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Reis AS, dos Santos L, Cunha Jr A, Konstantyner TC, Macau EE. Unravelling COVID-19 waves in Rio de Janeiro city: Qualitative insights from nonlinear dynamic analysis. Infect Dis Model 2024; 9:314-328. [PMID: 38371873 PMCID: PMC10867657 DOI: 10.1016/j.idm.2024.01.007] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/27/2023] [Revised: 11/23/2023] [Accepted: 01/21/2024] [Indexed: 02/20/2024] Open
Abstract
Since the COVID-19 pandemic was first reported in 2019, it has rapidly spread around the world. Many countries implemented several measures to try to control the virus spreading. The healthcare system and consequently the general quality of life population in the cities have all been significantly impacted by the Coronavirus pandemic. The different waves of contagious were responsible for the increase in the number of cases that, unfortunately, many times lead to death. In this paper, we aim to characterize the dynamics of the six waves of cases and deaths caused by COVID-19 in Rio de Janeiro city using techniques such as the Poincaré plot, approximate entropy, second-order difference plot, and central tendency measures. Our results reveal that by examining the structure and patterns of the time series, using a set of non-linear techniques we can gain a better understanding of the role of multiple waves of COVID-19, also, we can identify underlying dynamics of disease spreading and extract meaningful information about the dynamical behavior of epidemiological time series. Such findings can help to closely approximate the dynamics of virus spread and obtain a correlation between the different stages of the disease, allowing us to identify and categorize the stages due to different virus variants that are reflected in the time series.
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Affiliation(s)
- Adriane S. Reis
- Institute of Science and Technology, Federal University of São Paulo, São José dos Campos, SP, Brazil
- Physics Institute, University of São Paulo, São Paulo, SP, Brazil
| | - Laurita dos Santos
- Scientific and Technological Institute, Universidade Brasil, São Paulo, SP, Brazil
| | - Américo Cunha Jr
- Department of Applied Mathematics, Rio de Janeiro State University, Rio de Janeiro, RJ, Brazil
| | | | - Elbert E.N. Macau
- Institute of Science and Technology, Federal University of São Paulo, São José dos Campos, SP, Brazil
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Delliaux S, Ichinose M, Watanabe K, Fujii N, Nishiyasu T. Muscle metaboreflex activation during hypercapnia modifies nonlinear heart rhythm dynamics, increasing the complexity of the sinus node autonomic regulation in humans. Pflugers Arch 2023; 475:527-539. [PMID: 36645512 DOI: 10.1007/s00424-022-02780-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/18/2022] [Revised: 12/01/2022] [Accepted: 12/04/2022] [Indexed: 01/17/2023]
Abstract
Muscle metaboreflex activation during hypercapnia leads to enhanced pressive effects that are poorly understood while autonomic responses including baroreflex function are not documented. Thus, we assessed heart rate variability (HRV) that is partly due to autonomic influences on sinus node with linear tools (spectral analysis of instantaneous heart period), baroreflex set point and sensitivity with the heart period-arterial pressure transfer function and sequences methods, and system coupling through the complexity of RR interval dynamics with nonlinear tools (Poincaré plots and approximate entropy (ApEn)). We studied ten healthy young men at rest and then during muscle metaboreflex activation (MMA, postexercise muscle ischemia) and hypercapnia (HCA, PetCO2 = + 10 mmHg from baseline) separately and combined (MMA + HCA). The strongest pressive responses were observed during MMA + HCA, while baroreflex sensitivity was similarly lowered in the three experimental conditions. HRV was significantly different in MMA + HCA compared to MMA and HCA separately, with the lowest total power spectrum (p < 0.05), including very low frequency (p < 0.05), low frequency (p < 0.05), and high frequency (tendency) power spectra decreases, and the lowest Poincaré plot short-term variability index (SD1): SD1 = 36.2 ms (MMA + HCA) vs. SD1 = 43.1 ms (MMA, p < 0.05) and SD1 = 46.1 ms (HCA, p < 0.05). Moreover, RR interval dynamic complexity was significantly increased only in the MMA + HCA condition (ApEn increased from 1.04 ± 0.04, 1.07 ± 0.02, and 1.05 ± 0.03 to 1.10 ± 0.03, 1.13 ± 0.04, and 1.17 ± 0.03 in MMA, HCA, and MMA + HCA conditions, respectively; p < 0.01). These results suggest that in healthy young men, muscle metaboreflex activation during hypercapnia leads to interactions that reduce parasympathetic influence on the sinus node activity but complexify its dynamics.
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Affiliation(s)
- Stephane Delliaux
- Aix Marseille Univ, INSERM, INRAE, C2VN, Marseille, France.
- Assistance Publique - Hôpitaux de Marseille, APHM, Hôpital Nord, Pôle Cardiovasculaire et Thoracique, Laboratoire de Physiologie Respiratoire - Explorations à l'Exercice, Marseille, France.
- Laboratory of Physiology - Circulation, Institute of Health and Sport Sciences, University of Tsukuba, Tsukuba, Japan.
- Japan Society for the Promotion of Science, Tokyo, Japan.
| | - Masashi Ichinose
- Laboratory of Physiology - Circulation, Institute of Health and Sport Sciences, University of Tsukuba, Tsukuba, Japan
- School of Business and Administration, Meiji University, Tokyo, Japan
| | - Kazuhito Watanabe
- Laboratory of Physiology - Circulation, Institute of Health and Sport Sciences, University of Tsukuba, Tsukuba, Japan
| | - Naoto Fujii
- Laboratory of Physiology - Circulation, Institute of Health and Sport Sciences, University of Tsukuba, Tsukuba, Japan
- Japan Society for the Promotion of Science, Tokyo, Japan
| | - Takeshi Nishiyasu
- Laboratory of Physiology - Circulation, Institute of Health and Sport Sciences, University of Tsukuba, Tsukuba, Japan
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Effects of Missing Data on Heart Rate Variability Metrics. SENSORS 2022; 22:s22155774. [PMID: 35957328 PMCID: PMC9371086 DOI: 10.3390/s22155774] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 06/21/2022] [Revised: 07/29/2022] [Accepted: 07/30/2022] [Indexed: 02/05/2023]
Abstract
Heart rate variability (HRV) has been studied for decades in clinical environments. Currently, the exponential growth of wearable devices in health monitoring is leading to new challenges that need to be solved. These devices have relatively poor signal quality and are affected by numerous motion artifacts, with data loss being the main stumbling block for their use in HRV analysis. In the present paper, it is shown how data loss affects HRV metrics in the time domain and frequency domain and Poincaré plots. A gap-filling method is proposed and compared to other existing approaches to alleviate these effects, both with simulated (16 subjects) and real (20 subjects) missing data. Two different data loss scenarios have been simulated: (i) scattered missing beats, related to a low signal to noise ratio; and (ii) bursts of missing beats, with the most common due to motion artifacts. In addition, a real database of photoplethysmography-derived pulse detection series provided by Apple Watch during a protocol including relax and stress stages is analyzed. The best correction method and maximum acceptable missing beats are given. Results suggest that correction without gap filling is the best option for the standard deviation of the normal-to-normal intervals (SDNN), root mean square of successive differences (RMSSD) and Poincaré plot metrics in datasets with bursts of missing beats predominance (p<0.05), whereas they benefit from gap-filling approaches in the case of scattered missing beats (p<0.05). Gap-filling approaches are also the best for frequency-domain metrics (p<0.05). The findings of this work are useful for the design of robust HRV applications depending on missing data tolerance and the desired HRV metrics.
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Pham T, Lau ZJ, Chen SHA, Makowski D. Heart Rate Variability in Psychology: A Review of HRV Indices and an Analysis Tutorial. SENSORS (BASEL, SWITZERLAND) 2021; 21:3998. [PMID: 34207927 PMCID: PMC8230044 DOI: 10.3390/s21123998] [Citation(s) in RCA: 82] [Impact Index Per Article: 27.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 05/03/2021] [Revised: 06/04/2021] [Accepted: 06/04/2021] [Indexed: 12/16/2022]
Abstract
The use of heart rate variability (HRV) in research has been greatly popularized over the past decades due to the ease and affordability of HRV collection, coupled with its clinical relevance and significant relationships with psychophysiological constructs and psychopathological disorders. Despite the wide use of electrocardiograms (ECG) in research and advancements in sensor technology, the analytical approach and steps applied to obtain HRV measures can be seen as complex. Thus, this poses a challenge to users who may not have the adequate background knowledge to obtain the HRV indices reliably. To maximize the impact of HRV-related research and its reproducibility, parallel advances in users' understanding of the indices and the standardization of analysis pipelines in its utility will be crucial. This paper addresses this gap and aims to provide an overview of the most up-to-date and commonly used HRV indices, as well as common research areas in which these indices have proven to be very useful, particularly in psychology. In addition, we also provide a step-by-step guide on how to perform HRV analysis using an integrative neurophysiological toolkit, NeuroKit2.
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Affiliation(s)
- Tam Pham
- School of Social Sciences, Nanyang Technological University, Singapore 639818, Singapore; (T.P.); (Z.J.L.); (D.M.)
| | - Zen Juen Lau
- School of Social Sciences, Nanyang Technological University, Singapore 639818, Singapore; (T.P.); (Z.J.L.); (D.M.)
| | - S. H. Annabel Chen
- School of Social Sciences, Nanyang Technological University, Singapore 639818, Singapore; (T.P.); (Z.J.L.); (D.M.)
- Centre for Research and Development in Learning, Nanyang Technological University, Singapore 637460, Singapore
- Lee Kong Chian School of Medicine, Nanyang Technological University, Singapore 636921, Singapore
- National Institute of Education, Nanyang Technological University, Singapore 637616, Singapore
| | - Dominique Makowski
- School of Social Sciences, Nanyang Technological University, Singapore 639818, Singapore; (T.P.); (Z.J.L.); (D.M.)
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Nardelli M, Valenza G, Greco A, Lanatá A, Scilingo EP, Bailón R. Quantifying the lagged Poincaré plot geometry of ultrashort heart rate variability series: automatic recognition of odor hedonic tone. Med Biol Eng Comput 2020; 58:1099-1112. [PMID: 32162243 DOI: 10.1007/s11517-019-02095-7] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/29/2019] [Accepted: 12/06/2019] [Indexed: 10/24/2022]
Abstract
The application of Poincaré plot analysis to characterize inter-beat interval dynamics has been successfully proposed in the scientific literature for the assessment of humans' physiological states and related aberrations. In this study, we proposed novel descriptors to trace the evolution of Poincaré plot shape over the lags. Their reliability in ultra-short cardiovascular series analysis was validated on synthetic inter-beat series generated through a physiologically plausible integral pulse frequency modulation model. Furthermore, we used the proposed approach for the investigation of the direct relationship between autonomic nervous system (ANS) dynamics and hedonic olfactory elicitation, in a group of 30 healthy subjects. Participants with a similar olfactory threshold were selected, and were asked to score 5-s stimuli in terms of arousal and valence levels according to the Russell's circumflex model of affect. Their ANS response was investigated in 35-s windows after the elicitation. Experimental results showed a gender-specific, high discriminant power of the proposed approach, discerning between pleasant and unpleasant odorants with an accuracy of 83.33% and 73.33% for men and for women, respectively. Graphical Abstract Olfaction plays a crucial role in our life and is strictly related to the Autonomic Nervous System (ANS) activity, which can be monitored studying Heart Rate Variability. We used the Lagged Poincare Plot approach to recognize gender-specific ANS response in 35-second windows after the elicitation through pleasant/unpleasant odorants.
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Affiliation(s)
- M Nardelli
- Department of Information Engineering, Research Centre E. Piaggio, University of Pisa, Via G. Caruso 16, Pisa, Italy.
| | - G Valenza
- Department of Information Engineering, Research Centre E. Piaggio, University of Pisa, Via G. Caruso 16, Pisa, Italy
| | - A Greco
- Department of Information Engineering, Research Centre E. Piaggio, University of Pisa, Via G. Caruso 16, Pisa, Italy
| | - A Lanatá
- Department of Information Engineering, Research Centre E. Piaggio, University of Pisa, Via G. Caruso 16, Pisa, Italy
| | - E P Scilingo
- Department of Information Engineering, Research Centre E. Piaggio, University of Pisa, Via G. Caruso 16, Pisa, Italy
| | - R Bailón
- BSICoS Group, Aragón Institute of Engineering Research (I3A), IIS Aragón, University of Zaragoza, Zaragoza, Spain.,CIBER of Bioengineering, Biomaterials and Nanomedicine (CIBER - BBN), Madrid, Spain
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Hernando D, Laguna P, Brophy C, Bailon R, Nardelli M, Hocking K, Lazaro J, Alvis B, Gil E, Scilingo EP, Brophy DR, Valenza G. Effect of yoga on pulse rate variability measured from a venous pressure waveform. ANNUAL INTERNATIONAL CONFERENCE OF THE IEEE ENGINEERING IN MEDICINE AND BIOLOGY SOCIETY. IEEE ENGINEERING IN MEDICINE AND BIOLOGY SOCIETY. ANNUAL INTERNATIONAL CONFERENCE 2019; 2019:372-375. [PMID: 31945918 DOI: 10.1109/embc.2019.8856657] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
The benefits of yoga have been studied in different fields, from chronic health conditions to mental disorders, showing that it can help to improve the overall health. In particular, it has been proven that yoga also improves the autonomic function. Heart rate variability (HRV) at rest is commonly used as a non-invasive measure of autonomic regulation of heart rate. Alternatively, pulse rate variability (PRV) has been proposed as a surrogate of HRV. VoluMetrix has developed a novel technology that captures venous waveforms via sensors on the volar aspect of the wrist, called NIVAband. This study aims to assess the effect of yoga in the autonomic nervous system by analyzing the PRV obtained from the NIVA signal. Temporal (statistics of the normal-to-normal intervals), spectral (power in low and high frequency bands) and nonlinear (lagged Poincaré Plot analysis) parameters are analyzed before and after a yoga session in 20 healthy volunteers. The PRV analysis shows an increase in parameters related to parasympathetic activity and overall variability, and a decrease in parameters related to sympathetic activity and mean heart rate. These results support the beneficial effect of yoga in autonomic nervous system, increasing the parasympathetic activity.
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