Thursday, April 14, 2016

A five-parameter logistic equation for investigating asymmetry of curvature in baroreflex studies.

Ricketts JH, Head GA.
Am J Physiol. 1999 Aug;277(2 Pt 2):R441-54.

   This paper started off with the first two pages as a review of different techniques which had previously been used to mathematically describe baroreflex curves measuring arterial pressure against nerve activity and heart rate. It then went on to describe a new method, a 5-parameter equation, that was predicted to be able to account for asymmetry sometimes seen in baroreflex curves. The argument in favor of this new method was that it would be able to fit a curve better when the curve showed asymmetry between upper and lower limits, or differences in slope on either side of the midpoint. If no such asymmetry existed, the 5th parameter was averaged out and the formula was able to approximate the curve the same way a traditional 4-parameter equation would.
   The paper then went on to analyze pre-existing baroreflex data of MAP vs heart rate and renal nerve sympathetic activity in rabbits and dogs via 4- and 5- parameter curves - in both cases, they tested by forcing the curves to fit to the resting points and tested again without forcing them. They found that when there was an asymmetry in the curves of some subjects, the 5-parameter equation could account for it, though for the most part the 5-parameter method did not report values that were significantly different than the 4-parameter method. The biggest changes seemed to be caused by forcing the curve through the resting point, and according to this paper, doing that seems like a questionable technique. The paper did make a good point that even though this technique may not result in significantly different results over the 4-parameter technique in most cases, in cases where asymmetry is present, it will yield a more accurate result - and if you need it for one parameter, you should use the same technique for all parameters within a study. I think that's a pretty fair argument. -DH

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