Neural Circuit Models and Neuropathological Oscillations

Degeneration of cognitive functioning due to dementia is among the most important health problems in the ageing population and society today. Alzheimerʼs disease (AD) is the most common cause of dementia, affecting more than 5 Mio. people in Europe with the global prevalence of AD predicted to quadruple to 106 Mio. by 2050. This chapter is focused on demonstrating models of neural circuitry and brain structures affected during neurodegeneration as a result of AD and how these model can be employed to better understand how changes in the physical basis in the electrochemical interactions at neuron/synapse level are revealed at the neural population level. The models are verified using known and observed neuropathalogical oscillations in AD. The thalamus plays a major role in generating many rhythmic brain oscillations yet, little is known about the role of the thalamus in neurodegeneration and whether or not thalamus atrophy is a primary or secondary phenomenon to hippocampal or neo cortical loss in AD. Neural mass models of thalamocortical networks are presented to investigate the role these networks have in the alterations of brain oscillation observed in AD. Whilst neural mass models offer many insights into thalamocortcial circuitry and rhythm generation in the brain, they are not suitable for elucidating changes synaptic processes and individual synaptic loss at the microscopic scale. There is significant evidence that AD is a synaptic disease. A model consisting of multiple Izhikevich type neurons elucidates now large scale networks of simple neurons can shed light on the relationship between synaptic/neuron degradation/loss and neural network oscillations. Focusing on thalamocortical circuitry may help explain oscillatory changes however the progression of AD is also usually associated with memory deficits, this implicates other brain structure such as the hippocampus. A hippocampal computational model that allows investigation of how the hippocampo-septal theta rhythms can bebe altered by beta-amyloid peptide (Aβ, a main marker of AD) is also described. In summary the chapter presents three different computational models of neural circuitry at different scales/brain regions and demonstrates how these models can be used to elucidate some of the vacuities in our knowledge of brain oscillations and how the symptoms associated with AD are manifested from the electrochemical interactions in neurobiology and neural populations.

[1]  James L. McClelland,et al.  Neural models of memory , 1999, Current Opinion in Neurobiology.

[2]  J. Qiao,et al.  Suppression of large conductance Ca2+-activated K+ channels by amyloid beta-protein fragment 31-35 in membrane patches excised from hippocampal neurons. , 2001, Sheng li xue bao : [Acta physiologica Sinica].

[3]  D M Durand,et al.  Reconstruction of hippocampal CA1 pyramidal cell electrophysiology by computer simulation. , 1994, Journal of neurophysiology.

[4]  Andrew W Varga,et al.  Structure and function of Kv4-family transient potassium channels. , 2004, Physiological reviews.

[5]  X J Wang,et al.  Calcium coding and adaptive temporal computation in cortical pyramidal neurons. , 1998, Journal of neurophysiology.

[6]  G C Muscas,et al.  Correlations of topographical EEG features with clinical severity in mild and moderate dementia of Alzheimer type. , 1997, Neuropsychobiology.

[7]  Damien Coyle,et al.  Simple spiking networks to investigate pathophysiological basis of abnormal cortical oscillations in Alzheimer’s disease , 2011 .

[8]  C. Babiloni,et al.  Conversion from mild cognitive impairment to Alzheimer’s disease is predicted by sources and coherence of brain electroencephalography rhythms , 2006, Neuroscience.

[9]  Young-Min Park,et al.  Decreased EEG synchronization and its correlation with symptom severity in Alzheimer's disease , 2008, Neuroscience Research.

[10]  Mikko Pohja,et al.  On the human sensorimotor-cortex beta rhythm: Sources and modeling , 2005, NeuroImage.

[11]  D. McCormick,et al.  Sleep and arousal: thalamocortical mechanisms. , 1997, Annual review of neuroscience.

[12]  Thomas Dierks,et al.  Topography of the maximum of the amplitude of EEG frequency bands in dementia of the Alzheimer type , 1996, Biological Psychiatry.

[13]  Damien Coyle,et al.  Investigating the Neural Correlates of Pathological Cortical Networks in Alzheimer's Disease Using Heterogeneous Neuronal Models , 2012, IEEE Transactions on Biomedical Engineering.

[14]  Heinrich Lanfermann,et al.  Visual Perceptual Organization Deficits in Alzheimer’s Dementia , 2008, Dementia and Geriatric Cognitive Disorders.

[15]  Andrzej Cichocki,et al.  A comparative study of synchrony measures for the early diagnosis of Alzheimer's disease based on EEG , 2010, NeuroImage.

[16]  P N Prinz,et al.  Dominant occipital (alpha) rhythm frequency in early stage Alzheimer's disease and depression. , 1989, Electroencephalography and clinical neurophysiology.

[17]  P. Carlen,et al.  Activation of large-conductance Ca2+-activated K+ channels depresses basal synaptic transmission in the hippocampal CA1 area in APP (swe/ind) TgCRND8 mice , 2010, Neurobiology of Aging.

[18]  J. Cowan,et al.  Excitatory and inhibitory interactions in localized populations of model neurons. , 1972, Biophysical journal.

[19]  Damien Coyle,et al.  A thalamo-cortico-thalamic neural mass model to study alpha rhythms in Alzheimer's disease , 2011, Neural Networks.

[20]  G. Buzsáki,et al.  Neuronal Oscillations in Cortical Networks , 2004, Science.

[21]  G L GERSTEIN,et al.  An approach to the quantitative analysis of electrophysiological data from single neurons. , 1960, Biophysical journal.

[22]  Matti Laine,et al.  Brain oscillatory responses to an auditory-verbal working memory task in mild cognitive impairment and Alzheimer's disease. , 2006, International journal of psychophysiology : official journal of the International Organization of Psychophysiology.

[23]  B. Amsallem,et al.  Possible role of the nucleus reticularis thalami (nRT) in the control of specific, non-specific thalamic nuclei and cortex activity , 1984, PAIN.

[24]  Damien Coyle,et al.  Assessing retino-geniculo-cortical connectivities in Alzheimer's Disease with a neural mass model , 2011, 2011 IEEE Symposium on Computational Intelligence, Cognitive Algorithms, Mind, and Brain (CCMB).

[25]  L H Kuller,et al.  Age, Alzheimer disease, and brain structure , 2009, Neurology.

[26]  Eugene M. Izhikevich,et al.  Simple model of spiking neurons , 2003, IEEE Trans. Neural Networks.

[27]  Xiao-Jing Wang,et al.  Pacemaker neurons for the theta rhythm and their synchronization in the septohippocampal reciprocal loop. , 2002, Journal of neurophysiology.

[28]  Damien Coyle,et al.  Assessing Alpha Band Event-related Synchronisation/Desynchronisation Using a Bio-Inspired Computational Model , 2012, J. Univers. Comput. Sci..

[29]  Donald O. Walter,et al.  Mass action in the nervous system , 1975 .

[30]  H. Berger Über das Elektrenkephalogramm des Menschen , 1929, Archiv für Psychiatrie und Nervenkrankheiten.

[31]  P Andersen,et al.  Some factors involved in the thalamic control of spontaneous barbiturate spindles , 1967, The Journal of physiology.

[32]  Xiao-Jing Wang Neurophysiological and computational principles of cortical rhythms in cognition. , 2010, Physiological reviews.

[33]  Xiaoliang Wang,et al.  Messenger RNA and protein expression analysis of voltage‐gated potassium channels in the brain of Aβ25–35‐treated rats , 2004, Journal of neuroscience research.

[34]  Ammar Belatreche,et al.  Compensating for synaptic loss in Alzheimer’s disease , 2013, Journal of Computational Neuroscience.

[35]  Keith A. Johnson,et al.  Amyloid-β Associated Cortical Thinning in Clinically Normal Elderly , 2011, Annals of neurology.

[36]  L. Astolfi,et al.  A neural mass model for the simulation of cortical activity estimated from high resolution EEG during cognitive or motor tasks , 2006, Journal of Neuroscience Methods.

[37]  Damien Coyle,et al.  Model-based bifurcation and power spectral analyses of thalamocortical alpha rhythm slowing in Alzheimer's Disease , 2013, Neurocomputing.

[38]  G. Edelman,et al.  Large-scale model of mammalian thalamocortical systems , 2008, Proceedings of the National Academy of Sciences.

[39]  H. Soininen,et al.  Age-related cognitive decline and electroencephalogram slowing in down's syndrome as a model of Alzheimer's disease , 1993, Neuroscience.

[40]  M. Deschenes,et al.  The thalamus as a neuronal oscillator , 1984, Brain Research Reviews.

[41]  Chen-Hsiung Yeh,et al.  Enhancement of Outward Potassium Current May Participate in β-Amyloid Peptide-Induced Cortical Neuronal Death , 1998, Neurobiology of Disease.

[42]  A. Bacci,et al.  The role of glial cells in synaptic function. , 1999, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[43]  Damien Coyle,et al.  A computational modelling approach to investigate alpha rhythm slowing associated with Alzheimer’s Disease , 2010, BICS 2010.

[44]  F. L. D. Silva,et al.  Dynamics of the human alpha rhythm: evidence for non-linearity? , 1999, Clinical Neurophysiology.

[45]  Damien Coyle,et al.  Alpha and theta rhythm abnormality in Alzheimer's Disease: a study using a computational model. , 2011, Advances in experimental medicine and biology.

[46]  Damien Coyle,et al.  Thalamocortical circuitry and alpha rhythm slowing: An empirical study based on a classic computational model , 2010, The 2010 International Joint Conference on Neural Networks (IJCNN).

[47]  A. Cichocki,et al.  Diagnosis of Alzheimer's disease from EEG signals: where are we standing? , 2010 .

[48]  A. Scheibel,et al.  The organization of the nucleus reticularis thalami: a Golgi study. , 1966, Brain research.

[49]  C. Peers,et al.  Amyloid peptides mediate hypoxic increase of L-type Ca2+ channels in central neurones , 2006, Neurobiology of Aging.

[50]  R. Llinás,et al.  The functional states of the thalamus and the associated neuronal interplay. , 1988, Physiological reviews.

[51]  Hojjat Adeli,et al.  Alzheimer's Disease: Models of Computation and Analysis of EEGs , 2005, Clinical EEG and neuroscience.

[52]  J. Jhamandas,et al.  Cellular mechanisms for amyloid beta-protein activation of rat cholinergic basal forebrain neurons. , 2001, Journal of neurophysiology.

[53]  M. Hasselmo What is the function of hippocampal theta rhythm?—Linking behavioral data to phasic properties of field potential and unit recording data , 2005, Hippocampus.

[54]  KongFatt Wong-Lin,et al.  Beta-amyloid induced changes in A-type K+ current can alter hippocampo-septal network dynamics , 2011, Journal of Computational Neuroscience.

[55]  Mauro Ursino,et al.  The generation of rhythms within a cortical region: Analysis of a neural mass model , 2010, NeuroImage.

[56]  R. Nicoll,et al.  Properties of two calcium‐activated hyperpolarizations in rat hippocampal neurones. , 1987, The Journal of physiology.

[57]  CoyleDamien,et al.  2011 Special Issue , 2011 .

[58]  C. J. Stam,et al.  Global dynamical analysis of the EEG in Alzheimer’s disease: Frequency-specific changes of functional interactions , 2008, Clinical Neurophysiology.

[59]  Claudio Babiloni,et al.  Individual analysis of EEG frequency and band power in mild Alzheimer's disease , 2004, Clinical Neurophysiology.

[60]  Mercedes Atienza,et al.  Increased synchronization and decreased neural complexity underlie thalamocortical oscillatory dynamics in mild cognitive impairment , 2009, NeuroImage.

[61]  Nicolas Brunel,et al.  Author's Personal Copy Understanding the Relationships between Spike Rate and Delta/gamma Frequency Bands of Lfps and Eegs Using a Local Cortical Network Model , 2022 .

[62]  L. Abbott,et al.  Theoretical Neuroscience Rising , 2008, Neuron.

[63]  F. H. Lopes da Silva,et al.  Models of neuronal populations: the basic mechanisms of rhythmicity. , 1976, Progress in brain research.

[64]  Antonio R. Damasio,et al.  AFFERENTS OF THE THALAMIC RETICULAR NUCLEUS ARE PATHOLOGICALLY ALTERED IN ALZHEIMERʼS DISEASE: 105 , 1989 .

[65]  Freeman Wj Models of the dynamics of neural populations. , 1978 .

[66]  R. Guillery,et al.  Thalamic Relay Functions and Their Role in Corticocortical Communication Generalizations from the Visual System , 2002, Neuron.

[67]  Nancy Kopell,et al.  Alpha-Frequency Rhythms Desynchronize over Long Cortical Distances: A Modeling Study , 2000, Journal of Computational Neuroscience.

[68]  P. Rossini,et al.  Movement-Related Electroencephalographic Reactivity in Alzheimer Disease , 2000, NeuroImage.

[69]  A STOLLER,et al.  Slowing of the alpha-rhythm of the electroencephalogram and its association with mental deterioration and epilepsy. , 1949, The Journal of mental science.

[70]  Cornelis J Stam,et al.  Resting-State Oscillatory Brain Dynamics in Alzheimer Disease , 2008, Journal of clinical neurophysiology : official publication of the American Electroencephalographic Society.

[71]  H. Soininen,et al.  Slowing of electroencephalogram and choline acetyltransferase activity in post mortem frontal cortex in definite Alzheimer's disease , 1992, Neuroscience.

[72]  R. Guillery Branching thalamic afferents link action and perception. , 2003, Journal of neurophysiology.

[73]  Damien Coyle,et al.  Employing neuronal networks to investigate the pathophysiological basis of abnormal cortical oscillations in Alzheimer's disease , 2011, 2011 Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[74]  Z. Qi,et al.  Regulatory effect of sulphatides on BKCa channels , 2006, British journal of pharmacology.

[75]  S. Murray Sherman,et al.  A wake-up call from the thalamus , 2001, Nature Neuroscience.

[76]  W. Waugh,et al.  A Call to Reduce the Incidence of Alzheimer's Disease , 2010 .

[77]  György Buzsáki,et al.  Alteration of Theta Timescale Dynamics of Hippocampal Place Cells by a Cannabinoid Is Associated with Memory Impairment , 2009, The Journal of Neuroscience.

[78]  Ben H. Jansen,et al.  Electroencephalogram and visual evoked potential generation in a mathematical model of coupled cortical columns , 1995, Biological Cybernetics.

[79]  F. Crick Function of the thalamic reticular complex: the searchlight hypothesis. , 1984, Proceedings of the National Academy of Sciences of the United States of America.

[80]  P Andersen,et al.  Nature of thalamo‐cortical relations during spontaneous barbiturate spindle activity , 1967, The Journal of physiology.

[81]  G. Buzsáki Rhythms of the brain , 2006 .

[82]  Damien Coyle,et al.  Kinetic Modelling of Synaptic Functions in the Alpha Rhythm Neural Mass Model , 2012, ICANN.

[83]  R. Llinás,et al.  Electrophysiological properties of guinea‐pig thalamic neurones: an in vitro study. , 1984, The Journal of physiology.

[84]  P. Érdi,et al.  Modulation of septo-hippocampal θ activity by GABAA receptors: an experimental and computational approach 1 1 Supplementary data associated with this article can be found at doi:10.1016/j.neuroscience.2004.03.043. , 2004, Neuroscience.

[85]  Amir Hussain,et al.  From Brains to Systems: Brain-Inspired Cognitive Systems 2010 , 2011 .

[86]  F H da Silva,et al.  Essential differences between alpha rhythms and barbiturate spindles: spectra and thalamo-cortical coherences. , 1973, Electroencephalography and clinical neurophysiology.

[87]  Matti Laine,et al.  The effects of memory load on event-related EEG desynchronization and synchronization , 2000, Clinical Neurophysiology.

[88]  J. Cowan,et al.  A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue , 1973, Kybernetik.

[89]  E. Benarroch,et al.  Neuron-astrocyte interactions: partnership for normal function and disease in the central nervous system. , 2005, Mayo Clinic proceedings.

[90]  KongFatt Wong-Lin,et al.  Computational Study of Hippocampal-Septal Theta Rhythm Changes Due to Beta-Amyloid-Altered Ionic Channels , 2011, PloS one.

[91]  Eugene M. Izhikevich,et al.  Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting , 2006 .

[92]  Bruno Vellas,et al.  Disease modifying trials in Alzheimer's disease: perspectives for the future. , 2008, Journal of Alzheimer's disease : JAD.

[93]  P. Robinson,et al.  Prediction of electroencephalographic spectra from neurophysiology. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[94]  Chris Peers,et al.  Amyloid β peptide as a physiological modulator of neuronal ‘A’-type K+ current , 2006, Neurobiology of Aging.

[95]  T. Good,et al.  Beta-amyloid peptide blocks the fast-inactivating K+ current in rat hippocampal neurons. , 1996, Biophysical journal.

[96]  F. L. D. Silva,et al.  Basic mechanisms of cerebral rhythmic activities , 1990 .

[97]  Chu Chen,et al.  β-Amyloid increases dendritic Ca2+ influx by inhibiting the A-type K+ current in hippocampal CA1 pyramidal neurons , 2005 .

[98]  Nariyoshi Yamaguchi,et al.  Electroencephalographic abnormalities in patients with presenile dementia of the Alzheimer type: Quantitative analysis at rest and during photic stimulation , 1997, Biological Psychiatry.

[99]  E K Perry,et al.  Nerve cell loss in the thalamus in Alzheimer's disease and Parkinson's disease. , 1991, Brain : a journal of neurology.

[100]  William J. Tippett,et al.  Visuomotor integration is impaired in early stage Alzheimer's disease , 2006, Brain Research.

[101]  Jaeseung Jeong EEG dynamics in patients with Alzheimer's disease , 2004, Clinical Neurophysiology.

[102]  R. Llinás,et al.  Ionic basis for the electro‐responsiveness and oscillatory properties of guinea‐pig thalamic neurones in vitro. , 1984, The Journal of physiology.

[103]  M. Albert,et al.  Introduction to the recommendations from the National Institute on Aging-Alzheimer's Association workgroups on diagnostic guidelines for Alzheimer's disease , 2011, Alzheimer's & Dementia.

[104]  S. Hoffman,et al.  Funding for malaria genome sequencing , 1997, Nature.

[105]  Thomas M. Morse,et al.  Abnormal Excitability of Oblique Dendrites Implicated in Early Alzheimer's: A Computational Study , 2009, Frontiers in neural circuits.

[106]  L. Ye,et al.  Amyloid β‐protein fragment 31–35 suppresses delayed rectifying potassium channels in membrane patches excised from hippocampal neurons in rats , 2004 .

[107]  Damien Coyle,et al.  Compensating for thalamocortical synaptic loss in Alzheimer's disease , 2014, Front. Comput. Neurosci..

[108]  Nelson J. Trujillo-Barreto,et al.  Realistically Coupled Neural Mass Models Can Generate EEG Rhythms , 2007, Neural Computation.

[109]  D. Small,et al.  Astrocytes in Alzheimer's disease: emerging roles in calcium dysregulation and synaptic plasticity. , 2010, Journal of Alzheimer's disease : JAD.

[110]  J F Storm,et al.  The role of BK‐type Ca2+‐dependent K+ channels in spike broadening during repetitive firing in rat hippocampal pyramidal cells , 1999, The Journal of physiology.

[111]  F. D. Silva Neural mechanisms underlying brain waves: from neural membranes to networks. , 1991 .

[112]  Ben H. Jansen,et al.  A neurophysiologically-based mathematical model of flash visual evoked potentials , 2004, Biological Cybernetics.

[113]  Erol Başar,et al.  Brain-Body-Mind in the Nebulous Cartesian System: A Holistic Approach by Oscillations , 2010 .

[114]  I. Veer,et al.  Strongly reduced volumes of putamen and thalamus in Alzheimer's disease: an MRI study , 2008, Brain : a journal of neurology.

[115]  E. John,et al.  Decreased EEG synchronization in Alzheimer’s disease and mild cognitive impairment , 2005, Neurobiology of Aging.

[116]  F. H. Lopes da Silva,et al.  Model of brain rhythmic activity , 1974, Kybernetik.

[117]  E. Vizi Role of high-affinity receptors and membrane transporters in nonsynaptic communication and drug action in the central nervous system. , 2000, Pharmacological reviews.

[118]  Maria V. Sanchez-Vives,et al.  Functional dynamics of GABAergic inhibition in the thalamus. , 1997, Science.

[119]  S. Sherman,et al.  Relative distribution of synapses in the A‐laminae of the lateral geniculate nucleus of the cat , 2000, The Journal of comparative neurology.

[120]  R. Guillery,et al.  Exploring the Thalamus and Its Role in Cortical Function , 2005 .

[121]  L. Annunziato,et al.  Up-Regulation and Increased Activity of KV3.4 Channels and Their Accessory Subunit MinK-Related Peptide 2 Induced by Amyloid Peptide Are Involved in Apoptotic Neuronal Death , 2007, Molecular Pharmacology.

[122]  John R. Terry,et al.  Derivation and analysis of an ordinary differential equation mean-field model for studying clinically recorded epilepsy dynamics. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[123]  G. Buzsáki Theta Oscillations in the Hippocampus , 2002, Neuron.

[124]  H. Braak,et al.  Neuropathological stageing of Alzheimer-related changes , 2004, Acta Neuropathologica.

[125]  Péter Érdi,et al.  Computational theories on the function of theta oscillations , 2005, Biological Cybernetics.

[126]  E. Basar,et al.  Alpha oscillations in brain functioning: an integrative theory. , 1997, International journal of psychophysiology : official journal of the International Organization of Psychophysiology.

[127]  E. I. Rogaev,et al.  EEG alterations in non-demented individuals related to apolipoprotein E genotype and to risk of Alzheimer disease , 2008, Neurobiology of Aging.

[128]  Tim Gollisch,et al.  Modeling Single-Neuron Dynamics and Computations: A Balance of Detail and Abstraction , 2006, Science.

[129]  Hojjat Adeli,et al.  Alzheimer's disease and models of computation: imaging, classification, and neural models. , 2005, Journal of Alzheimer's disease : JAD.

[130]  Damien Coyle,et al.  Gray matter concentration and effective connectivity changes in Alzheimer’s disease: a longitudinal structural MRI study , 2011, Neuroradiology.

[131]  Naoyuki Sato,et al.  Synchronization of neural oscillations as a possible mechanism underlying episodic memory: a study of theta rhythm in the hippocampus. , 2004, Journal of integrative neuroscience.

[132]  P. Aisen Alzheimer's disease therapeutic research: the path forward , 2009, Alzheimers Res Ther.

[133]  D. Johnston,et al.  K+ channel regulation of signal propagation in dendrites of hippocampal pyramidal neurons , 1997, Nature.