Complex bio rhythms

Akgül, Akif; Savi, Marcelo A.; Yıldız, Mustafa Zahid; Sanjuán, Miguel A. F.; Ma, Jun

doi:10.1140/epjs/s11734-022-00540-7

Cited by 5 publications

(4 citation statements)

References 25 publications

(23 reference statements)

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“…Physiologically, normal compliance of the heart depends on the regularity of the system. References [9][10][11][12][13] have shown that the construction of synthetic ECGs can reveal a variety of responses, including normal and pathological rhythms. In a similar vein, Norbert Wiener and Arturo Rosenblueth, in their work on the mathematical formulation of the problem of impulse conduction in a network of connected excitable elements, notably in cardiac muscle, demonstrated the importance of the spatial role of depolarization waves on cardiac tissue, beyond just the SA and AV nodes, and the His bundles and Purkinje fibers [14].…”

Section: Introductionmentioning

confidence: 99%

On the heart rhythm analysis using a nonlinear dynamics perspective: analytical study and electronic simulation

Fonkou,

Kengne,

Wamba

et al. 2024

Phys. Scr.

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Biological systems are highly complex, so understanding them requires extensive analysis. Cardiac rhythms are one such analysis. These rhythms are linked to a complex dynamic system defined on the basis of the electrical activity of cardiac cells. This electrical activity is essential to human physiology, defining numerous behaviours that include normal or pathological rhythms, generally measured by the electrocardiogram (ECG). This article presents a mathematical model to describe the electrical activity of the heart, using a nonlinear dynamics perspective. The stability analysis of this model in its autonomous state, uni-directionally coupled, shows a very rich dynamical behaviour characterized by periodical regions of stability and unstability. The model studied makes it possible to construct synthetic ECGs. These ECGs demonstrate a variety of responses, including normal and pathological rhythms: ventricular flutter, ventricular fibrillation, ventricular tachycardia and ventricular extrasystole. A quantitative analysis of the model is also carried out using bifurcation diagrams and the corresponding maximum Lyapunov exponents. In addition, variations in sinus rhythm are described by a time-dependent frequency (a dynamic variable varying in a disordered manner or following a given law), representing transient disturbances. This type of situation can represent transitions between different pathological behaviours or between normal and pathological physiologies. In this respect, the perspective of nonlinear dynamics is used to describe cardiac rhythms, which makes it possible to represent normal or pathological behaviours. An electronic simulation performed with the OrCAD-Pspice software for a real implementation of the cardiac system is carried out. The results obtained are in agreement with those obtained numerically.

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Section: Introductionmentioning

confidence: 99%

On the heart rhythm analysis using a nonlinear dynamics perspective: analytical study and electronic simulation

Fonkou,

Kengne,

Wamba

et al. 2024

Phys. Scr.

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“…The heart rhythm is governed by the flow of this impulse as it passes through the heart and allows all the structures of the heart to contract synchronously. This is the regulatory core of the heart rhythm [ 15 , 16 ]. In the cardiac system, the node of origin of the electrical impulse is the sinus node, also known as the natural pacemaker.…”

Section: Introductionmentioning

confidence: 99%

Dynamical behavior analysis of the heart system by the bifurcation structures

Fonkou

Kengne

Kamgang

et al. 2023

Heliyon

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“…That is, the inner electromagnetic field energy is changed by external physical stimuli. From dynamical viewpoint, external stimuli and even noisy disturbance can induce distinct mode transition in the oscillatory state [28]. The cell membrane shows some properties of capacitor with controllable capacitance because of its flexibility, the ion channels embedded into the cell membrane show some properties of inductors with adjustable inductance because its activation is controllable (active or blocking).…”

Section: Introductionmentioning

confidence: 99%

Energy flow and stochastic resonance in a memristive neuron

Hou,

Hu,

Guo

et al. 2023

Phys. Scr.

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Static distribution of intracellular ions including calcium, sodium and potassium activates spatial distribution of electric field and energy is kept in the biological neurons. Continuous propagation of the intracellular and extracellular ions across the membrane channels can induce magnetic field accompanying with diffusion of field energy as well. In this paper, two kinds of memristors are connected in parallel and they are used as memristive channels for building a new neural circuit, which can perceive external magnetic field and electric field synchronously. The memristive channel developed from the charge-controlled memristor (CCM) can discern the changes of external electric field, and another memristive channel based on the magnetic flux-controlled memristor (MFCM) can detect the fluctuation of external magnetic field. The inner electromagnetic field energy is shunted between the capacitor, inductor and two memristors, and the inner field energy is described by an equivalent Hamilton energy H for this neuron including a sum for four terms (H C , H L , H M , H W ). The energy proportion of memristive channel to total energy is controlled to realize mode selection and transition in the firing patterns. Noisy disturbance is applied to discern the occurrence of stochastic resonance in this memristive neuron.

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Complex bio rhythms

Cited by 5 publications

References 25 publications

On the heart rhythm analysis using a nonlinear dynamics perspective: analytical study and electronic simulation

On the heart rhythm analysis using a nonlinear dynamics perspective: analytical study and electronic simulation

Dynamical behavior analysis of the heart system by the bifurcation structures

Energy flow and stochastic resonance in a memristive neuron

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