A three-compartment non-linear model of myocardial cell conduction block during photosensitization

This study constructed a new non-linear model of myocardial electrical conduction block during photosensitization reaction to identify the vulnerable cell population and generate an index for recurrent risk following catheter ablation for tachyarrhythmia. A three-compartment model of conductive, vulnerable, and blocked cells was proposed. To determine the non-linearity of the rate parameter for the change from vulnerable cells to conductive cells, we compared a previously reported non-linear model and our newly proposed model with non-linear rate parameters in the modeling of myocardial cell electrical conduction block during photosensitization reaction. The rate parameters were optimized via a bi-nested structure using measured synchronicity data during the photosensitization reaction of myocardial cell wires. The newly proposed model had a better fit to the measured data than the conventional model. The sum of the error until the time where the measured value was higher than 0.6, was 0.22 in the conventional model and 0.07 in our new model. The non-linear rate parameter from the vulnerable cell to the conductive cell compartment may be the preferred structure of the electrical conduction block model induced by photosensitization reaction. This simulation model provides an index to evaluate recurrent risk after tachyarrhythmia catheter ablation by photosensitization reaction. A three-compartment non-linear model of myocardial cell conduction block during photosensitization.

[1]  H. Bagaria,et al.  Transient solution to the bioheat equation and optimization for magnetic fluid hyperthermia treatment , 2005, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

[2]  Henry Eyring,et al.  Conformation Changes of Proteins , 1954 .

[3]  Ulrich Parlitz,et al.  High-Resolution Optical Measurement of Cardiac Restitution, Contraction, and Fibrillation Dynamics in Beating vs. Blebbistatin-Uncoupled Isolated Rabbit Hearts , 2020, Frontiers in Physiology.

[4]  Tsunenori Arai,et al.  Nonthermal Cardiac Catheter Ablation Using Photodynamic Therapy , 2013, Circulation. Arrhythmia and electrophysiology.

[5]  Flavio H Fenton,et al.  Mechanism for Amplitude Alternans in Electrocardiograms and the Initiation of Spatiotemporal Chaos. , 2017, Physical review letters.

[6]  A. Pandolfi,et al.  Theoretical and Numerical Modeling of Nonlinear Electromechanics with applications to Biological Active Media , 2015 .

[7]  M. Mildner,et al.  Re-epithelialization and immune cell behaviour in an ex vivo human skin model , 2020, Scientific Reports.

[8]  S. Weinberg,et al.  Ephaptic coupling rescues conduction failure in weakly coupled cardiac tissue with voltage-gated gap junctions. , 2017, Chaos.

[9]  Alfio Quarteroni,et al.  Integrated Heart—Coupling multiscale and multiphysics models for the simulation of the cardiac function , 2017 .

[10]  D. Hurtado,et al.  Computational modeling of non-linear diffusion in cardiac electrophysiology: A novel porous-medium approach , 2016 .

[11]  C S Henriquez,et al.  A space-time adaptive method for simulating complex cardiac dynamics. , 2000, Physical review letters.

[12]  Shinsuke Nakayama,et al.  Pulse-Driven Magnetoimpedance Sensor Detection of Cardiac Magnetic Activity , 2011, PloS one.

[13]  Daisuke Sato,et al.  Cardiac Electrophysiological Dynamics From the Cellular Level to the Organ Level , 2013, Biomedical engineering and computational biology.

[14]  Tsunenori Arai,et al.  Optimal conditions for cardiac catheter ablation using photodynamic therapy. , 2015, Europace : European pacing, arrhythmias, and cardiac electrophysiology : journal of the working groups on cardiac pacing, arrhythmias, and cardiac cellular electrophysiology of the European Society of Cardiology.

[15]  Alessio Gizzi,et al.  Effects of Pacing Site and Stimulation History on Alternans Dynamics and the Development of Complex Spatiotemporal Patterns in Cardiac Tissue , 2013, Front. Physiol..

[16]  Simona Perotto,et al.  Efficient estimation of cardiac conductivities: A proper generalized decomposition approach , 2020, J. Comput. Phys..

[17]  Tsunenori Arai,et al.  Irradiance dependence of the conduction block of an in vitro cardiomyocyte wire. , 2017, Photodiagnosis and photodynamic therapy.

[18]  Ricardo Ruiz-Baier,et al.  A note on stress-driven anisotropic diffusion and its role in active deformable media. , 2017, Journal of theoretical biology.

[19]  Flavio H. Fenton,et al.  SPATIOTEMPORAL CONTROL OF WAVE INSTABILITIES IN CARDIAC TISSUE , 1999 .

[20]  Alessio Gizzi,et al.  Role of temperature on nonlinear cardiac dynamics. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  Yusheng Feng,et al.  A two-state cell damage model under hyperthermic conditions: theory and in vitro experiments. , 2008, Journal of biomechanical engineering.

[22]  Tingying Peng,et al.  A Three-State Mathematical Model of Hyperthermic Cell Death , 2010, Annals of Biomedical Engineering.

[23]  H Eugene Stanley,et al.  Emergence of dynamical complexity related to human heart rate variability. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  P M Corry,et al.  Application of the time-dependent Green's function and Fourier transforms to the solution of the bioheat equation. , 1995, International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group.

[25]  W. Pohlit Radiation sensitivity and repair capacity dependent on cell concentration? , 1973, Biophysik.

[26]  Ricardo Ruiz-Baier,et al.  Competing Mechanisms of Stress-Assisted Diffusivity and Stretch-Activated Currents in Cardiac Electromechanics , 2018, Front. Physiol..

[27]  Simonetta Filippi,et al.  Key aspects for effective mathematical modelling of fractional-diffusion in cardiac electrophysiology: A quantitative study , 2020, Commun. Nonlinear Sci. Numer. Simul..

[28]  Carl van Vreeswijk,et al.  Temporal Correlations in Stochastic Networks of Spiking Neurons , 2002, Neural Computation.

[29]  Charles M Lieber,et al.  Flexible electrical recording from cells using nanowire transistor arrays , 2009, Proceedings of the National Academy of Sciences.

[30]  Carlo J. De Luca,et al.  A Note on the Noninvasive Estimation of Muscle Fiber Conduction Velocity , 1985, IEEE Transactions on Biomedical Engineering.

[31]  Michael S. Breen,et al.  Modeling cellular thermal damage from radio-frequency ablation , 2002, Proceedings of the Second Joint 24th Annual Conference and the Annual Fall Meeting of the Biomedical Engineering Society] [Engineering in Medicine and Biology.

[32]  Alessio Gizzi,et al.  Experimental validation of a variational data assimilation procedure for estimating space-dependent cardiac conductivities , 2020 .

[33]  T. Okano,et al.  Hippo pathway regulation by cell morphology and stress fibers , 2011, Development.

[34]  A. Garfinkel,et al.  Nonlinear and Stochastic Dynamics in the Heart. , 2014, Physics reports.

[35]  Nicolas Brunel,et al.  How Connectivity, Background Activity, and Synaptic Properties Shape the Cross-Correlation between Spike Trains , 2009, The Journal of Neuroscience.

[36]  J. M. Sanchez-Ruiz,et al.  Theoretical analysis of Lumry-Eyring models in differential scanning calorimetry. , 1992, Biophysical journal.

[37]  Tsunenori Arai,et al.  Electrical superior vena cava isolation using photodynamic therapy in a canine model. , 2016, Europace : European pacing, arrhythmias, and cardiac electrophysiology : journal of the working groups on cardiac pacing, arrhythmias, and cardiac cellular electrophysiology of the European Society of Cardiology.

[38]  I. Tannock,et al.  Influence of cell concentration in limiting the therapeutic benefit of P‐glycoprotein reversal agents , 1999, International journal of cancer.

[39]  Vicente Grau,et al.  Fractional diffusion models of cardiac electrical propagation: role of structural heterogeneity in dispersion of repolarization , 2014, Journal of The Royal Society Interface.