Introduction to Biomedical Engineering: Biomechanics and Bioelectricity, Part 1

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Morgan & Claypool Publishers, Nov 1, 2008 - Science - 232 pages
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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
 

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Contents

Basic Concepts Numbers Units and Consistency Checks
3
121 SCIENTIFIC NOTATION
4
122 ACCURACY AND PRECISION
5
13 DIMENSIONS AND UNITS
7
131 SI UNITS
8
132 KEEPING TRACK OF UNITS IN EQUATIONS
10
141 THE USE OF WEIGHT TO DESCRIBE MASS
12
151 REALITY CHECK
13
86 PROBLEMS
111
Kirchhoffs Voltage and Current Laws Circuit Analysis
113
92 KIRCHHOFFS VOLTAGE LAW KVL
115
94 RESISTIVE CIRCUIT ANALYSIS USING THE BRANCH CURRENT METHOD
116
95 PROBLEMS
121
Operational Amplifiers
125
102 OPERATIONAL AMPLIFIERS
126
103 DEPENDENT SOURCES
129

153 RANGING CHECK
14
17 PROBLEMS
15
Darcys Law PressureDriven Transport Through Membranes
17
211 MANMADE MEMBRANES
19
22 DARCYS LAW
20
221 IDEAL AND NONIDEAL MATERIALS
23
23 MECHANICAL FILTRATION SIEVING
24
24 PROBLEMS
27
Poiseuilles Law PressureDriven Flow Through Tubes
29
32 POISEUILLES LAW
32
321 SIMPLIFIED VERSION OFPOISEUILLES LAW
35
322 ASSUMPTIONS FOR POISEUILLES LAW
36
33 POWER EXPENDED IN THE FLOW
38
341 SERIES
39
35 PROBLEMS
44
Hookes Law Elasticity of Tissues and Compliant Vessels
47
43 HOOKES LAW AND ELASTIC TISSUES
48
44 COMPLIANT VESSELS
52
45 INCOMPRESSIBLE FLOW INTO AND OUT OF COMPLIANT VESSELS
55
46 PROBLEMS
57
Starlings Law of the Heart Windkessel Elements and Conservation of Volume
63
THE PV LOOP
64
53 STARLINGS LAW OF THE HEART
66
54 WINDKESSEL ELEMENTS
69
55 CONSERVATION OF VOLUME IN INCOMPRESSIBLE FLUIDS
70
56 PROBLEMS
72
Eulers Methodand FirstOrder Time Constants
75
62 EULERS METHOD
76
63 WAVEFORMS OF PRESSURE AND VOLUME
77
64 FIRSTORDER TIME CONSTANTS
78
65 PROBLEMS
86
Muscle Leverage Work Energy and Power
89
73 WORK
94
75 POWER
96
76 PROBLEMS
97
Bioelectricity
99
Ohms Law CurrentVoltage and Resistance
101
811 CHARGE
102
813 CURRENT
103
814 VOLTAGE
104
82 OHMS LAW
105
821 FLUID ANALOGIES
106
83 SIGN CONVENTIONS FOR VOLTAGE AND CURRENT
107
831 RESISTIVITY OF BULK MATERIALS
108
84 DIODES AND OTHER NONOHMIC CIRCUIT ELEMENTS
109
85 POWER LOSS IN RESISTORS
110
104 SOME STANDARD OP AMP CIRCUITS
130
1041 INVERTING AMPLIFIER
131
1042 NONINVERTING AMPLIFIER
133
1043 VOLTAGE FOLLOWER
134
105 PROBLEMS
136
Coulombs LawCapacitors and the FluidElectrical Analogy
139
112 CAPACITORS
140
113 FLOW INTO AND OUT OF CAPACITORS
142
114 ANALOGY BETWEEN FLUID AND ELECTRICAL CIRCUITS
143
1141 SCALING THE ANALOG PAIRS
145
115 PROBLEMS
146
Series and Parallel Combinations of Resistors and Capacitors
149
123 RESISTORS IN PARALLEL
150
124 CAPACITORS IN SERIES
152
125 CAPACITORS IN PARALLEL
154
126 VOLTAGE DIVIDER
156
127 CURRENT DIVIDER
157
128 PROBLEMS
159
Thevenin Equivalent Circuits and FirstOrder RCTime Constants
161
132 ELECTRICAL BEHAVIOR OF CAPACITORS
163
133 RCTIME CONSTANTS
165
134 PROBLEMS
170
Nernst Potential Cell Membrane Equivalent Circuit
173
1421 MECHANISMS OF TRANSPORT
175
143 NERNST POTENTIAL
176
144 EQUIVALENT CIRCUIT FOR THE MEMBRANE
178
145 ACTION POTENTIALS
184
146 PROBLEMS
188
Fourier Transforms Alternating Currents ACand the Frequency Domain
191
152 FOURIER SERIES FOR ARBITRARY REPEATING WAVEFORMS
192
CALCULATING THE DISCRETE FOURIER TRANSFORM
194
154 PROBLEMS
201
Conversion Factors
205
Material Constants
207
B3 PERMEABILITY
208
Major Project
209
C12 OVERVIEW OF MAJOR PROJECT
210
C14 GRADING AND CHECKOFF DATES
212
C15 OUR MODEL
214
C16 APPROXIMATIONS
216
C17 CALCULATION OF R AND C VALUES
217
C2 MATLAB MODEL
219
C3 ELECTRICAL CIRCUIT ANALOG
223
Bibliography
231
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