The inter beat interval (IBI) duration and systolic blood pressure (SBP) are cardiovascular variables related through several feedback mechanisms. We propose the analysis of diagonal lines in cross recurrence plots (CRPs) from IBI and SBP embedded within the same phase space to identify events where trajectories of both variables concur. The aim of the study was to describe the relationship between IBI and SBP of healthy subjects using CRP and diagonal analysis during baseline condition—supine position (SP)—and how the relationship changes during the physiological stress of active standing (AS). IBI and SBP time series were obtained from continuous blood pressure recordings during SP and AS (15 min each) in 19 young healthy subjects. IBI and SBP time series were embedded within a five-dimensional phase space using an embedding delay estimated from cross correlation between IBI and SBP. During SP, mean CRP showed high determinism (≥85%) and also brief but repeated events where both variables stay within a reduced space. Most quantitative recurrences analysis indexes of CRP increased significantly (p < 0.05) during AS. CRP analysis showed short diagonals indicating a very strong deterministic relationship between IBI and SBP with intermittent unlocking periods. The strength of IBI and SBP relationship increased during the physiological stress of AS. The CRP method allowed a rigorous quantitative description of the deterministic association between these two variables. Diagonal lines were intermittent and not always parallel, showing that there is not a defined and unique rhythm. This suggests the activation of different influences at different times and with different precedence between the heart rate and blood pressure in response to AS.
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August 2018
Research Article|
August 24 2018
Analysis of diagonals in cross recurrence plots between heart rate and systolic blood pressure during supine position and active standing in healthy adults
Special Collection:
Recurrence Quantification Analysis for Understanding Complex Systems
Gertrudis Hortensia González-Gómez
;
Gertrudis Hortensia González-Gómez
a)
1
Taller de Biofísica de Sistemas Excitables, Facultad de Ciencias, Universidad Nacional Autónoma de México
, 04510 Mexico D.F., Mexico
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Oscar Infante;
Oscar Infante
b)
2
Departamento de Instrumentación Electromecánica, Instituto Nacional de Cardiología Ignacio Chávez
, 14080 Mexico D.F., Mexico
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Paola Martínez-García;
Paola Martínez-García
c)
3
Servicio de Radio-Oncología, Instituto Nacional de Ciencias Médicas y Nutrición Salvador Zubirán
, 14080 Mexico D.F., Mexico
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Claudia Lerma
Claudia Lerma
d)
2
Departamento de Instrumentación Electromecánica, Instituto Nacional de Cardiología Ignacio Chávez
, 14080 Mexico D.F., Mexico
d)Author to whom correspondence should be addressed: dr.claudialerma@gmail.com. Telephone: +52 (55) 5573-2911 ext. 26202. Fax: +52 (55) 5573-0926.
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a)
Email: hortecgg@ciencias.unam.mx
b)
Email: infosc@cardiologia.org.mx
c)
Email: paola.mar@ciencias.unam.mx
d)Author to whom correspondence should be addressed: dr.claudialerma@gmail.com. Telephone: +52 (55) 5573-2911 ext. 26202. Fax: +52 (55) 5573-0926.
Chaos 28, 085704 (2018)
Article history
Received:
February 02 2018
Accepted:
May 07 2018
Connected Content
Citation
Gertrudis Hortensia González-Gómez, Oscar Infante, Paola Martínez-García, Claudia Lerma; Analysis of diagonals in cross recurrence plots between heart rate and systolic blood pressure during supine position and active standing in healthy adults. Chaos 1 August 2018; 28 (8): 085704. https://doi.org/10.1063/1.5024685
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