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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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Mechanisms Underlying Gliotransmitter ATP and Their Dysfunctions

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Dr. Rishabh Pathak

Gliotransmitters, including ATP, released by astrocytes play essential roles in modulating synaptic transmission and neuronal function in the central nervous system. Here are key mechanisms underlying gliotransmitter ATP release and their dysfunctions:


1.      ATP Release Mechanisms:

o    Ca2+-Dependent Exocytosis: Astrocytes release ATP in a Ca2+-dependent manner through regulated exocytosis. Intracellular Ca2+ elevations trigger the fusion of ATP-containing vesicles with the plasma membrane, leading to the release of ATP into the extracellular space.

o Connexin Hemichannels: ATP can also be released through connexin hemichannels, which form gap junctions between astrocytes. Opening of these hemichannels allows ATP to pass from one astrocyte to another or to the extracellular space, facilitating intercellular communication.

o    Pannexin Channels: Pannexin channels in astrocytes can mediate ATP release in response to various stimuli, including mechanical stress, changes in extracellular potassium levels, and neurotransmitter signaling. Activation of pannexin channels allows ATP efflux and signaling to neighboring cells.

2.     Functions of Gliotransmitter ATP:

o Neurotransmitter Release Modulation: ATP released by astrocytes can modulate synaptic transmission by acting on presynaptic purinergic receptors. ATP signaling can regulate neurotransmitter release probability, synaptic plasticity, and neuronal excitability, influencing overall network activity.

o    Astrocyte-Neuron Communication: ATP serves as a signaling molecule in astrocyte-neuron communication, participating in bidirectional signaling between astrocytes and neurons. ATP release from astrocytes can activate purinergic receptors on neurons, leading to diverse physiological responses.

o Neurovascular Coupling: Gliotransmitter ATP is involved in neurovascular coupling, the process by which neuronal activity is coupled to local changes in cerebral blood flow. ATP released by astrocytes can regulate vascular tone and blood flow in response to neuronal activity, ensuring adequate oxygen and nutrient delivery to active brain regions.

3.     Dysfunctions of Gliotransmitter ATP Signaling:

o   Neuroinflammation: Dysregulated ATP release from astrocytes can contribute to neuroinflammatory processes. Excessive ATP release or impaired ATP clearance can activate microglia and promote the release of pro-inflammatory cytokines, leading to neuroinflammation and neuronal damage.

o    Neurological Disorders: Alterations in ATP signaling pathways involving astrocytes have been implicated in various neurological disorders, including epilepsy, Alzheimer's disease, and chronic pain conditions. Dysfunctions in ATP release mechanisms or purinergic receptor signaling can disrupt normal brain function and contribute to disease pathogenesis.

o    Synaptic Dysfunction: Aberrant ATP signaling in astrocytes can disrupt synaptic function and plasticity. Imbalances in ATP release and purinergic receptor activation may impair neurotransmission, synaptic plasticity, and neuronal network activity, potentially leading to cognitive deficits and neurological symptoms.

Understanding the mechanisms underlying gliotransmitter ATP release and its dysfunctions is crucial for elucidating the role of astrocytes in brain function and pathology. Targeting ATP signaling pathways in astrocytes may offer potential therapeutic strategies for modulating synaptic transmission, neuroinflammation, and neurological disorders associated with aberrant gliotransmitter signaling.

 

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