Role of temperature on nonlinear cardiac dynamics

Fenton, Flavio H.; Gizzi, Alessio; Cherubini, Christian; Pomella, Nicola; Filippi, Sandra

doi:10.1103/physreve.87.042717

Cited by 48 publications

(52 citation statements)

References 85 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the following, one will take T 0 = 37 o C and the two parameters Q 10 and B will be fixed to values whose orders of magnitude correspond to values from the literature [10,34,35]: Q 10 = 3 and B = 0.008 K −1 .…”

Section: A Governing Equationsmentioning

confidence: 99%

“…The hypothermia has been shown to be a beneficial effect in resuscitation therapy. Recent modeling studies [9,10] have put forward that fibrillation is dependent of the system size and the body temperature. These studies claim that fibrillation tends to be easier to initiate at lower temperatures and that the frequency of fibrillation decreases with lower temperatures.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Temperature, geometry, and bifurcations in the numerical modeling of the cardiac mechano-electric feedback

Collet

Bragard

Dauby

2017

Chaos: An Interdisciplinary Journal of Nonlinear Science

View full text Add to dashboard Cite

This article characterizes the cardiac autonomous electrical activity induced by the mechanical deformations in the cardiac tissue through the mechano-electric feedback (MEF). A simplified and qualitative model is used to describe the system and we also account for temperature effects. The analysis emphasizes a very rich dynamics for the system, with periodic solutions, alternans, chaotic behaviors, etc. The possibility of self-sustained oscillations is analyzed in detail, particularly in terms of the values of important parameters such as the dimension of the system and the importance of the stretch-activated currents. It is also shown that high temperatures notably increase the parameters ranges for which self-sustained oscillations are observed and that several attractors can appear, depending on the location of the initial excitation of the system. Finally, the instability mechanisms by which the periodic solutions are destabilized have been studied by a Floquet analysis, which has revealed period-doubling phenomena and transient intermittencies.

show abstract

Section: A Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Temperature, geometry, and bifurcations in the numerical modeling of the cardiac mechano-electric feedback

Collet

Bragard

Dauby

2017

Chaos: An Interdisciplinary Journal of Nonlinear Science

View full text Add to dashboard Cite

show abstract

“…Examples of parameters that can induce a period-doubling bifurcation in cardiac systems include pacing frequency (28), temperature (29), and drugs (30,31). Thus, further development of statistical measures to predict the onset of period-doubling bifurcations is clinically relevant.…”

mentioning

confidence: 99%

Predicting the onset of period-doubling bifurcations in noisy cardiac systems

Quail

Shrier

Glass

2015

Proc. Natl. Acad. Sci. U.S.A.

View full text Add to dashboard Cite

Biological, physical, and social systems often display qualitative changes in dynamics. Developing early warning signals to predict the onset of these transitions is an important goal. The current work is motivated by transitions of cardiac rhythms, where the appearance of alternating features in the timing of cardiac events is often a precursor to the initiation of serious cardiac arrhythmias. We treat embryonic chick cardiac cells with a potassium channel blocker, which leads to the initiation of alternating rhythms. We associate this transition with a mathematical instability, called a period-doubling bifurcation, in a model of the cardiac cells. Period-doubling bifurcations have been linked to the onset of abnormal alternating cardiac rhythms, which have been implicated in cardiac arrhythmias such as T-wave alternans and various tachycardias. Theory predicts that in the neighborhood of the transition, the system's dynamics slow down, leading to noise amplification and the manifestation of oscillations in the autocorrelation function. Examining the aggregates' interbeat intervals, we observe the oscillations in the autocorrelation function and noise amplification preceding the bifurcation. We analyze plots-termed return maps-that relate the current interbeat interval with the following interbeat interval. Based on these plots, we develop a quantitative measure using the slope of the return map to assess how close the system is to the bifurcation. Furthermore, the slope of the return map and the lag-1 autocorrelation coefficient are equal. Our results suggest that the slope and the lag-1 autocorrelation coefficient represent quantitative measures to predict the onset of abnormal alternating cardiac rhythms.early warning signals | period-doubling bifurcations | cardiac arrhythmias | dynamical systems

show abstract

“…A recent work [58] on the role of temperature on nonlinear cardiac dynamics (alternans in paced ventricular tissues) showed very interesting results. They found that in case of hypothermia (26 • C), ".…”

Section: Discussionmentioning

confidence: 99%

In vitroarrhythmia generation by mild hypothermia: a pitchfork bifurcation type process

Xu¹,

Jacquir²,

Laurent³

et al. 2015

Physiol. Meas.

View full text Add to dashboard Cite

The neurological damage after cardiac arrest (CA) constitutes a big challenge of hospital discharge.The therapeutic hypothermia (34 • C − 32 • C) has shown its benefit to reduce cerebral oxygen demand and improve neurological outcomes after the cardiac arrest. However, it can have many adverse effects, The process of therapeutic hypothermia after cardiac arrest can be represented by a Pitchfork bifurcation type process, which could explain the different ratio of arrhythmia among the adverse effects after this therapy. This nonlinear dynamics suggests that a variable speed of cooling / rewarming, especially when passing 35 • C, would help to decrease the ratio of post-hypothermia arrhythmia and then improve the hospital output.

show abstract

Role of temperature on nonlinear cardiac dynamics

Cited by 48 publications

References 85 publications

Temperature, geometry, and bifurcations in the numerical modeling of the cardiac mechano-electric feedback

Temperature, geometry, and bifurcations in the numerical modeling of the cardiac mechano-electric feedback

Predicting the onset of period-doubling bifurcations in noisy cardiac systems

In vitroarrhythmia generation by mild hypothermia: a pitchfork bifurcation type process

Contact Info

Product

Resources

About