Wave characteristics of the cardiorespiratory system under increasing of a heart rate

  • E. D. Pechuk Institute of hydromechanics NASU, 03680, Kyiv, Kapnis str. 8/4
  • T. S. Krasnopolskaya Institute of hydromechanics NASU, 03680, Kyiv, Kapnis str. 8/4
  • M. O. Rudnytska Institute of hydromechanics NASU, 03680, Kyiv, Kapnis str. 8/4
DOI: https://doi.org/10.17721/1812-5409.2020/1-2.12

Abstract

The heart rate influence on chaotic dynamics of the model of interaction between cardiovascular and respiratory subsystems has been studied. The considered model contains both direct and inverse mechanical connection between the heart and the waves generated by the movement of the chest. Applied numerical methods of the theory of dynamical systems are used. It is shown how an increase in heart rate can affect the wave characteristics of the heart.

Key words: cardiovascular system, respiratory system, limited excitation, chaos.

Pages of the article in the issue: 71 - 74

Language of the article: Ukrainian

References

GOLDBERGER, ARY L. (2006) Clinical Electro-cardiography: A Simplified Approach, 7th ed. Philadelphia: Mosby Elsevier.

DEBOER, R.W., KAREMAKER, J. M. and STRAKEE, J. (1987). Hemodynamic fluctuations and baroreflex sensitivity in humans: A beat-to-beat model. Amer. J. Physiol., 253, p.H680–H689.

GRINCHENKO, V.T. and RUDNITSKY, А.G. (2006) Model’ vzaimodeistvia serdechno-sosudistoi i respiratornoi sistem. Akusticheskii vestnik, 9(3), p.16–26.

KRASNOPOLSKAYA T.S. and PECHUK E.D., (2017) Cardiorespiratory System with Strong Interaction, Chaotic Modeling and Simulation (CMSIM), N1, p.141 – 146.

PECHUK E.D. KRASNOPOLSKAYA T.S. and RUDNYTSKA M.O. (2019) Cardiorespiratory system as system with limited excitation, Bulletin of Taras Shevchenko National University of Kyiv Series Physics & Mathematics, N2, p.59 – 62.

PECHUK E.D. et al. (2020) Influence of the Heart Rate on Dynamics of Cardiorespiratory System, In 12th Chaotic Modeling and Simulation International Conference. Ed.: Christos H. Skiadas & Yiannis Dimotikalis. Springer Nature Switzerland AG 2020, p.211 – 216.

No 1-2 (2020)
How to Cite
Pechuk, E. D., Krasnopolskaya, T. S., & Rudnytska, M. O. (1). Wave characteristics of the cardiorespiratory system under increasing of a heart rate. Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics, (1-2), 71-74. https://doi.org/10.17721/1812-5409.2020/1-2.12
Issue
No. 1-2 (2020)
Section
Differential equations, mathematical physics and mechanics

Authors who publish with this journal agree to the following terms:

  1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).