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EE102: SYSTEMS & SIGNALS
HW: # 2
Posted: April 11
Hand In: April 17 IN CLASS
1. Problem 2.8 in Chaparro
2. Problem

BE 100. BIOENGINEERING FUNDAMENTALS
WINTER 2016
PROBLEM SET 2
Due January 21, 2016 (Thursday)
1. According to BLAST, what are the names of the ten proteins that are most homologous to
bovine serum albumin?
2. Short answers
a. Why are hydrogen atoms missin

EE 102 HW#1
Problem 1 (from Chaparro textbook 1.3):
Solution:
Problem 2:
Signal ( ) is given in the figure below. Using this information, sketch the following signals
(MATLAB is not required):
2
x(t)
1
0
-1
-1
0
1
t
2
3
a)
(
)
2
1.5
1
0.5
0
-0.5
-1
-5
b)

BE 100. BIOENGINEERING FUNDAMENTALS
WINTER 2016
PROBLEM SET 3
Due January 28, 2016 (Thursday)
1. Optical tweezer experiments are performed on single DNA molecules whereby a tension
is applied and the distance by which the DNA elongates is measured. For su

BE 100: Bioengineering Fundamentals
Lecture #14
Outline
Surface and interfacial tension (cont.)
General reaction and equilibrium constants
Receptors
One of the methods to rationally design proteins involves
modeling the binding between a receptor and a li

BE 100. BIOENGINEERING FUNDAMENTALS
WINTER 2016
PROBLEM SET 10
Not To Be Turned In
1. Lets consider a gas comprised of NA molecules of type A and NB molecules of type B.
Both NA and NB are each on the order of 1020 molecules. The type A molecules do not
i

BE 100. BIOENGINEERING FUNDAMENTALS
WINTER 2016
PROBLEM SET 8
Due March 3, 2016
1. Consider an aqueous solution containing two types of polypeptides (A and B). The
following self-assembly reaction occurs in this solution.
n A type A polypeptide molecules

BE 100: Bioengineering Fundamentals
Lecture #9
Outline
Partial molar properties
The Gibbs phase rule
The chemical potential
Review some of the different ways to write the chemical
potential
2
Prof. Daniel T. Kamei
Partial Molar Properties
3
Prof. Daniel T

Name:
Seating Number:
BE 100: BIOENGINEERING FUNDAMENTALS
WINTER 2016
Exam 1
February 2, 2016
1. (12 points) The molar internal energy of a monatomic solid (U) is related to the pressure
(P) and its molar volume (V) by the following relationship:
where is

BE 100: Bioengineering Fundamentals
Lecture #6
Outline
Calculus of thermodynamics
Will derive relationships to allow the use of experimentally
measured quantities in the determination of thermodynamic
properties that cannot be measured, such as internal e

BE 100. BIOENGINEERING FUNDAMENTALS
WINTER 2016
PROBLEM SET 9
Due March 10, 2016 (Thursday)
1. Please fill out the online evaluation form for the instructor and teaching assistants. Please
also answer the survey questions on that online form. Your evaluat

BE 100: Bioengineering Fundamentals
Lecture #13
Outline
Surfactants and self assembly (Part 2 - continued)
Shape factor and encapsulation
Surface and interfacial tension
2
Prof. Daniel T. Kamei
Surfactants and Self Assembly (Part 2 - Continued)
3
Prof. Da

BE 100: Bioengineering Fundamentals
Lecture #12
Outline
Phase separation (cont.)
Surfactants and self assembly (Part 2)
2
Prof. Daniel T. Kamei
Phase Separation (cont.)
3
Prof. Daniel T. Kamei
Binary Mixture
How to determine where the system will phase se

BE 100. BIOENGINEERING FUNDAMENTALS
WINTER 2016
PROBLEM SET 4
Due February 4, 2016 (Thursday)
1. You are asked to get a solution ready to perform cell culture. You first begin by
measuring out some deionized water (i.e., water with a low salt concentratio

BE 100. BIOENGINEERING FUNDAMENTALS
WINTER 2016
Additional Problems before Exam 1
Not to be Turned In
1. Lets consider a two-dimensional surface comprised of 1 mole of water. Note that the
surface is comprised of only one component (i.e., water). For such

BE 100: Bioengineering Fundamentals
Lecture #10
Outline
The chemical potential (cont.)
Review some of the different ways to write the chemical
potential
Molecular understanding of the chemical potential, Gibbs
free energy, enthalpy, and entropy using an i

BE 100. BIOENGINEERING FUNDAMENTALS
WINTER 2016
Additional Problems before Exam 2
Not to be Turned In
1. One particular charged polymer (polymer i) is added to the left-hand side compartment of
a diffusion cell that is filled with permeable water. The mol

BE 100. BIOENGINEERING FUNDAMENTALS
WINTER 2016
PROBLEM SET 5
Due February 11, 2016 (Thursday)
1. Short answers
a. At constant U, V, and n, which state function do you minimize or maximize?
b. What is a colligative property? Name two colligative propertie

BE 100. BIOENGINEERING FUNDAMENTALS
WINTER 2016
PROBLEM SET 7
Due February 25, 2016 (Thursday)
1. An inverted micelle has an aqueous core. Do you expect this aqueous core to be a
smaller or larger sphere for an ionic surfactant vs. a nonionic surfactant?

BE 100. BIOENGINEERING FUNDAMENTALS
WINTER 2016
PROBLEM SET 6
Due February 17, 2016 (WEDNESDAY)
Please put your homework in my mailbox in 5121 Engineering V by 1:30 PM.
Note that the office suite is closed from Noon to 1 PM.
1. You have an aqueous solutio

BE 100: Bioengineering Fundamentals
Lecture #8
Outline
Osmotic pressure (cont.)
Another example of minimizing the Gibbs free energy
Partial molar properties
2
Prof. Daniel T. Kamei
Osmotic Pressure (cont.)
3
Prof. Daniel T. Kamei
One View of Osmotic Press

BE 100: Bioengineering Fundamentals
Lecture #11
Outline
Issue of using different concentration units in the chemical
potential (cont.)
Surfactants and self assembly (Part 1)
Exam 2 details
Phase separation
Return Exam 1
2
Prof. Daniel T. Kamei
Different C

pharmacokinesis - what the body does to the drug
Electrostatic potential energy between 2 charges in a dielectric
Heat capacities: C = dQ/dT
molar heat cap: C= C/n
pharmacodynamics - what the drug does to the body
medium: = KQ1Q2/r (K is constant, Q is pa

BE 100: Bioengineering Fundamentals
Lecture #2
Outline
First Law of Thermodynamics for a Closed System (cont.)
This is the beginning point.
Want to eventually get to the chemical potential and the Gibbs
free energy which are the workhorses in biological
t

BE 100: Bioengineering Fundamentals
Lecture #7
Outline
Calculus of thermodynamics
Will derive relationships to allow the use of experimentally
measured quantities in the determination of thermodynamic
properties that cannot be measured, such as internal e

BE 100. BIOENGINEERING FUNDAMENTALS
WINTER 2016
SYLLABUS
General Information about the Course
1.1
Course Description and Administrative Issues
1.2
Schedule of Topics
1.3
Schedule for Homework Assignments
BE 100. BIOENGINEERING FUNDAMENTALS
WINTER 2016
Cou

BE 100: Bioengineering Fundamentals
Lecture #6
Outline
Calculus of thermodynamics
Will derive relationships to allow the use of experimentally
measured quantities in the determination of thermodynamic
properties that cannot be measured, such as internal e

BE 100: Bioengineering Fundamentals
Lecture #5
Outline
Future details
Second Law of Thermodynamics (cont.)
Entropy is a very important concept in biological
thermodynamics.
Showed in the last lecture that entropy is a physically intuitive
property.
Will n

BE 100: Bioengineering Fundamentals
Lecture #3
Outline
Internal energy of a protein (cont.)
Basics of molecular modeling (cont.)
Rotamers
Dead-end elimination
Energy function (cont.)
Homology modeling
Discuss screening of electrostatic interactions
2
Prof

BE 100: Bioengineering Fundamentals
Lecture #4
Outline
Points regarding Problem Set #1
Problem 6: Its a case where there can be multiple answers, and logical
reasoning is most important.
Problem 7: See how screening due to ions is used in bioengineering
a