Introduction to Biomedical Engineering

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

  1. Synthesis Lectures on Biomedical Engineering (1/2)
  2. Synthesis Lectures on Biomedical Engineering (2/2)
  3. Contents
  4. Preface
  5. Ohm's Law: Current, Voltage and Resistance
    1. Introduction
      1. Charge
      2. Electric Field
      3. Current
      4. Voltage
    2. Ohm's Law
      1. Fluid Analogies
    3. Sign Conventions for Voltage and Current
      1. Resistivity of Bulk Materials
    4. Diodes and Other Non-Ohmic Circuit Elements
    5. Power Loss in Resistors
    6. Problems
  6. Kirchhoff's Voltage and Current Laws: Circuit Analysis
    1. Introduction
    2. Kirchhoff's Voltage Law (KVL)
    3. Kirchhoff's Current Law (KCL)
    4. Resistive Circuit Analysis Using the Branch Current Method
    5. Problems
  7. Operational Amplifiers
    1. Introduction
    2. Operational Amplifiers
    3. Dependent Sources
    4. Some Standard Op Amp Circuits
      1. Inverting Amplifier
      2. Noninverting Amplifier
      3. Voltage Follower
    5. Problems
  8. Coulomb's Law, Capacitors and the Fluid/Electrical Analogy
    1. Coulomb's Law
    2. Capacitors
    3. Flow Into and Out of Capacitors
    4. Analogy Between Fluid and Electrical Circuits
      1. Scaling the Analog Pairs
    5. Problems
  9. Series and Parallel Combinations
    1. Series and Parallel Combinations of Resistors and Capacitors
      1. Introduction
      2. Resistors in Series
      3. Resistors in Parallel
      4. Capacitors in Series
      5. Capacitors in Parallel
      6. Voltage Divider
      7. Current Divider
      8. Problems
    2. Thevenin Equivalent Circuits
      1. Thevenin Equivalent Circuits and First-Order (RC) Time Constants
        1. Thevenin Equivalent Circuits
        2. Electrical Behavior of Capacitors
        3. RC Time Constants
        4. Problems
      2. Nernst Potential: Cell Membrane Equivalent Circuit (1/4)
      3. Nernst Potential: Cell Membrane Equivalent Circuit (2/4)
      4. Nernst Potential: Cell Membrane Equivalent Circuit (3/4)
      5. Nernst Potential: Cell Membrane Equivalent Circuit (4/4)
        1. Introduction
        2. Cell Membrane Structure
          1. Mechanisms of Transport
        3. Nernst Potential
        4. Equivalent Circuit for the Membrane
        5. Action Potentials
        6. Problems
      6. Fourier Transforms: Alternating Currents (AC) (1/8)
      7. Fourier Transforms: Alternating Currents (AC) (2/8)
      8. Fourier Transforms: Alternating Currents (AC) (3/8)
      9. Fourier Transforms: Alternating Currents (AC) (4/8)
      10. Fourier Transforms: Alternating Currents (AC) (5/8)
      11. Fourier Transforms: Alternating Currents (AC) (6/8)
      12. Fourier Transforms: Alternating Currents (AC) (7/8)
      13. Fourier Transforms: Alternating Currents (AC) (8/8)
        1. Fourier Transforms: Alternating Currents (AC) and the Frequency Domain
          1. Introduction - Sinusoids
          2. Fourier Series for Arbitrary Repeating Waveforms
          3. FFT: Calculating the Discrete Fourier Transform
          4. Problems
        2. Major Project
          1. Background (and Preliminaries)
            1. Modeling the Cardiovascular System
            2. Overview of Major Project
            3. Notebook Requirements
            4. Grading and Checkoff Dates
            5. Our Model
            6. Approximations
            7. Calculation of R and C Values
          2. MATLAB Model
          3. Electrical Circuit Analog
        3. Bibliography

Product information

  • Title: Introduction to Biomedical Engineering
  • Author(s): Douglas A. Christensen
  • Release date: January 2009
  • Publisher(s): Morgan & Claypool Publishers
  • ISBN: 9781598298468