Japanese
Title動脈循環における最適性の解析
Subtitle原著
Authors平山博史*, 安田寿一*, 小野功一**
Authors(kana)
Organization*北海道大学医学部循環器内科, **室蘭工業大学情報工学
Journal循環制御
Volume11
Number4
Page509-516
Year/Month1990/
Article原著
Publisher日本循環制御医学会
Abstract「要旨」動脈自体に内在する循環動態の最適性の実在とその条件を解析するため数学的分布定数回路モデルを用いて理論的研究を行なった. このような十分条件性を立証するためには, 動物実験では不可能であるからである. 動脈循環をNavier-Stokesの流体力学的方程式と動脈壁の構造力学的運動方程式で記述し, 線型周期解を仮定して上記方程式群を解いた. 最適性の指標として最大血流量, 複素型-正規化-インピーダンス, 反射係数を用いた. 血管壁弾性, 血管内径, 動脈終末端抵抗を種々に変化させるとある特定の組み合わせでこれらの指標が最大, 最小になる極値が存在し, 少なくとも1つの最適にする条件が存在することを立証した.
Practice基礎医学・関連科学
Keywordsoptimality, arterial circulation, distributed parameter model, impedance, reflection coefficient
English
TitleAnalysis of the optimal arterial circulation
Subtitle
AuthorsHIrayama, H*., Yasuda, H*., Ono., K**
Authors(kana)
Organization*Department of cardiovascular medicine Hokkaido univ., **Institute of technology Muroran
JournalCirculation Control
Volume11
Number4
Page509-516
Year/Month1990/
ArticleOriginal article
PublisherJapan Society of Circulation Control
AbstractAn analysis was focused on the discovery of the optimal condiitons to mooimize the arterial iMpedance, reflection coefficient and maximize the flow rate. Practicaily it is impossible to verfy duch optimal state by the experiments, a mathematical distributed mode (theoretical) was used to analysis. A linearlyzed Navier Stokes equation and the wall dynamical equation were solved by assuming the linear cyluc solutions. The parameters involved in the present study were all physiologically data. By a given specific combination of the conditions between the artreial wall elasticity, internal radius of the artrey and the terminal resistance of the artreial tube, there was at least one extreme for the impedance, reflection coefficient and maximum flow rate. Consequently we conclude there was an optimal condition in the arterial system to make the blood flow suitable for each independent state of the arterial circulation.
PracticeBasic medicine
Keywordsoptimality, arterial circulation, distributed parameter model, impedance, reflection coefficient

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