Platiša, Mirjana M.

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orcid::0000-0002-0915-2823
  • Platiša, Mirjana M. (10)
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Author's Bibliography

Two Operational Modes of Cardio-Respiratory Coupling Revealed by Pulse-Respiration Quotient

Kalauzi, Aleksandar; Matić, Zoran; Platiša, Mirjana M.; Bojić, Tijana

(2023)

TY  - JOUR
AU  - Kalauzi, Aleksandar
AU  - Matić, Zoran
AU  - Platiša, Mirjana M.
AU  - Bojić, Tijana
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10708
AB  - Due to the fact that respiratory breath-to-breath and cardiac intervals between two successive R peaks (BBI and RRI, respectively) are not temporally concurrent, in a previous paper, we proposed a method to calculate both the integer and non-integer parts of the pulse respiration quotient (PRQ = BBI/RRI = PRQint + b1 + b2), b1 and b2 being parts of the border RRIs for each BBI. In this work, we study the correlations between BBI and PRQ, as well as those between BBI and mean RRI within each BBI (mRRI), on a group of twenty subjects in four conditions: in supine and standing positions, in combination with spontaneous and slow breathing. Results show that the BBI vs. PRQ correlations are positive; whereas the breathing regime had little or no effect on the linear regression slopes, body posture did. Two types of scatter plots were obtained with the BBI vs. mRRI correlations: one showed points aggregated around the concurrent PRQint lines, while the other showed randomly distributed points. Five out of six of the proposed aggregation measures confirmed the existence of these two cardio-respiratory coupling regimes. We also used b1 to study the positions of R pulses relative to the respiration onsets and showed that they were more synchronous with sympathetic activation. Overall, this method should be used in different pathological states.
T2  - Bioengineering
T1  - Two Operational Modes of Cardio-Respiratory Coupling Revealed by Pulse-Respiration Quotient
VL  - 10
IS  - 2
SP  - 180
DO  - 10.3390/bioengineering10020180
ER  - 
@article{
author = "Kalauzi, Aleksandar and Matić, Zoran and Platiša, Mirjana M. and Bojić, Tijana",
year = "2023",
abstract = "Due to the fact that respiratory breath-to-breath and cardiac intervals between two successive R peaks (BBI and RRI, respectively) are not temporally concurrent, in a previous paper, we proposed a method to calculate both the integer and non-integer parts of the pulse respiration quotient (PRQ = BBI/RRI = PRQint + b1 + b2), b1 and b2 being parts of the border RRIs for each BBI. In this work, we study the correlations between BBI and PRQ, as well as those between BBI and mean RRI within each BBI (mRRI), on a group of twenty subjects in four conditions: in supine and standing positions, in combination with spontaneous and slow breathing. Results show that the BBI vs. PRQ correlations are positive; whereas the breathing regime had little or no effect on the linear regression slopes, body posture did. Two types of scatter plots were obtained with the BBI vs. mRRI correlations: one showed points aggregated around the concurrent PRQint lines, while the other showed randomly distributed points. Five out of six of the proposed aggregation measures confirmed the existence of these two cardio-respiratory coupling regimes. We also used b1 to study the positions of R pulses relative to the respiration onsets and showed that they were more synchronous with sympathetic activation. Overall, this method should be used in different pathological states.",
journal = "Bioengineering",
title = "Two Operational Modes of Cardio-Respiratory Coupling Revealed by Pulse-Respiration Quotient",
volume = "10",
number = "2",
pages = "180",
doi = "10.3390/bioengineering10020180"
}
Kalauzi, A., Matić, Z., Platiša, M. M.,& Bojić, T.. (2023). Two Operational Modes of Cardio-Respiratory Coupling Revealed by Pulse-Respiration Quotient. in Bioengineering, 10(2), 180.
https://doi.org/10.3390/bioengineering10020180
Kalauzi A, Matić Z, Platiša MM, Bojić T. Two Operational Modes of Cardio-Respiratory Coupling Revealed by Pulse-Respiration Quotient. in Bioengineering. 2023;10(2):180.
doi:10.3390/bioengineering10020180 .
Kalauzi, Aleksandar, Matić, Zoran, Platiša, Mirjana M., Bojić, Tijana, "Two Operational Modes of Cardio-Respiratory Coupling Revealed by Pulse-Respiration Quotient" in Bioengineering, 10, no. 2 (2023):180,
https://doi.org/10.3390/bioengineering10020180 . .
3
3

Structure of Poincaré plots revealed by their graph analysis and low pass filtering of the RRI time series

Kalauzi, Aleksandar; Matić, Zoran; Bojić, Tijana; Platiša, Mirjana M.

(2023)

TY  - JOUR
AU  - Kalauzi, Aleksandar
AU  - Matić, Zoran
AU  - Bojić, Tijana
AU  - Platiša, Mirjana M.
PY  - 2023
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10507
AB  - ObjectivesIn order to reveal their structure, Poincaré plots (PP) of electrocardiogram (ECG) RR intervals (RRI) were studied as linear edge planar directed graphs, obtained by connecting all their sequential points. We were also aimed at studying their graph complexity properties.MethodsRRI signals were subjected to a series of different window length (WL) Moving Average Low Pass (MALP) filters. For each filtered graph, four standard PP descriptors: Pearson’s coefficient, SD1, SD2, and SD2/SD1 were calculated, as well as four new graph complexity measures: mean angle between adjacent graph edges; mean number of edge crossings; directional complexity and directional entropy. This approach was applied to signals of twenty young healthy subjects, recorded in four experimental conditions – combination of two body postures (supine and standing) and two breathing regimes (spontaneous and slow 0.1 Hz).ResultsWe found that PP graphs consist of two superimposed components: one originating from Respiratory Sinus Arrhythmia (RSA) oscillations, the other from slow variations (SV) of the RRI time series. This result was further corroborated by observing the transformation of a PP cloud shape occurring in filtered graphs. When applied to subjects, the outcome was that three measures significantly differentiated the two breathing regimes in the RSA region of the WL domain, while four other measures were able to differentiate two body postures in the SV WL region.DiscussionAfter obtaining these results in healthy, we expect to successfully apply this approach to patients suffering from different pathological conditions.
T2  - Biomedical Signal Processing and Control
T1  - Structure of Poincaré plots revealed by their graph analysis and low pass filtering of the RRI time series
VL  - 80
SP  - 104352
DO  - 10.1016/j.bspc.2022.104352
ER  - 
@article{
author = "Kalauzi, Aleksandar and Matić, Zoran and Bojić, Tijana and Platiša, Mirjana M.",
year = "2023",
abstract = "ObjectivesIn order to reveal their structure, Poincaré plots (PP) of electrocardiogram (ECG) RR intervals (RRI) were studied as linear edge planar directed graphs, obtained by connecting all their sequential points. We were also aimed at studying their graph complexity properties.MethodsRRI signals were subjected to a series of different window length (WL) Moving Average Low Pass (MALP) filters. For each filtered graph, four standard PP descriptors: Pearson’s coefficient, SD1, SD2, and SD2/SD1 were calculated, as well as four new graph complexity measures: mean angle between adjacent graph edges; mean number of edge crossings; directional complexity and directional entropy. This approach was applied to signals of twenty young healthy subjects, recorded in four experimental conditions – combination of two body postures (supine and standing) and two breathing regimes (spontaneous and slow 0.1 Hz).ResultsWe found that PP graphs consist of two superimposed components: one originating from Respiratory Sinus Arrhythmia (RSA) oscillations, the other from slow variations (SV) of the RRI time series. This result was further corroborated by observing the transformation of a PP cloud shape occurring in filtered graphs. When applied to subjects, the outcome was that three measures significantly differentiated the two breathing regimes in the RSA region of the WL domain, while four other measures were able to differentiate two body postures in the SV WL region.DiscussionAfter obtaining these results in healthy, we expect to successfully apply this approach to patients suffering from different pathological conditions.",
journal = "Biomedical Signal Processing and Control",
title = "Structure of Poincaré plots revealed by their graph analysis and low pass filtering of the RRI time series",
volume = "80",
pages = "104352",
doi = "10.1016/j.bspc.2022.104352"
}
Kalauzi, A., Matić, Z., Bojić, T.,& Platiša, M. M.. (2023). Structure of Poincaré plots revealed by their graph analysis and low pass filtering of the RRI time series. in Biomedical Signal Processing and Control, 80, 104352.
https://doi.org/10.1016/j.bspc.2022.104352
Kalauzi A, Matić Z, Bojić T, Platiša MM. Structure of Poincaré plots revealed by their graph analysis and low pass filtering of the RRI time series. in Biomedical Signal Processing and Control. 2023;80:104352.
doi:10.1016/j.bspc.2022.104352 .
Kalauzi, Aleksandar, Matić, Zoran, Bojić, Tijana, Platiša, Mirjana M., "Structure of Poincaré plots revealed by their graph analysis and low pass filtering of the RRI time series" in Biomedical Signal Processing and Control, 80 (2023):104352,
https://doi.org/10.1016/j.bspc.2022.104352 . .

Sensitivity Estimations in Favor of Using Inter-fractal Angle in Detrended Fluctuation Analysis

Matić, Zoran; Kalauzi, Aleksandar; Platiša, Mirjana M.; Bojić, Tijana

(2022)

TY  - CONF
AU  - Matić, Zoran
AU  - Kalauzi, Aleksandar
AU  - Platiša, Mirjana M.
AU  - Bojić, Tijana
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10513
AB  - It has become common in research with detrended fluctuation analysis (DFA) to use slopes of regression lines (α1 and α2) and their ratio as measures of fractal properties of dynamical processes such as physiological rhythm fluctuations. In this study, instead of the ratio (α1/α2) in DFA of ECG RR intervals and respiratory signals, we propose the use of a new measure: the inter-fractal angle (θ) - angle that DFA regression lines form between each other. Methods. Angle θ was obtained by means of graphical-analytical calculation. Using one way-Anova test, sensitivity of θ on the influence of slow breathing and orthostasis was compared in respect to ratio α1/α2. Results. Comparisons revealed that changes of (θ) were statistically more significant than changes of αl/α2. Conclusion. Inter-fractal angle is an elegant new measure of DFA that is more sensitive to perturbations such as changes in body posture and breathing regime than α1/α2.
C3  - 2022 12th Conference of the European Study Group on Cardiovascular Oscillations (ESGCO)
T1  - Sensitivity Estimations in Favor of Using Inter-fractal Angle in Detrended Fluctuation Analysis
SP  - 1
EP  - 2
DO  - 10.1109/ESGCO55423.2022.9931387
ER  - 
@conference{
author = "Matić, Zoran and Kalauzi, Aleksandar and Platiša, Mirjana M. and Bojić, Tijana",
year = "2022",
abstract = "It has become common in research with detrended fluctuation analysis (DFA) to use slopes of regression lines (α1 and α2) and their ratio as measures of fractal properties of dynamical processes such as physiological rhythm fluctuations. In this study, instead of the ratio (α1/α2) in DFA of ECG RR intervals and respiratory signals, we propose the use of a new measure: the inter-fractal angle (θ) - angle that DFA regression lines form between each other. Methods. Angle θ was obtained by means of graphical-analytical calculation. Using one way-Anova test, sensitivity of θ on the influence of slow breathing and orthostasis was compared in respect to ratio α1/α2. Results. Comparisons revealed that changes of (θ) were statistically more significant than changes of αl/α2. Conclusion. Inter-fractal angle is an elegant new measure of DFA that is more sensitive to perturbations such as changes in body posture and breathing regime than α1/α2.",
journal = "2022 12th Conference of the European Study Group on Cardiovascular Oscillations (ESGCO)",
title = "Sensitivity Estimations in Favor of Using Inter-fractal Angle in Detrended Fluctuation Analysis",
pages = "1-2",
doi = "10.1109/ESGCO55423.2022.9931387"
}
Matić, Z., Kalauzi, A., Platiša, M. M.,& Bojić, T.. (2022). Sensitivity Estimations in Favor of Using Inter-fractal Angle in Detrended Fluctuation Analysis. in 2022 12th Conference of the European Study Group on Cardiovascular Oscillations (ESGCO), 1-2.
https://doi.org/10.1109/ESGCO55423.2022.9931387
Matić Z, Kalauzi A, Platiša MM, Bojić T. Sensitivity Estimations in Favor of Using Inter-fractal Angle in Detrended Fluctuation Analysis. in 2022 12th Conference of the European Study Group on Cardiovascular Oscillations (ESGCO). 2022;:1-2.
doi:10.1109/ESGCO55423.2022.9931387 .
Matić, Zoran, Kalauzi, Aleksandar, Platiša, Mirjana M., Bojić, Tijana, "Sensitivity Estimations in Favor of Using Inter-fractal Angle in Detrended Fluctuation Analysis" in 2022 12th Conference of the European Study Group on Cardiovascular Oscillations (ESGCO) (2022):1-2,
https://doi.org/10.1109/ESGCO55423.2022.9931387 . .
1
1

Pulse respiration quotient as a measure sensitive to changes in dynamic behavior of cardiorespiratory coupling such as body posture and breathing regime

Matić, Zoran; Kalauzi, Aleksandar; Moser, Maximilian; Platiša, Mirjana M.; Lazarević, Mihailo; Bojić, Tijana

(2022)

TY  - JOUR
AU  - Matić, Zoran
AU  - Kalauzi, Aleksandar
AU  - Moser, Maximilian
AU  - Platiša, Mirjana M.
AU  - Lazarević, Mihailo
AU  - Bojić, Tijana
PY  - 2022
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/10599
AB  - In this research we explored the (homeo)dynamic character of cardiorespiratory coupling (CRC) under the influence of different body posture and breathing regimes. Our tool for it was the pulse respiration quotient (PRQ), representing the number of heartbeat intervals per breathing cycle. We obtained non-integer PRQ values using our advanced Matlab® algorithm and applied it on the signals of 20 healthy subjects in four conditions: supine position with spontaneous breathing (Supin), standing with spontaneous breathing (Stand), supine position with slow (0.1 Hz) breathing (Supin01) and standing with slow (0.1 Hz) breathing (Stand01).Main results: Linear features of CRC (in PRQ signals) were dynamically very sensitive to posture and breathing rhythm perturbations. There are obvious increases in PRQ mean level and variability under the separated and joined influence of orthostasis and slow (0.1 Hz) breathing. This increase was most pronounced in Stand01 as the state of joint influences. Importantly, PRQ dynamic modification showed greater sensitivity to body posture and breathing regime changes than mean value and standard deviation of heart rhythm and breathing rhythm. In addition, as a consequence of prolonged supine position, we noticed the tendency to integer quantization of PRQ (especially after 14 min), in which the most common quantization number was 4:1 (demonstrated in other research reports as well). In orthostasis and slow breathing, quantization can also be observed, but shifted to other values. We postulate that these results manifest resonance effects induced by coupling patterns from sympathetic and parasympathetic adjustments (with the second as dominant factor).Significance: Our research confirms that cardiorespiratory coupling adaptability could be profoundly explored by precisely calculated PRQ parameter since cardiorespiratory regulation in healthy subjects is characterized by a high level of autonomic adaptability (responsiveness) to posture and breathing regime, although comparisons with pathological states has yet to be performed. We found Stand01 to be the most provoking state for the dynamic modification of PRQ (cardiorespiratory inducement). As such, Stand01 has the potential of using for PRQ tuning by conditioning the cardiorespiratory autonomic neural networks, e.g., in the cases where PRQ is disturbed by environmental (i.e., microgravity) or pathologic conditions.
T2  - Frontiers in Physiology
T1  - Pulse respiration quotient as a measure sensitive to changes in dynamic behavior of cardiorespiratory coupling such as body posture and breathing regime
VL  - 13
DO  - 10.3389/fphys.2022.946613
ER  - 
@article{
author = "Matić, Zoran and Kalauzi, Aleksandar and Moser, Maximilian and Platiša, Mirjana M. and Lazarević, Mihailo and Bojić, Tijana",
year = "2022",
abstract = "In this research we explored the (homeo)dynamic character of cardiorespiratory coupling (CRC) under the influence of different body posture and breathing regimes. Our tool for it was the pulse respiration quotient (PRQ), representing the number of heartbeat intervals per breathing cycle. We obtained non-integer PRQ values using our advanced Matlab® algorithm and applied it on the signals of 20 healthy subjects in four conditions: supine position with spontaneous breathing (Supin), standing with spontaneous breathing (Stand), supine position with slow (0.1 Hz) breathing (Supin01) and standing with slow (0.1 Hz) breathing (Stand01).Main results: Linear features of CRC (in PRQ signals) were dynamically very sensitive to posture and breathing rhythm perturbations. There are obvious increases in PRQ mean level and variability under the separated and joined influence of orthostasis and slow (0.1 Hz) breathing. This increase was most pronounced in Stand01 as the state of joint influences. Importantly, PRQ dynamic modification showed greater sensitivity to body posture and breathing regime changes than mean value and standard deviation of heart rhythm and breathing rhythm. In addition, as a consequence of prolonged supine position, we noticed the tendency to integer quantization of PRQ (especially after 14 min), in which the most common quantization number was 4:1 (demonstrated in other research reports as well). In orthostasis and slow breathing, quantization can also be observed, but shifted to other values. We postulate that these results manifest resonance effects induced by coupling patterns from sympathetic and parasympathetic adjustments (with the second as dominant factor).Significance: Our research confirms that cardiorespiratory coupling adaptability could be profoundly explored by precisely calculated PRQ parameter since cardiorespiratory regulation in healthy subjects is characterized by a high level of autonomic adaptability (responsiveness) to posture and breathing regime, although comparisons with pathological states has yet to be performed. We found Stand01 to be the most provoking state for the dynamic modification of PRQ (cardiorespiratory inducement). As such, Stand01 has the potential of using for PRQ tuning by conditioning the cardiorespiratory autonomic neural networks, e.g., in the cases where PRQ is disturbed by environmental (i.e., microgravity) or pathologic conditions.",
journal = "Frontiers in Physiology",
title = "Pulse respiration quotient as a measure sensitive to changes in dynamic behavior of cardiorespiratory coupling such as body posture and breathing regime",
volume = "13",
doi = "10.3389/fphys.2022.946613"
}
Matić, Z., Kalauzi, A., Moser, M., Platiša, M. M., Lazarević, M.,& Bojić, T.. (2022). Pulse respiration quotient as a measure sensitive to changes in dynamic behavior of cardiorespiratory coupling such as body posture and breathing regime. in Frontiers in Physiology, 13.
https://doi.org/10.3389/fphys.2022.946613
Matić Z, Kalauzi A, Moser M, Platiša MM, Lazarević M, Bojić T. Pulse respiration quotient as a measure sensitive to changes in dynamic behavior of cardiorespiratory coupling such as body posture and breathing regime. in Frontiers in Physiology. 2022;13.
doi:10.3389/fphys.2022.946613 .
Matić, Zoran, Kalauzi, Aleksandar, Moser, Maximilian, Platiša, Mirjana M., Lazarević, Mihailo, Bojić, Tijana, "Pulse respiration quotient as a measure sensitive to changes in dynamic behavior of cardiorespiratory coupling such as body posture and breathing regime" in Frontiers in Physiology, 13 (2022),
https://doi.org/10.3389/fphys.2022.946613 . .
1
4
4

Slow 0.1 Hz Breathing and Body Posture Induced Perturbations of RRI and Respiratory Signal Complexity and Cardiorespiratory Coupling

Matić, Zoran; Platiša, Mirjana M.; Kalauzi, Aleksandar; Bojić, Tijana

(2020)

TY  - JOUR
AU  - Matić, Zoran
AU  - Platiša, Mirjana M.
AU  - Kalauzi, Aleksandar
AU  - Bojić, Tijana
PY  - 2020
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/8848
AB  - Objective: We explored the physiological background of the non-linear operating mode of cardiorespiratory oscillators as the fundamental question of cardiorespiratory homeodynamics and as a prerequisite for the understanding of neurocardiovascular diseases. We investigated 20 healthy human subjects for changes using electrocardiac RR interval (RRI) and respiratory signal (Resp) Detrended Fluctuation Analysis (DFA, α1RRI, α2RRI, α1Resp, α2Resp), Multiple Scaling Entropy (MSERRI1−4, MSERRI5−10, MSEResp1−4, MSEResp5−10), spectral coherence (CohRRI−Resp), cross DFA (ρ1 and ρ2) and cross MSE (XMSE1−4 and XMSE5−10) indices in four physiological conditions: supine with spontaneous breathing, standing with spontaneous breathing, supine with 0.1 Hz breathing and standing with 0.1 Hz breathing. Main results: Standing is primarily characterized by the change of RRI parameters, insensitivity to change with respiratory parameters, decrease of CohRRI−Resp and insensitivity to change of in ρ1, ρ2, XMSE1−4, and XMSE5−10. Slow breathing in supine position was characterized by the change of the linear and non-linear parameters of both signals, reflecting the dominant vagal RRI modulation and the impact of slow 0.1 Hz breathing on Resp parameters. CohRRI−Resp did not change with respect to supine position, while ρ1 increased. Slow breathing in standing reflected the qualitatively specific state of autonomic regulation with striking impact on both cardiac and respiratory parameters, with specific patterns of cardiorespiratory coupling. Significance: Our results show that cardiac and respiratory short term and long term complexity parameters have different, state dependent patterns. Sympathovagal non-linear interactions are dependent on the pattern of their activation, having different scaling properties when individually activated with respect to the state of their joint activation. All investigated states induced a change of α1 vs. α2 relationship, which can be accurately expressed by the proposed measure—inter-fractal angle θ. Short scale (α1 vs. MSE1−4) and long scale (α2 vs. MSE5−10) complexity measures had reciprocal interrelation in standing with 0.1 Hz breathing, with specific cardiorespiratory coupling pattern (ρ1 vs. XMSE1−4). These results support the hypothesis of hierarchical organization of cardiorespiratory complexity mechanisms and their recruitment in ascendant manner with respect to the increase of behavioral challenge complexity. Specific and comprehensive cardiorespiratory regulation in standing with 0.1 Hz breathing suggests this state as the potentially most beneficial maneuver for cardiorespiratory conditioning. © Copyright © 2020 Matić, Platiša, Kalauzi and Bojić.
T2  - Frontiers in Physiology
T1  - Slow 0.1 Hz Breathing and Body Posture Induced Perturbations of RRI and Respiratory Signal Complexity and Cardiorespiratory Coupling
VL  - 11
SP  - 24
DO  - 10.3389/fphys.2020.00024
ER  - 
@article{
author = "Matić, Zoran and Platiša, Mirjana M. and Kalauzi, Aleksandar and Bojić, Tijana",
year = "2020",
abstract = "Objective: We explored the physiological background of the non-linear operating mode of cardiorespiratory oscillators as the fundamental question of cardiorespiratory homeodynamics and as a prerequisite for the understanding of neurocardiovascular diseases. We investigated 20 healthy human subjects for changes using electrocardiac RR interval (RRI) and respiratory signal (Resp) Detrended Fluctuation Analysis (DFA, α1RRI, α2RRI, α1Resp, α2Resp), Multiple Scaling Entropy (MSERRI1−4, MSERRI5−10, MSEResp1−4, MSEResp5−10), spectral coherence (CohRRI−Resp), cross DFA (ρ1 and ρ2) and cross MSE (XMSE1−4 and XMSE5−10) indices in four physiological conditions: supine with spontaneous breathing, standing with spontaneous breathing, supine with 0.1 Hz breathing and standing with 0.1 Hz breathing. Main results: Standing is primarily characterized by the change of RRI parameters, insensitivity to change with respiratory parameters, decrease of CohRRI−Resp and insensitivity to change of in ρ1, ρ2, XMSE1−4, and XMSE5−10. Slow breathing in supine position was characterized by the change of the linear and non-linear parameters of both signals, reflecting the dominant vagal RRI modulation and the impact of slow 0.1 Hz breathing on Resp parameters. CohRRI−Resp did not change with respect to supine position, while ρ1 increased. Slow breathing in standing reflected the qualitatively specific state of autonomic regulation with striking impact on both cardiac and respiratory parameters, with specific patterns of cardiorespiratory coupling. Significance: Our results show that cardiac and respiratory short term and long term complexity parameters have different, state dependent patterns. Sympathovagal non-linear interactions are dependent on the pattern of their activation, having different scaling properties when individually activated with respect to the state of their joint activation. All investigated states induced a change of α1 vs. α2 relationship, which can be accurately expressed by the proposed measure—inter-fractal angle θ. Short scale (α1 vs. MSE1−4) and long scale (α2 vs. MSE5−10) complexity measures had reciprocal interrelation in standing with 0.1 Hz breathing, with specific cardiorespiratory coupling pattern (ρ1 vs. XMSE1−4). These results support the hypothesis of hierarchical organization of cardiorespiratory complexity mechanisms and their recruitment in ascendant manner with respect to the increase of behavioral challenge complexity. Specific and comprehensive cardiorespiratory regulation in standing with 0.1 Hz breathing suggests this state as the potentially most beneficial maneuver for cardiorespiratory conditioning. © Copyright © 2020 Matić, Platiša, Kalauzi and Bojić.",
journal = "Frontiers in Physiology",
title = "Slow 0.1 Hz Breathing and Body Posture Induced Perturbations of RRI and Respiratory Signal Complexity and Cardiorespiratory Coupling",
volume = "11",
pages = "24",
doi = "10.3389/fphys.2020.00024"
}
Matić, Z., Platiša, M. M., Kalauzi, A.,& Bojić, T.. (2020). Slow 0.1 Hz Breathing and Body Posture Induced Perturbations of RRI and Respiratory Signal Complexity and Cardiorespiratory Coupling. in Frontiers in Physiology, 11, 24.
https://doi.org/10.3389/fphys.2020.00024
Matić Z, Platiša MM, Kalauzi A, Bojić T. Slow 0.1 Hz Breathing and Body Posture Induced Perturbations of RRI and Respiratory Signal Complexity and Cardiorespiratory Coupling. in Frontiers in Physiology. 2020;11:24.
doi:10.3389/fphys.2020.00024 .
Matić, Zoran, Platiša, Mirjana M., Kalauzi, Aleksandar, Bojić, Tijana, "Slow 0.1 Hz Breathing and Body Posture Induced Perturbations of RRI and Respiratory Signal Complexity and Cardiorespiratory Coupling" in Frontiers in Physiology, 11 (2020):24,
https://doi.org/10.3389/fphys.2020.00024 . .
2
12
2
15

Generalized Poincaré plots analysis of heart period dynamics in different physiological conditions: Trained vs. untrained men

Platiša, Mirjana M.; Bojić, Tijana; Mazić, Sanja D.; Kalauzi, Aleksandar

(2019)

TY  - JOUR
AU  - Platiša, Mirjana M.
AU  - Bojić, Tijana
AU  - Mazić, Sanja D.
AU  - Kalauzi, Aleksandar
PY  - 2019
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/8413
AB  - Background Recently we proposed a new method called generalized Poincare´ plot (gPp) analysis which gave a new insight into the pattern of neurocaridac control. In this study we examined potential of gPp method to reveal changes in cardiac neural control in young athletes during three conditions: supine rest, running and relaxation, with respect to untrained subjects. Methods This method is based on the quantification of Pearson's correlation coefficients r(j, k), between symmetrical (j = k) and asymmetrical summed j previous and k following RR intervals up to the 100th order (j,k.100). Results Differences between groups were obtained at all levels of this analysis. The main result is the significant difference of NAI, normalized index of asymmetry, between groups in running, which was originated in different positions of local maxima of r(j, k). Compared with untrained subjects, these findings indicate modified neural control and altered intrinsic heart rate behavior in athletes which are related to some kind of memory mechanism between RR intervals. Conclusion Obtained results provide great potential of gPp method analysis in the recognition of changes in neurocardiac control in healthy subjects. Further studies are needed for identification of altered cardiac regulatory mechanisms whose background may be useful in the evaluation of genesis of athletes neurocardiovascular pathology. © 2019 Platiša et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
T2  - PLOS One
T1  - Generalized Poincaré plots analysis of heart period dynamics in different physiological conditions: Trained vs. untrained men
VL  - 14
IS  - 7
SP  - e0219281
DO  - 10.1371/journal.pone.0219281
ER  - 
@article{
author = "Platiša, Mirjana M. and Bojić, Tijana and Mazić, Sanja D. and Kalauzi, Aleksandar",
year = "2019",
abstract = "Background Recently we proposed a new method called generalized Poincare´ plot (gPp) analysis which gave a new insight into the pattern of neurocaridac control. In this study we examined potential of gPp method to reveal changes in cardiac neural control in young athletes during three conditions: supine rest, running and relaxation, with respect to untrained subjects. Methods This method is based on the quantification of Pearson's correlation coefficients r(j, k), between symmetrical (j = k) and asymmetrical summed j previous and k following RR intervals up to the 100th order (j,k.100). Results Differences between groups were obtained at all levels of this analysis. The main result is the significant difference of NAI, normalized index of asymmetry, between groups in running, which was originated in different positions of local maxima of r(j, k). Compared with untrained subjects, these findings indicate modified neural control and altered intrinsic heart rate behavior in athletes which are related to some kind of memory mechanism between RR intervals. Conclusion Obtained results provide great potential of gPp method analysis in the recognition of changes in neurocardiac control in healthy subjects. Further studies are needed for identification of altered cardiac regulatory mechanisms whose background may be useful in the evaluation of genesis of athletes neurocardiovascular pathology. © 2019 Platiša et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.",
journal = "PLOS One",
title = "Generalized Poincaré plots analysis of heart period dynamics in different physiological conditions: Trained vs. untrained men",
volume = "14",
number = "7",
pages = "e0219281",
doi = "10.1371/journal.pone.0219281"
}
Platiša, M. M., Bojić, T., Mazić, S. D.,& Kalauzi, A.. (2019). Generalized Poincaré plots analysis of heart period dynamics in different physiological conditions: Trained vs. untrained men. in PLOS One, 14(7), e0219281.
https://doi.org/10.1371/journal.pone.0219281
Platiša MM, Bojić T, Mazić SD, Kalauzi A. Generalized Poincaré plots analysis of heart period dynamics in different physiological conditions: Trained vs. untrained men. in PLOS One. 2019;14(7):e0219281.
doi:10.1371/journal.pone.0219281 .
Platiša, Mirjana M., Bojić, Tijana, Mazić, Sanja D., Kalauzi, Aleksandar, "Generalized Poincaré plots analysis of heart period dynamics in different physiological conditions: Trained vs. untrained men" in PLOS One, 14, no. 7 (2019):e0219281,
https://doi.org/10.1371/journal.pone.0219281 . .
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Generalized Poincare Plots-A New Method for Evaluation of Regimes in Cardiac Neural Control in Atrial Fibrillation and Healthy Subjects

Platiša, Mirjana M.; Bojić, Tijana; Pavlović, Siniša U.; Radovanovic, Nikola N.; Kalauzi, Aleksandar

(2016)

TY  - JOUR
AU  - Platiša, Mirjana M.
AU  - Bojić, Tijana
AU  - Pavlović, Siniša U.
AU  - Radovanovic, Nikola N.
AU  - Kalauzi, Aleksandar
PY  - 2016
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/941
AB  - Classical Poincare plot is a standard way to measure nonlinear regulation of cardiovascular control. In our work we propose a generalized form of Poincare plot where we track correlation between the duration of j preceding and k next RR intervals. The investigation was done in healthy subjects and patients with atrial fibrillation, by varying j,k LT = 100. In cases where j = k, in healthy subjects the typical pattern was observed by paths that were substituting scatterplots and that were initiated and ended by loops of Poincare plot points. This was not the case for atrial fibrillation patients where Poincare plot had a simple scattered form. More, a typical matrix of Pearsons correlation coefficients, r(j,k), showed different positions of local maxima, depending on the subjects health condition. In both groups, local maxima were grouped into four clusters which probably determined specific regulatory mechanisms according to correlations between the duration of symmetric and asymmetric observed RR intervals. We quantified matrices degrees of asymmetry and found that they were significantly different: distributed around zero in healthy, while being negative in atrial fibrillation. Also, Pearsons coefficients were higher in healthy than in atrial fibrillation or in signals with reshuffled intervals. Our hypothesis is that by this novel method we can observe heart rate regimes typical for baseline conditions and defense reaction in healthy subjects. These data indicate that neural control mechanisms of heart rate are operating in healthy subjects in contrast with atrial fibrillation, identifying it as the state of risk for stress-dependent pathologies. Regulatory regimes of heart rate can be further quantified and explored by the proposed novel method.
T2  - Frontiers in Neuroscience
T1  - Generalized Poincare Plots-A New Method for Evaluation of Regimes in Cardiac Neural Control in Atrial Fibrillation and Healthy Subjects
VL  - 10
SP  - 38
DO  - 10.3389/fnins.2016.00038
ER  - 
@article{
author = "Platiša, Mirjana M. and Bojić, Tijana and Pavlović, Siniša U. and Radovanovic, Nikola N. and Kalauzi, Aleksandar",
year = "2016",
abstract = "Classical Poincare plot is a standard way to measure nonlinear regulation of cardiovascular control. In our work we propose a generalized form of Poincare plot where we track correlation between the duration of j preceding and k next RR intervals. The investigation was done in healthy subjects and patients with atrial fibrillation, by varying j,k LT = 100. In cases where j = k, in healthy subjects the typical pattern was observed by paths that were substituting scatterplots and that were initiated and ended by loops of Poincare plot points. This was not the case for atrial fibrillation patients where Poincare plot had a simple scattered form. More, a typical matrix of Pearsons correlation coefficients, r(j,k), showed different positions of local maxima, depending on the subjects health condition. In both groups, local maxima were grouped into four clusters which probably determined specific regulatory mechanisms according to correlations between the duration of symmetric and asymmetric observed RR intervals. We quantified matrices degrees of asymmetry and found that they were significantly different: distributed around zero in healthy, while being negative in atrial fibrillation. Also, Pearsons coefficients were higher in healthy than in atrial fibrillation or in signals with reshuffled intervals. Our hypothesis is that by this novel method we can observe heart rate regimes typical for baseline conditions and defense reaction in healthy subjects. These data indicate that neural control mechanisms of heart rate are operating in healthy subjects in contrast with atrial fibrillation, identifying it as the state of risk for stress-dependent pathologies. Regulatory regimes of heart rate can be further quantified and explored by the proposed novel method.",
journal = "Frontiers in Neuroscience",
title = "Generalized Poincare Plots-A New Method for Evaluation of Regimes in Cardiac Neural Control in Atrial Fibrillation and Healthy Subjects",
volume = "10",
pages = "38",
doi = "10.3389/fnins.2016.00038"
}
Platiša, M. M., Bojić, T., Pavlović, S. U., Radovanovic, N. N.,& Kalauzi, A.. (2016). Generalized Poincare Plots-A New Method for Evaluation of Regimes in Cardiac Neural Control in Atrial Fibrillation and Healthy Subjects. in Frontiers in Neuroscience, 10, 38.
https://doi.org/10.3389/fnins.2016.00038
Platiša MM, Bojić T, Pavlović SU, Radovanovic NN, Kalauzi A. Generalized Poincare Plots-A New Method for Evaluation of Regimes in Cardiac Neural Control in Atrial Fibrillation and Healthy Subjects. in Frontiers in Neuroscience. 2016;10:38.
doi:10.3389/fnins.2016.00038 .
Platiša, Mirjana M., Bojić, Tijana, Pavlović, Siniša U., Radovanovic, Nikola N., Kalauzi, Aleksandar, "Generalized Poincare Plots-A New Method for Evaluation of Regimes in Cardiac Neural Control in Atrial Fibrillation and Healthy Subjects" in Frontiers in Neuroscience, 10 (2016):38,
https://doi.org/10.3389/fnins.2016.00038 . .
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Uncoupling of cardiac and respiratory rhythm in atrial fibrillation

Platiša, Mirjana M.; Bojić, Tijana; Pavlović, Siniša U.; Radovanovic, Nikola N.; Kalauzi, Aleksandar

(2016)

TY  - JOUR
AU  - Platiša, Mirjana M.
AU  - Bojić, Tijana
AU  - Pavlović, Siniša U.
AU  - Radovanovic, Nikola N.
AU  - Kalauzi, Aleksandar
PY  - 2016
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/1332
AB  - Rearranged origin of heart rhythm in patients with atrial fibrillation (AF) influences the regulation of the heart and consequently the respiratory rhythm, and the bidirectional interaction of these rhythms not documented. Hence, we examined coupling of the RR interval and the respiration (Resp) signal by coherence, Granger causality and the cross-sample entropy method of time series analysis in patients with AF and a healthy control group. In healthy subjects, the influence of respiration on cardiac rhythm was found as increased coherence at the breathing frequency (BF) range, significantly stronger interaction and synchrony from Resp to RR than from RR to Resp. On the contrary, in patients with AF, coherence at BF diminished, there were no causal interactions between signals in both directions, which resulted in equally great asynchrony between them. In AF, the absence of full functionality of the sinoatrial node, as an integrator of neural cardiac control, resulted in diminished vagal modulation of heart periods and consequently impaired bidirectional cardio-respiratory interaction.
T2  - Biomedical Engineering / Biomedizinische Technik
T1  - Uncoupling of cardiac and respiratory rhythm in atrial fibrillation
VL  - 61
IS  - 6
SP  - 657
EP  - 663
DO  - 10.1515/bmt-2016-0057
ER  - 
@article{
author = "Platiša, Mirjana M. and Bojić, Tijana and Pavlović, Siniša U. and Radovanovic, Nikola N. and Kalauzi, Aleksandar",
year = "2016",
abstract = "Rearranged origin of heart rhythm in patients with atrial fibrillation (AF) influences the regulation of the heart and consequently the respiratory rhythm, and the bidirectional interaction of these rhythms not documented. Hence, we examined coupling of the RR interval and the respiration (Resp) signal by coherence, Granger causality and the cross-sample entropy method of time series analysis in patients with AF and a healthy control group. In healthy subjects, the influence of respiration on cardiac rhythm was found as increased coherence at the breathing frequency (BF) range, significantly stronger interaction and synchrony from Resp to RR than from RR to Resp. On the contrary, in patients with AF, coherence at BF diminished, there were no causal interactions between signals in both directions, which resulted in equally great asynchrony between them. In AF, the absence of full functionality of the sinoatrial node, as an integrator of neural cardiac control, resulted in diminished vagal modulation of heart periods and consequently impaired bidirectional cardio-respiratory interaction.",
journal = "Biomedical Engineering / Biomedizinische Technik",
title = "Uncoupling of cardiac and respiratory rhythm in atrial fibrillation",
volume = "61",
number = "6",
pages = "657-663",
doi = "10.1515/bmt-2016-0057"
}
Platiša, M. M., Bojić, T., Pavlović, S. U., Radovanovic, N. N.,& Kalauzi, A.. (2016). Uncoupling of cardiac and respiratory rhythm in atrial fibrillation. in Biomedical Engineering / Biomedizinische Technik, 61(6), 657-663.
https://doi.org/10.1515/bmt-2016-0057
Platiša MM, Bojić T, Pavlović SU, Radovanovic NN, Kalauzi A. Uncoupling of cardiac and respiratory rhythm in atrial fibrillation. in Biomedical Engineering / Biomedizinische Technik. 2016;61(6):657-663.
doi:10.1515/bmt-2016-0057 .
Platiša, Mirjana M., Bojić, Tijana, Pavlović, Siniša U., Radovanovic, Nikola N., Kalauzi, Aleksandar, "Uncoupling of cardiac and respiratory rhythm in atrial fibrillation" in Biomedical Engineering / Biomedizinische Technik, 61, no. 6 (2016):657-663,
https://doi.org/10.1515/bmt-2016-0057 . .
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RR interval-respiratory signal waveform modeling in human slow paced and spontaneous breathing

Kapidžić, Ana; Platiša, Mirjana M.; Bojić, Tijana; Kalauzi, Aleksandar

(2014)

TY  - JOUR
AU  - Kapidžić, Ana
AU  - Platiša, Mirjana M.
AU  - Bojić, Tijana
AU  - Kalauzi, Aleksandar
PY  - 2014
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/188
AB  - Our aim was to model the dependence of respiratory sinus arrhythmia (RSA) on the respiratory waveform and to elucidate underlying mechanisms of cardiorespiratory coupling. In 30 subjects, RR interval and respiratory signal were recorded during spontaneous and paced (0.1 Hz/0.15 Hz) breathing and their relationship was modeled by a first order linear differential equation. This model has two parameters: a0 (related to the instantaneous degree of abdominal expansion) and a1 (referring to the speed of abdominal expansion). Assuming that a0 represents slowly adapting pulmonary stretch receptors (SARs) and a1 SARs in coordination with other stretch receptors and central integrative coupling; then pulmonary stretch receptors relaying the instantaneous lung volume are the major factor determining cardiovagal output during inspiration. The models results depended on breathing frequency with the least error occurring during slow paced breathing. The role of vagal afferent neurons in cardiorespiratory coupling may relate to neurocardiovascular diseases in which weakened coupling among venous return, arterial pressure, heart rate and respiration produces cardiovagal instability. (C) 2014 Elsevier B.V. All rights reserved.
T2  - Respiratory Physiology and Neurobiology
T1  - RR interval-respiratory signal waveform modeling in human slow paced and spontaneous breathing
VL  - 203
SP  - 51
EP  - 59
DO  - 10.1016/j.resp.2014.08.004
ER  - 
@article{
author = "Kapidžić, Ana and Platiša, Mirjana M. and Bojić, Tijana and Kalauzi, Aleksandar",
year = "2014",
abstract = "Our aim was to model the dependence of respiratory sinus arrhythmia (RSA) on the respiratory waveform and to elucidate underlying mechanisms of cardiorespiratory coupling. In 30 subjects, RR interval and respiratory signal were recorded during spontaneous and paced (0.1 Hz/0.15 Hz) breathing and their relationship was modeled by a first order linear differential equation. This model has two parameters: a0 (related to the instantaneous degree of abdominal expansion) and a1 (referring to the speed of abdominal expansion). Assuming that a0 represents slowly adapting pulmonary stretch receptors (SARs) and a1 SARs in coordination with other stretch receptors and central integrative coupling; then pulmonary stretch receptors relaying the instantaneous lung volume are the major factor determining cardiovagal output during inspiration. The models results depended on breathing frequency with the least error occurring during slow paced breathing. The role of vagal afferent neurons in cardiorespiratory coupling may relate to neurocardiovascular diseases in which weakened coupling among venous return, arterial pressure, heart rate and respiration produces cardiovagal instability. (C) 2014 Elsevier B.V. All rights reserved.",
journal = "Respiratory Physiology and Neurobiology",
title = "RR interval-respiratory signal waveform modeling in human slow paced and spontaneous breathing",
volume = "203",
pages = "51-59",
doi = "10.1016/j.resp.2014.08.004"
}
Kapidžić, A., Platiša, M. M., Bojić, T.,& Kalauzi, A.. (2014). RR interval-respiratory signal waveform modeling in human slow paced and spontaneous breathing. in Respiratory Physiology and Neurobiology, 203, 51-59.
https://doi.org/10.1016/j.resp.2014.08.004
Kapidžić A, Platiša MM, Bojić T, Kalauzi A. RR interval-respiratory signal waveform modeling in human slow paced and spontaneous breathing. in Respiratory Physiology and Neurobiology. 2014;203:51-59.
doi:10.1016/j.resp.2014.08.004 .
Kapidžić, Ana, Platiša, Mirjana M., Bojić, Tijana, Kalauzi, Aleksandar, "RR interval-respiratory signal waveform modeling in human slow paced and spontaneous breathing" in Respiratory Physiology and Neurobiology, 203 (2014):51-59,
https://doi.org/10.1016/j.resp.2014.08.004 . .
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Nonlinear properties of cardiac rhythm and respiratory signal under paced breathing in young and middle-aged healthy subjects

Kapidžić, Ana; Platiša, Mirjana M.; Bojić, Tijana; Kalauzi, Aleksandar

(2014)

TY  - JOUR
AU  - Kapidžić, Ana
AU  - Platiša, Mirjana M.
AU  - Bojić, Tijana
AU  - Kalauzi, Aleksandar
PY  - 2014
UR  - https://vinar.vin.bg.ac.rs/handle/123456789/338
AB  - We examined the effects of gender and age in young and middle-aged subjects on the level of cardiorespiratory interaction by analyzing properties of cardiac, respiratory and cardiac-respiratory regulatory mechanisms under paced breathing. In 56 healthy subjects, ECG (RR interval) and respiratory signal were simultaneously acquired in supine position at paced (0.1-0.45 Hz, steps of 0.05 Hz) and spontaneous breathing. The participants were divided into gender matched group of young adults (19-25 years old) and middle-aged adults (35-44 years old). Power spectral analysis was applied on RR interval time series and spectral components in very low frequency (VLF), low frequency (LF) and high frequency (HF) ranges were computed. We also calculated Sample entropy of RR interval series (SampEnRR), respiratory series (SampEnResp), and their cross-sample entropy (cross-SampEn). Under paced breathing, reduction of all spectral powers with age (p LT 0.05) is not gender dependent but reduction of some entropy measures is; SampEnRR and SampEnResp were lower only in men (p LT 0.05). In the middle-aged subjects, effect of gender on spectral measures is significant; males had lower HF (p LT 0.05). Pattern of dependencies of SampEn and cross-SampEn on paced breathing frequency were significantly different in men (young vs. middle-aged, p = 0.001 and p = 0.037) and in middle-aged subjects (females vs. males, p = 0.011 and p = 0.008). In middle-aged males, lower entropy measures indicated reduced and less complex partial cardiac and respiratory control, and central cardio-respiratory control. In conclusion, in healthy middle-aged subjects changes in cardio-respiratory coupling are detectable only in males. (C) 2014 IPEM. Published by Elsevier Ltd. All rights reserved.
T2  - Medical Engineering and Physics
T1  - Nonlinear properties of cardiac rhythm and respiratory signal under paced breathing in young and middle-aged healthy subjects
VL  - 36
IS  - 12
SP  - 1577
EP  - 1584
DO  - 10.1016/j.medengphy.2014.08.007
ER  - 
@article{
author = "Kapidžić, Ana and Platiša, Mirjana M. and Bojić, Tijana and Kalauzi, Aleksandar",
year = "2014",
abstract = "We examined the effects of gender and age in young and middle-aged subjects on the level of cardiorespiratory interaction by analyzing properties of cardiac, respiratory and cardiac-respiratory regulatory mechanisms under paced breathing. In 56 healthy subjects, ECG (RR interval) and respiratory signal were simultaneously acquired in supine position at paced (0.1-0.45 Hz, steps of 0.05 Hz) and spontaneous breathing. The participants were divided into gender matched group of young adults (19-25 years old) and middle-aged adults (35-44 years old). Power spectral analysis was applied on RR interval time series and spectral components in very low frequency (VLF), low frequency (LF) and high frequency (HF) ranges were computed. We also calculated Sample entropy of RR interval series (SampEnRR), respiratory series (SampEnResp), and their cross-sample entropy (cross-SampEn). Under paced breathing, reduction of all spectral powers with age (p LT 0.05) is not gender dependent but reduction of some entropy measures is; SampEnRR and SampEnResp were lower only in men (p LT 0.05). In the middle-aged subjects, effect of gender on spectral measures is significant; males had lower HF (p LT 0.05). Pattern of dependencies of SampEn and cross-SampEn on paced breathing frequency were significantly different in men (young vs. middle-aged, p = 0.001 and p = 0.037) and in middle-aged subjects (females vs. males, p = 0.011 and p = 0.008). In middle-aged males, lower entropy measures indicated reduced and less complex partial cardiac and respiratory control, and central cardio-respiratory control. In conclusion, in healthy middle-aged subjects changes in cardio-respiratory coupling are detectable only in males. (C) 2014 IPEM. Published by Elsevier Ltd. All rights reserved.",
journal = "Medical Engineering and Physics",
title = "Nonlinear properties of cardiac rhythm and respiratory signal under paced breathing in young and middle-aged healthy subjects",
volume = "36",
number = "12",
pages = "1577-1584",
doi = "10.1016/j.medengphy.2014.08.007"
}
Kapidžić, A., Platiša, M. M., Bojić, T.,& Kalauzi, A.. (2014). Nonlinear properties of cardiac rhythm and respiratory signal under paced breathing in young and middle-aged healthy subjects. in Medical Engineering and Physics, 36(12), 1577-1584.
https://doi.org/10.1016/j.medengphy.2014.08.007
Kapidžić A, Platiša MM, Bojić T, Kalauzi A. Nonlinear properties of cardiac rhythm and respiratory signal under paced breathing in young and middle-aged healthy subjects. in Medical Engineering and Physics. 2014;36(12):1577-1584.
doi:10.1016/j.medengphy.2014.08.007 .
Kapidžić, Ana, Platiša, Mirjana M., Bojić, Tijana, Kalauzi, Aleksandar, "Nonlinear properties of cardiac rhythm and respiratory signal under paced breathing in young and middle-aged healthy subjects" in Medical Engineering and Physics, 36, no. 12 (2014):1577-1584,
https://doi.org/10.1016/j.medengphy.2014.08.007 . .
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