Spiral-Wave Dynamics in Ionically Realistic MathematicalModels for Human Ventricular Tissue: The Effects of PeriodicDeformation
We carry out an extensive numerical study of the dynamics of spiral waves of electrical activation, in the presence of periodic deformation (PD) in two-dimensional simulation domains, in the biophysically realistic mathematical models of human ventricular tissue due to (a) ten-Tusscher and Panfilov...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2014-06-01
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| Series: | Frontiers in Physiology |
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| Online Access: | http://journal.frontiersin.org/Journal/10.3389/fphys.2014.00207/full |
| _version_ | 1811242061247021056 |
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| author | Alok Ranjan Nayak Rahul ePandit |
| author_facet | Alok Ranjan Nayak Rahul ePandit |
| author_sort | Alok Ranjan Nayak |
| collection | DOAJ |
| description | We carry out an extensive numerical study of the dynamics of spiral waves of electrical activation, in the presence of periodic deformation (PD) in two-dimensional simulation domains, in the biophysically realistic mathematical models of human ventricular tissue due to (a) ten-Tusscher and Panfilov (the TP06 model) and (b) ten-Tusscher, Noble, Noble, and Panfilov (the<br/>TNNP04 model). We first consider simulations in cable-type domains, in which we calculate the conduction velocity $CV$ and<br/>the wavelength $lambda$ of a plane wave; we show that PD leads to a periodic, spatial modulation of $CV$ and a temporally<br/>periodic modulation of $lambda$; both these modulations depend on the amplitude and frequency of the PD. We then examine three types of initial conditions for both TP06 and TNNP04 models and show that the imposition of PD leads to a rich variety of<br/>spatiotemporal patterns in the transmembrane potential including states with a single rotating spiral (RS) wave, a spiral-turbulence (ST) state with a single meandering spiral, an ST state with multiple broken spirals, and a state SA in which all spirals are absorbed at the boundaries of our simulation domain. We find, for both TP06 and TNNP04 models, that spiral-wave dynamics depends sensitively on the amplitude and frequency of PD and the initial condition. We examine how these different types of spiral-wave states can be eliminated in the presence of PD by the application of low-amplitude pulses on square and rectangular control meshes. We suggest specific experiments that can test the results of our simulations. |
| first_indexed | 2024-04-12T13:46:21Z |
| format | Article |
| id | doaj.art-157885cadbb84859b5ff3a6a9797f1dd |
| institution | Directory Open Access Journal |
| issn | 1664-042X |
| language | English |
| last_indexed | 2024-04-12T13:46:21Z |
| publishDate | 2014-06-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physiology |
| spelling | doaj.art-157885cadbb84859b5ff3a6a9797f1dd2022-12-22T03:30:40ZengFrontiers Media S.A.Frontiers in Physiology1664-042X2014-06-01510.3389/fphys.2014.0020770356Spiral-Wave Dynamics in Ionically Realistic MathematicalModels for Human Ventricular Tissue: The Effects of PeriodicDeformationAlok Ranjan Nayak0Rahul ePandit1Indian Institute of Science, Bangalore, IndiaIndian Institute of Science, Bangalore, IndiaWe carry out an extensive numerical study of the dynamics of spiral waves of electrical activation, in the presence of periodic deformation (PD) in two-dimensional simulation domains, in the biophysically realistic mathematical models of human ventricular tissue due to (a) ten-Tusscher and Panfilov (the TP06 model) and (b) ten-Tusscher, Noble, Noble, and Panfilov (the<br/>TNNP04 model). We first consider simulations in cable-type domains, in which we calculate the conduction velocity $CV$ and<br/>the wavelength $lambda$ of a plane wave; we show that PD leads to a periodic, spatial modulation of $CV$ and a temporally<br/>periodic modulation of $lambda$; both these modulations depend on the amplitude and frequency of the PD. We then examine three types of initial conditions for both TP06 and TNNP04 models and show that the imposition of PD leads to a rich variety of<br/>spatiotemporal patterns in the transmembrane potential including states with a single rotating spiral (RS) wave, a spiral-turbulence (ST) state with a single meandering spiral, an ST state with multiple broken spirals, and a state SA in which all spirals are absorbed at the boundaries of our simulation domain. We find, for both TP06 and TNNP04 models, that spiral-wave dynamics depends sensitively on the amplitude and frequency of PD and the initial condition. We examine how these different types of spiral-wave states can be eliminated in the presence of PD by the application of low-amplitude pulses on square and rectangular control meshes. We suggest specific experiments that can test the results of our simulations.http://journal.frontiersin.org/Journal/10.3389/fphys.2014.00207/fullventricular modelwave-dynamicsrotating spiralmeandering spiralspiral turbulenceperiodic deformation |
| spellingShingle | Alok Ranjan Nayak Rahul ePandit Spiral-Wave Dynamics in Ionically Realistic MathematicalModels for Human Ventricular Tissue: The Effects of PeriodicDeformation Frontiers in Physiology ventricular model wave-dynamics rotating spiral meandering spiral spiral turbulence periodic deformation |
| title | Spiral-Wave Dynamics in Ionically Realistic MathematicalModels for Human Ventricular Tissue: The Effects of PeriodicDeformation |
| title_full | Spiral-Wave Dynamics in Ionically Realistic MathematicalModels for Human Ventricular Tissue: The Effects of PeriodicDeformation |
| title_fullStr | Spiral-Wave Dynamics in Ionically Realistic MathematicalModels for Human Ventricular Tissue: The Effects of PeriodicDeformation |
| title_full_unstemmed | Spiral-Wave Dynamics in Ionically Realistic MathematicalModels for Human Ventricular Tissue: The Effects of PeriodicDeformation |
| title_short | Spiral-Wave Dynamics in Ionically Realistic MathematicalModels for Human Ventricular Tissue: The Effects of PeriodicDeformation |
| title_sort | spiral wave dynamics in ionically realistic mathematicalmodels for human ventricular tissue the effects of periodicdeformation |
| topic | ventricular model wave-dynamics rotating spiral meandering spiral spiral turbulence periodic deformation |
| url | http://journal.frontiersin.org/Journal/10.3389/fphys.2014.00207/full |
| work_keys_str_mv | AT alokranjannayak spiralwavedynamicsinionicallyrealisticmathematicalmodelsforhumanventriculartissuetheeffectsofperiodicdeformation AT rahulepandit spiralwavedynamicsinionicallyrealisticmathematicalmodelsforhumanventriculartissuetheeffectsofperiodicdeformation |