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Advanced Neurology                                                   Evaluating plausibility of thalamic model



            REs, coupled with inhibitory facilitation favoring burst   “Relay neurons” graph). The Rs responsible for extracting
            mode activation, enables the consistent extraction and   the PC then enters a refractory state, as recorded in
            retransmission of PCs to higher cortical systems. Although   “Refractoriness” graph.
            not identical, the similarity of reticular activity, as per   In  Figure  10C, the network dynamics evolve with
            our model, stands as a pivotal element supporting the   the activation of a second Rs (5, 6 in the “Winning
            hypothesis of the thalamus as a central orthogonalizer in   neuron”  graph). This neuron’s extracted PCs overlap
            the brain, showcasing a plausible bioinspired performance.  with the previously inhibited REs, creating an “E” shape

            3.2. Pattern completion and stabilized images on   (Figure 10D). The Rs 1 and 2 also enters a refractory state
            the retina                                         and is recorded at positions 1 and 2 in the “Refractoriness”
                                                               graph. Additional changes in the REs occur at positions 3,
            3.2.1. Pattern completion by the computational model   6, and 3, 7 in the “Relay neuron” graph.
            of the thalamus
                                                                 By the end of the PC extraction process (Figure 10E), a
            The process of pattern completion unfolds through the   final winning Rs (9, 3) activates, completing the inhibition
            inhibitory feedback connections from the second to the   process on the REs and fully forming the letter “B”
            first layer described in Section 3.1. In this backward path,   (Figure 10F). In total, the activation of three Rs (1, 2; 5,
            the  inhibitions  generated  are  subtracted  from  the  input   6; 9, 3) was required to extract the PCs (“I,” “E,” and “B”)
            pattern when presented to the network. These inhibitions   from the corrupted “B” input and achieve its completion.
            construct a negative replica of the input pattern during   This experiment demonstrates the computational pattern
            training, mirroring the input pattern itself. Once the   completion capability of our artificial thalamic network,
            negative feedback pattern matches the positive input   which is essential for the subsequent results.
            pattern, further reinforcement ceases in the network (for
            detailed insights into the  biological processes occurring   3.3. Replicating stabilized images on the retina
            in the thalamus, please refer reference ). An animated   Section 3.2.1 demonstrated that the artificial thalamus
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            graphical representation and the program’s functionality   can complete a damaged or noisy pattern. If only a small
            can be watched in Video S1.                        part of the pattern is presented to the network, the PC that
              In our model, the REs gradually calculate the mean   best matches this part becomes activated, leading to the
            of all input patterns and then project the deviations from   triggering of a neuron in the second layer and generating
            the mean onto the Rs. The highest deviation corresponds   backward inhibition in the network. This sequence of
            to the first PC, which is represented by the connection   inhibitions reproduces a previously presented pattern or a
            weights between  the REs and  the  Rs. The  inhibitory   relevant part of it.
            projections from the Rs subtract this deviation from the   In the context of stabilized images on the retina,
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            original input, and their projection is adjusted relative   presenting  partial  patterns  to  the  thalamus  from  the
            to previous axes. Subsequently, the remaining deviations   retina  closely resembles  the previous  experiment. The
            are sequentially processed in descending order by the Rs,   constantly changing parts of the image presented to the
            reflecting the importance ranking of the PCs (refer to   network, caused by the rapid saturation of photoreceptors
            Supplementary File, Section 3).
                                                               and the activation of only a small fraction of retinal cells
              Figure  10  demonstrates the pattern completion   corresponding to the pattern, lead to the images reaching
            capability  of the  thalamic  network  with  81 relay  and   the thalamus as random pieces of the original pattern. Each
            thalamic neurons when corrupted pattern “B” is input.   time one of these pieces arrives at the thalamus, a different
            One epoch of pixelated (9 ×  9) letters, considering the   pattern is recovered, not necessarily corresponding to
            entire alphanumeric alphabet, was used for training. The   the actual pattern shown to the subject. The small pieces
            surface in the central  graph represents the evolution of   of the input pattern arriving at the thalamus generate
            the post-synaptic membrane potentials of each neuron in   hallucinatory perceived images.
            the second reticular layer. We refer to the neurons in their   To simulate the scenario of hallucinatory pattern
            respective graphs using matrix coordinates (row, column).  completion by the thalamic model, we used the same setup
              Initially (Figure 10A), the REs in the first thalamic layer   as before, comprising 81 relay and Rs, with 13,122 synaptic
            receive input from the corrupted “B” (“Pattern”graph). The   weights modified at each iteration of the algorithm. A set
            Rs (1,2 in the “Winning neuron” graph) extracts the PC   of  six  patterns  representing  the  letters  “4,”  “H,”  “B,”  “3,”
            from the corrupted pattern and produces an “I”-pattern   “b,” and “E” were presented, requiring approximately 100
            inhibition over the first layer (Figure  10B; “Inhibitions”   iterations to process each pattern. A total of 1000 iterations
            graph), initiating a gradual change in the REs (7.5 in the   were completed, and with only one or two presentations of


            Volume 3 Issue 3 (2024)                         11                               doi: 10.36922/an.3188
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