scholarly journals Simulating Dynamics of Circulation in the Awake State and Different Stages of Sleep Using Non-autonomous Mathematical Model With Time Delay

2021 ◽  
Vol 11 ◽  
Author(s):  
Anatoly S. Karavaev ◽  
Yurii M. Ishbulatov ◽  
Mikhail D. Prokhorov ◽  
Vladimir I. Ponomarenko ◽  
Anton R. Kiselev ◽  
...  
Keyword(s):  
Blood Pressure ◽  
Mathematical Model ◽  
Cardiovascular System ◽  
Healthy Subjects ◽  
Blood Circulation ◽  
Control Loops ◽  
Awake State ◽  
Proposed Model ◽  
Human Cardiovascular System ◽  
First Time

We propose a mathematical model of the human cardiovascular system. The model allows one to simulate the main heart rate, its variability under the influence of the autonomic nervous system, breathing process, and oscillations of blood pressure. For the first time, the model takes into account the activity of the cerebral cortex structures that modulate the autonomic control loops of blood circulation in the awake state and in various stages of sleep. The adequacy of the model is demonstrated by comparing its time series with experimental records of healthy subjects in the SIESTA database. The proposed model can become a useful tool for studying the characteristics of the cardiovascular system dynamics during sleep.

scholarly journals Mathematical modeling of the cardiovascular autonomic control in healthy subjects during a passive head-up tilt test

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Yurii M. Ishbulatov ◽  
Anatoly S. Karavaev ◽  
Anton R. Kiselev ◽  
Margarita A. Simonyan ◽  
Mikhail D. Prokhorov ◽  
...  
Keyword(s):  
Blood Pressure ◽  
Heart Rate ◽  
Cardiovascular System ◽  
Healthy Subjects ◽  
Low Frequency ◽  
Tilt Test ◽  
Peripheral Vascular ◽  
Control Loops ◽  
Head Up Tilt ◽  
Head Up Tilt Test

Abstract A mathematical model is proposed for the autonomic control of cardiovascular system, which takes into account two separated self-exciting sympathetic control loops of heart rate and peripheral vascular tone. The control loops are represented by self-exciting time-delay systems and their tone depends on activity of the aortic, carotid, and lower-body baroreceptors. The model is used to study the dynamics of the adaptive processes that manifest in a healthy cardiovascular system during the passive head-up tilt test. Computer simulation provides continuous observation of the dynamics of the indexes and variables that cannot be measured in the direct experiment, including the noradrenaline concentration in vessel wall and heart muscle, tone of the sympathetic and parasympathetic control, peripheral vascular resistance, and blood pressure. In the supine and upright positions, we estimated the spectral characteristics of the model variables, especially in the low-frequency band, and the original index of total percent of phase synchronization between the low-frequency oscillations in heart rate and blood pressure signals. The model demonstrates good quantitative agreement with the dynamics of the experimentally observed indexes of cardiovascular system that were averaged for 50 healthy subjects.

Bifurcation in a Simple Model of the Cardiovascular System

2000 ◽  
Vol 39 (02) ◽  
pp. 118-121 ◽  
Author(s):  
S. Akselrod ◽  
S. Eyal
Keyword(s):  
Nonlinear Dynamics ◽  
Blood Pressure ◽  
Heart Rate ◽  
Fixed Point ◽  
Cardiovascular System ◽  
Modified Model ◽  
Mayer Waves ◽  
Sustained Oscillations ◽  
Human Cardiovascular System ◽  
Physiological Values

Abstract:A simple nonlinear beat-to-beat model of the human cardiovascular system has been studied. The model, introduced by DeBoer et al. was a simplified linearized version. We present a modified model which allows to investigate the nonlinear dynamics of the cardiovascular system. We found that an increase in the -sympathetic gain, via a Hopf bifurcation, leads to sustained oscillations both in heart rate and blood pressure variables at about 0.1 Hz (Mayer waves). Similar oscillations were observed when increasing the -sympathetic gain or decreasing the vagal gain. Further changes of the gains, even beyond reasonable physiological values, did not reveal another bifurcation. The dynamics observed were thus either fixed point or limit cycle. Introducing respiration into the model showed entrainment between the respiration frequency and the Mayer waves.

scholarly journals An Optimized Mathematical Model for Items Supplies Planning of a Logistic System

2016 ◽  
Vol 10 (10) ◽  
pp. 133
Author(s):  
Mohammad Ali Nasiri Khalili ◽  
Mostafa Kafaei Razavi ◽  
Morteza Kafaee Razavi
Keyword(s):  
Mathematical Model ◽  
Mixed Integer ◽  
Logistics System ◽  
Proposed Model ◽  
Multiple Objective Decision Making ◽  
System Requirements ◽  
Purchasing Logistics ◽  
The Cost ◽  
The Mathematical Model ◽  
First Time

Items supplies planning of a logistic system is one of the major issue in operations research. In this article the aim is to determine how much of each item per month from each supplier logistics system requirements must be provided. To do this, a novel multi objective mixed integer programming mathematical model is offered for the first time. Since in logistics system, delivery on time is very important, the first objective is minimization of time in delivery on time costs (including lack and maintenance costs) and the cost of purchasing logistics system. The second objective function is minimization of the transportation supplier costs. Solving the mathematical model shows how to use the Multiple Objective Decision Making (MODM) can provide the ensuring policy and transportation logistics needed items. This model is solved with CPLEX and computational results show the effectiveness of the proposed model.

Agent-based modeling and simulation of blood vessels in the cardiovascular system

SIMULATION ◽  
2017 ◽  
Vol 95 (4) ◽  
pp. 297-312 ◽  
Author(s):  
Şebnem Bora ◽  
Vedat Evren ◽  
Sevcan Emek ◽  
Ibrahim Çakırlar
Keyword(s):  
Blood Flow ◽  
Blood Vessel ◽  
Cardiovascular System ◽  
Adaptive Behavior ◽  
Physical Parameters ◽  
Adaptive Agents ◽  
Agent Based ◽  
Proposed Model ◽  
Human Cardiovascular System

The purpose of this study is to develop a model to simulate the behavior of the human cardiovascular system for use in medical education. The proposed model ensures that the output of the system is accurately represented in both equilibrium conditions and imbalance conditions including in the presence of adaptive agents. In this study, field experts develop an agent-based blood vessel model, i.e., a submodel for the stated purpose. In the proposed blood vessel model, vessels are represented by agents whereas blood flow is represented by the interaction between agents. Adaptive behavior shown by vessels in terms of resistance to the blood flow is defined by the agents’ properties, which are used as the basis for calculating and graphically representing the physical parameters of blood flow, specifically blood pressure, blood flow velocity, and the resistance of the vessel. The adaptation of the vessel agents is supported by a case study, which demonstrates the adaptive behavior of the blood vessel agents through a negative feedback control mechanism. The blood vessel model proposed is flexible in nature such that it can be adapted to account for the behavior of the vessel sections in any vascular structure.

scholarly journals A computational physiology approach to personalized treatment models: the beneficial effects of slow breathing on the human cardiovascular system

2014 ◽  
Vol 307 (7) ◽  
pp. H1073-H1091 ◽  
Author(s):  
Maria Fonoberova ◽  
Igor Mezić ◽  
Jennifer F. Buckman ◽  
Vladimir A. Fonoberov ◽  
Adriana Mezić ◽  
...  
Keyword(s):  
Blood Pressure ◽  
Heart Rate ◽  
Heart Rate Variability ◽  
Cardiovascular System ◽  
Empirical Support ◽  
System Level ◽  
Heart Period ◽  
Heart Rate Variability Biofeedback ◽  
Human Cardiovascular System ◽  
Slow Breathing

Heart rate variability biofeedback intervention involves slow breathing at a rate of ∼6 breaths/min (resonance breathing) to maximize respiratory and baroreflex effects on heart period oscillations. This intervention has wide-ranging clinical benefits and is gaining empirical support as an adjunct therapy for biobehavioral disorders, including asthma and depression. Yet, little is known about the system-level cardiovascular changes that occur during resonance breathing or the extent to which individuals differ in cardiovascular benefit. This study used a computational physiology approach to dynamically model the human cardiovascular system at rest and during resonance breathing. Noninvasive measurements of heart period, beat-to-beat systolic and diastolic blood pressure, and respiration period were obtained from 24 healthy young men and women. A model with respiration as input was parameterized to better understand how the cardiovascular processes that control variability in heart period and blood pressure change from rest to resonance breathing. The cost function used in model calibration corresponded to the difference between the experimental data and model outputs. A good match was observed between the data and model outputs (heart period, blood pressure, and corresponding power spectral densities). Significant improvements in several modeled cardiovascular functions (e.g., blood flow to internal organs, sensitivity of the sympathetic component of the baroreflex, ventricular elastance) were observed during resonance breathing. Individual differences in the magnitude and nature of these dynamic responses suggest that computational physiology may be clinically useful for tailoring heart rate variability biofeedback interventions for the needs of individual patients.

scholarly journals Physical and Mathematical Model of Heart and Cardiovascular System

2020 ◽  
pp. 4-10
Author(s):  
Aditya Kundu ◽  
Ananya Kundu ◽  
Goutam Kumar Kundu
Keyword(s):  
Physical Activity ◽  
Blood Pressure ◽  
Mathematical Model ◽  
Cardiovascular System ◽  
Flow System ◽  
Circulatory System ◽  
Activity Level ◽  
System Modelling ◽  
Cardiovascular Parameters ◽  
Piping Systems

The cardiovascular system is modelled as a fluid flow system consisting of networks of pumps and piping systems. A mathematical model relating different cardiovascular parameters was developed. The change in cardiovascular parameters with individuals’ physical activity level, habits and environmental factors was established. The models used to predict how an individual can control the cardiovascular parameters to be healthy and diagnosing problems in the system.Keywords: Blood Pressure; Circulatory system modelling; Heart Rate.

scholarly journals Mathematical Modeling of the Antihypertensive Drugs Action

2019 ◽  
Vol 14 (1) ◽  
pp. 233-256
Author(s):  
I.N. Kiselev ◽  
E.O. Kutumova ◽  
A.F. Kolpakova ◽  
G.I. Lifshits ◽  
F.A. Kolpakov
Keyword(s):  
Mathematical Modeling ◽  
Blood Pressure ◽  
Clinical Trials ◽  
Cardiovascular System ◽  
Antihypertensive Drugs ◽  
Mechanisms Of Action ◽  
Virtual Patients ◽  
Blood Pressure Decrease ◽  
Human Cardiovascular System ◽  
Good Agreement

Arterial hypertension is one of the most common diseases of the human cardiovascular system and is characterized by persistent increase in blood pressure. Normalization of blood pressure can be achieved by using antihypertensive drugs with various mechanisms of action. In this work, we investigated a modular mathematical model of the human cardiovascular system created earlier, and complemented it with pharmacodynamic models of five different classes of antihypertensive drugs with such exemplars as aliskiren, losartan, bisoprolol, enalapril and amlodipine. We used clinical trials found in the literature in order to validate the resulting model. Specifically, we generated a population of virtual patients with high blood pressure and modeled their treatment with these antihypertensive drugs. Eventually, the model predicted blood pressure decrease in good agreement with clinical trials. In this way, our model can be further used to optimize the choice of drugs for a particular patient.In silico

scholarly journals The impact of сіоле tree essential oil on the functions of the cardiovascular system of the elderly depending on its initial state

2020 ◽  
pp. 90-105
Author(s):  
A. M. Yarosh ◽  
I. A. Batura ◽  
V. V. Tonkovtseva ◽  
V. V. Bekmambetov ◽  
E.-E. V. Nagovskaya ◽  
...  
Keyword(s):  
Blood Pressure ◽  
Cardiac Output ◽  
Essential Oil ◽  
Cardiovascular System ◽  
Blood Circulation ◽  
Elderly Women ◽  
The Elderly ◽  
Normal Blood ◽  
Normal Blood Pressure ◽  
Small Deviations

Objective. To study the effect of clove tree essential oil on the cardiovascular function of the elderly with normal blood pressure and with small deviations in the direction of hypertension and hypotension. Materials and methods. The study included 293 elderly women divided into 3 control (sessions of relaxation psychotherapy) and 3 experimental (sessions of relaxation psychotherapy combined with sessions of aromatherapy with clove tree essential oil) groups by blood pressure (normal, small deviations towards hypertension and hypotension), each of which was divided into three subgroups by exposure time (10, 20 and 30 minutes). Before and after the sessions, systolic, diastolic blood pressure and heart rate of the testees were measured, and then the following indicators were calculated: pulse pressure, stroke volume, minute cardiac output, average dynamic arterial pressure, total peripheral vascular resistance, heart mdex<, Robinson rndex^ Kerdo index<, coefficient of efficiency of blood circulation. Results. It was found that the effect of clove tree essential oil depends on the initial level of blood pressure. The testees with a slightly increased blood pressure (up to140 mm Hg) after aroma sessions of aU durations the blood pressure became normal. Accordingly, the values of the minute cardiac output, heart mdex<, coefficient of efficiency of blood circulation, Robinson index were normalized. The testees with normal blood pressure, the sessions of aroma psycho-relaxation practically did not cause changes in parameters characterizing the functions of the cardiovascular system The testees with moderate hypotension (on the average110 mm Hg) during the aroma sessions had the shifts to the normal of the parameters characterizing the functions of the cardiovascular system Thus, clove tree essential oil has a normalizing effect on the function of the cardiovascular system of elderly women at all its initial values.

scholarly journals A Bioinformatics Perspective on the Links Between Tetraspanin-Enriched Microdomains and Cardiovascular Pathophysiology

2021 ◽  
Vol 8 ◽  
Author(s):  
Ge Sun ◽  
Junxiong Chen ◽  
Yingjun Ding ◽  
Jonathan D. Wren ◽  
Fuyi Xu ◽  
...  
Keyword(s):  
Blood Pressure ◽  
Cardiovascular System ◽  
Target Genes ◽  
Mapk Signaling ◽  
Immunoglobulin Superfamily ◽  
Membrane Domains ◽  
Expression Levels ◽  
Blood Pressure Data ◽  
Human Cardiovascular System ◽  
Cell Adhesion Proteins

Background: Tetraspanins and integrins are integral membrane proteins. Tetraspanins interact with integrins to modulate the dynamics of adhesion, migration, proliferation, and signaling in the form of membrane domains called tetraspanin-enriched microdomains (TEMs). TEMs also contain other cell adhesion proteins like immunoglobulin superfamily (IgSF) proteins and claudins. Cardiovascular functions of these TEM proteins have emerged and remain to be further revealed.Objectives: The aims of this study are to explore the roles of these TEM proteins in the cardiovascular system using bioinformatics tools and databases and to highlight the TEM proteins that may functionally associate with cardiovascular physiology and pathology.Methods: For human samples, three databases—GTEx, NCBI-dbGaP, and NCBI-GEO—were used for the analyses. The dbGaP database was used for GWAS analysis to determine the association between target genes and human phenotypes. GEO is an NCBI public repository that archives genomics data. GTEx was used for the analyses of tissue-specific mRNA expression levels and eQTL. For murine samples, GeneNetwork was used to find gene–phenotype correlations and gene–gene correlations of expression levels in mice. The analysis of cardiovascular data was the focus of this study.Results: Some integrins and tetraspanins, such as ITGA8 and Cd151, are highly expressed in the human cardiovascular system. TEM components are associated with multiple cardiovascular pathophysiological events in humans. GWAS and GEO analyses showed that human Cd82 and ITGA9 are associated with blood pressure. Data from mice also suggest that various cardiovascular phenotypes are correlated with integrins and tetraspanins. For instance, Cd82 and ITGA9, again, have correlations with blood pressure in mice.Conclusion:ITGA9 is related to blood pressure in both species. KEGG analysis also linked ITGA9 to metabolism and MAPK signaling pathway. This work provides an example of using integrated bioinformatics approaches across different species to identify the connections of structurally and/or functionally related molecules to certain categories of diseases.

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