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伊兹海克维奇神经元模型中死亡信号与脑外心智出现的数学模型。

A Mathematical Model for the Signal of Death and Emergence of Mind Out of Brain in Izhikevich Neuron Model.

作者信息

Fioranelli Massimo, Sepehri Alireza, Roccia Maria Grazia, Rossi Chiara, Lotti Jacopo, Barygina Victoria, Vojvodic Petar, Vojvodic Aleksandra, Vlaskovic-Jovicevic Tatjana, Vojvodic Jovana, Dimitrijevic Sanja, Peric-Hajzler Zorica, Matovic Dusica, Sijan Goran, Wollina Uwe, Tirant Michael, Thuong Nguyen Van, Lotti Torello

机构信息

Department of Nuclear Physics, Sub-nuclear and Radiation, G. Marconi University, Rome, Italy.

Department of Biomedical Experimental and Clinical Sciences, University of Florence, Florence, Italy.

出版信息

Open Access Maced J Med Sci. 2019 Sep 11;7(18):3121-3126. doi: 10.3889/oamjms.2019.774. eCollection 2019 Sep 30.

DOI:10.3889/oamjms.2019.774
PMID:31850137
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6910805/
Abstract

AIM

In this paper, using a mathematical model, we will show that for special exchanged photons, the Hamiltonian of a collection of neurons tends to a constant number and all activities is stopped. These photons could be called as the dead photons. To this aim, we use concepts of Bio-BIon in Izhikevich Neuron model.

METHODS

In a neuron, there is a page of Dendrite, a page of axon's terminals and a tube of Schwann cells, axon and Myelin Sheath that connects them. These two pages and tube form a Bio-Bion. In a Bio-Bion, exchanging photons and some charged particles between terminals of dendrite and terminals of axon leads to the oscillation of neurons and transferring information. This Bion produces the Hamiltonian, wave equation and action potential of Izhikevich Neuron model. Also, this Bion determines the type of dependency of parameters of Izhikevich model on temperature and frequency and obtains the exact shape of membrane capacitance, resting membrane potential and instantaneous threshold potential.

RESULTS

Under some conditions, waves of neurons in this BIon join to each other and potential shrinks to a delta function. Consequently, total Hamiltonian of the system tends to a constant number and system of neuron act like a dead system. Finally, this model indicates that all neurons have the ability to produce similar waves and signals like waves of the mind.

CONCLUSION

Generalizing this to biology, we can claim that neurons out of the brain can produce signals of minding and imaging and thus mind isn't confined to the brain.

摘要

目的

在本文中,我们将使用数学模型表明,对于特殊的交换光子,神经元集合的哈密顿量趋于一个常数,且所有活动停止。这些光子可被称为死光子。为此,我们在艾克米维奇神经元模型中使用生物离子的概念。

方法

在一个神经元中,有一页树突、一页轴突末端以及连接它们的施万细胞、轴突和髓鞘管。这两页和管道构成一个生物离子。在一个生物离子中,树突末端和轴突末端之间交换光子和一些带电粒子会导致神经元振荡并传递信息。这个生物离子产生了艾克米维奇神经元模型的哈密顿量、波动方程和动作电位。此外,这个生物离子确定了艾克米维奇模型参数对温度和频率的依赖类型,并得到了膜电容、静息膜电位和瞬时阈电位的精确形状。

结果

在某些条件下,这个生物离子中的神经元波相互连接,电位收缩为一个狄拉克函数。因此,系统的总哈密顿量趋于一个常数,神经元系统表现得像一个死系统。最后,该模型表明所有神经元都有能力产生类似思维波的波和信号。

结论

将此推广到生物学领域,我们可以声称大脑之外的神经元能够产生思维和成像信号,因此思维并不局限于大脑。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7e9b/6910805/5ff30d0590f7/OAMJMS-7-3121-g016.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7e9b/6910805/a4c7ee193429/OAMJMS-7-3121-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7e9b/6910805/5ff30d0590f7/OAMJMS-7-3121-g016.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7e9b/6910805/a4c7ee193429/OAMJMS-7-3121-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7e9b/6910805/5ff30d0590f7/OAMJMS-7-3121-g016.jpg

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