New criteria for estimating baroreflex sensitivity using the transfer function method

Computer simulations were carried out to appraise three new criteria for the estimation of baroreflex sensitivity (BRS) using the transfer function method. The major goal was to identify a computation procedure able to overcome the intrinsic limitations of the classical coherence criterion. Four rep...

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Published inMedical & biological engineering & computing Vol. 40; no. 1; pp. 79 - 84
Main Authors Pinna, G. D., Maestri, R.
Format Journal Article
LanguageEnglish
Published Heidelberg Springer 01.01.2002
Springer Nature B.V
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Online AccessGet full text
ISSN0140-0118
1741-0444
DOI10.1007/BF02347699

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Abstract Computer simulations were carried out to appraise three new criteria for the estimation of baroreflex sensitivity (BRS) using the transfer function method. The major goal was to identify a computation procedure able to overcome the intrinsic limitations of the classical coherence criterion. Four representative shapes of the gain function and three different average gains (2, 5 and 8 ms(mmHg)(-1) in the low-frequency (LF) band (0.04-0.15Hz) were considered. The signal-to-noise ratio was made to vary so that the peak coherence in the LF band changed from 0.15 to 0.9. All simulation parameters were derived from previous observations in healthy subjects and heart disease patients. The error of the estimated gain function was obtained from its confidence interval. BRS was computed as average gain in the LF band: (a) including in the average only those points having error < or = threshold (criterion 1, C1); (b) calculating the mean error in the band and accepting BRS measurements only when this error was < or = threshold (criterion 2, C2); (c) including in the average all points, regardless of the error (criterion 3, C3). The three criteria were compared in terms of measurability (percentage of measured BRS) and accuracy (bias and SD of BRS). Using C1 and C2, measurability dropped to 10% when the peak coherence in the LF band decreased, respectively, to 0.18-0.41 and to 0.26-0.53, depending on the shape and strength of the gain. In this condition (lower bound of measurability), worst bias and SD (average gain: 8 ms(mmHg)(-1)) were, respectively, 0.8 ms(mmHg)(-1) and 3.3ms(mmHg)(-1) (C1), and 0.1 ms(mmHg)(-1) and 1.0 ms(mmHg)(-1) (C2). C3, by definition, always ensured 100% measurability and showed bias and SD comparable with, or even lower than, C1 and C2, within the common range of measurable BRS. In the extreme condition of 0.15 coherence, bias and SD were, respectively, 1.7 ms(mmHg)(-1) and 2.3ms(mmHg)(-1) (average gain: 8ms(mmHg)(-1)). Hence, error checking (C1 and C2) dramatically reduced measurability and did not improve accuracy of BRS measurements compared with performing no error check (C3). In conditions of low signal-to-noise ratio and/or impaired baroreflex gain, leading to markedly reduced coherence, the simple average of the gain function in the LF band allows BRS to be estimated with accuracy adequate for clinical purposes.
AbstractList Computer simulations were carried out to appraise three new criteria for the estimation of baroreflex sensitivity (BRS) using the transfer function method. The major goal was to identify a computation procedure able to overcome the intrinsic limitations of the classical coherence criterion. Four representative shapes of the gain function and three different average gains (2, 5 and 8 ms(mmHg)(-1) in the low-frequency (LF) band (0.04-0.15Hz) were considered. The signal-to-noise ratio was made to vary so that the peak coherence in the LF band changed from 0.15 to 0.9. All simulation parameters were derived from previous observations in healthy subjects and heart disease patients. The error of the estimated gain function was obtained from its confidence interval. BRS was computed as average gain in the LF band: (a) including in the average only those points having error < or = threshold (criterion 1, C1); (b) calculating the mean error in the band and accepting BRS measurements only when this error was < or = threshold (criterion 2, C2); (c) including in the average all points, regardless of the error (criterion 3, C3). The three criteria were compared in terms of measurability (percentage of measured BRS) and accuracy (bias and SD of BRS). Using C1 and C2, measurability dropped to 10% when the peak coherence in the LF band decreased, respectively, to 0.18-0.41 and to 0.26-0.53, depending on the shape and strength of the gain. In this condition (lower bound of measurability), worst bias and SD (average gain: 8 ms(mmHg)(-1)) were, respectively, 0.8 ms(mmHg)(-1) and 3.3ms(mmHg)(-1) (C1), and 0.1 ms(mmHg)(-1) and 1.0 ms(mmHg)(-1) (C2). C3, by definition, always ensured 100% measurability and showed bias and SD comparable with, or even lower than, C1 and C2, within the common range of measurable BRS. In the extreme condition of 0.15 coherence, bias and SD were, respectively, 1.7 ms(mmHg)(-1) and 2.3ms(mmHg)(-1) (average gain: 8ms(mmHg)(-1)). Hence, error checking (C1 and C2) dramatically reduced measurability and did not improve accuracy of BRS measurements compared with performing no error check (C3). In conditions of low signal-to-noise ratio and/or impaired baroreflex gain, leading to markedly reduced coherence, the simple average of the gain function in the LF band allows BRS to be estimated with accuracy adequate for clinical purposes.Computer simulations were carried out to appraise three new criteria for the estimation of baroreflex sensitivity (BRS) using the transfer function method. The major goal was to identify a computation procedure able to overcome the intrinsic limitations of the classical coherence criterion. Four representative shapes of the gain function and three different average gains (2, 5 and 8 ms(mmHg)(-1) in the low-frequency (LF) band (0.04-0.15Hz) were considered. The signal-to-noise ratio was made to vary so that the peak coherence in the LF band changed from 0.15 to 0.9. All simulation parameters were derived from previous observations in healthy subjects and heart disease patients. The error of the estimated gain function was obtained from its confidence interval. BRS was computed as average gain in the LF band: (a) including in the average only those points having error < or = threshold (criterion 1, C1); (b) calculating the mean error in the band and accepting BRS measurements only when this error was < or = threshold (criterion 2, C2); (c) including in the average all points, regardless of the error (criterion 3, C3). The three criteria were compared in terms of measurability (percentage of measured BRS) and accuracy (bias and SD of BRS). Using C1 and C2, measurability dropped to 10% when the peak coherence in the LF band decreased, respectively, to 0.18-0.41 and to 0.26-0.53, depending on the shape and strength of the gain. In this condition (lower bound of measurability), worst bias and SD (average gain: 8 ms(mmHg)(-1)) were, respectively, 0.8 ms(mmHg)(-1) and 3.3ms(mmHg)(-1) (C1), and 0.1 ms(mmHg)(-1) and 1.0 ms(mmHg)(-1) (C2). C3, by definition, always ensured 100% measurability and showed bias and SD comparable with, or even lower than, C1 and C2, within the common range of measurable BRS. In the extreme condition of 0.15 coherence, bias and SD were, respectively, 1.7 ms(mmHg)(-1) and 2.3ms(mmHg)(-1) (average gain: 8ms(mmHg)(-1)). Hence, error checking (C1 and C2) dramatically reduced measurability and did not improve accuracy of BRS measurements compared with performing no error check (C3). In conditions of low signal-to-noise ratio and/or impaired baroreflex gain, leading to markedly reduced coherence, the simple average of the gain function in the LF band allows BRS to be estimated with accuracy adequate for clinical purposes.
Computer simulations were carried out to appraise three new criteria for the estimation of baroreflex sensitivity (BRS) using the tranfer function method. The major goal was to identify a computation procedure able to overcome the intrinsic limitations of the classical coherence criterion. Four representative shapes of the gain function and three different average agains (2, 5 and 8 ms(mmHg)^sup -1^) in the lowfrequency (LF) band (0.04-0.15 Hz) were considered. The signal-to-noise ratio was made to vary so that the peak coherence in the LF band changed from 0.15 to 0.9 All simulation parameters were derived from previous observations in healthy subjects and heart disease patients. The error of the estimated gain function was obtained from its confidence interval. BRS was computed as average gain in the LF band: (a) including in the average only those points having error≤ threshold (criterion 1, C1); (b) calculating the mean error in the band and accepting BRS measurements only when this error was ≤ threshold (criterion 2, C2); (c) including in the average all points, regardless of the error (criterion 3, C3). The three criteria were compared in terms of measurability (percentage of measured BRS) and accuracy (bias and SD of BRS). Using C1 and C2, measureability dropped to 10% when the peak cohrence in the LF band decreased, respectively, to 0.18-0.41 and to 0.26-0.53, depending on the shape and strength of the gain. In this condition (lower bound of measureability), worst bias and SD (average gain: 8 ms(mmHg)^sup -1^) were, respectively, 0.8 ms(mmHg)^sup -1^ and 3.3 ms(mmHg)^sup -1^ (C1), and 0.1 ms(mmHg)^sup -1^ and 1.0 ms(mmHg)^sup -1^ (C2), C3, by definition, always ensured 100% measurability and showed bias and SD comparable with, or even lower than, C1 and C2, within the common range of measurable BRS. In the extreme condition of 0.15 coherence, bias and SD were, respectively, 1.7 ms(mmHg)^sup -1^ and 2.3 ms(mmHg)^sup -1^ (average gain: 8 ms(mmHg)^sup -1^). Hence, error checking (C1 and C2) dramatically reduced measurability and did not improve accuracy of BRS measurements compared with performing no error check (C3). In conditions of low signal-to-noise ratio and/or impaired baroreflex gain, leading to markedly reduced coherence, the simple average of the gain function in the LF band allows BRS to be estimated with accuracy adequate for clinical purposes.[PUBLICATION ABSTRACT]
Computer simulations were carried out to appraise three new criteria for the estimation of baroreflex sensitivity (BRS) using the tranfer function method. The major goal was to identify a computation procedure able to overcome the intrinsic limitations of the classical coherence criterion. Four representative shapes of the gain function and three different average agains (2, 5 and 8 ms(mmHg) super(-1)) in the lowfrequency (LF) band (0.04-0.15 Hz) were considered. The signal-to-noise ratio was made to vary so that the peak coherence in the LF band changed from 0.15 to 0.9 All simulation parameters were derived from previous observations in healthy subjects and heart disease patients. The error of the estimated gain function was obtained from its confidence interval. BRS was computed as average gain in the LF band: (a) including in the average only those points having error, threshold (criterion 1, C1); (b) calculating the mean error in the band and accepting BRS measurements only when this error was , threshold (criterion 2, C2); (c) including in the average all points, regardless of the error (criterion 3, C3). The three criteria were compared in terms of measurability (percentage of measured BRS) and accuracy (bias and SD of BRS). Using C1 and C2, measureability dropped to 10% when the peak cohrence in the LF band decreased, respectively, to 0.18-0.41 and to 0.26-0.53, depending on the shape and strength of the gain. In this condition (lower bound of measureability), worst bias and SD (average gain: 8 ms(mmHg) super(-1)) were, respectively, 0.8 ms(mmHg) super(-1) and 3.3 ms(mmHg) super(-1) (C1), and 0.1 ms(mmHg) super(-1) and 1.0 ms(mmHg) super(-1) (C2), C3, by definition, always ensured 100% measurability and showed bias and SD comparable with, or even lower than, C1 and C2, within the common range of measurable BRS. In the extreme condition of 0.15 coherence, bias and SD were, respectively, 1.7 ms(mmHg) super(-1) and 2.3 ms(mmHg) super(-1) (average gain: 8 ms(mmHg) super(-1)). Hence, error checking (C1 and C2) dramatically reduced measurability and did not improve accuracy of BRS measurements compared with performing no error check (C3). In conditions of low signal-to-noise ratio and/or impaired baroreflex gain, leading to markedly reduced coherence, the simple average of the gain function in the LF band allows BRS to be estimated with accuracy adequate for clinical purposes.
Computer simulations were carried out to appraise three new criteria for the estimation of baroreflex sensitivity (BRS) using the transfer function method. The major goal was to identify a computation procedure able to overcome the intrinsic limitations of the classical coherence criterion. Four representative shapes of the gain function and three different average gains (2, 5 and 8 ms(mmHg)(-1) in the low-frequency (LF) band (0.04-0.15Hz) were considered. The signal-to-noise ratio was made to vary so that the peak coherence in the LF band changed from 0.15 to 0.9. All simulation parameters were derived from previous observations in healthy subjects and heart disease patients. The error of the estimated gain function was obtained from its confidence interval. BRS was computed as average gain in the LF band: (a) including in the average only those points having error < or = threshold (criterion 1, C1); (b) calculating the mean error in the band and accepting BRS measurements only when this error was < or = threshold (criterion 2, C2); (c) including in the average all points, regardless of the error (criterion 3, C3). The three criteria were compared in terms of measurability (percentage of measured BRS) and accuracy (bias and SD of BRS). Using C1 and C2, measurability dropped to 10% when the peak coherence in the LF band decreased, respectively, to 0.18-0.41 and to 0.26-0.53, depending on the shape and strength of the gain. In this condition (lower bound of measurability), worst bias and SD (average gain: 8 ms(mmHg)(-1)) were, respectively, 0.8 ms(mmHg)(-1) and 3.3ms(mmHg)(-1) (C1), and 0.1 ms(mmHg)(-1) and 1.0 ms(mmHg)(-1) (C2). C3, by definition, always ensured 100% measurability and showed bias and SD comparable with, or even lower than, C1 and C2, within the common range of measurable BRS. In the extreme condition of 0.15 coherence, bias and SD were, respectively, 1.7 ms(mmHg)(-1) and 2.3ms(mmHg)(-1) (average gain: 8ms(mmHg)(-1)). Hence, error checking (C1 and C2) dramatically reduced measurability and did not improve accuracy of BRS measurements compared with performing no error check (C3). In conditions of low signal-to-noise ratio and/or impaired baroreflex gain, leading to markedly reduced coherence, the simple average of the gain function in the LF band allows BRS to be estimated with accuracy adequate for clinical purposes.
Author Maestri, R.
Pinna, G. D.
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Issue 1
Keywords Computer simulation
Cardiovascular disease
Case control study
Low frequency
Time variation
Spectral analysis
Baroreflex
Heart disease
Arterial pressure
Circulatory system
Transfer function
Signal analysis
Payoff function
Signal to noise ratio
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Springer Nature B.V
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M. B. Priestley (BF02347699_CR9) 1981
H. W. J. Robbe (BF02347699_CR11) 1987; 10
G. Basselli (BF02347699_CR1) 1988; 35
R. W. Boer De (BF02347699_CR3) 1987; 253
M. T. Rovere La (BF02347699_CR4) 1998; 351
G. D. Pinna (BF02347699_CR7) 2001; 39
J. Mandel (BF02347699_CR5) 1991
P. Sleight (BF02347699_CR12) 1995; 88
D. Bertram (BF02347699_CR2) 1998; 513.1
J. A. Taylor (BF02347699_CR13) 1995; 93
A. Mortara (BF02347699_CR6) 1997; 13
A. Radaelli (BF02347699_CR10) 1999; 17
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Snippet Computer simulations were carried out to appraise three new criteria for the estimation of baroreflex sensitivity (BRS) using the transfer function method. The...
Computer simulations were carried out to appraise three new criteria for the estimation of baroreflex sensitivity (BRS) using the tranfer function method. The...
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StartPage 79
SubjectTerms Accuracy
Baroreflex
Bias
Biological and medical sciences
Cardiovascular system
Computer Simulation
Confidence intervals
Criteria
Error analysis
Errors
Fundamental and applied biological sciences. Psychology
Gain
Heart
Heart Diseases - physiopathology
Humans
Investigative techniques of hemodynamics
Investigative techniques, diagnostic techniques (general aspects)
Mathematical analysis
Mathematical models
Medical sciences
Models, Cardiovascular
Signal Processing, Computer-Assisted
Signal to noise ratio
Vertebrates: cardiovascular system
Title New criteria for estimating baroreflex sensitivity using the transfer function method
URI https://www.ncbi.nlm.nih.gov/pubmed/11954712
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