Functional Sciences Department, Physiology Discipline, Victor Babes University of Medicine and Pharmacy of Timisoara, 2 Eftimie Murgu Sq., Timisoara 300041, Romania.
Biochemistry and Pharmacology Department, Biochemistry Discipline, Victor Babes University of Medicine and Pharmacy of Timisoara, 2 Eftimie Murgu Sq., Timisoara 300041, Romania.
Comput Math Methods Med. 2021 Apr 21;2021:6676681. doi: 10.1155/2021/6676681. eCollection 2021.
Understanding the connection between different stimuli and the brain response represents a complex research area. However, the use of mathematical models for this purpose is relatively unexplored. The present study investigates the effects of three different auditory stimuli on cerebral biopotentials by means of mathematical functions. The effects of acoustic stimuli (S1, S2, and S3) on cerebral activity were evaluated by electroencephalographic (EEG) recording on 21 subjects for 20 minutes of stimulation, with a 5-minute period of silence before and after stimulation. For the construction of the mathematical models used for the study of the EEG rhythms, we used the Box-Jenkins methodology. Characteristic mathematical models were obtained for the main frequency bands and were expressed by 2 constant functions, 8 first-degree functions, a second-degree function, a fourth-degree function, 6 recursive functions, and 4 periodic functions. The values obtained for the variance estimator are low, demonstrating that the obtained models are correct. The resulting mathematical models allow us to objectively compare the EEG response to the three stimuli, both between the stimuli itself and between each stimulus and the period before stimulation.
理解不同刺激与大脑反应之间的关系是一个复杂的研究领域。然而，目前对于这一目的，数学模型的使用还相对较少被探索。本研究通过数学函数来调查三种不同听觉刺激对脑生物电位的影响。通过对 21 名受试者进行 20 分钟的刺激，在刺激前后各进行 5 分钟的安静期，利用脑电图（EEG）记录评估声刺激（S1、S2 和 S3）对脑活动的影响。为了构建用于研究 EEG 节律的数学模型，我们使用了 Box-Jenkins 方法。对于主要频带，我们获得了特征数学模型，并用 2 个常数函数、8 个一次函数、1 个二次函数、1 个四次函数、6 个递归函数和 4 个周期函数表示。所得到的方差估计值较低，表明所得到的模型是正确的。所得到的数学模型允许我们客观地比较三种刺激的 EEG 反应，包括刺激本身之间以及每个刺激与刺激前期间的反应。
