전달함수를 이용한 대동맥 맥파 추정 및 증강점 검출 알고리즘 개선에 관한 연구

Estimation of the Central Aortic Pulse using Transfer Function and Improvement of an Augmentation Point Detection Algorithm

  • 임재중 (전북대학교 전자정보공학부)
  • Im, Jae-Joong (Chonbuk National University, Electronics & Information Eng.)
  • 발행 : 2008.05.25

초록

대동맥 증강지수는 심실의 부하뿐만 아니라 대동맥의 탄력성을 직접적으로 나타낼 수 있는 장점 때문에 동맥의 경직도를 평가하는 지표로 주목받고 있다. 하지만, 정확한 대동맥 증강지수를 계산하기 위해서는 직접 카테터를 피험자에 삽입하여 측정해야 하기 때문에 임상에 적용하기에는 한계가 존재한다. 이러한 문제점 때문에 전달함수를 이용하여 요골 동맥 맥파로부터 대동맥 맥파를 간접적으로 추정하는 방법이 이용되고 있다. 본 논문에서는 전달함수를 구하기 위하여 Millar 카테터를 이용한대동맥 맥파와 토노메트릭 방식의 압력센서를 이용하여 요골동맥 맥파를 측정하였다. 또한, 기존의 증강점 검출 알고리즘 대신단계적으로 미분 차수를 증가시키면서 증강점을 검출하는 새로운 알고리즘을 제안하였다. 10차 ARX 모델을 이용하여 전달함수를 구현하였으며, 잔차 분석을 통하여 모델을 검증하였다. 증강점 검출 알고리즘 검증을 위하여 네 가지 종류의 합성파를 만들어 제안된 알고리즘이 기존 알고리즘 보다 더 정확한 결과를 나타내는 것을 확인할 수 있었다. 본 연구는 쉽게 측정할 수 있는 요골동맥 맥파를 이용하여 대동맥의 경직도를 평가할 수 있는 방법을 제시하였으며 이를 통하여 다양한 심혈관 질환의 조기 진단에 기여할 수 있을 것이다.

Aortic AIx(augmentation index) has been used to measure aortic stiffness quantitatively and even to evaluate ventricular load. However, in order to calculate aortic AIx catheters should be inserted to the subjects' artery, which hampers its clinical usage. To overcome such limitation, aortic AIx has been indirectly calculated by estimating aortic pressure wave from the peripheral arterial pulse by applying transfer functions. In this study, central aortic pressure waves using Millar catheter and radial artery pulse waves using tonometry pressure sensor were measured to establish transfer functions for an estimation of central aortic pressure waves from radial artery pulse waves. Also, an algorithm which detects augmentation point for the calculation of AIx were developed. Developed algorithm for the detection of augmentation point gradually increases the differential order to detect inflection point rather than detects the distinctive point that appears after a specific time. Transfer functions were established using 10th order ARX model and were verified for the stability of the transfer function through residual analysis. Evaluation of an algorithm for the detection of augmentation point were performed by comparing the augmentation points obtained from developed algorithm with the known augmentation points synthesized in various conditions. In addition, developed algorithm for the AIx is proved to provide more accurate results than the ones developed by previous studies. The significance of the study was in two folds. Firstly, the results could provide the basis for the measurement of aortic stiffness using easily-measurable radial artery pulse waves, and secondly, extension of the study may enable the early diagnosis of various vascular diseases.

키워드

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