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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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Plasticity Of AMPA Receptor Transmission During Cocaine Withdrawal

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Dr. Rishabh Pathak

During cocaine withdrawal, there are dynamic changes in the plasticity of AMPA receptor transmission in the brain, which play a crucial role in the neurobiological mechanisms underlying addiction and withdrawal symptoms. Here are key insights into the plasticity of AMPA receptor transmission during cocaine withdrawal:


1.      Synaptic Adaptations:

o    Upregulation of AMPA Receptors: Chronic cocaine use can lead to an increase in the surface expression of AMPA receptors in key brain regions involved in addiction, such as the nucleus accumbens and prefrontal cortex.

oIncreased Glutamatergic Transmission: Enhanced glutamatergic transmission through AMPA receptors during cocaine withdrawal contributes to heightened excitatory signaling and synaptic plasticity changes.

2.     Homeostatic Regulation:

o Synaptic Scaling: Following prolonged cocaine exposure, neurons undergo homeostatic synaptic scaling to maintain overall stability in excitatory synaptic strength, which involves adjustments in AMPA receptor function.

oBidirectional Plasticity: During withdrawal, bidirectional plasticity of AMPA receptor transmission occurs, with alterations in both synaptic potentiation and depression mechanisms.

3.     Neuroadaptations:

o  Altered AMPA/NMDA Ratio: Changes in the balance between AMPA and NMDA receptor activity, such as an increase in the AMPA/NMDA ratio, are observed during cocaine withdrawal, reflecting adaptations in synaptic strength and plasticity.

o  Regulation of Synaptic Transmission: Cocaine withdrawal is associated with the dysregulation of AMPA receptor-mediated synaptic transmission, leading to aberrant synaptic plasticity and neuronal excitability.

4.    Behavioral Consequences:

o  Craving and Relapse: Plasticity of AMPA receptor transmission during cocaine withdrawal is linked to the development of drug craving, relapse vulnerability, and persistent changes in reward-related behaviors.

o    Cognitive Impairments: Dysregulation of AMPA receptor function and synaptic plasticity may contribute to cognitive deficits and emotional disturbances observed during cocaine withdrawal.

5.     Therapeutic Implications:

o    Understanding the plasticity of AMPA receptor transmission during cocaine withdrawal is essential for developing targeted pharmacological interventions and behavioral therapies to normalize synaptic function and mitigate withdrawal symptoms.

o    Strategies aimed at modulating AMPA receptor activity, restoring synaptic plasticity, and rebalancing glutamatergic transmission are being explored as potential therapeutic approaches for managing cocaine addiction and withdrawal.

By investigating the plasticity of AMPA receptor transmission during cocaine withdrawal, researchers aim to uncover novel targets for intervention and develop effective treatments to address the neurobiological changes associated with drug addiction and withdrawal.

 

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