Albert Hsia
Page 1
5/12/2009
1.
Introduction
Data and Overall Approach:
I have acquired various resources and data samples from the
websites Dr. Garcia has posted online. I have also read through the United States Census
publications, and some information on donating blood from the givelife2.org website, a
subsidiary site of RedCross.org. My population sample was drawn from the United States
Census Bureau’s website.
For my Actual Blood Supply and Actual Transfusion data, I used Dr.
Garcia’s “Data and Analysis Blood Supply” Excel Spreadsheet. I acquired my WholeBlood
Outdate Percentage from the NBCU report on Outdated Blood. The percentage of “eligible
donors” was mentioned in the healthywomen.org website, and the average amount of blood
drawn from a donor was given by the givelife2.org website.
My approach was to focus on having the ability to simulate actual data with one main
input. It is clear that the correlation between the nation’s population and the nation’s blood
supply is not strong enough to help us define a straightforward algorithm. However, if such
relationship can be found between the nation’s population and the actual blood supply, then we
can create a mathematical model. First, I determined the mathematical relationship between time
and the potential blood supply. Then I found the relationship between potential blood supply and
the actually blood supply in terms of a constant. If the constant fluctuates, then a regression line
would be used to characterize it. Thus, the final equation would be “the product between the
potential blood supply and the constant at any given time equals the actually blood supply at any
given time.”
Assumptions
: My model is based on assuming that only wholeblood is collected and
recorded in the data spreadsheet. I assumed that my population rises exponentially, though it
appears linear. This was done so that mathematical model would be more comprehendible when
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentAlbert Hsia
Page 2
5/12/2009
used to predict actual blood supply ahead of time. I also assumed that no factors would affect
population trend. Next, I assumed that percentage of eligible donors stayed consistent from the
1980s to 2004. I am certain about this assumption because the U.S. Census indicated that there
was no significant change in the population’s percentage of people between the ages of 18 and
65 for the past 20 years. I also assumed that only each person only contributes one unit of blood
per year. This is done to give the bare minimum potentiality of blood supply that seams more
realistic. For the transfusion calculation, I assumed that Dr. Garcia’s data was wholeblood only.
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '07
 Garcia
 Albert Hsia

Click to edit the document details