A complete framework for personalised modeling and control of children's cerebral palsy

Sabrina Otmani, G. Michon, B. Watier
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Abstract

Two 9 years old twin sisters, one with spastic cerebral palsy (C) and the other healthy (H) without any impairments, performed the pendulum drop test with EMG acquisitions. The purpose of this paper is to present a way to model the knee's spastic angular displacement of C and H using mechanical differential equations. Then, we propose a controller to correct the knee's angular displacement of C. and make it converge towards the one of H. To this end, we use a PID controller to correct the angular position. Both models of the spasticity and the controller were computed using a genetic algorithm (GA). Angular trajectories were modeled with a determination coefficient ($R^{2}$) higher than 95% for both spastic and non-spastic cases, and $R^{2}$ > 87% for the corrected angular position of C.
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儿童脑瘫个性化建模与控制的完整框架
两名9岁的双胞胎姐妹,一名患有痉挛性脑瘫(C),另一名健康(H),没有任何损伤,用肌电图采集进行了钟摆跌落试验。本文的目的是提出一种用力学微分方程来模拟膝关节C和H的痉挛角位移的方法。然后,我们提出了一个控制器来校正膝关节c的角位移,使其收敛于h的角位移。为此,我们使用PID控制器来校正角度位置。采用遗传算法(GA)计算了痉挛模型和控制器。对于痉挛和非痉挛情况,角轨迹建模的决定系数($R^{2}$)都大于95%,对于C的校正角位置,$R^{2}$ > 87%。
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