Lesson: Particle Sensing: The Coulter CounterContributed by: NSF CAREER Award and RET Program, Mechanical Engineering and Material Science, Pratt School of Engineering, Duke University
Educational Standards :
Pre-Req Knowledge (Return to Contents)
A basic understanding of circuits and the relationship between voltage, current and resistance (Ohm's Law); see the Assessment section for a few review questions/answers.
Learning Objectives (Return to Contents)
After this lesson, students should be able to:
Introduction/Motivation (Return to Contents)
How many of you have had a blood sample taken by a nurse or doctor? Do you know why a blood sample is taken? (Give students time to brainstorm, either as a class or in small groups, and share stories about having blood drawn.)
One way to analyze blood is to count the number of red and white blood cells and platelets in a sample. (Depending on the focus of your course, you may wish to expand to include more in-depth information at this point.) An illness or other physical ailment can alter the number of cells in your blood from normal counts. A low red blood count, for example, might indicate that a person has anemia, and a high red blood count may be an indication of heart disease. A high white cell count could be caused by an infection, while a low count might be a sign of a serious diseases, including cancer. So, the ability to accurately and quickly count the different blood cells in a sample is an important diagnostic tool.
The original method for counting cells was to place a drop of blood on a glass slide and count the number of cells by eye while looking through a microscope. (Show Figure 1, a photograph of a microscopic blood smear slide.) This method took around 30 minutes to complete and was prone to error. Why do you think this might be the case? (Give students time to discuss this idea. You might remind them that a single slide could only show a very small sample of blood.)
Today we are going to learn about the first commercially-available machine built by engineers to automate this procedure. This machine, called a Coulter counter, produced red blood cell counts that were 10 times more accurate in one-third of the time it took for technicians to perform blood counts through microscopes. Similar machines are used today, not only to automate blood cell counts, but to measure particle sizes and numbers in a wide variety of applications.
Lesson Background & Concepts for Teachers (Return to Contents)
Coulter Electric Sensing Zone Method
In 1953, engineer Wallace H. Coulter submitted a patent that proposed a deceptively simple method to count and measure the size of particles suspended in a fluid. This method, called the "electric sensing zone" method, uses the difference in resistance between a particle and surrounding fluid. The Coulter counter uses the concept of the resistivity to count particles.
Figure 2 shows a very basic Coulter counter. A test tube containing a conducting liquid is placed in a beaker also containing conducting liquid. A small aperture in the test tube connects the two. Two electrodes are placed in the beaker and in the test tube, and a voltage is applied between them through the aperture.
The particles to be counted, such as blood cells, are present in the liquid in the test tube. If the liquid level in the test tube is greater than that in the beaker, or if the test tube is pressurized, the fluid in the test tube flows into the beaker carrying the particles with it. The resistance between the two electrodes increases every time a non-conducting particle passes through the aperture. If the current between the two electrodes is being monitored, each drop in the current can be noted and the particles "counted."
We can assume that the resistance of the conducting solution in the beaker and in the test tube is negligible compared to the resistance through the aperture. The resistance between the two electrodes is then determined by the resistance of a cylinder of conducting solution and given by the relation:
In this equation,
Now, if a particle blocks part of the cylinder, the resistance will change (see Figure 3).
If the particle is an appreciable size compared to the width of the cylinder, the resistance of the cylinder, and hence the current flowing through the circuit, changes a measurable amount. If the particle is more conductive than the fluid, then the resistance of the aperture decreases. On the other hand, if the particle is less conductive than the fluid, the resistance of the aperture increases. (See Figure 4.) As the fluid being studied flows from one reservoir to the other through the cylinder, the number of particles can be monitored by counting how many times the current changes.
Associated Activities (Return to Contents)
Assessment (Return to Contents)
Physics Review: At the beginning of the lesson, ask students these questions to refresh their memories of basic circuits knowledge and the underlying scientific principles of the lesson:
Lesson Summary Assessment Homework
Summarize: In three to four paragraphs, summarize your findings during the Simple Coulter Counter Lab (the associated activity). Include in your discussion an explanation of how the review questions at the beginning of class are related to the lab.
Additional Multimedia Support (Return to Contents)
References (Return to Contents)
The Coulter Counter Model A Showcases at Chemical Heritage Foundation Exhibit. Beckman Coulter, Inc. Accessed August 31, 2010. http://www.beckmancoulter.com/resourcecenter/diagtoday/articles/DTO_Issue5_08/DTO_Issue5_08_ModelA.asp.
The Coulter Particle Counter/Sizer. Science-Projects.com. Accessed August 31, 2010. http://www.science-projects.com/Coulter/Coulter.htm
Graham, M. D. "The Coulter Principle: Foundation of an Industry." Journal of the Association for Laboratory Automation. December 2003: 72-81. Accessed January 8, 2014. http://jla.sagepub.com/content/8/6/72.full.pdf+html
Houwen, Berend. "Fifty years of hematology innovation: the Coulter Principle—Retrospective." Published November 2003. Medical Laboratory Observer, CBS Business Network. Accessed February 2011. http://findarticles.com/p/articles/mi_m3230/is_11_35/ai_111351102/
The ingredients of paint and their impact on paint properties. Published November 2005. Buildings.com. Accessed September 1, 2010. http://www.buildings.com/ArticleDetails/tabid/3321/ArticleID/2846/Default.aspx
Our Heritage—Wallace H. Coulter. Beckman Coulter, Inc. Accessed August 2009. http://www.beckmancoulter.com/hr/ourcompany/oc_WHCoulter_bio.asp.
U.S. Patent 2656508. Means for counting particles suspended in a fluid, October 20, 1953, Wallace H. Coulter.
Wallace H. Coulter (1913-1998) – Automated Blood Analysis. Updated August 2000. Lemelson—MIT Program. Accessed August 31, 2010. http://web.mit.edu/invent/iow/coulter.html
ContributorsJean Stave, Durham Public Schools, NC, Chuan-Hua Chen, Mechanical Engineering and Material Science, Duke University
Copyright© 2013 by Regents of the University of Colorado; original © 2010 Duke University
Supporting Program (Return to Contents)NSF CAREER Award and RET Program, Mechanical Engineering and Material Science, Pratt School of Engineering, Duke University
Acknowledgements (Return to Contents)
This digital library content was developed under an NSF CAREER Award (CBET- 08-46705) and an RET supplement (CBET-10-09869). However, these contents do not necessarily represent the policies of the National Science Foundation, and you should not assume endorsement by the federal government.