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Table 1 Overview of the carotid ultrasound-based and clinical features that were studied. Per feature, the source necessary for its computation is specified. A description or formula is added if appropriate. If a feature was extracted per beat, the values were averaged to obtain a single value for the measurement period

From: Exploring the predictive value of carotid Doppler ultrasound and clinical features for spinal anesthesia-induced hypotension: a prospective observational study

Source

Feature (units)

Description or formula, if appropriate

Carotid ultrasound – velocity waveform

Peak systolic velocity (PSV) per beat (cm/s)

Maximal amplitude per beat

Systolic foot velocity (SFV) per beat (cm/s)

Amplitude of the systolic foot per beat

Mean of the velocity waveform (cm/s)

Mean value of the entire velocity waveform

Velocity time integral (VTI) per beat (cm)

The area under the velocity waveform for a single beat

Interdecile range (cm/s)

\(90^{\mathrm{th}}-10^{\mathrm{th}}\;\mathrm{quantile}\) values of the velocity waveform

Signal stability index (no unit)

A heuristic measure of the quality of the signal based on the kernel density estimate, as described in (Joshi et al. 2018)

Signal instability index (no unit)

Bandwidth of the kernels from the kernel density estimate, as described in (Joshi et al. 2018)

Skewness of the velocity waveform (no unit)

A measure of the asymmetry of the distribution around the sample mean. A positive skewness implies that the data spreads out to the left of the sample mean

Kurtosis of the velocity waveform (no unit)

A measure that defines how heavily the tails of a distribution differ from the tails of a normal distribution, i.e., whether the tails contain extreme values. A positive kurtosis refers to a heavy-tailed distribution, indicating large outliers

Pulsatility index (no unit)

\(\frac{\mathrm{PSV}-\mathrm{SFV}}{\mathrm{mean}\;\mathrm{of}\;\mathrm{the}\;\mathrm{velocity}\;\mathrm{waveform}}\)

Resistive index (no unit)

\(\frac{\mathrm{PSV}-\mathrm{SFV}}{\mathrm{PSV}}\)

Corrected carotid flow time (ccFT) (ms)

\(\frac{\mathrm{systolic}\;\mathrm{flow}\;\mathrm{time}}{\sqrt{\mathrm{cycle}\;\mathrm{time}}}\)

Respirophasic peak velocity variation (ΔVpeak) (%)

\(\frac{PSV_{max}-PSV_{min}}{\frac12\left(PSV_{max}+PSV_{min}\right)}\times100\%\)

Carotid ultrasound – ensemble average of the velocity waveform

Acceleration (cm/s2)

\(\frac{\mathrm{PSV}-\mathrm{SFV}}{\mathrm{rise}\;\mathrm{time}}\)

Relative acceleration time (no unit)

\(\frac{\mathrm{rise}\;\mathrm{time}}{\mathrm{length}\;\mathrm{of}\;\mathrm{the}\;\mathrm{cardiac}\;\mathrm{cycle}}\)

Deceleration (cm/s2)

\(\frac{\mathrm{PSV}-\mathrm{SFV}}{\mathrm{fall}\;\mathrm{time}}\)

Full-width half-maximum (FWHM) (s)

The width of the waveform shape at half (50%) of its maximum amplitude

Relative FWHM (no unit)

\(\frac{\mathrm{FWHM}}{\mathrm{length}\;\mathrm{of}\;\mathrm{the}\;\mathrm{cardiac}\;\mathrm{cycle}}\)

Ratio of the full-width at 75% of the peak to the full-width at 50% of the peak (FWQ3_to_FWHM) (no unit)

\(\frac{\mathrm{full}-\mathrm{width}\;\mathrm{at}\;75\%\;\mathrm{maximum}\;\mathrm{amplitute}}{\mathrm{FWHM}}\)

Velocity-based flow augmentation index (FAI) (no unit)

\(\frac{\mathrm{secondary}\;\mathrm{systolic}\;\mathrm{peak}-\mathrm{SFV}}{\mathrm{PSV}-\mathrm{SFV}}\)

Electronic health record

Age (years)

 

Sex

 

Weight (kg)

 

Height (m)

 

American Society of Anesthesiologists (ASA) class (no unit)

 

Fasting time (min)

 

Baseline measurements

Baseline systolic blood pressure (SBP) (mmHg)

Noninvasively obtained with a brachial cuff

Baseline mean arterial pressure (MAP) (mmHg)

Noninvasively obtained with a brachial cuff

  1. ASA class American Society of Anesthesiologists classification, ccFT corrected carotid flow time, ΔVpeak respirophasic peak velocity variation, MAP mean arterial pressure, FAI flow augmentation index, FWHM full-width half-maximum, FWQ3_to_FWHM ratio of the full-width at 75% of the peak to the FWHM, PSV peak systolic velocity, SBP systolic blood pressure, SFV systolic foot velocity, VTI velocity time integral