Visualization of amplitude-phase relationships in entrainment processes

Abstract

In the present research the visualization of amplitude-phase relationships in entrainment processes is based on the expression serial time sections [3] allow tracing the behavior of different parameters of any rhythmical component of spectrum during a time which includes spans before, during and after any synchronizing (desynchronizing) event. There is a simple and noninvasive method for acquiring information on the visualization of amplitude-phase relationships. The method used the mathematical and graphic analysis simultaneously visualization the dynamics of amplitude, its statistical significance and acrophase in entrainment processes, the three modifications of serial sections was elaborated: procedure of adding logarithms of P-values-matrices, plotting 2D image and 3D image. As examples for illustration serial section method, automatic measurements of blood pressure (BP), both systolic (S) and diastolic (D), and heart rate (HR) were used. Five flights from Minneapolis (USA) to Saint-Petersburg (Russia) crossing 9 time zones and 4 flights in the opposite direction were performed during that time (during the second return flight, no measurements were taken). The simultaneous drop in amplitude and the rapid shift in acrophase associated with West-to-East flights, and more gradual changes for East-to-the-West flights led to the hypothesis that the rapid entrainment is performed by collapse of the rhythm at a singularity time point. Application of the present method has allowed the authors to carry out visualised dynamic chronobiological the control parameters of cardiovascular system. The method has higher diagnostic value in comparison with well-known procedures of an estimation of chronomedicine.

Keywords

• биоритмы
• методы анализа