Peculiarities of Simulation of Biomechanical and Biological Systems
DOI:
https://doi.org/10.17309/tmfv.2017.2.1192Keywords:
biological and biomechanical system, gravitational field, heart rateAbstract
The objective is to combine the methods and principles of biomechanics and continuum mechanics in order to pose and solve problems that have practical application in extreme conditions.
Materials & methods: the movement of blood through large vessels was studied on the basis of the Euler and Navier-Stokes equations. Analysis of the cardiovascular system was used for the examination of the functional state of the athlete. The initial experimentally measured heart rate (HR) was determined by the Polar RC800 cardiac monitor. The resulting time series is analyzed using the software package Kubios HRV.
Results: the article proposes to consider a model describing human body as a discrete-continuous system. Using the Euler equation, a mathematical model of the movement of blood through large vessels is considered. A mathematical model of the process of pulse wave propagation in blood vessels is given. We found and interpreted hidden periodicities relative to the numerical series occurring during analysis of biological and heart rhythms of athletes during training and competitive activities.
Conclusions: the use of methods and principles of continuum mechanics makes it possible to pose and solve the problems of mathematical physics for practical purposes. These include the movement of blood through large vessels, the issue of heat protection, and so on. The heart rate changes during the day and has a fluctuating character with certain periods. Periods of heart rate depend on the activity of a person and the time of day. Moreover, the heart rate tends to increase the amplitude and depend significantly on person’s workload.
Downloads
References
Arkhypov, O.A. (2014). Biomekhanichnyi analiz: navich.posibnyk, 2-e vydannia. Kyiv: NPU im. M.P. Drahomanova, 241.
Blahitko, B.Ya., Zaiachuk, I.M., Trach, V.M. & Pyrohov, O.V. (2007). Matematychne modeliuvannia poshyrennia pulsovoi khvyli u velykykh krovonosnykh sudynakh u praktytsi sportu. Teoria ta metodika fizicnogo vihovanna, (8), 34 – 36.
Vynohradskyy, B.A. & Lopatiev, A.O. (2008). Perspektyvy rozvytku biomekhaniky sportu u svitli idey profesora Laputina A.M. Aktualni pytannya suchasnoyi biomekhaniky fizychnoho vykhovannya ta sportu. Seriya: Pedahohichni nauky, Fizychne vykhovannya ta sport. Chernihiv, (54), 29–33.
Vlasov, A., Demichkovskyi, A., Ivashchenko, O., Lopatiev, A., Pityn, M., Pianylo, Ya. & Khudolii, O. (2016). Systemnyi pidkhid i matematychne modeliuvannia biolohichnykh ta pryrodnykh obiektiv i protsesiv. Fizyko-matematychne modeliuvannia ta informatsiini tekhnolohii, (23), 17-28.
Kashuba, Vytalyi (2016). Ynnovatsyonnыe tekhnolohy v sovremennom sporte. Sportyvnyi visnyk Prydniprovia, (1), 46-57.
Laputin, A.N. (1999). Gravitatcionnaia trenirovka. K.: Znannia, 315.
Lopatiev, A.O., Dziubachyk, M.I. & Smilnianyn, S.M. (2009). Osoblyvosti modeliuvannia systemy «strilets – zbroia – mishen». Teoria ta metodika fizicnogo vihovanna, 0(5), 37-42. Retrieved from https://www.tmfv.com.ua/journal/article/view/533
Lopatiev, A. O., Vlasov, A. P. & Demichkovskyi, A.P. (2017). Funktsioduvannia systemy «strilets – zbroia –mishen» z vrakhuvanniam enerhoinformatsiinoi ta hravitatsiinoi vzaiemodii. Teoria ta metodika fizicnogo vihovanna, 17(1), 48-52.
Pjanylo, Yaroslav, Lopatiev, Anatolii, Boretskyi, Yurii & Cherevatyi, Volodymyr (2017). Rukh ridyn v hnuchkykh trubkakh iz urakhuvannia yikh parametriv ta dzherel. Modeliuvannia ta informatsiini tekhnolohii u fizychnomu vykhovanni ta sporti. XIII Mizhnarodna naukova konferentsiia. Lviv, 53-62.
Pjanylo, Yaroslav, Lopatiev, Anatolii, Pjanylo, Halyna & Vlasov, Andrii (2017). Pidkhody do analizu chyslovykh riadiv. Modeliuvannia ta informatsiini tekhnolohii u fizychnomu vykhovanni ta sporti. XIII Mizhnarodna naukova konferentsiia. Lviv, 47-52.
Khudolii, O.M., Ivashchenko, O.V., Iermakov, S.S. & Rumba, O.G. (2016). Computer simulation of junior gymnasts’ training process. Science of Gymnastics Journal, 8 (3), 215-228.
Lopatiev, A., Ivashchenko, O., Khudolii, O., Pjanylo, Y., Chernenko, S. & Yermakova, T. (2017). Systemic approach and mathematical modeling in physical education and sports. Journal of Physical Education and Sport (JPES), 17 (1), 146–155.
Downloads
Published
How to Cite
Issue
Section
License
- 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.
- 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.
- 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).