Baroreflex Curve Fitting Using a WYSIWYG Boltzmann Sigmoidal Equation

Front Neurosci. 2021 Sep 27:15:697582. doi: 10.3389/fnins.2021.697582. eCollection 2021.

Abstract

Arterial baroreflex assessment using vasoactive substances enables investigators to collect data pairs over a wide range of blood pressures and reflex reactions. These data pairs relate intervals between heartbeats or sympathetic neural activity to blood pressure values. In an X-Y plot the data points scatter around a sigmoidal curve. After fitting the parameters of a sigmoidal function to the data, the graph's characteristics represent a rather comprehensive quantitative reflex description. Variants of the 4-parameter Boltzmann sigmoidal equation are widely used for curve fitting. Unfortunately, their 'slope parameters' do not correspond to the graph's actual slope which complicates the analysis and bears the risk of misreporting. We propose a modified Boltzmann sigmoidal function with preserved goodness of fit whose parameters are one-to-one equivalent to the sigmoidal curve's characteristics.

Keywords: Boltzmann sigmoidal equation; RR interval; baroreflex curve; baroreflex gain; baroreflex sensitivity; muscle sympathetic nerve activity; sigmoidal curve fitting.