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 in | Medical & biological engineering & computing Vol. 40; no. 1; pp. 79 - 84 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Heidelberg
Springer
01.01.2002
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
ISSN | 0140-0118 1741-0444 |
DOI | 10.1007/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. |
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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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CitedBy_id | crossref_primary_10_1007_s10286_017_0417_7 crossref_primary_10_1111_j_1542_474X_2008_00219_x crossref_primary_10_1253_circj_68_634 crossref_primary_10_1007_s00540_012_1363_0 crossref_primary_10_1007_s11517_016_1492_y crossref_primary_10_1113_JP274065 crossref_primary_10_1016_j_jacc_2009_06_008 crossref_primary_10_1152_ajpheart_00464_2013 crossref_primary_10_1111_anec_12170 crossref_primary_10_1186_1471_2261_14_180 crossref_primary_10_3389_fnins_2019_00017 crossref_primary_10_1007_s10441_016_9295_y crossref_primary_10_1016_j_msard_2018_03_018 crossref_primary_10_1152_ajpheart_00438_2005 crossref_primary_10_1002_acr_23615 crossref_primary_10_1007_s00392_010_0253_4 crossref_primary_10_4015_S1016237213500166 crossref_primary_10_1097_HJH_0b013e3283487827 crossref_primary_10_1088_1361_6579_38_1_63 crossref_primary_10_1109_TBME_2004_827271 crossref_primary_10_1016_j_jacc_2005_06_062 crossref_primary_10_1007_s10439_010_0179_z crossref_primary_10_1016_j_cmpb_2019_02_002 crossref_primary_10_1097_HJH_0b013e328322fe4b |
Cites_doi | 10.1097/00004872-199917121-00020 10.1007/BF02345289 10.1042/cs0880103 10.1016/S0140-6736(97)11144-8 10.1109/10.8688 10.1161/01.CIR.93.8.1527 10.1016/S0002-8703(97)80011-7 10.1161/01.HYP.10.5.538 10.1111/j.1469-7793.1998.251by.x |
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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 |
Language | English |
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References | C. Polosa (BF02347699_CR8) 1984 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 |
References_xml | – volume-title: Evaluations and control of measurments year: 1991 ident: BF02347699_CR5 – volume: 17 start-page: 1905 year: 1999 ident: BF02347699_CR10 publication-title: J. Hypertens. doi: 10.1097/00004872-199917121-00020 – volume: 39 start-page: 338 year: 2001 ident: BF02347699_CR7 publication-title: Med. Biol. Eng. Comput. doi: 10.1007/BF02345289 – volume-title: Spectral analysis and times series year: 1981 ident: BF02347699_CR9 – volume: 88 start-page: 103 year: 1995 ident: BF02347699_CR12 publication-title: Clin. Sci. doi: 10.1042/cs0880103 – volume: 253 start-page: 680 year: 1987 ident: BF02347699_CR3 publication-title: Am. J. Physiol. – volume: 351 start-page: 478 year: 1998 ident: BF02347699_CR4 publication-title: Lancet doi: 10.1016/S0140-6736(97)11144-8 – volume: 35 start-page: 1033 year: 1988 ident: BF02347699_CR1 publication-title: IEEE Trans. Biomed. Eng. doi: 10.1109/10.8688 – volume: 93 start-page: 1527 year: 1995 ident: BF02347699_CR13 publication-title: Circulation doi: 10.1161/01.CIR.93.8.1527 – volume: 13 start-page: 879 year: 1997 ident: BF02347699_CR6 publication-title: Am. Heart. J. doi: 10.1016/S0002-8703(97)80011-7 – start-page: 277 volume-title: Mechanisms of blood pressure waves year: 1984 ident: BF02347699_CR8 – volume: 10 start-page: 538 year: 1987 ident: BF02347699_CR11 publication-title: Hypertension doi: 10.1161/01.HYP.10.5.538 – volume: 513.1 start-page: 251 year: 1998 ident: BF02347699_CR2 publication-title: J. Physiol. doi: 10.1111/j.1469-7793.1998.251by.x |
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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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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 |
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