1972
DOI: 10.1159/000169528
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A Mathematical Model to Assess Changes in the Baroreceptor Reflex

Abstract: A mathematical model relating carotid sinus pressure (CSP) to systemic arterial pressure (SAP) explains the relationship between CSP and SAP with an accuracy of 96 %. The 4 parameters of the model are all physiologically meaningful. They include: the total range of control of SAP (identified as A(l), in mm Hg); the sensitivity of the reflex response (identified as A(2), in mm Hg-1); the carotid sinus pressure from which equal pressor and depressor responses may be elicited (identified as A(3), in mm… Show more

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Cited by 371 publications
(293 citation statements)
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“…Data for the MAP-RSNA or MAP-HR relations during increases and decreases in MAP were fitted to a sigmoid logistic function curve. The equation used for the data analysis was based on the following mathematical model: 15,18 RSNA or HRϭP 1 /{1ϩexp[P 2 (MAP-P 3 )]}ϩP 4 In this equation, P 1 is the range between the upper and lower plateau; P 2 , a range-independent measure of slope or normalized gain; P 3 , the blood pressure at the midpoint of the logistic function curve; and P 4 , the lower plateau. Data were fit to the logistic function curve using a nonlinear regression program in the Statistical Analysis System (NLIN procedure, SAS Institute).…”
Section: Effects Of Icv Infusion Of Ghrelin On Baroreceptor Reflexmentioning
confidence: 99%
“…Data for the MAP-RSNA or MAP-HR relations during increases and decreases in MAP were fitted to a sigmoid logistic function curve. The equation used for the data analysis was based on the following mathematical model: 15,18 RSNA or HRϭP 1 /{1ϩexp[P 2 (MAP-P 3 )]}ϩP 4 In this equation, P 1 is the range between the upper and lower plateau; P 2 , a range-independent measure of slope or normalized gain; P 3 , the blood pressure at the midpoint of the logistic function curve; and P 4 , the lower plateau. Data were fit to the logistic function curve using a nonlinear regression program in the Statistical Analysis System (NLIN procedure, SAS Institute).…”
Section: Effects Of Icv Infusion Of Ghrelin On Baroreceptor Reflexmentioning
confidence: 99%
“…1) was assessed by a non-linear regression technique with a mod ified Marquardt algorithm, which fitted the data on a sigmoid logistic curve (11). Multiple comparisons between mean values before and after ischemia were performed using one-way analysis of variance followed by a control significant-difference method (Dunnett's t test).…”
Section: Statisticsmentioning
confidence: 99%
“…The maximum slope (maximum gain) was calculated as (P1 ϫ P2)/P4. The threshold pressure (Pth, lowest pressure that produces a significant decline in HR) and saturation pressure (pressure necessary to achieve maximal inhibition of HR) were calculated from the third derivative of the equation (16). The data were analyzed using a computer-based program (SigmaPlot2000, SPSS).…”
mentioning
confidence: 99%