NCKU Math colloquium


DATE2008-06-06 15:10-16:00

PLACE數學館地下室演講廳

SPEAKER羅主斌教授(靜宜大學應用數學系

TITLEHeart Activities---Electrical, Mechanical, and Hemodynamic

ABSTRACT Heart is an important organ to work as a pump to control the blood circulation system. Three viewpoints should be made to understand the global function of heart: electrical excitation, mechanical contraction of myocardial muscle, and blood fluid dynamics.

In this talk, I will mainly focus on the mechanical and electrical parts and the relation to hemodynamics will also be mentioned. Note that heart is a very complex organ with multiscale structure, from microscopic single cell or even molecular ion channel, the mesoscopic tissue, to the macroscopic whole heart.

To explore the rich phenomena of heart, a multiscale model framework will be proposed incorporating both mechanical and electrical effects in the myocardial region and blood pressure on the cavity-myocyte boundary. Such model consists of four components.

The first is the bidomain or monodomain electrical equations with strain/stretch effects (mechanical-electrical coupling) on ionic currents, capacitance, and diffusion term.

The second is for the electrical-mechanical coupling (so-called Excitation-Contraction Coupling, ECC), including equations describing the production of active stress by sarcomere mechanism.

The third is the continuum-mechanics based Newton's motion equation with constitutive strain- stress (passive) relation.

The fourth is for the hemodynamics providing boundary condition to the previous onesFor the simulation issues, some numerical algorithms will be introduced, e.g. finite element, finite volume, mesh-free generalized finite difference, and hybrid methods. .

About the software environment, I will introduce the finite-element based computational software "Comsol Multiphysics" and image processing software "Amira". To build up the patient-specific model for clinical diagnosis, the practical process by above two software will be introduced: image segmentation from individual biomedical image data such as MRI, surface and solid mesh generation, and finite element based computation.

Finally, I will report some research topics in progress, such as the mechanical properties of pulmonary veins sleeves, U wave and Andersen-Tawil syndrome of ECG, and the shifting of SA node leading pacing site.