The category of directed graphs is isomorphic to a particular whose objects are labeled undirected bipartite and morphisms graph that respect the labeling. Based on this isomorphism, we begin by showing class all Graph Isomorphism Complete class. Afterwards, extending categorical framework weighted prime graphs, prove categories multidirected with without self-loops each graphs. Consequently, these classes also Complete.

Cognitive impairment is one of the many symptoms reported by individuals suffering from long-COVID and other post-viral infection disorders such as myalgic encephalomyelitis/chronic fatigue syndrome (ME/CFS). A common factor among these conditions a sustained immune response increased levels inflammatory cytokines. Tumor necrosis alpha (TNF-α) interleukin-6 (IL-6) are two cytokines that elevated in patients diagnosed with ME/CFS. In this study, we characterized changes neural functionality,...

Although a number of studies have explored deep learning in neuroscience, the application these algorithms to neural systems on microscopic scale, i.e. parameters relevant lower scales organization, remains relatively novel. Motivated by advances whole-brain imaging, we examined performance models dynamics and resulting emergent behaviors using calcium imaging data from nematode C. elegans . As one only species for which neuron-level can be recorded, serves as ideal organism designing...

While there is a growing appreciation of three-dimensional (3D) neural tissues (i.e., hydrogel-based, organoids, and spheroids), shown to improve cellular health network activity mirror brain-like in vivo, functional assessment using current electrophysiology techniques (e.g., planar multi-electrode arrays or patch clamp) has been technically challenging limited surface measurements at the bottom top 3D tissue. As next-generation MEAs, specifically are being developed increase spatial...

We use Category Theory to construct a ‘bridge’ relating directed graphs with undirected graphs, such that the notion of direction is preserved. Specifically, we provide an isomorphism between category simple and call ‘prime category’; this has as objects labeled bipartite (which prime graphs), morphisms graph preserve labeling morphisms). This theoretical bridge allows us extend techniques by converting into graphs. To give proof concept, show our construction preserves topological features...

Organophosphorus nerve agents (OPNA) are hazardous environmental exposures to the civilian population and have been historically weaponized as chemical warfare (CWA). OPNA exposure can lead several neurological, sensory, motor symptoms that manifest into chronic neurological illnesses later in life. There is still a large need for technological advancement better understand changes brain function following exposure. The human-relevant

Dynamic signaling on branching axons is critical for rapid and efficient communication between neurons in the brain. Efficient axon arbors depends a trade-off time it takes action potentials to reach synaptic terminals (temporal cost) amount of cellular material associated with wiring path length neuron's morphology (material cost). However, where balance structural dynamical considerations achieving efficiency is, design principle that optimize preserve this balance, still elusive. In work,...

We introduce a novel yet straightforward neural network initialization scheme that modifies conventional methods like Xavier and Kaiming initialization. Inspired by the concept of emergence leveraging measures proposed Li (2023), our method adjusts layer-wise weight scaling factors to achieve higher values. This enhancement is easy implement, requiring no additional optimization steps for compared GradInit. evaluate approach across various architectures, including MLP convolutional...

Analysis of the dynamics complex networks can provide valuable information. For example, be used to characterize and differentiate between different network inputs configurations. However, without quantitatively delineating network's dynamic regimes, analysis is based on heuristics qualitative signatures transient or steady-state regimes. This not ideal because interesting phenomena occur during regime, at transition two Moreover, for simulated observed systems, precise knowledge dynamical...

The integration and transmission of information in the brain are dependent on interplay between structural dynamical properties. Implicit any pursuit aimed at understanding neural dynamics from appropriate sets mathematically bounded conditions is notion an underlying fundamental structure-function constraint imposed by geometry networks resultant latencies involved with transfer information. We recently described construction theoretical analysis a framework that models how local rules give...

Understanding how the structural connectivity and spatial geometry of a network constrains dynamics it is able to support an active open area research. We simulated plausible resulting from known C. elegans connectome using recent model theoretical analysis that computes neurobiological networks by focusing on local interactions among connected neurons give rise global in emergent way. studied which resulted stimulating chemosensory neuron (ASEL) feeding circuit, both isolation embedded full...

Abstract Understanding how the structural connectivity of a network constrains dynamics it is able to support very active and open area research. We simulated plausible resulting from known C. elegans connectome using recent model theoretical analysis that computes neurobiological networks by focusing on local interactions among connected neurons give rise global in an emergent way, independent biophysical or molecular details cells themselves. studied which resulted stimulating chemosensory...

Background: Neonatal septicemia is defined as a clinical syndrome characterized by systemic signs and symptoms caused bacterial infection gives positive blood culture in the first month of life. It associated with high morbidity mortality, but early diagnosis treatment significantly improve outcomes. The present study brings out quick cost- effective Hematological Scoring System that enables neonatal sepsis
 Method: This was conducted Department Pathology Sree Gokulam Medical College...

The success of state-of-the-art machine learning is essentially all based on different variations gradient descent algorithms that minimize some version a cost or loss function. A fundamental limitation, however, the need to train these systems in either supervised unsupervised ways by exposing them typically large numbers training examples. Here, we introduce fundamentally novel conceptual approach takes advantage neurobiologically derived model dynamic signaling, constrained geometric...

Breast cancer is a significant cause of mortality in Indian women, characterized by increasing incidence younger individuals and heightened aggressiveness 1, 2 . The understanding molecular subtypes, especially those defined hormone receptor expression (ER, PR, HER2), pivotal for clinical management 3, 4 BCL2, proto-oncogene, adds complexity as its overexpression breast paradoxically associates with improved survival 6 This study aims to investigate BCL2 carcinoma relationship other...

Abstract Spike-timing dependent plasticity (STDP) is widely accepted as a mechanism through which the brain can learn information. Basing synaptic changes on timing between spikes enhances contributing edges within network. While STDP rules control evolution of networks, most research focuses spiking rates or specific activation paths when evaluating learned imaging studies demonstrate physical to synapses due STDP, these have not been interrogated based their embedding capacity stimulus...

BACKGROUND
 Menometrorrhagia is a common cause of iron deficiency anemia (IDA) in women reproductive age group. Latent (LID) precursor stage IDA which there evidence without anemia. LID causes cognitive impairment, impaired immunity and reduced work capacity can be corrected by supplementation. Conventional biochemical hematological parameters have limitations the diagnosis LID. This study was done to assess performance characteristics percentage hypochromic red cells (% HYPO) detection...

Although a number of studies have explored deep learning in neuroscience, the application these algorithms to neural systems on microscopic scale, i.e. parameters relevant lower scales organization, remains relatively novel. Motivated by advances whole-brain imaging, we examined performance models dynamics and resulting emergent behaviors using calcium imaging data from nematode C. elegans. We show that networks perform remarkably well both neuron-level prediction, behavioral state...

Abstract Many complex systems are modeled as graphs. Depending on the setting, graphs can be either directed or undirected. While many computational tools have been developed for both types of graphs, some only exist undirected Thus, creating a ’bridge’ that connects to would unlock potential using graph techniques in appropriate contexts. We used Category Theory novel way map simple bipartite we call prime graph. Formally, show there exists an isomorphism between category and whose objects...

Spike-timing dependent plasticity (STDP) is widely accepted as a mechanism through which the brain can learn information from different stimuli(1, 2). Basing synaptic changes on timing between presynaptic and postsynaptic spikes enhances contributing edges within network(3, 4). While STDP rules control evolution of networks, most research focuses spiking rates or specific activation paths when evaluating learned information(5–7). However, since augments structural weights, synapses may also...

Analysis of the dynamics complex networks can provide valuable information. For example, be used to characterize and differentiate between different network inputs configurations. However, without quantitatively delineating network’s dynamic regimes, analysis is based on heuristics qualitative signatures transient or steady-state regimes. This not ideal because interesting phenomena occur during regime, at transition two Moreover, for simulated observed systems, precise knowledge dynamical...

Abstract Many complex systems are modeled as graphs. Depending on the setting, graphs can be either directed or undirected.While many computational tools have been developed for both types of graphs, some only exist undirected graphs.Thus, creating a 'bridge' that connects to would unlock potential using graph techniques in appropriate contexts.We used Category Theory novel way map simple bipartite we call prime graph.Formally, show there exists an isomorphism between category and whose...