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Author: John D. Enderle
Publisher: Morgan & Claypool Publishers
ISBN: 1598290614
Category : Technology & Engineering
Languages : en
Pages : 136
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Book Description
This is the first in a series of short books on probability theory and random processes for biomedical engineers. This text is written as an introduction to probability theory. The goal was to prepare students, engineers and scientists at all levels of background and experience for the application of this theory to a wide variety of problems—as well as pursue these topics at a more advanced level. The approach is to present a unified treatment of the subject. There are only a few key concepts involved in the basic theory of probability theory. These key concepts are all presented in the first chapter. The second chapter introduces the topic of random variables. Later chapters simply expand upon these key ideas and extend the range of application. A considerable effort has been made to develop the theory in a logical manner—developing special mathematical skills as needed. The mathematical background required of the reader is basic knowledge of differential calculus. Every effort has been made to be consistent with commonly used notation and terminology—both within the engineering community as well as the probability and statistics literature. Biomedical engineering examples are introduced throughout the text and a large number of self-study problems are available for the reader.
Author: John D. Enderle
Publisher: Morgan & Claypool Publishers
ISBN: 1598290614
Category : Technology & Engineering
Languages : en
Pages : 136
Get Book
Book Description
This is the first in a series of short books on probability theory and random processes for biomedical engineers. This text is written as an introduction to probability theory. The goal was to prepare students, engineers and scientists at all levels of background and experience for the application of this theory to a wide variety of problems—as well as pursue these topics at a more advanced level. The approach is to present a unified treatment of the subject. There are only a few key concepts involved in the basic theory of probability theory. These key concepts are all presented in the first chapter. The second chapter introduces the topic of random variables. Later chapters simply expand upon these key ideas and extend the range of application. A considerable effort has been made to develop the theory in a logical manner—developing special mathematical skills as needed. The mathematical background required of the reader is basic knowledge of differential calculus. Every effort has been made to be consistent with commonly used notation and terminology—both within the engineering community as well as the probability and statistics literature. Biomedical engineering examples are introduced throughout the text and a large number of self-study problems are available for the reader.
Author: John D. Enderle
Publisher: Springer Nature
ISBN: 3031016157
Category : Technology & Engineering
Languages : en
Pages : 107
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Book Description
This is the third in a series of short books on probability theory and random processes for biomedical engineers. This book focuses on standard probability distributions commonly encountered in biomedical engineering. The exponential, Poisson and Gaussian distributions are introduced, as well as important approximations to the Bernoulli PMF and Gaussian CDF. Many important properties of jointly Gaussian random variables are presented. The primary subjects of the final chapter are methods for determining the probability distribution of a function of a random variable. We first evaluate the probability distribution of a function of one random variable using the CDF and then the PDF. Next, the probability distribution for a single random variable is determined from a function of two random variables using the CDF. Then, the joint probability distribution is found from a function of two random variables using the joint PDF and the CDF. The aim of all three books is as an introduction to probability theory. The audience includes students, engineers and researchers presenting applications of this theory to a wide variety of problems—as well as pursuing these topics at a more advanced level. The theory material is presented in a logical manner—developing special mathematical skills as needed. The mathematical background required of the reader is basic knowledge of differential calculus. Pertinent biomedical engineering examples are throughout the text. Drill problems, straightforward exercises designed to reinforce concepts and develop problem solution skills, follow most sections.
Author: John Enderle
Publisher: Springer Nature
ISBN: 3031016130
Category : Technology & Engineering
Languages : en
Pages : 126
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Book Description
This is the first in a series of short books on probability theory and random processes for biomedical engineers. This text is written as an introduction to probability theory. The goal was to prepare students, engineers and scientists at all levels of background and experience for the application of this theory to a wide variety of problems—as well as pursue these topics at a more advanced level. The approach is to present a unified treatment of the subject. There are only a few key concepts involved in the basic theory of probability theory. These key concepts are all presented in the first chapter. The second chapter introduces the topic of random variables. Later chapters simply expand upon these key ideas and extend the range of application. A considerable effort has been made to develop the theory in a logical manner—developing special mathematical skills as needed. The mathematical background required of the reader is basic knowledge of differential calculus. Every effort has been made to be consistent with commonly used notation and terminology—both within the engineering community as well as the probability and statistics literature. Biomedical engineering examples are introduced throughout the text and a large number of self-study problems are available for the reader.
Author: John D. Enderle
Publisher: Morgan & Claypool Publishers
ISBN: 1598291416
Category : Technology & Engineering
Languages : en
Pages : 114
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Book Description
This is the second in a series of three short books on probability theory and random processes for biomedical engineers. This volume focuses on expectation, standard deviation, moments, and the characteristic function. In addition, conditional expectation, conditional moments and the conditional characteristic function are also discussed. Jointly distributed random variables are described, along with joint expectation, joint moments, and the joint characteristic function. Convolution is also developed. A considerable effort has been made to develop the theory in a logical manner—developing special mathematical skills as needed. The mathematical background required of the reader is basic knowledge of differential calculus. Every effort has been made to be consistent with commonly used notation and terminology—both within the engineering community as well as the probability and statistics literature. The aim is to prepare students for the application of this theory to a wide variety of problems, as well give practicing engineers and researchers a tool to pursue these topics at a more advanced level. Pertinent biomedical engineering examples are used throughout the text.
Author: John Enderle
Publisher: Springer Nature
ISBN: 3031016149
Category : Technology & Engineering
Languages : en
Pages : 106
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Book Description
This is the second in a series of three short books on probability theory and random processes for biomedical engineers. This volume focuses on expectation, standard deviation, moments, and the characteristic function. In addition, conditional expectation, conditional moments and the conditional characteristic function are also discussed. Jointly distributed random variables are described, along with joint expectation, joint moments, and the joint characteristic function. Convolution is also developed. A considerable effort has been made to develop the theory in a logical manner—developing special mathematical skills as needed. The mathematical background required of the reader is basic knowledge of differential calculus. Every effort has been made to be consistent with commonly used notation and terminology—both within the engineering community as well as the probability and statistics literature. The aim is to prepare students for the application of this theory to a wide variety of problems, as well give practicing engineers and researchers a tool to pursue these topics at a more advanced level. Pertinent biomedical engineering examples are used throughout the text.
Author: Kristina Marie Ropella
Publisher: Morgan & Claypool Publishers
ISBN: 1598291963
Category : Biomedical engineering
Languages : en
Pages : 103
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Book Description
Provides a bare-bones coverage of the most basic statistical analysis frequently used in biomedical engineering practice. The text introduces students to the essential vocabulary and basic concepts of probability and statistics that are required to perform the numerical summary and statistical analysis used in the biomedical field.
Author: Douglas A. Christensen
Publisher: Morgan & Claypool Publishers
ISBN: 1598298445
Category : Biomechanics
Languages : en
Pages : 253
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Book Description
Intended as an introduction to the field of biomedical engineering, this book covers the topics of biomechanics (Part I) and bioelectricity (Part II). Each chapter emphasizes a fundamental principle or law, such as Darcy's Law, Poiseuille's Law, Hooke's Law, Starling's Law, levers, and work in the area of fluid, solid, and cardiovascular biomechanics. In addition, electrical laws and analysis tools are introduced, including Ohm's Law, Kirchhoff's Laws, Coulomb's Law, capacitors and the fluid/electrical analogy. Culminating the electrical portion are chapters covering Nernst and membrane potentials and Fourier transforms. Examples are solved throughout the book and problems with answers are given at the end of each chapter. A semester-long Major Project that models the human systemic cardiovascular system, utilizing both a Matlab numerical simulation and an electrical analog circuit, ties many of the book's concepts together.
Author: Douglas Christensen
Publisher: Springer Nature
ISBN: 303101636X
Category : Technology & Engineering
Languages : en
Pages : 107
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Book Description
Intended as an introduction to the field of biomedical engineering, this book covers the topics of biomechanics (Part I) and bioelectricity (Part II). Each chapter emphasizes a fundamental principle or law, such as Darcy's Law, Poiseuille's Law, Hooke's Law, Starling's Law, levers, and work in the area of fluid, solid, and cardiovascular biomechanics. In addition, electrical laws and analysis tools are introduced, including Ohm's Law, Kirchhoff's Laws, Coulomb's Law, capacitors and the fluid/electrical analogy. Culminating the electrical portion are chapters covering Nernst and membrane potentials and Fourier transforms. Examples are solved throughout the book and problems with answers are given at the end of each chapter. A semester-long Major Project that models the human systemic cardiovascular system, utilizing both a Matlab numerical simulation and an electrical analog circuit, ties many of the book's concepts together. Table of Contents: Basic Concepts / Darcy's Law / Poiseuille's Law: Pressure-Driven Flow Through Tubes / Hooke's Law: Elasticity of Tissues and Compliant Vessels / Starling's Law of the Heart, Windkessel Elements and Volume / Euler's Method and First-Order Time Constants / Muscle, Leverage, Work, Energy and Power
Author: John Denis Enderle
Publisher: Morgan & Claypool
ISBN: 9781608451852
Category : Biomedical engineering
Languages : en
Pages : 0
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Book Description
This is Volume 2 in the Synthesis Lectures on Biomedical Engineering combined series, which includes four Synthesis lectures in one volume. This volume includes the following short books: Fundamentals of Respiratory System and Sounds Analysis / Basic Probability Theory for Biomedical Engineers / Intermediate Probability Theory for Biomedical Engineers / Advanced Probability Theory for Biomedical Engineers
Author: Phillip Weinfurt
Publisher: Springer Nature
ISBN: 3031016416
Category : Technology & Engineering
Languages : en
Pages : 85
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Book Description
Evaluating biomedical technology poses a significant challenge in light of the complexity and rate of introduction in today's healthcare delivery system. Successful evaluation requires an integration of clinical medicine, science, finance, and market analysis. Little guidance, however, exists for those who must conduct comprehensive technology evaluations. The 3Q Method meets these present day needs. The 3Q Method is organized around 3 key questions dealing with 1) clinical and scientific basis, 2) financial fit and 3) strategic and expertise fit. Both healthcare providers (e.g., hospitals) and medical industry providers can use the Method to evaluate medical devices, information systems and work processes from their own perspectives. The book describes the 3Q Method in detail and provides additional suggestions for optimal presentation and report preparation. Table of Contents: Introduction / Question #1: Is It Real? / Question #2: Can We Win? / Question #3: Is It Worth It? / 3Q Case Study Example -- Pershing Medical Company / Appendix A: Health Care Technology Assessment Sample Class Syllabus / Appendix B: How do Hospitals and Clinicians Get Paid? / Appendix C: Technology Assessment PowerPoint Report Guidelines / Appendix D: Class Report Scenario Example / Appendix E: Four-Blocker Slide Templates for 3Q Reports
