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In medicine there is a physiological parameter known as ...
Sent to Health Experts June 04 07:44 PM

In medicine there is a physiological parameter known as SVR. There are two units of measure used for this parameter, "Woods Units" and "Dyn sec/cm-5". A factor of 80 is used to convert from one to the other. What does that factor of 80 represent, and if speaking about the latter units, how do you say the "cm-5" part of the units

 

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June 4 8:48 PM (1 hour and 3 minutes and 23 seconds later)
         
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June 4 10:48 PM (2 hours and 13 seconds later)
         
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Allow me to butt in. And I'm not after credit; that goes to Deborah. I'm wearing my professor's hat now.

The "cm-5" is "centimeter to the minus fifth power" and should be superscript. That is the negative fifth power, or the number of centimeters, say 10, multiplied by itself five time, but instead of being a large positive number, it is a small decimal fraction 10 x 10 x10 x 10 x 10 x 10 = 1,000,000. With the neative sign, it's 0.0000001.

The minus fifth power derives from the fact that area is in cm squared and flow is volume/sec and is cm cubed/sec.,Next force (dynes) is convrted to mm Hg or force /( cm x cm) pressure. Thus, the pressure exerted by the moving column of blood laterally on the wall of the vessel is a function of force, the area on which the force is bearing, and the volume/sec bearing on it.

Dynes is the unit of force and can be converted to mm Hg.

The formula you ask about is derived from flow (ml/sec) or (cubic cm per second), area (cm squared), and pressure (mm Hg/ cm x cm). That gives you cm to the fifth, but as we resolve the equation by multiplcation, the cm moves into the denomination and the positive fifth power becomes the negative fifth power.

Wood units come from the late English cardiologist Paul Wood, M.D. who said, "That's a hell-of-an -awakward unit to be putting into print." Someone then said, "Right-O, Paul, we'll call it a Wood unit." And so it came to pass.

A nice explanation should be found in Arthur C. Guyton's "Human Physiology and Mechanisms of Disease"

Wow, isn't this fun?

If it's not clear enough, let me know. I'l have one of my students translate it.

Teaching Doc


What I tell you is what I teach. I'm here to help improve your quality of life, and I'll work with you as long as necessary to help you.

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June 5 1:54 AM (3 hours and 5 minutes and 59 seconds later)
         
Reply to Deborah's Post: Teaching Doc, Deborah,

Thank you for your responses, but the links don't address the specific question, so please allow me to restate the focus of my 2 part question.

Part 1: What does the conversion factor of 80 represent in converting from "Wood Units" to "Dyn sec cm-5"? Why not use 50 or 103, etc?

Part 2: If a cm is a unit of length, and a square centimeter is a unit of area, and a cubic centimeter is a unit of volume, then what do we call a centimeter to the 5th? Can we call it square volume or cubic area? What do those look like?

George
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June 5 1:54 AM (35 seconds later)
         
Reply to Teaching Doc's Post: Teaching Doc, Deborah,

Thank you for your responses, but the links don't address the specific question, so please allow me to restate the focus of my 2 part question.

Part 1: What does the conversion factor of 80 represent in converting from "Wood Units" to "Dyn sec cm-5"? Why not use 50 or 103, etc?

Part 2: If a cm is a unit of length, and a square centimeter is a unit of area, and a cubic centimeter is a unit of volume, then what do we call a centimeter to the 5th? Can we call it square volume or cubic area? What do those look like?

George
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June 5 10:35 AM (8 hours and 40 minutes and 43 seconds later)
         
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Good morning. I'm back, but just for a moment.

In regard to Part 1, I will have to go through the derivation later today. In many cases a constant is a factor of convenience, but my vague memory tells me that in this case it is more than that.

Part 2? We don't have to call it anything. It is a derived unit. We could have expressed cm-5 as 1/(cm²xcm³). ['m rushing here. Don't take it as gospel. I have to think x vs. +.]

I'll be back later today.

Teaching Doc


What I tell you is what I teach. I'm here to help improve your quality of life, and I'll work with you as long as necessary to help you.

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June 6 1:55 AM (15 hours and 19 minutes and 32 seconds later)
         
Reply to Teaching Doc's Post: Thanks for your reply, and yes, this is fun. I look forward to seeing the final answer about the derivation of the constant "80", as you requested I "accepted" Deborah's response.
Thanks again
George
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June 6 9:45 AM (7 hours and 50 minutes and 30 seconds later)
         
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