Better Healthcare Through Math


Book Description

GETTING A DOCTOR'S APPOINTMENT SHOULDN'T BE HARDER THAN BOOKING A VACATION The US healthcare system excels in research, innovation, and clinical care, but is failing to keep up with the operational challenges of the digital age. Today's healthcare organizations face immense financial challenges, and their most valuable resources--people, rooms, and equipment--are being used inefficiently. The result? Long wait times for patients, overstressed staff, underused assets, and poor ROI for organizations. Why do health systems struggle with optimization? The fundamental problem is one of matching an unpredictable demand for services with a constrained supply. The math being used to solve this problem is a holdover from the paper-and-pencil era. In Better Healthcare Through Math, authors Mohan Giridharadas and Sanjeev Agrawal show you that there is a better way. Healthcare systems can harness the power of sophisticated, analytics-driven mathematics to optimize the matching of supply and demand. By upgrading to software systems built on better math, they can enable staff to make data-based decisions to flatten peaks of demand and create smoother patient flow.




Math for Health Care Professionals


Book Description

This workbook provides over 2700 math questions for practice and mastery of the each of the objectives included in Math for Health Care Professionals and Math for Health Care Professionals Quick Review. The use of this workbook to enhance understanding of math concepts also helps the learner become more confident in his or her knowledge and skills. The workbook may be used by anyone wishing to sharpen their math skills.




Mathematics of Public Health


Book Description

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.




Basic Math for Nursing and Allied Health


Book Description

Don't let your fear of math hold you back from a rewarding career in nursing or allied health! Basic Math for Nursing and Allied Health uses an easy-to-understand building-block approach designed to teach you how to correlate basic math concepts with everyday activities and eventually master the more complex calculations and formulas used by nursing and allied health professionals. This unique text walks you through essential math topics from Arabic and Roman numerals, addition, subtraction, multiplication, division, fractions, decimals, percentage, ratios and proportions, to conversion factors between household and metric measurements. Case studies used throughout the book not only demonstrate the mathematical concepts related to everyday activities and events, but also show you how to effectively use case studies to master the art of interpreting story problems. Basic Math for Nursing and Allied Health is written by an author team with extensive experience in many different healthcare fields including: pharmacy technology, medical assisting, nursing, emergency medical technology, anesthesia technology, patient care technology, and laboratory technology, as well as allied health instruction and education. Powerful learning aids help you understand and retain key concepts: "Recipes for Success" case study scenarios show how mathematical concepts and formulas can be applied to real-life situations "Manual Math" tips and reminder boxes reinforce your confidence and knowledge Key Terms provides definitions of must-know words and phrases Chapter Openers and Chapter Summaries pinpoint must-know takeaways of each chapter Practice equations after each concept sharpen your math skills End-of-Chapter practice tests help you decide whether you should progress to the next chapter Comprehensive review and final exam pinpoint your strengths and weaknesses




Mathematics for Healthcare


Book Description

In 1996, and with extraordinary prescience, Panfilov and Holden had highlighted in their seminal book 'Computational Biology of the Heart' that biology was, potentially, the most mathematical of all sciences. Fast-forward 20 years and we have seen an explotion of applications of mathematics in not only biology, but healthcare that has already produced significant breakthroughs not imaginable more than 20 years ago. Great strides have been made in explaining through quantitative methods the underlying mechanisms of human disease, not without considerable ingenuity and effort. Biological mechanisms are bewildering: complex, ever evolving, multi-scale, variable, difficult to fully access and understand. This poses immense challenges to the computational physiology community that, nevertheless, has developed an impressive arsenal of tools and methods in a vertiginous race to combat disease with the tall order of improving human healthcare. Mechanistic models are now contending with the advent of machine learning in healthcare and the hope is that both approaches will be used synergistically since the complexity of human patophysiology and the difficulty of acquiring human datasets will require both, deductive and inductive methods. This Research Topic presents work that is currently at the frontier in computational physiology with a striking range of applications, from diabetes to graft failure and using a multitude of mathematical tools. This collection of articles represents a snapshot in a field that is moving a dizzying speed, bringing understanding of fundamental mechanism and solutions to healthcare problems experienced by healthcare systems all over the world.




Math for Healthcare Professionals


Book Description

Offers instructions and examples for healthcare professionals on how to calculate drug dosages using the dimension analysis, dosage formula, and ratio and proportion methods, and includes diagnostic test questions, illustrations, and two comprehensive examinations.




Mathematics Explained for Healthcare Practitioners


Book Description

If 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 of Public Health


Book Description

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.




Saunders Math Skills for Health Professionals


Book Description

A study guide for health professions, covering math skills.




Mathematics of Public Health


Book Description

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.