Reproducing Cardiac Restitution Properties Using the Fenton–Karma Membrane Model

Oliver, R. A.; Krassowska, Wanda

doi:10.1007/s10439-005-3948-3

Cited by 26 publications

(20 citation statements)

References 6 publications

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“…This model is described in detail elsewhere [17][18][19][20][21]. Briefly, total current density in the cell membrane is modelled as the sum of three components, J fi , J si and J so .…”

Section: Computational Modelmentioning

confidence: 99%

Influence of cardiac tissue anisotropy on re-entrant activation in computational models of ventricular fibrillation

Clayton

2009

Physica D: Nonlinear Phenomena

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Published paper Clayton, R.H (2009) Influence of cardiac tissue anisotropy on re-entrant activation in computational models of ventricular fibrillation. Physica D-Nonlinear Phenomena, AbstractThe aim of this study was to establish the role played by anisotropic diffusion in (i) the number of filaments and epicardial phase singularities that sustain ventricular fibrillation in the heart, (ii) the lifetimes of filaments and phase singularities, and (iii) the creation and annihilation dynamics of filaments and phase singularities. A simplified monodomain model of cardiac tissue was used, with membrane excitation described by a simplified 3-variable model. The model was configured so that a single re-entrant wave was unstable, and fragmented into multiple re-entrant waves. Re-entry was then initiated in tissue slabs with varying anisotropy ratio. The main findings of this computational study are: (i) anisotropy ratio influenced the number of filaments sustaining simulated ventricular fibrillation, with more filaments present in simulations with smaller values of transverse diffusion coefficient, (ii) each re-entrant filament was associated with around 0.9 phase singularities on the surface of the slab geometry, (iii) phase singularities were longer lived than filaments, and (iv) the creation and annihilation of filaments and phase singularities were linear functions of the number of filaments and phase singularities, and these relationships were independent of the anisotropy ratio. This study underscores the important role played by tissue anisotropy in cardiac ventricular fibrillation.

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“…This model is described in detail elsewhere [17][18][19][20][21]. Briefly, total current density in the cell membrane is modelled as the sum of three components, J fi , J si and J so .…”

Section: Computational Modelmentioning

confidence: 99%

Influence of cardiac tissue anisotropy on re-entrant activation in computational models of ventricular fibrillation

Clayton

2009

Physica D: Nonlinear Phenomena

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“…The LR-I is an established mathematical model for cardiac excitation generation in mammalian ventricular cell. This model is chosen because it well described the six ionic currents that retain enough structure of basic currents involved in cardiac excitation to reproduce exact AP morphologies [11] and the model is flexible enough that the parameters can be fitted to replicate accurately the properties and dynamics of other complex ionic models as well as experimental data [12][13] such as action potential duration (APD), thresholds for excitation, upstroke velocities, minimum APD before reaching conduction block, and phase-locking response characteristics to current stimulations. The FPGA implementation in the simulation cardiac excitation model under the voltage clamp is conducted by using the MATLAB Simulink through HDL Coder that gives an opportunity in obtaining Hardware Description Language (HDL) code by using an automatic code generation process without traditionally coding of the HDL code [9].…”

Section: Methodsmentioning

confidence: 99%

FPGA in-the-loop simulations of cardiac excitation model under voltage clamp conditions

Othman¹,

Adon²,

Mahmud³

2017

AIP Conference Proceedings

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Abstract. Voltage clamp technique allows the detection of single channel currents in biological membranes in identifying variety of electrophysiological problems in the cellular level. In this paper, a simulation study of the voltage clamp technique has been presented to analyse current-voltage (I-V) characteristics of ion currents based on Luo-Rudy Phase-I (LR-I) cardiac model by using a Field Programmable Gate Array (FPGA). Nowadays, cardiac models are becoming increasingly complex which can cause a vast amount of time to run the simulation. Thus, a real-time hardware implementation using FPGA could be one of the best solutions for high-performance real-time systems as it provides high configurability and performance, and able to executes in parallel mode operation. For shorter time development while retaining high confidence results, FPGA-based rapid prototyping through HDL Coder from MATLAB software has been used to construct the algorithm for the simulation system. Basically, the HDL Coder is capable to convert the designed MATLAB Simulink blocks into hardware description language (HDL) for the FPGA implementation. As a result, the voltage-clamp fixed-point design of LR-I model has been successfully conducted in MATLAB Simulink and the simulation of the I-V characteristics of the ionic currents has been verified on Xilinx FPGA Virtex-6 XC6VLX240T development board through an FPGA-in-the-loop (FIL) simulation.

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“…5 The details of choosing the parameters are reported elsewhere. 17 The resulting FKCRN model and the parameter values used are shown in Table 1. The notation used in Table 1 is that used by our group; specifically, most variables were renamed to reflect their function.…”

Section: Membrane Modelmentioning

confidence: 99%

“…The APD restitution curves are monotonic; the CV restitution curves show supernormal conductivity, a feature also present in the CRN model. 17 …”

Section: Membrane Modelmentioning

confidence: 99%

Bistability and Correlation with Arrhythmogenesis in a Model of the Right Atrium

2005

Self Cite

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Abstract-Rapid pacing is an important tool for understanding cardiac arrhythmias. A recent experiment involving rapid pacing of sheep atria indicated that the initiation of atrial arrhythmias may be related to the 1:1/2:1 bistability. To elucidate the mechanism of this relation, this study applied the pacing protocol from the sheep study to an idealized model of the right atrium. The model included all major anatomical features, the sino-atrial node, and the regional differences in the action potential duration (APD). A pacing protocol was applied, in which the basic cycle length (BCL) was decreased in steps of 10 ms until the response switched to 2:1, then BCL was increased. The 1:1-to-2:1 transitions occurred at shorter BCLs than the 2:1-to-1:1 transitions yielding a global bistability window of 60 ms. As in the sheep study, idiopathic waves were observed at BCLs within or near the bistability window. The model was used to quantify the types, prevalence, and persistence of idiopatic waves, study their initiation and termination, and relate them to the model components. The results demonstrate that idiopatic waveforms move with the shift of the bistability window and that they disappear when bistability is eliminated. Thus, this modeling study supports causal relationship between the 1:1/2:1 bistability and the initiation of arrhythmias.

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Reproducing Cardiac Restitution Properties Using the Fenton–Karma Membrane Model

Cited by 26 publications

References 6 publications

Influence of cardiac tissue anisotropy on re-entrant activation in computational models of ventricular fibrillation

Influence of cardiac tissue anisotropy on re-entrant activation in computational models of ventricular fibrillation

FPGA in-the-loop simulations of cardiac excitation model under voltage clamp conditions

Bistability and Correlation with Arrhythmogenesis in a Model of the Right Atrium

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