title: Ð£ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ðµ Ð¿ÑÐ¾Ð¿ÑÑÐºÐ¾Ð² Ð²Ð¾ Ð²ÑÐµÐ¼ÐµÐ½Ð½ÑÑ ÑÑÐ´Ð°Ñ , Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð² Ñ Ð¾Ð´Ðµ ÑÐµÐ³Ð¸ÑÑÑÐ°ÑÐ¸Ð¸ ÑÑÐ¾Ð²Ð½Ñ Ð°ÑÑÐµÑÐ¸Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Gaps filling in time series obtained during registration of blood pressure
Creators: name: ÐÐ°Ð¹ÐºÐ¸Ð½, ÐÐ°Ð½Ð¸Ð¸Ð»
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2020
Subjects: Ð°Ð²ÑÐ¾ÑÐµÐ³ÑÐ»ÑÑÐ¸Ñ Ð¼Ð¾Ð·Ð³Ð¾Ð²Ð¾Ð³Ð¾ ÐºÑÐ¾Ð²Ð¾Ð¾Ð±ÑÐ°ÑÐµÐ½Ð¸Ñ
Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ°Ñ ÑÐ¸ÑÑÐµÐ¼Ð°
ÑÐ¿ÐµÐºÑÑÐ°Ð»ÑÐ½ÑÐ¹ Ð°Ð½Ð°Ð»Ð¸Ð·
Ð¾ÑÐµÐ½ÐºÐ° ÑÐ¿ÐµÐºÑÑÐ°
ÑÐ»ÑÑÐ°Ð¹Ð½ÑÐµ Ð¿ÑÐ¾ÑÐµÑÑÑ
ÐºÐ²Ð°Ð·Ð¸Ð¿ÐµÑÐ¸Ð¾Ð´Ð¸ÑÐµÑÐºÐ¸Ðµ Ð¿ÑÐ¾ÑÐµÑÑÑ
ÑÑÐ´Ñ Ð¤ÑÑÑÐµ
Ð¿ÑÐµÐ¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¤ÑÑÑÐµ
Ð±ÑÑÑÑÐ¾Ðµ Ð¿ÑÐµÐ¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¤ÑÑÑÐµ
autoregulation of cerebral blood flow
dynamic system
spectral analysis
spectral estimation
stochastic processes
quasiperiodic processes
Fourie series
Fourie transform
fast Fourie transform

description: ÐÐ¾Ð¼ÐµÐ¾ÑÑÐ°Ð·Ð¸Ñ ÑÐ°ÐºÐ¾Ð¹ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ, ÐºÐ°Ðº Ð¼Ð¾Ð·Ð³, Ð¾Ð±ÐµÑÐ¿ÐµÑÐ¸Ð²Ð°ÐµÑÑÑ ÑÐ°Ð±Ð¾ÑÐ¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ Ð°Ð²ÑÐ¾ÑÐµÐ³ÑÐ»ÑÑÐ¸Ð¸ Ð²Ð½ÑÑÑÐ¸Ð¼Ð¾Ð·Ð³Ð¾Ð²Ð¾Ð³Ð¾ ÐºÑÐ¾Ð²Ð¾Ð¾Ð±ÑÐ°ÑÐµÐ½Ð¸Ñ. ÐÑÐ±Ð¾Ðµ Ð¾ÑÐºÐ»Ð¾Ð½ÐµÐ½Ð¸Ðµ ÑÑÐ¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ Ð¾Ñ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ñ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ°Ð²Ð½Ð¾Ð²ÐµÑÐ¸Ñ Ð¿ÑÐ¸Ð²Ð¾Ð´Ð¸Ñ Ðº ÑÐµÑÑÐµÐ·Ð½ÑÐ¼ Ð¸ Ð½ÐµÐ¾Ð±ÑÐ°ÑÐ¸Ð¼ÑÐ¼ Ð¿Ð¾ÑÐ»ÐµÐ´ÑÑÐ²Ð¸ÑÐ¼. Ð­ÑÐ¾ Ð¾Ð±Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð°ÐºÑÑÐ°Ð»ÑÐ½Ð¾ÑÑÐ¸ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¹ Ð¿ÑÐ¾ÑÐµÑÑÐ¾Ð² Ð°Ð²ÑÐ¾ÑÐµÐ³ÑÐ»ÑÑÐ¸Ð¸. Ð¢Ð°ÐºÐ¸Ðµ ÑÐ°Ð±Ð¾ÑÑ Ð² Ð½Ð°ÑÑÐ¾ÑÑÐµÐµ Ð²ÑÐµÐ¼Ñ Ð²ÐµÐ´ÑÑÑÑ Ð¼Ð½Ð¾Ð³Ð¾ÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÐ¼Ð¸ Ð³ÑÑÐ¿Ð¿Ð°Ð¼Ð¸ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°ÑÐµÐ»ÐµÐ¹: Ð½ÐµÐ¹ÑÐ¾ÑÐ¸ÑÑÑÐ³Ð°Ð¼Ð¸, Ð½ÐµÐ¹ÑÐ¾ÑÐ¸Ð·Ð¸Ð¾Ð»Ð¾Ð³Ð°Ð¼Ð¸, Ð±Ð¸Ð¾ÑÐ¸Ð·Ð¸ÐºÐ°Ð¼Ð¸, Ð²ÐºÐ»ÑÑÐ°Ñ Ð¸ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÐºÐ¾Ð². ÐÐ±ÑÐµÐºÑÐ°Ð¼Ð¸ Ð½Ð°ÑÐ¸Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¹ ÑÐ²Ð»ÑÑÑÑÑ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐµ Ð¾ÑÐµÐ½ÐºÐ¸ Ð»Ð¸Ð½ÐµÐ¹Ð½Ð¾Ð¹ ÑÐºÐ¾ÑÐ¾ÑÑÐ¸ ÐºÑÐ¾Ð²Ð¾ÑÐ¾ÐºÐ° Ð² ÑÑÐµÐ´Ð½ÐµÐ¼Ð¾Ð·Ð³Ð¾Ð²Ð¾Ð¹ Ð°ÑÑÐµÑÐ¸Ð¸ Ð¸ Ð°ÑÑÐµÑÐ¸Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ. Ð­ÑÐ¸ Ð¸ÑÑÐ¾Ð´Ð½ÑÐµ Ð´Ð°Ð½Ð½ÑÐµ Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½Ñ Ð² Ð²Ð¸Ð´Ðµ Ð²ÑÐµÐ¼ÐµÐ½Ð½ÑÑ ÑÑÐ´Ð¾Ð². ÐÐ¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ Ð¾ÑÐµÐ½Ð¾Ðº ÑÑÐ¾ÑÐ°ÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ²ÑÐ·Ð¸ Ð¼ÐµÐ¶Ð´Ñ ÑÐ»ÑÑÐ°Ð¹Ð½ÑÐ¼Ð¸ Ð¿ÑÐ¾ÑÐµÑÑÐ°Ð¼Ð¸, ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ ÐºÐ¾ÑÐ¾ÑÑÑ Ð¿Ð¾Ð»ÑÑÐµÐ½Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐ¼ Ð¿ÑÑÐµÐ¼, â ÑÑÐ¾ Ð¾Ð´Ð½Ð¾ Ð¸Ð· Ð°ÐºÑÑÐ°Ð»ÑÐ½ÑÑ Ð½Ð°Ð¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ð¹ Ð² Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¸ Ð±Ð¸Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼ Ð°Ð²ÑÐ¾ÑÐµÐ³ÑÐ»ÑÑÐ¸Ð¸. Ð¢Ð°ÐºÑÑ Ð¾ÑÐµÐ½ÐºÑ Ð¼Ð¾Ð¶Ð½Ð¾ Ð¿Ð¾ÑÑÑÐ¾Ð¸ÑÑ ÑÐ¾Ð»ÑÐºÐ¾ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð½ÐµÑÐµÐ½Ð·ÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÑ Ð²ÑÐµÐ¼ÐµÐ½Ð½ÑÑ ÑÑÐ´Ð¾Ð². ÐÐ´Ð½Ð°ÐºÐ¾ Ð² ÐºÐ»Ð¸Ð½Ð¸ÑÐµÑÐºÐ¾Ð¹ Ð¿ÑÐ°ÐºÑÐ¸ÐºÐµ ÑÑÐ¾ ÑÑÐµÐ±Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð²ÑÐ¿Ð¾Ð»Ð½ÑÐµÑÑÑ ÑÐµÐ´ÐºÐ¾. Ð£ÑÑÑÐ°Ð½ÐµÐ½Ð¸Ðµ Ð¿ÑÐ¾Ð¿ÑÑÐºÐ¾Ð² Ð² ÑÐµÐ³Ð¸ÑÑÑÐ¸ÑÑÐµÐ¼ÑÑ Ð²ÑÐµÐ¼ÐµÐ½Ð½ÑÑ ÑÑÐ´Ð°Ñ â ÑÑÐ¾ Ð¾Ð´Ð½Ð° Ð¸Ð· Ð´Ð¾ÑÑÐ°ÑÐ¾ÑÐ½Ð¾ ÑÐ»Ð¾Ð¶Ð½ÑÑ Ð·Ð°Ð´Ð°Ñ Ð¾Ð±ÑÐ°Ð±Ð¾ÑÐºÐ¸ ÑÐµÐ°Ð»ÑÐ½ÑÑ Ð¼ÐµÐ´Ð¸ÐºÐ¾-Ð±Ð¸Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ñ Ð´Ð°Ð½Ð½ÑÑ.
description: Homeostasis of such a dynamic system as the brain is ensured by the operation of the autoregulation system of intracerebral circulation. Any deviation of this system from the state of dynamic equilibrium leads to severe and irreversible consequences. This is the rationale for the relevance of studies of autoregulation processes. Such work is currently being carried out by numerous groups of researchers: neurosurgeons, neurophysiologists, biophysicists, including mathematicians. The objects of our research are experimental estimates of the linear velocity of blood flow in the midbrain artery and blood pressure. These estimates are presented as time series. The construction of estimates of the stochastic relationship between random processes, the implementation of which has been obtained experimentally, is one of the relevant directions in the study of biological systems of autoregulation. These estimates can only be built based on uncensored time series. However, in clinical practice, this requirement is rarely met. Elimination of gaps in the recorded time series is one of the rather complex tasks of processing real biomedical data.