In general, nuclear medicd imaging may be divided into three categories: 1. Conventional or planar imaging 2 . Single photon emission computed tomography or SPECT 3. Positron emission tomography or PET
CONVENTIONAL OR PLANAR IMAGING
eRvlYd
7-1 A Simplifie
BME 220: Problem Set 5 (SOLUTIONS updated)
Due: Friday, May 8, 2015
Reading: Rosner Chapters 6.7-6.8, 6.10-6.11, 7.1-7.4, 7.7, 7.9-7.10, 8.1-8.
Part 1: Rosner, Pgs. 196-201, Problems: 6.20, 6.27-6.29, 6.99-6.100, 6.112
6.20) A 95% CI for ! is given by
(!)
If n(p/lOO) is an integer 9 the average of the CV =100% X (Sx 5) n 2 2
(np/100)th and (np/100 + 1)th largest observation 2 x. 2 (xi _ X)
_ if n(p/100) is not an integer '9 the (k+1)th largest n 2 i=1 1 S2 = i=1
sample point Ext _ n _1
n = number of obser
BME 325 HW4
1. R=1cm, D=2cm 2MHz Diffraction:
sin =1.22
D
kr sin =3.83
=
c 1540 m/s
=
=
f
2 MHz
2. A Mode: So named because it utilizes amplitude to display digital signals that are proportional to the
echo returned to the receiver, as a function of time.
BME 325 Homework 3
1. a) Roentgen: Is defined as the unit of radiation that will free a
4
2.58 10
Coulombs/kg of dry air. R is
measured independent of area. 1C/kg=3876 R, 1R=0.00877 Gy = 0.877 rads = 10mSv in dry air. An exposure
to 500 R (~5Sv) in 5 hour
BME 325 INTRODUCTION TO MEDICAL IMAGING
FALL 2016
A. SAHAKIAN
ASSIGNED Wednesday 11/9/16 DUE Wednesday 11/23/16
1)
6) What is the advantage of operating (i.e. choice of voltage bias) an ionization radiation detection tube
(e.g. a Geiger Muller tube) in th
8) a. Clinical use on humans: 3T
b. Research use on humans: 9.4T
c. Research on animals: 16.4 T
d. 1.2T (true) 1.5T (wide-bore)
9) In 2003 the Nobel Prize for Medicine was given to Paul Lauterbur and Sir Peter Mansfield for
discoveries that led to the dev
4. Anger
This is an Anger image of an intestine in order to find intestinal lymphoma. The tracer used was 99mTc in
the form HSA because it is stable in vivo and it gives distinct results of protein loss.
PET
This is a PET transverse image of a patient aff
BIOMEDICAL ENGINEERING 325
INTRODUCTION TO MEDICAL IMAGING
FALL 2016
A. SAHAKIAN
HOMEWORK ASSIGNMENT NUMBER 1
ASSIGNED Monday 9/26/2016 DUE Monday 10/3/16
1) Calculate the valley, ripple and average voltages for the following three x-ray generator tube hi
Brown University
Physics Department
PHYS 0060/0160
LAB D - 390
The Photoelectric Effect
References:
Tipler ,Modern Physics 4th edition pp.141-147.
Young and Freedman, University Physics with Modern Physics 11th ed., pp. 1445 -1453.
Cenco LED Plancks
BME 220: Problem Set 2 (SOLUTIONS)
Due: Friday, April 10, 2015
Reading: Rosner Chapter 3
Part 1: Descriptive Statistics (Using MATLAB)
Review the document Intro to Data Analysis in MATLAB (posted on Canvas).
1) Download the dataset HOSPITAL.xlsx from Canv
BME 220: Problem Set 8 (SOLUTIONS)
Due: December 2, 2015
Part I: Correlation
1. Let and be independent random variables with means ! and ! , and
variances ! and ! , respectively. Compute the following:
a) 3 + 2 + 1
BME 220: Problem Set
Due: Friday, October 23, 2015
1) Consider the distribution of total offensive points scored per game among NCAA
mens college basketball teams in a single season. This distribution is
approximately normal with a known population standa
6q uaq! ' z b 'ap!Imuop -ar aqj j o a j y - ~ l q A!jqa q ' 6 v m le!luauodxa ue 6q paq!~xapaq mSLOOJ~ a a uo!jaiDxa q~ ' ajg-jIv I ~ ~ O I Os ~ pauyap s paJais!u!urpe ap!lmuopm j o JI ! ! ! i m w e q 1 jo j~q~a~3xa 6poq aq1 ~ opj a p am!^ a q ~ , q g - 1
BME 325 INTRODUCTION TO MEDICAL IMAGING FALL 2010-2011 A. SAHAKIAN ASSIGNED Friday 11/12/10 DUE Friday 11/19/10 1) For a 1.5 T MRI system (imaging protons) having a field gradient of 2 G/cm, determine the center frequency and bandwidth of a slice-selectio
BIOMEDICAL ENGINEERING 325 INTRODUCTION TO MEDICAL IMAGING FALL 2010 A. SAHAKIAN THE LAST HOMEWORK ASSIGNMENT ASSIGNED Monday 11/22/10 DUE Wednesday 12/1/10
1) Work Problem (7) on the previous homework (on noise figure).
2) Consider the following hypothet
BIOMEDICAL ENGINEERING 325 INTRODUCTION TO MEDICAL IMAGING FALL 2010 A. SAHAKIAN HOMEWORK ASSIGNMENT NUMBER 3 ASSIGNED Friday October 8, 2010 Due Friday October 15
1) 2) 3) 4) Define and explain the differences between the Roentgen, Rad and Rem. Describe
BIOMEDICAL ENGINEERING 325 INTRODUCTION TO MEDICAL IMAGING FALL 2010 A. SAHAKIAN HOMEWORK ASSIGNMENT NUMBER 5 ASSIGNED Friday 11/5/10 DUE Friday 11/12/10
1) A sample of 99mTc containing 10 mCi/mL was prepared at 8 am. If 0.5 mCi is to be injected into a p
IUU~O n a a a
Nuclear properties of a few important nuclei in magnetic resonance imaging
Nucleus Mag. dipole moment, p m ~ 2.79 0.85 0.70 0.40 2.21 1.13 Nuclear spin number, I 112 1 112 1 312 112 Gyromagnetic ratio (radiandtesla) 2.7 X 10' 4.1 x lo7 6.7 x
Figurn 188 Photograph showing the observation window of a radio-frequency shielded mom (Courteoy of G Medical Systems, Milwaukes, Wisconsin). E
Electromugnetic radiation of 0-1 00 M Hz is reduced by 100 dB inside the magnet area.
1
Transm~tter
Coil &Gradi
Body cross-section
Frequency Encode Gradient (FEG)
\
-.-Net frequency at gradient location
Composite frequency
3 .u -
al
Receiver coil
n
$.
Digitization
5
v
Position
I
Fourier Transform (position decoder)
FIGURE 15-9. The frequency encode gradient ( FEG)
'have eq1 u oy ale ~ eqi pu&s Bu!mpo~d qa~eq)way ale ao!ls a r l ~! poo~q s A ' u le!lave aql u! su!ds el!qm p a~e~n~es u au ale u!ah aql utoy aq1.s 6u!6eur! aq) o~u! awlu! su!ds w 'pawlas s qels pale~nles p l ! aql lo aP!s Jemol eql E a3!1s6u!6eu! (e!lav
n30
Z=
n30
( X
0)
( )
n
t=
( X 0 )
s
( )
n
Steps in Hypothesis Testing
Binomial Confidence Interval for p(hat)
Trump vs Hillary 40% vs 60%
1) Assume normal approximation to
the bionmial
Mean=p, std=
Z=
p(1p)
n
p^ p
, Np(hat)q(hat)>5
std
2) Exact methods
W
BME 220: Problem Set 7
Reading: 516-534, 548-553
Rosner problems: 12.6 12.8, 12.14
Note: Not all solutions are in red below. Thats because it was easier for me to
manipulate the solutions in ppt and then cut and paste them in.
12.6 This is a one-
BIOMEDICAL ENGINEERING 325
INTRODUCTION TO MEDICAL IMAGING
FALL 2016
A. SAHAKIAN
HOMEWORK ASSIGNMENT NUMBER 3
ASSIGNED Monday October 10, 2016 Due Monday October 17
1)
Define and explain the differences and relationships between the Roentgen,
Rad, Rem, Si