BE 110. BIOTRANSPORT AND BIOREACTION PROCESSES
SPRING 2015
PROBLEM SET 2
Due April 16, 2015 (Thursday)
1. There are two concentric cylinders filled with a stagnant, aqueous solution (see figure
below). The concentration of protein i at r=Rc- is maintained

BE 110. BIOTRANSPORT AND BIOREACTION PROCESSES
SPRING 2015
PROBLEM SET 3
Due April 22, 2015 (WEDNESDAY)
Please put your homework in my mailbox in 5121 Engineering V by 1:30 PM.
Keep in mind that the office is closed from Noon to 1 PM.
1. You are swimming

BE 110. BIOTRANSPORT AND BIOREACTION PROCESSES
SPRING 2014
PROBLEM SET 3
Due April 23, 2014 (WEDNESDAY)
Please put your homework in my mailbox in 5121 Engineering V by 11:30 AM.
1. You are swimming in an extremely large pool, and see someone from your dor

BE 110. BIOTRANSPORT AND BIOREACTION PROCESSES
SPRING 2015
PROBLEM SET 1
Due April 9, 2015 (Thursday)
1. Derive the expression for the infinite series representation of sin(x). Only include terms
up to third order in x.
2. How many days will it take for a

BE 110. BIOTRANSPORT AND BIOREACTION PROCESSES
SPRING 2015
PROBLEM SET 2
Due April 16, 2015 (Thursday)
1. There are two concentric cylinders filled with a stagnant, aqueous solution (see figure
below). The concentration of protein i at r=Rc- is maintained

BE 110. BIOTRANSPORT AND BIOREACTION PROCESSES
SPRING 2015
PROBLEM SET 3
Due April 22, 2015 (WEDNESDAY)
Please put your homework in my mailbox in 5121 Engineering V by 1:30 PM.
Keep in mind that the office is closed from Noon to 1 PM.
1. You are swimming

BE 110. BIOTRANSPORT AND BIOREACTION PROCESSES
SPRING 2015
PROBLEM SET 4
Due April 30, 2015 (Thursday)
1. You are cooking vegetables by boiling them in a pot with an added flavor molecule. Due
to the boiling, you get fairly good mixing of the solution. At

BE 110. BIOTRANSPORT AND BIOREACTION PROCESSES
SPRING 2014
Additional Office Hour Problems for Week 6
1. Short answers
a. Write the species balance for the cell-surface dimer (D) given the mechanistic
reversible reaction below involving the dimer and cell

BE 110:
Receptor/Ligand Binding (cont.)
Lecture #9
Biotransport and Bioreaction Processes
Prof. Daniel T. Kamei
3
Kinetics of receptor/ligand trafficking
Kinetics of receptor/ligand binding (cont.)
Outline
Prof. Daniel T. Kamei
kf
Plasma membrane
L+R
C
kr

BE 110. BIOTRANSPORT AND BIOREACTION PROCESSES
SPRING 2015
PROBLEM SET 5
Due May 5, 2015 (Thursday)
1. In addition to becoming an expert in drug delivery, you have also become a master chef
in making ramen, i.e., a Japanese dish of noodles in broth. The r

BE 110. BIOTRANSPORT AND BIOREACTION PROCESSES
SPRING 2015
PROBLEM SET 1
Due April 9, 2015 (Thursday)
1. Derive the expression for the infinite series representation of sin(x). Only include terms
up to third order in x.
2. How many days will it take for a

BE 110:
Receptor/Ligand Trafficking
Lecture #10
Biotransport and Bioreaction Processes
Prof. Daniel T. Kamei
3
Return Exam 1
Combining diffusion with receptor/ligand binding and
trafficking
Kinetics of receptor/ligand trafficking
Outline
Prof. Daniel T. K

BE 100. BIOENGINEERING FUNDAMENTALS
SPRING 2015
Additional Problems before Exam 2
Not to be Turned In
1. You are working in a biotechnology company trying to deliver a small molecule drug to
cancer cells. When you first started at the company, you investi

BE 100. BIOENGINEERING FUNDAMENTALS
SPRING 2015
Additional Problems before Exam 1
Not to be Turned In
1. You are working in a drug delivery company, and your job involves loading a particular
anticancer drug into vesicles such as the one shown in the figu

BE 110:
Bioreactors (cont.)
Lecture #8
Biotransport and Bioreaction Processes
Prof. Daniel T. Kamei
3
Kinetics of receptor/ligand binding
Bioreactors (cont.)
Outline
Prof. Daniel T. Kamei
S
max S
K S S
A sterile feed (XF = 0) (no bacteria in the inlet)
St

BE 110. BIOTRANSPORT AND BIOREACTION PROCESSES
SPRING 2015
Discussion Problems for Week 2
1. Solve the following differential equations.
d2 f
f 0 where is a positive constant.
a.
dx 2
d2 f
b.
f 0 where is a positive constant.
dx 2
d2 f
c.
0 where is a

BE 100. BIOENGINEERING FUNDAMENTALS
SPRING 2015
Additional Problems before Exam 1
Not to be Turned In
1. You are working in a drug delivery company, and your job involves loading a particular
anticancer drug into vesicles such as the one shown in the figu

BE 110:
Lecture #2
Biotransport and Bioreaction Processes
(x0-l,y0,z0)
(x0,y0+l,z0)
x, y, and z directions.
Molecules move at speed u in each of the
Lattice spacing is l (distance of one jump).
any one of the six adjacent sites.
Collection of molecules at

BE 110:
Lecture #1
Biotransport and Bioreaction Processes
Thermodynamics is the discipline that describes equilibrium
states (BE 100).
Systems tend toward equilibrium where there are no
gradients in temperature, concentration, and velocity.
Equilibrium vs

BE 110:
Lecture #4
Biotransport and Bioreaction Processes
Need to incorporate convection and/or reduce the length scale.
See that a protein or virus diffusing only 1 cm can take an
extremely l
l long time.
i
Always have an idea of diffusivities and length

BE 110:
Biotransport and Bioreaction Processes
Lecture #3
Cartesian coordinate system
2
2
2
C
i v Ci v Ci v Ci D Ci Ci Ci R
x
y
z
i
Vi
2
z
t
x
y
y 2
z 2
x
Cylindrical coordinate system
1 C
C
C
C v C
C
1 2C 2C
i v Ci v Ci v Ci D 1 r Ci 1 Ci Ci R
2
r

BE 110:
Biotransport and Bioreaction Processes
Lecture #6
Diffusion and reaction in porous media (cont.)
Prof. Daniel T. Kamei
3
Material related to Exam #1
Point regarding ODEs that can be solved analytically.
Diffusion and reaction in porous media (cont

BE 110:
Lecture #5
Biotransport and Bioreaction Processes
A rate expression containing those concentrations would not be too
useful.
K
k forward
kreverse
vmax
KM
Equilibrium constants for individual, reversible reactions
Example
You can simplify the expr

BE 110:
Reaction Kinetics
Bioreactors
Will now move to
Tanks
Convection
3
Mass A ti Ki ti
M
Action Kinetics
Biotransport and Bioreaction Processes
Lecture #7
Current State of the Course
Diffusion
1D Steady-State
Prof. Daniel T. Kamei
Short review of the i

BE 110. BIOTRANSPORT AND BIOREACTION PROCESSES
SPRING 2015
PROBLEM SET 5
Due May 5, 2015 (Thursday)
1. In addition to becoming an expert in drug delivery, you have also become a master chef
in making ramen, i.e., a Japanese dish of noodles in broth. The r

BE 110. BIOTRANSPORT AND BIOREACTION PROCESSES
SPRING 2015
PROBLEM SET 6
Due May 14, 2014
1. Short answers
a. What is an approximate pH value for the environment of the endosome? Lets
say that you want to design a mutant that binds less tightly to the rec

BE 110. BIOTRANSPORT AND BIOREACTION PROCESSES
SPRING 2013
PROBLEM SET 8
Due May 30, 2013 (Thursday)
1. Short answers
a. When modeling signal transduction, if you have information to write differential
equations for the biochemical reaction steps, is your

BE 110. BIOTRANSPORT AND BIOREACTION PROCESSES
SPRING 2013
PROBLEM SET 9
Due June 6, 2013 (Thursday)
1. There is nothing to turn in for this problem, but please fill out the online evaluation form
for the instructor and teaching assistants. The target for

BE 110. BIOTRANSPORT AND BIOREACTION PROCESSES
SPRING 2013
PROBLEM SET 6
Due May 15, 2013 (WEDNESDAY)
Please put your homework in my mailbox in 5121 Engineering V by 1:30 PM.
1. Short answers
a. What is an approximate pH value for the environment of the e