence to perform the safe, error-free calculations required of all healthcare professionals.
Mathematics as a Laboratory Tool: Dynamics, Delays and Noise
by John Milton Toru OhiraThe second edition of Mathematics as a Laboratory Tool reflects the growing impact that computational science is having on the career choices made by undergraduate science and engineering students. The focus is on dynamics and the effects of time delays and stochastic perturbations (“noise”) on the regulation provided by feedback control systems. The concepts are illustrated with applications to gene regulatory networks, motor control, neuroscience and population biology. The presentation in the first edition has been extended to include discussions of neuronal excitability and bursting, multistability, microchaos, Bayesian inference, second-order delay differential equations, and the semi-discretization method for the numerical integration of delay differential equations. Every effort has been made to ensure that the material is accessible to those with a background in calculus. The text provides advanced mathematical concepts such as the Laplace and Fourier integral transforms in the form of Tools. Bayesian inference is introduced using a number of detective-type scenarios including the Monty Hall problem.
Mathematics for Health Sciences: A Comprehensive Approach
by Joel HelmsSelect topics according to your mathematical ability and chosen healthcare profession. Begin with a basic math review or move right to deeper concepts, including algebra and geometry, linear equations and graphing, dilutions, solutions, concentrations, dosage calculations, and more! Learn at your own pace with this easy-to-use math text specifically for the health sciences.
Mathematics for Veterinary Medical Technicians (Third Edition)
by Edward M. Stumpf Frederick R. Fritz William W. BradfordThe text provides a one-semester course in the basics of mathematics needed for Veterinary Technicians and Assistants.
Mathematics for the Life Sciences
by Louis J. Gross Suzanne Lenhart Erin N. BodineAn accessible undergraduate textbook on the essential math concepts used in the life sciencesThe life sciences deal with a vast array of problems at different spatial, temporal, and organizational scales. The mathematics necessary to describe, model, and analyze these problems is similarly diverse, incorporating quantitative techniques that are rarely taught in standard undergraduate courses. This textbook provides an accessible introduction to these critical mathematical concepts, linking them to biological observation and theory while also presenting the computational tools needed to address problems not readily investigated using mathematics alone.Proven in the classroom and requiring only a background in high school math, Mathematics for the Life Sciences doesn't just focus on calculus as do most other textbooks on the subject. It covers deterministic methods and those that incorporate uncertainty, problems in discrete and continuous time, probability, graphing and data analysis, matrix modeling, difference equations, differential equations, and much more. The book uses MATLAB throughout, explaining how to use it, write code, and connect models to data in examples chosen from across the life sciences.Provides undergraduate life science students with a succinct overview of major mathematical concepts that are essential for modern biologyCovers all the major quantitative concepts that national reports have identified as the ideal components of an entry-level course for life science studentsProvides good background for the MCAT, which now includes data-based and statistical reasoningExplicitly links data and math modelingIncludes end-of-chapter homework problems, end-of-unit student projects, and select answers to homework problemsUses MATLAB throughout, and MATLAB m-files with an R supplement are available onlinePrepares students to read with comprehension the growing quantitative literature across the life sciencesA solutions manual for professors and an illustration package is available
Mathematics of Epidemics on Networks
by István Z. Kiss Joel C. Miller Péter L. SimonThis textbook provides an exciting new addition to the area of network science featuring a stronger and more methodical link of models to their mathematical origin and explains how these relate to each other with special focus on epidemic spread on networks. The content of the book is at the interface of graph theory, stochastic processes and dynamical systems. The authors set out to make a significant contribution to closing the gap between model development and the supporting mathematics. This is done by: Summarising and presenting the state-of-the-art in modeling epidemics on networks with results and readily usable models signposted throughout the book; Presenting different mathematical approaches to formulate exact and solvable models; Identifying the concrete links between approximate models and their rigorous mathematical representation; Presenting a model hierarchy and clearly highlighting the links between model assumptions and model complexity; Providing a reference source for advanced undergraduate students, as well as doctoral students, postdoctoral researchers and academic experts who are engaged in modeling stochastic processes on networks; Providing software that can solve differential equation models or directly simulate epidemics on networks. Replete with numerous diagrams, examples, instructive exercises, and online access to simulation algorithms and readily usable code, this book will appeal to a wide spectrum of readers from different backgrounds and academic levels. Appropriate for students with or without a strong background in mathematics, this textbook can form the basis of an advanced undergraduate or graduate course in both mathematics and other departments alike.
Mathematics of Public Health: Mathematical Modelling from the Next Generation (Fields Institute Communications #88)
by Jianhong Wu Jummy DavidThis volume addresses SDG 3 from a mathematical standpoint, sharing novel perspectives of existing communicable disease modelling technologies of the next generation and disseminating new developments in modelling methodologies and simulation techniques. These methodologies are important for training and research in communicable diseases and can be applied to other threats to human health. The contributions contained in this collection/book cover a range of modelling techniques that have been and may be used to support decision-making on critical health related issues such as: Resource allocation Impact of climate change on communicable diseases Interaction of human behaviour change, and disease spread Disease outbreak trajectories projection Public health interventions evaluation Preparedness and mitigation of emerging and re-emerging infectious diseases outbreaks Development of vaccines and decisions around vaccine allocation and optimization The diseases and public health issues in this volume include, but are not limited to COVID-19, HIV, Influenza, antimicrobial resistance (AMR), the opioid epidemic, Lyme Disease, Zika, and Malaria. In addition, this volume compares compartmental models, agent-based models, machine learning and network. Readers have an opportunity to learn from the next generation perspective of evolving methodologies and algorithms in modelling infectious diseases, the mathematics behind them, the motivation for them, and some applications to supporting critical decisions on prevention and control of communicable diseases. This volume was compiled from the weekly seminar series organized by the Mathematics for Public Health (MfPH) Next Generation Network. This network brings together the next generation of modellers from across Canada and the world, developing the latest mathematical models, modeling methodologies, and analytical and simulation tools for communicable diseases of global public health concerns. The weekly seminar series provides a unique forum for this network and their invited guest speakers to share their perspectives on the status and future directions of mathematics of public health.
Mathematics of Public Health: Proceedings of the Seminar on the Mathematical Modelling of COVID-19 (Fields Institute Communications #85)
by Jianhong Wu V. Kumar MurtyCurated by the Fields Institute for Research in Mathematical Sciences from their COVID-19 Math Modelling Seminars, this first in a series of volumes on the mathematics of public health allows readers to access the dominant ideas and techniques being used in this area, while indicating problems for further research. This work brings together experts in mathematical modelling from across Canada and the world, presenting the latest modelling methods as they relate to the COVID-19 pandemic. A primary aim of this book is to make the content accessible so that researchers share the core methods that may be applied elsewhere. The mathematical theories and technologies in this book can be used to support decision makers on critical issues such as projecting outbreak trajectories, evaluating public health interventions for infection prevention and control, developing optimal strategies to return to a new normal, and designing vaccine candidates and informing mass immunization program. Topical coverage includes: basic susceptible-exposed-infectious-recovered (SEIR) modelling framework modified and applied to COVID-19 disease transmission dynamics; nearcasting and forecasting for needs of critical medical resources including personal protective equipment (PPE); predicting COVID-19 mortality; evaluating effectiveness of convalescent plasma treatment and the logistic implementation challenges; estimating impact of delays in contact tracing; quantifying heterogeneity in contact mixing and its evaluation with social distancing; modelling point of care diagnostics of COVID-19; and understanding non-reporting and underestimation. Further, readers will have the opportunity to learn about current modelling methodologies and technologies for emerging infectious disease outbreaks, pandemic mitigation rapid response, and the mathematics behind them. The volume will help the general audience and experts to better understand the important role that mathematics has been playing during this on-going crisis in supporting critical decision-making by governments and public health agencies.
Mathematik der Pandemie
by Andreas Deutsch Dieter Wolf-Gladrow Simon SygaDie COVID-19-Pandemie hat weltweit dramatische Folgen. Mathematische Modelle spielen bei ihrer Bewertung eine zentrale Rolle: Sie sollen die Wirkung von Maßnahmen abschätzen, die oft mit Einschränkungen individueller Freiheiten einhergehen. Umso mehr sollte das Wissen um die Mathematik der Pandemie nicht nur Experten überlassen bleiben. Dieses Buch erläutert grundlegende Begriffe und Modelle, und klärt weitverbreitete Missverständnisse auf. Das Buch gibt insbesondere Antwort auf folgende Fragen:Was sagen Kennzahlen wie Inzidenz, Reproduktionszahl, Hospitalisierungsrate oder Impfquote über die Pandemie?Was ist der Unterschied von linearem und exponentiellem Wachstum?Was ist Herdenimmunität? Warum werden sich trotz Herdenimmunität fast alle Ungeimpften anstecken?Was ist der Effekt von Kontaktbeschränkungen und Impfung?Warum sind Vorhersagen in der Pandemie schwierig?
Maths, Physics and Clinical Measurement for Anaesthesia and Intensive Care
by David Hozefa Ebrahim Ashton-ClearyMaths, physics and clinical measurement hold a degree of mystery and trepidation for many working and training in anaesthesia, intensive care and theatre practice. This important new book covers these core topics in a logical and structured format, creating a more enjoyable learning experience that is accessible and easy to digest. Each chapter opens with a set of learning objectives and summary of chapter contents. Following this is a clinical scenario that relates to the themes of the chapter and a number of hypothetical questions relating to the scenario are laid-out. Clinical pearls are presented in boxes for more advanced learning opportunities. Each chapter closes with a set of MCQ or SBA self-test questions to test the readers' knowledge of the chapter. This book covers everything needed for the FFICM and FRCA exams, making it an essential text for exam candidates, tutors, and those working in theatres, anaesthesia and the ICU.
Matrices, Statistics and Big Data: Selected Contributions from IWMS 2016 (Contributions to Statistics)
by S. Ejaz Ahmed Simo Puntanen Francisco CarvalhoThis volume features selected, refereed papers on various aspects of statistics, matrix theory and its applications to statistics, as well as related numerical linear algebra topics and numerical solution methods, which are relevant for problems arising in statistics and in big data. The contributions were originally presented at the 25th International Workshop on Matrices and Statistics (IWMS 2016), held in Funchal (Madeira), Portugal on June 6-9, 2016. The IWMS workshop series brings together statisticians, computer scientists, data scientists and mathematicians, helping them better understand each other’s tools, and fostering new collaborations at the interface of matrix theory and statistics.
Matrix Head and Neck Reconstruction: Scalable Reconstructive Approaches Organized by Defect Location
by Brendan C. Stack Mauricio A. Moreno Jennings R. Boyette Emre A. VuralHead and neck reconstruction can be challenging due to the anatomical complexity of the area, its impact upon function, and the common need for adjuvant treatment postoperatively in cases of malignancy. Furthermore, the results are very visible and may significantly affect the patient’s ability to reintegrate socially. This unique surgical atlas is organized as a matrix of options, from simple to complex, covering all described anatomical areas of the head and neck. The organization of defects and reconstructive options, combined with illustrations and high-resolution intraoperative photography, make this the premier reconstructive reference that will be accessible when difficult reconstructive situations arise. The matrix concept is a unique approach to organizing and presenting facial, head and neck defects. Most clinical cases present as a defect or as the potential for a defect after a resection. The matrix approach is a human cognitive approach to problem solving. This atlas allows the reader to search out their potential defects and study the possible reconstructive options available to them. This spectrum of possibilities may help the surgeon to decide whether to manage on the case on their own or refer it for more expertise. It is also a visible tool to assist surgeons in reviewing options and making decisions with patients in the informed consent process.The matrix presents defects with internal consistency throughout the text and is organized in an anatomic order. Each anatomic sub-site is further subdivided into recognized clinical sub-units, and each potential defect is then illustrated in a standardized fashion to promote clarity and uniformity for easy reference. Commonly associated defects are linked. Each specific defect is then addressed, presenting reconstructive options of increasing complexity, with photography to show a staged approach to pre-reconstruction, site preparation, flap selection, flap inset, and final results acutely post-operatively and at a delayed time point.Matrix Head and Neck Reconstruction combines and distills the work of major head and neck reconstruction and facial plastic surgery to provide a broad and deep resource that is highly pictorial and practical in providing a scalable approach to reconstruction.
Matrix Metalloproteinase Inhibitors
by Satya Prakash GuptaMatrix metalloproteinases (MMPs) are proteolytic enzymes that are involved in many physiological and pathological processes. The field of MMP research is very important due to the implications of the distinct paralogs in both human physiology and pathology. Over-activation of these enzymes results in tissue degradation, producing a wide array of disease processes such as rheumatoid arthritis, osteoarthritis, tumor growth and metastasis, multiple sclerosis, congestive heart failure, and others. Thus MMP inhibitors are candidates for therapeutic agents to combat a number of diseases. The present book discusses the design and development of different classes of inhibitors of important classes of MMPs, such as gelatinases and collagenases. The articles focus specifically on structure-activity relationships of all classes of compounds and on their modes of action and specificity of binding with the receptors based on experimental and theoretical studies. These studies constitute a valuable asset for all those involved in drug development.
Matrix Pathobiology and Angiogenesis (Biology of Extracellular Matrix #12)
by Evangelia Papadimitriou Constantinos M. MikelisIn the vasculature, the extracellular matrix (ECM) is involved in the regulation of angiogenesis, vascular mechanosensing, and blood vessel stability. This book aims to provide the reader with an overview of the various roles of the ECM during angiogenesis and covers its important role for the maintenance of vascular integrity, capillary and arterial morphogenesis, as well as lymphangiogenesis. Furthermore, aspects of regulation of endothelial cell and pericyte functions by the ECM under physiological and pathological conditions are discussed. In addition, the reader will learn more about different approaches to exploit ECM molecules for designing therapeutic approaches or as biomarkers to improve therapeutic decisions. Comprehensive and cutting-edge, Matrix Pathobiology and Angiogenesis is a valuable resource for experienced researchers and early career scientist alike, who are interested in in learning more about this exciting and developing field. The series Biology of Extracellular Matrix is published in collaboration with the American Society for Matrix Biology and the International Society for Matrix Biology.
Matron Knows Best
by Joan WoodcockJoan Woodcock always dreamed of becoming a nurse. And in 1966 the dream came true. From her very first day as a naive 16 year old cadet, standing nervously outside the matron's office, this is Joan's story of an eventful career spanning over forty years in NHS nursing.Working on hospital wards, casualty units and out in the community, as well as stints in a prison and a police unit dealing with sexual assault, Joan has seen it all. In this moving memoir she gives an honest, revealing account of a challenging, unpredictable and ultimately rewarding life in nursing.From an early encounter with a horrific axe injury to the patient who swallowed their suppositories, to daily dealings with difficult patients and all kinds of bodily fluids, Joan shares memories of laughter and tragedy, and of the now defunct matron system that at one time instilled nurses with such high standards of professionalism and patient care.
Matron at Last
by Evelyn Prentis'When do you have a bath?' I asked Mrs Turgoose. 'I hope you're not suggesting that I don't look after meself properly,' she said crossly. 'There was a woman who used to use it, but that was because she was a bit stuck up. She soon went off the idea when it started to get cold.'After working as a nurse for thirty years, Evelyn left the hospital to become a full-time Matron at The Lodge - a home for elderly ladies of reduced circumstances. Evelyn was nothing like the matrons she had known and feared in the past. In spite of broken nights and hot dinners left to get cold, Mrs Peters with her temper and Mrs Harrison with her 24-hour piano playing, her new role offered a chance to make a difference to her ladies' lives. Even though it did mean she was on call twenty-four hours a day, this is Evelyn's funny and affectionate memoir of her years - at last! - as a Matron.
Matron in Charge
by Evelyn Prentis'She should never have kept the business going after her husband died. Running a betting shop is no job for a woman. Especially when she's got bad legs.'After a short stay at hospital herself, Evelyn Prentis wondered what was in store for her when she returned to work. From the door-slamming Miss Cromwell to Mrs Silver's shoplifting and Mrs May coming over all queer, being Matron in charge of the Lodge was rarely straightforward.So when her ladies became unusually united in their grumbling about newest resident Ivy, the woman who'd kept the betting shop on the High Street, Evelyn was ready for all hell to break loose.But instead, with openness and kindness, Ivy won people over and even started bringing them together. Suddenly, being in charge of the Lodge was no trouble at all ...
Matron on Call: More true stories of a 1960s NHS nurse
by Joan WoodcockJoan Woodcock always dreamed of becoming a nurse. And in 1966 the dream came true. From her very first day as a naive sixteen-year-old cadet, standing nervously outside the matron's office, this is Joan's story of an eventful career spanning over forty years in NHS nursing. Working on hospital wards, casualty units and out in the community, as well as stints in a prison and a police unit dealing with sexual assault, Joan has seen it all. In this moving memoir she gives an honest, revealing account of a challenging, unpredictable and ultimately rewarding life in nursing. From an early encounter with a horrific axe injury, to the patient who swallowed their suppositories, to daily dealings with difficult patients and all kinds of bodily fluids, Joan shares memories of laughter and tragedy, and of the now defunct matron system that at one time instilled nurses with such high standards of professionalism and patient care.
Matron on Call: More true stories of a 1960s NHS nurse
by Joan WoodcockJoan Woodcock always dreamed of becoming a nurse. And in 1966 the dream came true. From her very first day as a naive sixteen-year-old cadet, standing nervously outside the matron's office, this is Joan's story of an eventful career spanning over forty years in NHS nursing. Working on hospital wards, casualty units and out in the community, as well as stints in a prison and a police unit dealing with sexual assault, Joan has seen it all. In this moving memoir she gives an honest, revealing account of a challenging, unpredictable and ultimately rewarding life in nursing. From an early encounter with a horrific axe injury, to the patient who swallowed their suppositories, to daily dealings with difficult patients and all kinds of bodily fluids, Joan shares memories of laughter and tragedy, and of the now defunct matron system that at one time instilled nurses with such high standards of professionalism and patient care.
Matters of Choice: The Physician, Shaman, And Matters Of Choice (The Cole Trilogy #3)
by Noah GordonA woman physician confronts the moral issues of her time in the third novel in the New York Times–bestselling author&’s historical medical trilogy. Roberta Jeanne d&’Arc Cole is favored to be named associate chief of medicine at a Boston hospital. She is married to a surgeon. They own a trophy residence on historic Brattle Street in Cambridge and a summer house in the Berkshire Hills. Everything melts away. Her gender and her work at an abortion clinic cost her the hospital appointment. Her marriage fails. Crushed, she goes to the farmhouse in Western Massachusetts, thinking to sell it, and finds an unexpected life. How she continues to fight for every woman&’s right to choose, while acknowledging her own ticking clock and maternal yearning, makes this prize-winning third story of the Cole trilogy as relevant as tomorrow.