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Explaining Dopamine Deficiency of Spiking Neurons Based on Quantum Superposition Theory | Daneshzand | NeuroQuantology


DOI: 10.14704/nq.2015.13.2.853

Explaining Dopamine Deficiency of Spiking Neurons Based on Quantum Superposition Theory

Mohammad Daneshzand, Jasem Almotiri, Rania Baashirah, Khaled Elleithy

Abstract


In all mammalian brain billions of neurons exist and these neurons are working together through synapses and spike responses. Through numerous models presented to describe neuronal response and how the membrane potential would vary due to different tasks, still a big question stand still in the field of neuroscience. Why a neuron can produce different types of spikes under same conditions? Here we build up a new model of spiking neuron based on Izhikevich model which can generate all possible neuronal spikes and we try to answer this question by putting the concept of quantum superposition into account. We showed that unknown and random behavior of neuronal spikes through time can be described by this quantum fact that a neuron can be in many states at a same time, therefore any spike patterns or combination of spike patterns is of interest. Based on neuronal spikes patterns, sometimes we observed an unknown pattern can be explained by this phenomena that a neuron can exist partially in a physical state but when it’s response to an stimuli is recorded the result would be only one of the possible states or a linear combination of some states.

Keywords


Membrane Potential; spiking neuron; stimuli; Subthalamic Nucleus Neurons; Quantum Superposition

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References


Accardi A, Khrennikov A and Ohya M. Quantum Markov model for data from Shafir–Tversky experiments in cognitive psychology. Open Systems and Information Dynamics 2009; 16:371–385.

Alivisatos A P. The brain activity map project and the challenge of functional connectomics. Neuron 2012; 74 (6): 970-974.

Asano M, Khrennikov A and Ohya M. Quantum-like model for decision making process in two players game. Foundations of Physics 2011; 41: 538–548.

Asano M. Quantum-like model of brain's functioning: Decision making from decoherence. Journal of theoretical biology 2011; 281 (1): 56-64.

Beurrier C, Congar P, Bioulac B and Hammond C. Subthalamic nucleus neurons switch from single-spike activity to burst-firing mode. The Journal of neuroscience 1999; 19 (2): 599-609.

Bordonaro M and Ogryzko V. Quantum biology at the cellular level: Elements of the research program. BioSystems 2013; 112: 11–30.

Castellanos F X and Proal E. Large-scale brain systems in ADHD: beyond the prefrontal–striatal model. Trends in cognitive sciences 2012; 16 (1): 17-26.

Connors B W and Gutnick M J. Intrinsic firing patterns of diverse neocortical neurons. Trends in Neurosci 1990; 13: 99–104.

Costas B G, Anastassiou A and Koch C. The origin of extracellular fields and currents—EEG, ECoG, LFP and spikes. Nature Reviews Neuroscience 2012;13 (6): 407-420.

Ermentrout G B and Kopell N .Parabolic bursting in an excitable system coupled with a slow oscillation. SIAM J. Appl. Math 1986;46: 233–253.

Gillian C. Neonatal intensive care unit stress is associated with brain development in preterm infants. Annals of neurology 2011; 70 (4): 541-549.

Hameroff S and Penrose R. Orchestrated reduction of quantum coherence in brain microtubules: A model for consciousness. Mathematics and computers in simulation 1996; 40 (3): 453-480.

Hameroff S. Quantum computing in brain microtubules? The Penrose–Hameroff Orch Or model of consciousness. Philosophical Transactions of the Royal Society of London Series A 1998; 356: 1869–1896.

Hindmarsh J L and Rose R M. A model of neuronal bursting using three coupled first order differential equations. Proceedings of the Royal society of London. Series B. Biological sciences 1984; 87-102.

Hindmarsh J L and Rose R M. The assembly of ionic currents in a thalamic neuron. I The three-dimensional model. Proc. R. Soc. Lond. B 1989; 237: 267–288.

Hramov A E. Classification of Neuronal Spikes from Extracellular Recordings. Wavelets in Neuroscience 2015; Springer Berlin Heidelberg: 121-176.

Izhikevich E M. Simple model of spiking neurons. IEEE Trans. Neural Networks 2003; 14: 1569–1572.

Izhikevich,E M. Which model to use for cortical spiking neurons?. IEEE transactions on neural networks 2004; 15 (5): 1063-1070.

Kaiser N K. Electrically compensated Fourier transform ion cyclotron resonance cell for complex mixture mass analysis. Analytical chemistry 2011; 83 (17): 6907-6910.

Khrennikov A. Entanglement’s dynamics from classical stochastic process. Europhysics Letters 88, 2009.

Khrennikov A. Quantum-like brain: interference of minds. BioSystems 2006; 84: 225–241.

Latham P E, Richmond B J, Nelson P G and Nirenberg S. Intrinsic dynamics in neuronal networks. I. Theory. J. Neurophysiol 2000; 83: 808–827.

Lytton W. W. Hodgkin-Huxley Model. From Computer to Brain: Foundations of Computational Neuroscience 2002; 213-238.

Markram H. The blue brain project. Nature Reviews Neuroscience 2006; 7 (2): 153-160.

Melkikh A V. Biological complexity, quantum coherent states and the problem of efficient transmission of information inside a cell. BioSystems 2013; 111 (3): 190–198.

Müller-Kirsten H. Introduction to quantum mechanics. World Scientific 2012.

Neves A, Costalat R and Pellerin L. Determinants of brain cell metabolic phenotypes and energy substrate utilization unraveled with a modeling approach. PLoS computational biology 2012; 8(9).

Pratte M S. Decoding patterns of human brain activity. Annual review of psychology 2012; 63: 483-509.

Pribram K H. Rethinking neural networks: Quantum fields and biological data. Psychology Press 2014.

Romero-Isart O. Quantum superposition of massive objects and collapse models. Physical Review A 2011; 84 (5).

Romero-Isart O. Toward quantum superposition of living organisms. New Journal of Physics 2010; 12 (3).

Rulkov N F. Modeling of spiking-bursting neural behavior using two-dimensional map. Physical Review E 2002; 65 (4).

Wilson H R. Simplified dynamics of human and mammalian neocortical neurons. J. Theor. Biol 1999; 200: 375–388.

Zhao X, Kim J W, Robinson P A and Rennie C J. Low dimensional model of bursting neurons. J. Comput. Neurosci 2014; 36 (1): 81- 88


Supporting Agencies

The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.

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