A mathematical modelling analysis of the response of blood pressure and heart rate to submaximal exercise

Iconaru, Elena Ioana; Georgescu, Luminita; Ciucurel, Constantin

doi:10.1080/00015385.2018.1478241

Cited by 7 publications

(7 citation statements)

References 36 publications

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“…Interest in different applications of Fibonacci numerical sequences does not decrease. In support of the above, two recent works can be cited [20,21].…”

Section: Resultsmentioning

confidence: 67%

On Branched Chain Processes, the Laws of Development of Which Are Expressed by Numerical Sequences Like Fibonacci Numbers, a New Look at Their Nature

Petrenko¹

2018

SJC

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Branched chain chemical reactions represent a special class of chemical transformation reactions of matter, for the discovery and experimental-theoretical development of which Semenov N. N. and Hinshelwood C. N. were awarded the Nobel Prize in 1956. In nature, such processes are widespread. Objective. To investigate the nature of various numerical sequences of the Fibonacci type and to find out under what conditions they can reflect (express) the patterns of development of branched chain processes. In this work, the state is formulated that branched chain chemical reactions are a particular case of branched chain processes of any nature in different spheres, including biological. It is shown that many branched chain processes can generate numerical sequences of Fibonacci, Lucas, Shannon and others of the same type, which reflect the dynamics of their development. For all the indicated numerical sequences, it is typical that their formation is determined by a general recurrent law, which has been the subject of research for many well-known mathematicians. For each of the indicated numerical sequences they established other laws alternative to the recurrent one, however, they were all of a private nature. They were in accordance with the recurrent law only in the case of one specific sequence. Comparative analysis of many numerical sequences allowed us to find a universal law that is common for all types of sequences and terminologically define it as the law of "doubling with subtraction." For all numerical series the formation of which follows a recurrent law, the law "doubling with subtraction" is equally valid. The opposite is not true since there are numerical sequences that obey only the law of "doubling with subtraction," and the recurrent law is not valid for them. It means that the new law is more fundamental and, in fact, is the primary law and the recurrent law is secondary. Significant differences also exist in the consequences of these two laws. For example, the increments of sequences formed according to the recurrent law and the law of "doubling with subtraction" have fundamental differences in their mathematical expression, although they lead in different ways to the same result, namely, to Ф = 1,618... with the serial numbers of the sequence terms tending to infinity. In the work for each of these laws, a branched chain biological process that was unique to it was found and put in correspondence. In the case of the law of "doubling with subtraction", the process was followed by the termination of chains with characteristic parameters: the chain length is three links, the branching factor is -2. In the case of a recurrent law, the process was without chain termination, with an infinite length and with a branching factor of -2, and with some delay limiting the branching. It seems interesting that such different branched chain processes of different character are described by the same Fibonacci sequence. The processes of branched chain character corresponding to the sequences of Lucas, Shannon, and oth...

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“…Interest in different applications of Fibonacci numerical sequences does not decrease. In support of the above, two recent works can be cited [20,21].…”

Section: Resultsmentioning

confidence: 67%

On Branched Chain Processes, the Laws of Development of Which Are Expressed by Numerical Sequences Like Fibonacci Numbers, a New Look at Their Nature

Petrenko¹

2018

SJC

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“…6), we obtained a non-significant main effect for Group and for the interaction Group A special attention should be given to the SBP/DBP indicator. In physiological conditions, between SBP and DBP there is a large linear correlation [21], and the ratio is used in practice to evaluate the balance between sympathetic and parasympathetic tone, at rest or during effort [22][23][24]. The reference value for the resting state in a healthy status, especially for night time can be approximated by Golden Ratio (GR), which is about 1.618 [22].…”

Section: Resultsmentioning

confidence: 99%

The Acute Hemodynamic Effects of Caffeine During Different Body Positions in Normotensive Young Adults

Iconaru¹,

Tantu²,

Tudor³

et al. 2020

Rev. Chim.

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The aim of this study was to investigate the acute cardiovascular hemodynamic effects of administration of a fixed dose of 130 mg of caffeine versus placebo in a sample of healthy young adults (N = 32, sex ratio 1/1), who were successively placed in four distinct positions (orthostatic before ingestion, orthostatic, supine and Trendelenburg vertical positions, after ingestion) on a gravitational inversion table. The experimental design was a single-center, parallel-group, doubleblind, randomized, placebo-controlled clinical trial. Following the descriptive and inferential statistical processing of the data, a statistical significant pattern (p <0.05) of acute postural cardiovascular hemodynamic adaptation of the subjects was revealed, under the influence of caffeine versus placebo ingestion.

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“…It should be mentioned that apart from the variables provided by ABPM50 we calculated the ratio between SBP and DBP. This indicator is correlated with the harmonious state of resting of the individual and may be useful for determining the level of sympathetic or parasympathetic hemodynamic activation (Yetkin et al, 2014;Iconaru et al, 2019).…”

Section: Data Collection and Statistical Analysismentioning

confidence: 99%

Untitled

2019

JPES

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Problem Statement. In present, the study of the cardiovascular effects of the exposure of the body to various positions during inversion therapy represents a challenging research topic. Purpose. To investigate the peripheral hemodynamic effects of the successive exposure of the body to positions specific to the use of the inversion table during physical therapy sessions. Methods. We realized a prospective observational study on a group of 20 young adults (9 women and 11 men, mean age 28.1 ± 10.10 years). For each subject, we repeatedly determined the blood pressure and pulse rate in three successive positions on an inversion table, in the following order: vertical orthostatic position, supine horizontal position and vertical Trendelenburg position. Results. We revealed a specific pattern of the dynamics of the cardiovascular variables, which as a whole indicates the slight average decrease of pulse rate, systolic blood pressure, diastolic blood pressure, mean blood pressure and a slight increase of ratio between systolic and diastolic blood pressure and of the pressure difference between high and low blood pressure, between the three measurements done. The protocol of changing 3 different postures elicits a statistically significant influence in all parameters, excepted SBP, for certain combinations of comparison of mean scores (p < 0.05). Conclusions. The results of our study demonstrated that the adoption of extreme positions in relation to the gravitational field definitely influences the human body in terms of the investigated cardiovascular parameters.

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A mathematical modelling analysis of the response of blood pressure and heart rate to submaximal exercise

Cited by 7 publications

References 36 publications

On Branched Chain Processes, the Laws of Development of Which Are Expressed by Numerical Sequences Like Fibonacci Numbers, a New Look at Their Nature

On Branched Chain Processes, the Laws of Development of Which Are Expressed by Numerical Sequences Like Fibonacci Numbers, a New Look at Their Nature

The Acute Hemodynamic Effects of Caffeine During Different Body Positions in Normotensive Young Adults

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