Existing computational models of the retina often compromise between the biophysical accuracy and a hardware-adaptable methodology of implementation. When compared to the current modes of vision restoration, algorithmic models often contain a greater correlation between stimuli and the affected neural network, but lack physical hardware practicality. Thus, if the present processing methods are adapted to complement very-large-scale circuit design techniques, it is anticipated that it will engender a more feasible approach to the physical construction of the artificial retina. The computational model presented in this research serves to provide a fast and accurate predictive model of the retina, a deeper understanding of neural responses to visual stimulation, and an architecture that can realistically be transformed into a hardware device. Traditionally, implicit (or semi-implicit) ordinary differential equations (OES) have been used for optimal speed and accuracy. We present a novel approach that requires the effective integration of different dynamical time scales within a unified framework of neural responses, where the rod, cone, amacrine, bipolar, and ganglion cells correspond to the implemented pathways. Furthermore, we show that adopting numerical integration can both accelerate retinal pathway simulations by more than 50% when compared with traditional ODE solvers in some cases, and prove to be a more realizable solution for the hardware implementation of predictive retinal models.

How sensory information from the external world is extracted, learnt, stored within, and retrieved from the brain ultimately relies on both the strengths and patterning of connections converging onto neuronal dendrites and the nonlinear nature of the membrane. The underlying processes that permit this ultimately relies upon the non trivial interplay between the nonlinear nature of the dendrite, synapse location, and processes that mediate synaptic plasticity. Collectively, this interplay shapes both the response properties of neurons and their behavior within a neural circuit. Experimental and theoretical studies are starting to support the notion that the learning process encodes information through the formation of synaptic clusters or hotspots that share similar features. We have previously shown that spike timing-dependent plasticity (STDP) organizes the strengths of spatially distributed synaptic connections by forming a tessellation pattern of segregated synaptic efficacy clusters that effectively partitions the dendrite. We have called this patterning a dendritic mosaic. Furthermore, we have recently shown how the formation of such patterns is influenced by the degree balance admitted by STDP. Here, we report that altering the morphology of the dendritic tree can strongly influence the emergence of the dendritic mosaic.

The ability to carry out signal processing, classification, recognition, and computation in artificial spiking neural networks (SNNs) is mediated by their synapses. In particular, through activity-dependent alteration of their efficacies, synapses play a fundamental role in learning. The mathematical prescriptions under which synapses modify their weights are termed synaptic plasticity rules. These learning rules can be based on abstract computational neuroscience models or on detailed biophysical ones. As these rules are being proposed and developed by experimental and computational neuroscientists, engineers strive to design and implement them in silicon and en masse in order to employ them in complex real-world applications. In this paper, we describe analog very large-scale integration (VLSI) circuit implementations of multiple synaptic plasticity rules, ranging from phenomenological ones (e.g., based on spike timing, mean firing rates, or both) to biophysically realistic ones (e.g., calcium-dependent models). We discuss the application domains, weaknesses, and strengths of various representative approaches proposed in the literature, and provide insight into the challenges that engineers face when designing and implementing synaptic plasticity rules in VLSI technology for utilizing them in real-world applications.

Spike Timing Dependent Plasticity (STDP) is a time-based synaptic plasticity rule that has generated significant interest in the area of neuromorphic engineering and Very Large Scale Integration (VLSI) circuit design. During the last decade, STDP and STDP-like learning mechanisms have shown promising solutions for various real world applications, ranging from pattern recognition to robotics. This paper presents a novel analog VLSI model for STDP that possesses advantages compared to previously published VLSI STDP designs. The presented STDP circuit is capable of reproducing the outcomes of several well known experiments using various plasticity rules inducing STDP protocols that utilise pairs, triplets, and quadruplets of spike patterns. When the circuit is compared to state-of-the-art VLSI STDP circuits, it shows a compact and symmetric design that makes the proposed circuit a powerful component for use in designing STDP or time-based Hebbian learning experiments and applications.

The Bienenstock-Cooper-Munro (BCM) and Spike Timing-Dependent Plasticity (STDP) rules are two experimentally verified form of synaptic plasticity where the alteration of synaptic weight depends upon the rate and the timing of pre- and post-synaptic firing of action potentials, respectively. Previous studies have reported that under specific conditions, i.e. when a random train of Poissonian distributed spikes are used as inputs, and weight changes occur according to STDP, it has been shown that the BCM rule is an emergent property. Here, the applied STDP rule can be either classical pair-based STDP rule, or the more powerful triplet-based STDP rule. In this paper, we demonstrate the use of two distinct VLSI circuit implementations of STDP to examine whether BCM learning is an emergent property of STDP. These circuits are stimulated with random Poissonian spike trains. The first circuit implements the classical pair-based STDP, while the second circuit realizes a previously described triplet-based STDP rule. These two circuits are simulated using 0.35 µm CMOS standard model in HSpice simulator. Simulation results demonstrate that the proposed triplet-based STDP circuit significantly produces the threshold-based behaviour of the BCM. Also, the results testify to similar behaviour for the VLSI circuit for pair-based STDP in generating the BCM.

Spike-Timing Dependent Plasticity (STDP) is believed to play an important role in learning and the formation of computational function in the brain. The classical model of STDP which considers the timing between pairs of pre-synaptic and post-synaptic spikes (p-STDP) is incapable of reproducing synaptic weight changes similar to those seen in biological experiments which investigate the effect of either higher order spike trains (e.g. triplet and quadruplet of spikes) [1]-[3], or, simultaneous effect of the rate and timing of spike pairs [4] on synaptic plasticity. In this paper, we firstly investigate synaptic weight changes using a p-STDP circuit [5] and show how it fails to reproduce the mentioned complex biological experiments. We then present a new STDP VLSI circuit which acts based on the timing among triplets of spikes (t-STDP) that is able to reproduce all the mentioned experimental results. We believe that our new STDP VLSI circuit improves upon previous circuits, whose learning capacity exceeds current designs due to its capability of mimicking the outcomes of biological experiments more closely; thus plays a significant role in future VLSI implementation of neuromorphic systems.