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BioE 1220: Biotransport Phenomena
Fall Semester, 2017 (2181)
of 1
Wed 13 Sep
Quiz 03 (10 pts)
1.
Name: _
List the steps in developing a mathematical model of a physical system (you may
not need
USE OF ANALOGY IN MODELING
"The use of metaphor and analogy is one of the most powerful intellectual methods for
developing understanding."
A Generally Accepted Assertion
"Metaphor and analogy can be
Chemical Kinetics
I.
Law of Mass Action
Chemical reactions involve changes in identity of chemical compounds. The rate of a reaction
(in units of moles of substance undergoing change per unit volume p
A. Balancing as a General Approach to Building Differential Equation
Models of Dynamic Systems
A quantity is conserved when we can account for all of it. Conserved quantities include
mass, energy, mom
C. Second Order Systems Momentum Balance with Multiple Dynamic
Elements
C.1. Example 1 Simple Translational Momentum Balance: Spinal
Compression in the Ejecting Pilot
C.1.a. Establish Objectives and L
1
PROBLEM 1.
Qin R1
Pin
R3
R2
R4
R5
PR5
Q4
Write the system differential equation (state variable or input-output format) for this
model for predicting a specific output given a specific input.
[Note:
In-Class Component
Introduction
Building Differential Equation Models of Dynamic Systems
o General Principles of Balancing Methods
o 1st Order Dynamic Systems
Material Balance
Thermal Energy Balance
I. Analog Representation of Hydraulic Systems
Formal approaches:
Linear Graph theory across and through variables
Bond Graphing effort and flow variables
Electrical Circuit theory effort and flow v
A. Second Order Systems More than one Dynamic Component
A.1. Example 1 Two Basin System
A.1.a. Establish Objectives and Level of Sophistication
Teaching Objectives:
using balancing techniques applied
Name:_
1.a
Give the definition of a dynamic system. (Note: Of course you can consult your notes,
but I expect you to describe this in your own special way (words). This doesnt have to
be a succinct an
B. Second Order Systems Multiple Conserved Quantities
B.1. Example 1 Administering Fluids and Drugs to a Patient in the
Intensive Care Unit
B.1.a. Problem Statement
A comatose patient in the intensive
Introduction
A.
Definition of a System
A system may be defined as:
a bounded collection of interacting elements giving rise to some collective behavior of
interest.
Consider the meaning behind the var
V. Sinusoidal Steady State Response from Transfer Function
In earlier portions of the course, we used the transfer function to conduct analysis of dynamic
systems including impedance analysis and pole
IV. Pole-Zero Analysis of Transfer Function
A. Motivation
Much of system behavior can be predicted from examination of the transfer function alone; it does
not necessarily require inverse Laplace tran
A. Electrical Charge Balance
A.1. Example: Differential Equation for Voltage-Current Relationship
in a RC circuit
A.1.a) Establish Objectives
Pedagogical Objective: Establish similarities between buil
II. S-Domain Representation of System Impedance
A.
Motivation
The impedance concept has historically played a major role in the analysis and characterization of
dynamic systems. Electrical engineers l
Rationale
There are many systems topics that are important to bioengineering education including dynamic
systems and control systems from the engineering sciences and systems physiology from the
biolo
A. The Characteristic Equation
In general, for a linear, time-invariant system with input, f(t), and response, y(t),
x(t)
y(t)
the SISO form of the differential equation relating the system response t
I.
The Laplace Transform
A.
Motivation
In many instances, Laplace transform methods provide a convenient means of solving differential
equations. The advantage of the Laplace method is that both the n
I. Common Sources of Nonlinearity in Biodynamic Models
A. System geometry
1. rotational momentum
2. volume to linear-dimension transformations
B. Nonlinear physical constitutive relationships
1. Pres
I.
Simple Enzyme Kinetics
One of the most ubiquitous kinetic events in biological systems is the enzyme catalyzed
biochemical reaction. Enzyme kinetics are important for the reason that enzymatic reac
IV. Analog Representation of Chemical Systems
Analog representation of chemical systems is much less intuitive than for hydraulic, thermal, or
mechanical systems. For that reason, analog modeling of c
Analytical Solution of Dynamic System Equations
Analytical solutions of system differential equations are the preferred means for developing
expectations about system behavior. Unfortunately, analytic
III. Transfer Function
A.
Motivation
A transfer function is an s-domain function by which the Laplace transform of an input function is
multiplied to obtain the Laplace transform of the output functio
III. Analog Representation of Thermal Systems
Analog representation of thermal systems is a good place to start our study of analog models
because it is reasonably intuitive and because analog modelin
II. Analog Representation of Mechanical Systems
A. Dichotomy Between Electrical and Mechanical Analogy
1. Parallel arranged elements
Below are two symbolic representations of seemingly similar dynamic
Bending analysis
Part 3
Shear stress
Learning Objective
What is bending?
What kind of stress state arises in this case?
How to calculate normal stresses? Bending
Moment Diagram (BMD)
How to calcu
BioE 1210 : BioThermodynamics
Spring Term, 2017 (2174)
page 1 of 7
Exam 3 Study Guide (2174)
CLOSED BOOK. NO CALCULATOR.
You are free to consult with anyone other than your TAs and instructor in devel
BioE 1210 : BioThermodynamics
Spring Term, 2017 (2174)
page 1 of 4
Exam 2 Study Guide (2174)
CLOSED BOOK. NO CALCULATOR.
You are free to consult with anyone other than your TAs and instructor in devel