Świetlik Dariusz, Białowąs Jacek, Moryś Janusz, Kusiak Aida
Intrafaculty College of Medical Informatics and Biostatistics, Medical University of Gdańsk, 1 Debinki St., 80-211 Gdańsk, Poland.
Department of Anatomy and Neurobiology, Medical University of Gdańsk, 1 Debinki St., 80-211 Gdańsk, Poland.
Entropy (Basel). 2019 Apr 17;21(4):408. doi: 10.3390/e21040408.
The aim of the study was to compare the computer model of synaptic breakdown in an Alzheimer's disease-like pathology in the dentate gyrus (DG), CA3 and CA1 regions of the hippocampus with a control model using neuronal parameters and methods describing the complexity of the system, such as the correlative dimension, Shannon entropy and positive maximal Lyapunov exponent. The model of synaptic breakdown (from 13% to 50%) in the hippocampus modeling the dynamics of an Alzheimer's disease-like pathology was simulated. Modeling consisted in turning off one after the other EC2 connections and connections from the dentate gyrus on the CA3 pyramidal neurons. The pathological model of synaptic disintegration was compared to a control. The larger synaptic breakdown was associated with a statistically significant decrease in the number of spikes (R = -0.79, < 0.001), spikes per burst (R = -0.76, < 0.001) and burst duration (R = -0.83, < 0.001) and an increase in the inter-burst interval (R = 0.85, < 0.001) in DG-CA3-CA1. The positive maximal Lyapunov exponent in the control model was negative, but in the pathological model had a positive value of DG-CA3-CA1. A statistically significant decrease of Shannon entropy with the direction of information flow DG->CA3->CA1 (R = -0.79, < 0.001) in the pathological model and a statistically significant increase with greater synaptic breakdown (R = 0.24, < 0.05) of the CA3-CA1 region was obtained. The reduction of entropy transfer for DG->CA3 at the level of synaptic breakdown of 35% was 35%, compared with the control. Entropy transfer for CA3->CA1 at the level of synaptic breakdown of 35% increased to 95% relative to the control. The synaptic breakdown model in an Alzheimer's disease-like pathology in DG-CA3-CA1 exhibits chaotic features as opposed to the control. Synaptic breakdown in which an increase of Shannon entropy is observed indicates an irreversible process of Alzheimer's disease. The increase in synapse loss resulted in decreased information flow and entropy transfer in DG->CA3, and at the same time a strong increase in CA3->CA1.
本研究的目的是使用描述系统复杂性的神经元参数和方法,如关联维数、香农熵和正最大李雅普诺夫指数,将海马齿状回(DG)、CA3和CA1区域中类似阿尔茨海默病病理的突触破坏计算机模型与对照模型进行比较。模拟了模拟类似阿尔茨海默病病理动态的海马体中突触破坏(从13%到50%)的模型。建模过程包括依次关闭EC2连接以及齿状回与CA3锥体神经元之间的连接。将突触解体的病理模型与对照进行比较。更大程度的突触破坏与DG-CA3-CA1中尖峰数量(R = -0.79,< 0.001)、每次爆发的尖峰数(R = -0.76,< 0.001)和爆发持续时间(R = -0.83,< 0.001)的统计学显著降低以及爆发间隔(R = 0.85,< 0.001)的增加相关。对照模型中的正最大李雅普诺夫指数为负,但在病理模型中DG-CA3-CA1具有正值。在病理模型中,随着信息流方向DG->CA3->CA1,香农熵有统计学显著降低(R = -0.79,< 0.001),并且随着CA3-CA1区域更大程度的突触破坏(R = 0.24,< 0.05),香农熵有统计学显著增加。与对照相比,在35%的突触破坏水平下,DG->CA3的熵传递减少了35%。在35%的突触破坏水平下,CA3->CA1的熵传递相对于对照增加到95%。与对照相反,DG-CA3-CA1中类似阿尔茨海默病病理的突触破坏模型表现出混沌特征。观察到香农熵增加的突触破坏表明阿尔茨海默病的不可逆过程。突触损失的增加导致DG->CA3中的信息流和熵传递减少,同时CA3->CA1有强烈增加。