心臓・血管のモデル化とシミュレーション(<小特集>生体力学シミュレーション)

概要

論文の詳細を見る
Mathematical modeling and numerical simulation of the mechanical behavior of the heart and blood vessels are reviewed. The modeling of a living organ consists of geometrical modeling, modeling of internal (microscopic) structure, modeling of mechanical behavior of the organ or its tissues, i.e., formulation of constitutive equations, determination of the material constants, and modeling of boundary conditions. In this paper constitutive equations in the literature are mainly explained. Because the heart and blood vessels have passive and active properties, mathematical models are proposed to describe each property. A strain energy density function (hyperelastic model) is commonly used as a former model by neglecting inelastic or viscoelastic properties. As a latter model, a relationship between the isometric maximal active stress and strain and an equation to describe the change of active level have been proposed. Physiological phenomena and various diseases are investigated form the mechanical viewpoint by solving a boundary-value problem with a proposed model. In the future, more contribution to diagnosis and medical treatment are expected with an advanced model and analysis utilizing a medical image and a computer system.
日本シミュレーション学会の論文
1999-12-15