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Mathematics for the Clinical Laboratory - E-Book

Mathematics for the Clinical Laboratory is a comprehensive text that teaches you how to perform the clinical calculations used in each area of the laboratory and helps you achieve accurate results. This second edition features even more examples and practice problems. This edition ensures your success by using proven learning techniques focused on practice and repetition to demonstrate how you will use math in the lab every day!New content increases the comprehensiveness of the text Charts and diagrams allow you to picture how calculations work and are applied to laboratory principles Chapter outlines show what to expect from each chapter and how the topics flow and connect to each other Practice problems act as a self-assessment tool to aid in reviewing the material. Significantly updated chapters include calculations that are currently in use in laboratories. More problems and examples applicable to real-life situations have been added to all chapters for additional practice. A companion Evolve website features a test bank, electronic image collection, PowerPoint slides, practice quizzes, additional examples of calculations, and student practice problems. Chapter on the molecular laboratory familiarizes you with the most current information about the critical area of clinical laboratory science.

Mathematics for the Clinical Laboratory - E-Book

Filled with easy-to-follow explanations and loads of examples and sample problems, Mathematics for the Clinical Laboratory, 3rd Edition is the perfect resource to help you master the clinical calculations needed for each area of the laboratory. Content is divided into three sections: a review of math and calculation basics, coverage of particular areas of the clinical laboratory (including immunohematology and microbiology), and statistical calculations. This new third edition also includes a new full-color design, additional text notes, formula summaries, and the latest procedures used in today’s laboratories to ensure you are fully equipped with the mathematical understanding and application skills needed to succeed in professional practice.Examples of calculations for each different type of calculation are worked out in the chapters, step by step to show readers exactly what they’re expected to learn and how to perform each type of calculation.Practice problems at the ends of each chapter act as a self-assessment tool to help readers determine what they need to review.Example problems and answers throughout the text can also be used as templates for solving laboratory calculations.Quick tips and notes throughout the text help readers understand and remember pertinent information.Answer key to the practice problems appears in the back of the book.Updated content and calculations reflect the latest procedures used in today’s laboratories. Learning objectives at the beginning of each chapter provide a measurable outcome to achieve by the completing the chapter material.NEW! Summaries of important formulas are included at the ends of major sections.NEW! Full-color design creates a more accessible look and feel. NEW! Greek symbol appendix at the end of the book provides a quick place for readers to turn to when studying.NEW! Glossary at the back of the textbook includes definitions of important mathematical terms.

Mathematics for the Clinical Laboratory E-Book: Mathematics for the Clinical Laboratory E-Book

Master the skills you'll need to perform accurate clinical laboratory calculations! Mathematics for the Clinical Laboratory, 4th Edition demonstrates the calculations used in the analysis of test specimens. It begins by explaining basic mathematical principles and then covers the types of calculations needed in specific areas of the clinical lab including urinalysis, hematology, and microbiology. Finally, it focuses on the statistical calculations used in quality assurance and quality control. Step-by-step examples reinforce your understanding, and calculation templates and practice problems ensure that you make correct calculations every time.Step-by-step examples explain basic mathematical principles and show you exactly how to perform each type of calculation.Sample problems with answers can also be used as templates for solving laboratory calculations.Practice problems at the end of each chapter provide a self-assessment tool, helping you determine what you need to review.Summaries of important formulas are included at the end of the text’s major sections.Coverage of statistical calculations includes standard deviation, as well as calculations associated with quality assurance and quality control. Quick tips and notes make it easier to understand and remember pertinent information.Learning objectives at the beginning of each chapter provide measurable outcomes to achieve by completing the chapter material.Full-color design includes 100 illustrations.Useful appendix of Greek symbols provides a quick reference to turn to when studying.Glossary at the back of the textbook includes definitions of important mathematical terms.New! Updated content and calculations reflect the latest procedures used in today's laboratories.

Mathematics for the Life Sciences

The 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 for the Life Sciences

The 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 - Key Technology for the Future: Joint Projects between Universities and Industry

Efficient transfer between science and society is crucial for their future development. The rapid progress of information technology and computer systems offers a large potential and new perspectives for solving complex problems. Mathematical modelling and simulation have become important tools not only in scientific investigations but also in analysing, planning and controlling technological and economic processes. Mathematics, imbedded in an interdisciplinary concept, has become a key technology. The book covers the results of a variety of major projects in industrial mathematics following an initiative of the German Federal Ministry of Education and Research. All projects are collaborations of industrial companies and university-based researchers, and range from automotive industry to computer technology and medical visualisation. In general, the projects presented in this volume prove that new mathematical ideas and methods can be decisive for the solution of industrial and economic problems.

Mathematics of DNA Structure, Function and Interactions (The IMA Volumes in Mathematics and its Applications #150)

Propelled by the success of the sequencing of the human and many related genomes, molecular and cellular biology has delivered significant scientific breakthroughs. Mathematics (broadly defined) continues to play a major role in this effort, helping to discover the secrets of life by working collaboratively with bench biologists, chemists and physicists. Because of its outstanding record of interdisciplinary research and training, the IMA was an ideal venue for the 2007-2008 IMA thematic year on Mathematics of Molecular and Cellular Biology. The kickoff event for this thematic year was a tutorial on Mathematics of Nucleic Acids, followed by the workshop Mathematics of Molecular and Cellular Biology, held September 15--21 at the IMA. This volume is dedicated to the memory of Nicholas R. Cozzarelli, a dynamic leader who fostered research and training at the interface between mathematics and molecular biology. It contains a personal remembrance of Nick Cozzarelli, plus 15 papers contributed by workshop speakers. The papers give an overview of state-of-the-art mathematical approaches to the understanding of DNA structure and function, and the interaction of DNA with proteins that mediate vital life processes.

Mathematics of Epidemics on Networks: From Exact to Approximate Models (Interdisciplinary Applied Mathematics #46)

This 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.

The Mathematics of Mechanobiology: Cetraro, Italy 2018 (Lecture Notes in Mathematics #2260)

This book presents the state of the art in mathematical research on modelling the mechanics of biological systems – a science at the intersection between biology, mechanics and mathematics known as mechanobiology. The book gathers comprehensive surveys of the most significant areas of mechanobiology: cell motility and locomotion by shape control (Antonio DeSimone); models of cell motion and tissue growth (Benoît Perthame); numerical simulation of cardiac electromechanics (Alfio Quarteroni); and power-stroke-driven muscle contraction (Lev Truskinovsky).Each section is self-contained in terms of the biomechanical background, and the content is accessible to all readers with a basic understanding of differential equations and numerical analysis. The book disentangles the phenomenological complexity of the biomechanical problems, while at the same time addressing the mathematical complexity with invaluable clarity. The book is intended for a wide audience, in particular graduate students and applied mathematicians interested in entering this fascinating field.

The Mathematics of Medical Imaging: A Beginner’s Guide (Springer Undergraduate Texts in Mathematics and Technology)

The basic mathematics of computerized tomography, the CT scan, are aptly presented for an audience of undergraduates in mathematics and engineering. Assuming no prior background in advanced mathematical analysis, topics such as the Fourier transform, sampling, and discrete approximation algorithms are introduced from scratch and are developed within the context of medical imaging. A chapter on magnetic resonance imaging focuses on manipulation of the Bloch equation, the system of differential equations that is the foundation of this important technology. Extending the ideas of the acclaimed first edition, new material has been adeed to render an even more accessible textbook for course usage. This edition includes new discussions of the Radon transform, the Dirac delta function and its role in X-ray imaging, Kacmarz’s method and least squares approximation, spectral filtering, and more. Copious examples and exercises, new computer-based exercises, and additional graphics have been added to further delineate concepts. The use of technology has been revamped throughout with the incorporation of the open source programming environment R to illustrate examples and composition of graphics. All R code is available as extra source material on SpringerLink.From the reviews of the first edition:“This book is valuable, for it addresses with care and rigor the relevance of a variety of mathematical topics to a real-world problem. …This book is well written. It serves its purpose of focusing a variety of mathematical topics onto a real-world application that is in its essence mathematics.” –The Journal of Nuclear Medicine, Vol. 51 (12), December, 2010“This new book by Timothy Feeman, truly intended to be a beginner’s guide, makes the subject accessible to undergraduates with a working knowledge of multivariable calculus and some experience with vectors and matrix methods. …author handles the material with clarity and grace…” –The Mathematical Association of America, February, 2010

The Mathematics of Medical Imaging: A Beginner’s Guide (Springer Undergraduate Texts in Mathematics and Technology)

This text explores medical imaging, one of the most significant areas of recent mathematical applications, in a concise manner accessible to undergraduate students. The author emphasizes the mathematical aspects of medical imaging, including not only the theoretical background, but also the role of approximation methods and the computer implementation of the inversion algorithms. In twenty-first century health care, CAT scans, ultrasounds, and MRIs are commonplace. Significant computational advances, along with the development, design, and improvement of the machines themselves, can only occur in conjunction with a proper understanding of the mathematics. This book is inherently interdisciplinary in nature, and therefore is appropriate for students of engineering, physics, and computer science, in addition to mathematics.

Mathematics of Program Construction: 10th International Conference, MPC 2010, Québec City, Canada, June 21-23, 2010, Proceedings (Lecture Notes in Computer Science #6120)

Mathematics of Public Health: Proceedings Of The Seminar On The Mathematical Modelling Of Covid-19 (Fields Institute Communications Ser. #85)

Mathematics of Public Health: Mathematical Modelling from the Next Generation (Fields Institute Communications #88)

This 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)

Curated 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

Die 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?

Mathematik in der Praxis: Fallstudien aus Industrie, Wirtschaft, Naturwissenschaften und Medizin

Wie aufregend Mathematik im Spannungsfeld zwischen Theorie und Praxis sein kann, zeigt dieses Buch. Es beschreibt interessant und allgemeinverständlich die konkreten Anwendungen mathematischer Forschung in unserem Alltag.

Mathematische Grundlagen der empirischen Forschung (Statistik und ihre Anwendungen)

Mathematische Modelle und Methoden sind heute in den Natur- und Biowissenschaften zu einem wichtigen Bestandteil der wissenschaftlichen Arbeit und Forschung geworden. Leitfaden der vorliegenden anschaulichen und grundlegenden Einführung in diesen Themenbereich sind die in den Naturwissenschaften typischen auftretenen Fragestellungen, anhand dessen die wichtigsten Konzepte entwickelt werden. Bei der Darstellung des Stoffes wird bewusst auf das aus der Mathematik stammende Definition-Satz-Beweis-Schema verzichtet und die Vermittlung der wesentlichen Ideen und Ansätze in den Vordergrund gestellt. Schwerpunkte der Stoffauswahl liegen in der Wahrscheinlichkeitsrechnung, Statistik und Analysis, die einen direkten Zugang zu den wichtigen Anwendungen ermöglichen.

Mathematische Grundlagen für die Modellierung biologischer Vorgänge (Hochschultext)

Ausgehend von Fragestellungen aus der Biologie, wird in diesem Lehrbuch das mathematische Grundwissen zur Modellbildung innerhalb der Biologie entwickelt. Zugleich ist es Ausgangspunkt für weiterführende Studien auf dem Gebiet der theoretischen Biologie und enthält ausschließlich solche mathematische Konzepte, denen wir bei einer ersten Abstraktion in der Beschreibung natürlicher Gegenstände begegnen. Hierbei bleibt der Bezug zum jeweiligen Gegenstand der Biologie stets erhalten; die Konzepte werden anhand zahlreicher Abbildungen anschaulich erklärt. Zusammen mit den beigefügten Übungsaufgaben entspricht dieses Lehrbuch dem Lehrstoff einer zweistündigen Vorlesung über die Dauer eines Semesters.

Mathematische Methoden in den Biowissenschaften: Eine Einführung mit R

Dieses Buch führt in grundlegende Methoden der Mathematik ein, die in den Biowissenschaften angewendet werden. Die Themenbereiche wurden in der dritten Auflage erheblich erweitert. Sie umfassen u.a. Verfahren zur Auswertung von Beobachtungsdaten, die für das Fachgebiet wichtigen Funktionen, die Anpassung von Funktionen an Daten, Modellbildung mit Differentialgleichungen, Vektoren und Matrizen sowie Schätz- und Testverfahren. Die Darstellung der Inhalte baut auf der Schulmathematik auf. Das Buch enthält ein umfangreiches Übungsmaterial, mit dem eine Sicherheit in der Anwendung der Methoden und der numerischen Problemlösung mit R erreicht werden kann.

Mathematische Modelle für die klinische Forschung: enzymatische und pharmakokinetische Prozesse (Medizinische Informatik, Biometrie und Epidemiologie #32)

Mathematische Theorie der relativen Koordination und der Gangarten von Wirbeltieren (Sitzungsberichte der Heidelberger Akademie der Wissenschaften #1978 / 4)

Maths Skills For Pharmacy: Unlocking Pharmaceutical Calculations

Ensuring competency in maths skills is a fundamental part of pharmacy education as accurate pharmaceutical calculations are crucial to the safe and effective use of drugs. This text combines both the scientific calculations underpinning dosage forms with calculations relating to pharmacy practice in a single resource. An innovative student-centred approach is taken throughout the text, with numerous worked examples and self-test questions to stimulate self-directed learning. Frequent case studies highlight the importance of maths to pharmacy, and help students to make that crucial connection between theory and practice, while key take-home messages for each section are summarised in concise learning-point boxes. Written by leading academics with a wealth of experience in pharmacy education Maths Skills for Pharmacy is the ideal textbook for the subject.

MATLAB for Neuroscientists: An Introduction to Scientific Computing in MATLAB

MATLAB for Neuroscientists: An Introduction to Scientific Computing in MATLAB is the first comprehensive teaching resource and textbook for the teaching of MATLAB in the Neurosciences and in Psychology. MATLAB is unique in that it can be used to learn the entire empirical and experimental process, including stimulus generation, experimental control, data collection, data analysis and modeling. Thus a wide variety of computational problems can be addressed in a single programming environment. The idea is to empower advanced undergraduates and beginning graduate students by allowing them to design and implement their own analytical tools. As students advance in their research careers, they will have achieved the fluency required to understand and adapt more specialized tools as opposed to treating them as "black boxes". Virtually all computational approaches in the book are covered by using genuine experimental data that are either collected as part of the lab project or were collected in the labs of the authors, providing the casual student with the look and feel of real data. In some cases, published data from classical papers are used to illustrate important concepts, giving students a computational understanding of critically important research.The first comprehensive textbook on MATLAB with a focus for its application in neuroscienceProblem based educational approach with many examples from neuroscience and cognitive psychology using real dataAuthors are award-winning educators with strong teaching experience

Matrices, Statistics and Big Data: Selected Contributions from IWMS 2016 (Contributions to Statistics)

This 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.