6533b833fe1ef96bd129c2ff

RESEARCH PRODUCT

A theoretical approach of the propagation through geometrical constraints in cardiac tissue

Jean-marie BilbaultSabir JacquirPierre AthiasStéphane Binczak

subject

Quantitative Biology::Tissues and Organs[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS][PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph][ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS]Physics::Medical PhysicsBlockade phenomenon[MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS]Geometry030204 cardiovascular system & hematologyImpulse (physics)Circular stationary waveStanding waveCardiac tissue.03 medical and health sciences0302 clinical medicinePlanar[SDV.MHEP.CSC]Life Sciences [q-bio]/Human health and pathology/Cardiology and cardiovascular system[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]FitzHugh–Nagumo model[MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph]Engineering (miscellaneous)Cardiac tissue030304 developmental biologyWavefrontPhysicsTravelling wavefront0303 health sciencesApplied Mathematics[ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]Mechanics[ SDV.MHEP.CSC ] Life Sciences [q-bio]/Human health and pathology/Cardiology and cardiovascular system[PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph][SDV.MHEP.CSC] Life Sciences [q-bio]/Human health and pathology/Cardiology and cardiovascular systemModeling and Simulation[ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph]

description

International audience; The behaviour of impulse propagation in the presence of non-excitable scars and boundaries is a complex phenomenon and induces pathological consequences in cardiac tissue. In this article, a geometrical con¯guration is considered so that cardiac waves propagate through a thin strand, which is connected to a large mass of cells. At this interface, waves can slow down or even be blocked depending on the width of the strand. We present an analytical approach leading to determine the blockade condition, by introducing planar travelling wavefront and circular stationary wave. Eventually, the in°uence of the tissue geometry is examined on the impulse propagation velocity.

https://hal-univ-bourgogne.archives-ouvertes.fr/hal-00584227