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Updated: Feb 15, 2026

Blood Flow Imaging with Ultrafast Doppler
Published on: October 14, 2020
Estimating Pressure Reactivity Using Noninvasive Doppler-Based Systolic Flow Index.
Frederick A Zeiler1,2,3, Peter Smielewski4, Joseph Donnelly4
11 Division of Anaesthesia, Addenbrooke's Hospital, University of Cambridge , Cambridge, United Kingdom .
This study developed models to estimate the pressure reactivity index (PRx) in traumatic brain injury (TBI) patients using noninvasive transcranial Doppler (TCD) measurements. These models accurately predict PRx, linking cerebral blood flow and pulsatile blood volume for better autoregulation assessment.
Area of Science:
- Neuroscience
- Biomedical Engineering
- Medical Statistics
Background:
- Cerebral autoregulation is crucial for managing blood flow in the brain, especially after traumatic brain injury (TBI).
- Estimating the pressure reactivity index (PRx) traditionally requires invasive intracranial pressure (ICP) monitoring.
- Noninvasive methods for assessing PRx are highly desirable in TBI management.
Purpose of the Study:
- To derive and validate models for estimating PRx using noninvasive transcranial Doppler (TCD) derived indices.
- To explore the relationship between TCD-based systolic (Sx_a) and mean (Mx_a) flow indices and PRx in TBI patients.
- To establish a link between cerebral blood flow dynamics and pulsatile cerebral blood volume using noninvasive measures.
Main Methods:
- Utilized a retrospective database of 347 TBI patients with ICP and TCD recordings.
- Applied autoregressive integrative moving average (ARIMA) and linear mixed-effects (LME) models to analyze PRx.
- Developed sequential LME models incorporating Sx_a and Mx_a to estimate PRx, assessing model adequacy and superiority using statistical criteria (AIC, BIC, LL, ANOVA).
Main Results:
- Identified an optimal ARIMA structure (2,0,2) for PRx in the TBI population.
- Two LME models demonstrated superior performance in estimating PRx: PRx ∼ Sx_a (R=0.794) and PRx ∼ Sx_a + Mx_a (R=0.814).
- Observed and estimated PRx showed acceptable agreement via Bland-Altman analysis, confirming model validity.
Conclusions:
- Noninvasive TCD-based indices (Sx_a, Mx_a) can effectively estimate PRx in TBI patients when analyzed with LME and ARIMA modeling.
- These findings establish a significant link between noninvasive measures of cerebral blood flow and pulsatile cerebral blood volume.
- Further research is warranted to validate these noninvasive PRx estimation models in clinical settings.
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