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This course (生理系統分析與建模) aims to introduce system theory and engineering relevant analytical tools with applications from bioengineering and physiology, including differential equations, linear and nonlinear systems, feedback and stability, the complementary nature of time and frequency domain methods, etc. To encourage students exploring the potential of the analytical techniques introduced, the lecturer also offer some physiology relevant applications in the course, including musculoskeleton properties and dynamics, vestibular system, pupil control system and cardiovascular regulation. Except doing the homework set, following the course some designed numerical laboratory works based on Matlab and Opensim also have to be completed, which aims to cultivate the hand-on experience of the students.
Course History:
(1) September xx, 2015-uuu vv, 2016
Lecture notes will be posted whenever possible. Not all lectures are available for distribution.
Textbook and reference books: To be posted
Useful softwares for this course: To be posted
1 |
Chapter 1 Overview of Physiological Systems
Lecture Note:  PDF - xxx kB
1.1 Abstraction of Engineering Systems
1.2 Static vs Dynamic
1.3 Linearity
1.4 Time-invariant vs. time-varying and Stability
1.5 An example of Physiological Systems
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2 |
Chapter 2 Electrical and Mechanical Systems
Lecture Note: PDF - xxx kB
2.1 Electrical Systems
2.2 Kirchoff’s Voltage and Current Laws
2.3 The Resistor-Inductor Circuit
2.4 The Connection Between Electrical and Mechanical Systems
2.5 A Physiological Example of Electrical Systems
2.6 The Systems Approach to Mechanical Systems
2.7 Spring-Mass-Damper System and Forced Systems
2.8 An Example of Mechanical Systems in Physiology
Workshop 1: Worksheet to be posted--- PDF xxx kB
Homework 1---Due: xxx, yy, 2015
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3 |
Chapter 3 Laplace Transform and Ordinary Differential Equations (ODEs)
Lecture Note: PDF - xxx kB
3.1 Laplace Transform
3.2 Properties of the Laplace Transform
3.3 Inversion of the Laplace Transform
3.4 Solution of ODEs with the Laplace Transform
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4 |
Chapter 4 Transfer Functions
Lecture Note: PDF - xxx kB
4.1 Definition
4.2 System Linearity
4.3 System Response to Periodic Inputs
4.4 Mathematical Manipulation on Block Diagram
4.5 Second Order Systems
4.6 The Impulse Response
Workshop 2: Worksheet to be posted--- PDF xxx kB
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5 |
Chapter 5 Block Diagrams and Convolution
Lecture Note: PDF - xxx kB
5.1 Four Standard Block Diagram Elements
5.2 Block Algebra Derived Results
5.3 Potential Solutions
5.4 Convolution Description
Homework 2---Due: xxx yy, 2015
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6 |
Chapter 6 Fundamental Muscle Mechanics
Lecture Note: PDF - xxx kB
6.1 Muscle Types: Skeletal, Cardiac, Smooth
6.2 Muscular Contraction: Isometric and Isotonic
6.3 Mechanical Events: Twitch and Tetanus
6.4 Tension-Length Curves: Passive and Active
6.5 Series Elastic Component
6.6 Force-Velocity Curves
6.7 Active State: Muscles Active While Lengthening; Time Course of Active State in a Twitch
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7 |
Chapter 7 Case Study1: The Prevention of Ankle Inversion Injury
Lecture Note: PDF - xxx kB
7.1 The Musculoskeletal Model of Ankle, Foot, and Orthosis
7.2 Evaluate Ankle Inversion Injury During a Drop Landing on a Sloped Surface
7.3 Analyze the Effects of an Ankle–Foot Orthosis on Ankle Inversion
7.4 Analyze the Effects of Muscle Co-Activation
7.5 Prevent Injury with a Device and Training Program
Workshop 3: Worksheet to be posted--- PDF xx kB
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8 |
Chapter 8 Bode Plot and Fourier Series and Transform
Lecture Note: PDF - xxx kB
8.1 Response to a Pure Sinusoid
8.2 The Bode Plot
8.3 Bode Plot Elements
8.4 Pole/Zero at the Origin, Real Pole/Zero, Complex Pole/Zero
8.5 Pure Time Delay
8.6 Fourier Series and Fourier Transforms
8.7 Graphical Representations of Fourier Transforms for Common Signals
Homework 3---Due: xxx yy, 2015
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9 |
Chapter 9 Case Study2: Vestibular System
Lecture Note: PDF - xxx kB
9.1 Sensation and Perception
9.2 Hair Cells and Otolith Organs
9.3 Directional Sensitivity of the Hair Cell
9.4 Elementary Model of Vestibular Motion Sensor
9.5 Semicircular Canals
9.6 Response to Sinusoidal Stimulation and Dynamics: the Bode Plot of Peripheral Vestibular System
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10 |
Chapter 10 Close Loop and Stability
Lecture Note: PDF - xxx kB
10.1 Closed Loop Systems
10.2 Examples of Feedback Systems
10.3 Block Diagram Manipulation: Stability, Sensitivity, Disturbance Rejection, Steady State Error
Workshop 4: Worksheet to be posted--- PDF xx kB
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11 |
Chapter 11 The Phase Plane and The State Space
Lecture Note: PDF - xxx kB
11.1 State Space Representations
11.2 The Phase Plane
11.3 Negative Real Roots
11.4 Stability of Linear Systems
11.5 Transfer Function to State Space
11.6 State Space to Transfer Function
11.7 Alternate State Space Representations
11.8 State Space Feedback Controller Design
11.9 State Space Observer Design
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12 |
Chapter 12 Case Study3: The Pupil Control System
Lecture Note: PDF - xxx kB
12.1 Information Flow Diagram of The Pupil Control System
12.2 Comparator
12.3 Logarithmic Sensitivity
12.4 Adaptation Dynamics
12.5 Information Content of the Neural Signals
12.6 The Generic Structure of Control Systems
Homework 4---Due: xxx yy, 2015
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