A memristive plasticity model of voltage-based STDP suitable for recurrent bidirectional neural networks in the hippocampus

Memristive systems have gained considerable attention in the field of neuromorphic engineering, because they allow the emulation of synaptic functionality in solid state nano-physical systems. In this study, we show that memristive behavior provides a broad working framework for the phenomenological modelling of cellular synaptic mechanisms. In particular, we seek to understand how close a memristive system can account for the biological realism. The basic characteristics of memristive systems, i.e. voltage and memory behavior, are used to derive a voltage-based plasticity rule. We show that this model is suitable to account for a variety of electrophysiology plasticity data. Furthermore, we incorporate the plasticity model into an all-to-all connecting network scheme. Motivated by the auto-associative CA3 network of the hippocampus, we show that the implemented network allows the discrimination and processing of mnemonic pattern information, i.e. the formation of functional bidirectional connections resulting in the formation of local receptive fields. Since the presented plasticity model can be applied to real memristive devices as well, the presented theoretical framework can support both, the design of appropriate memristive devices for neuromorphic computing and the development of complex neuromorphic networks, which account for the specific advantage of memristive devices.

[1]  Wulfram Gerstner,et al.  Spiking Neuron Models , 2002 .

[2]  Daniele Ielmini,et al.  Introduction to Nanoionic Elements for Information Technology , 2016 .

[3]  T. Hasegawa,et al.  Short-term plasticity and long-term potentiation mimicked in single inorganic synapses. , 2011, Nature materials.

[4]  J J Hopfield,et al.  Neural networks and physical systems with emergent collective computational abilities. , 1982, Proceedings of the National Academy of Sciences of the United States of America.

[5]  S. Ambrogio,et al.  ReRAM‐Based Neuromorphic Computing , 2016 .

[6]  Wulfram Gerstner,et al.  Tag-Trigger-Consolidation: A Model of Early and Late Long-Term-Potentiation and Depression , 2008, PLoS Comput. Biol..

[7]  G. Bi,et al.  Synaptic Modifications in Cultured Hippocampal Neurons: Dependence on Spike Timing, Synaptic Strength, and Postsynaptic Cell Type , 1998, The Journal of Neuroscience.

[8]  M. Alexander,et al.  Principles of Neural Science , 1981 .

[9]  Pritish Narayanan,et al.  Neuromorphic computing using non-volatile memory , 2017 .

[10]  P. J. Sjöström,et al.  Rate, Timing, and Cooperativity Jointly Determine Cortical Synaptic Plasticity , 2001, Neuron.

[11]  P. J. Sjöström,et al.  Endocannabinoid-dependent neocortical layer-5 LTD in the absence of postsynaptic spiking. , 2004, Journal of neurophysiology.

[12]  M. Aminoff Principles of Neural Science. 4th edition , 2001 .

[13]  Mirko Hansen,et al.  Memristive Hebbian Plasticity Model: Device Requirements for the Emulation of Hebbian Plasticity Based on Memristive Devices , 2015, IEEE Transactions on Biomedical Circuits and Systems.

[14]  J Joshua Yang,et al.  Memristive devices for computing. , 2013, Nature nanotechnology.

[15]  D Marr,et al.  Simple memory: a theory for archicortex. , 1971, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[16]  D. Stewart,et al.  The missing memristor found , 2008, Nature.

[17]  Wulfram Gerstner,et al.  Neuronal Dynamics: From Single Neurons To Networks And Models Of Cognition , 2014 .

[18]  A Treves,et al.  Neural networks in the brain involved in memory and recall. , 1993, Progress in brain research.

[19]  Doo Seok Jeong,et al.  Towards artificial neurons and synapses: a materials point of view , 2013 .

[20]  Shauna M. Stark,et al.  A task to assess behavioral pattern separation (BPS) in humans: Data from healthy aging and mild cognitive impairment , 2013, Neuropsychologia.

[21]  W. Gerstner,et al.  Connectivity reflects coding: a model of voltage-based STDP with homeostasis , 2010, Nature Neuroscience.

[22]  J. Lisman Relating Hippocampal Circuitry to Function Recall of Memory Sequences by Reciprocal Dentate–CA3 Interactions , 1999, Neuron.

[23]  Daniel D. Lee,et al.  Equilibrium properties of temporally asymmetric Hebbian plasticity. , 2000, Physical review letters.

[24]  A. Artola,et al.  Synaptic Activity Modulates the Induction of Bidirectional Synaptic Changes in Adult Mouse Hippocampus , 2000, The Journal of Neuroscience.

[25]  Andrea Klug,et al.  The Hippocampus Book , 2016 .

[26]  Chiara Bartolozzi,et al.  Neuromorphic Electronic Circuits for Building Autonomous Cognitive Systems , 2014, Proceedings of the IEEE.

[27]  H. Markram,et al.  Regulation of Synaptic Efficacy by Coincidence of Postsynaptic APs and EPSPs , 1997, Science.

[28]  Wulfram Gerstner,et al.  Frontiers in Synaptic Neuroscience Synaptic Neuroscience , 2022 .

[29]  Wei Yang Lu,et al.  Nanoscale memristor device as synapse in neuromorphic systems. , 2010, Nano letters.

[30]  L. Chua Memristor-The missing circuit element , 1971 .

[31]  Johannes Partzsch,et al.  Rate and Pulse Based Plasticity Governed by Local Synaptic State Variables , 2010, Front. Syn. Neurosci..

[32]  Bernabé Linares-Barranco,et al.  On Spike-Timing-Dependent-Plasticity, Memristive Devices, and Building a Self-Learning Visual Cortex , 2011, Front. Neurosci..

[33]  Mirko Hansen,et al.  Double-Barrier Memristive Devices for Unsupervised Learning and Pattern Recognition , 2017, Front. Neurosci..