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Energy Manifold Natural Gradient Descent: From Riemannian Optimization to Modern Neuroscience, NeuroAI and Quantum Physics

Dr. Rishabh Pathak
When Geometry, Energy, Artificial Intelligence and Neuroscience Converge Modern Artificial Intelligence is rapidly moving beyond the idea that learning simply means minimizing an error function. Increasingly, researchers are asking a deeper question: what is the structure of the space in which learning takes place? This question becomes particularly important when the system being modelled is constrained, nonlinear, dynamic, or governed by physical principles. A recent work titled “Energy Manifold Natural Gradient Descent: Riemannian Optimization for Neural PDE Solvers” , by Zhangyong Liang and Huanhuan Gao, introduces Energy Manifold Natural Gradient Descent (EMNGD) , a mathematical framework that extends energy-based natural-gradient optimization from unconstrained Euclidean parameter spaces to constrained Riemannian parameter manifolds . At its core, the framework proposes a simple but powerful principle: An optimization algorithm should not only determine how to reduce error; it sh...
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Molecular Mechanisms Of Nucleotide Release: Focus On Pannexin-1 Channels

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Dr. Rishabh Pathak

The release of nucleotides, such as ATP, plays a crucial role in intercellular communication and signaling in various physiological processes. Pannexin1 channels have been implicated in the molecular mechanisms of nucleotide release. Here is an overview focusing on the molecular mechanisms of nucleotide release, particularly through Pannexin1 channels:


1.      Pannexin1 Channels:

o    Structure:

§  Pannexin1 is a membrane protein that forms large-pore channels implicated in the release of signaling molecules, including ATP.

§  Pannexin1 channels are composed of six subunits arranged in a hexameric structure, creating a transmembrane pore for the passage of molecules.

o    Localization:

§  Pannexin1 channels are found in various cell types, including neurons, astrocytes, immune cells, and endothelial cells, where they participate in intercellular communication.

2.Molecular Mechanisms of Nucleotide Release through Pannexin1:

o    ATP Release:

§  Pannexin1 channels have been shown to facilitate the release of ATP from cells in response to various stimuli, such as mechanical stress, depolarization, and inflammatory signals.

o    Activation:

§  The opening of Pannexin1 channels can be triggered by different mechanisms, including changes in membrane potential, intracellular calcium levels, or post-translational modifications.

o    Regulation:

§  Pannexin1 channel activity can be modulated by various factors, such as extracellular ATP levels, pH, and interactions with other proteins or signaling molecules.

o    Role in Purinergic Signaling:

§  ATP released through Pannexin1 channels can act as an autocrine or paracrine signaling molecule, activating purinergic receptors on neighboring cells and influencing physiological responses.

3.     Physiological Functions:

o    Neuronal Communication:

§  Pannexin1 channels in neurons are involved in synaptic transmission, neuronal excitability, and the propagation of calcium waves.

o    Immune Responses:

§  In immune cells, Pannexin1-mediated ATP release contributes to inflammatory responses, immune cell activation, and the coordination of immune signaling.

o    Vascular Regulation:

§  Pannexin1 channels in endothelial cells play a role in vasodilation, blood flow regulation, and the modulation of vascular tone through ATP release.

4.    Pathophysiological Implications:

o    Neurological Disorders:

§  Dysregulation of Pannexin1-mediated ATP release has been linked to neuroinflammation, seizure activity, and neurodegenerative diseases.

o    Inflammatory Conditions:

§  Pannexin1 channels are involved in immune cell activation, cytokine release, and the amplification of inflammatory responses in conditions such as autoimmune diseases and infections.

Understanding the molecular mechanisms of nucleotide release through Pannexin1 channels provides insights into the role of these channels in intercellular communication, signaling pathways, and physiological responses. Further research on the regulation and functional implications of Pannexin1-mediated ATP release may uncover potential therapeutic targets for modulating purinergic signaling in health and disease contexts.

 

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