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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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The Cytoplasmic Function of Atm in Neurons: Beyond DNA Breaks

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Dr. Rishabh Pathak

The Ataxia-telangiectasia mutated protein kinase (ATM) is traditionally known for its role in DNA damage response, particularly in sensing and repairing DNA double-strand breaks. However, recent research has uncovered novel cytoplasmic functions of ATM in neurons that extend beyond its canonical role in DNA repair. Here are some key points regarding the cytoplasmic function of ATM in neurons:


1.      Regulation of Nucleolar Transcription:

o  ATM Activation: In neurons, ATM has been identified as a regulator of RNA-Polymerase-1 (Pol-1)-mediated transcription of nucleolar rRNA genes (rDNA). Activation of ATM, even at low concentrations of DNA double-strand break inducers, stimulates rDNA transcription in cortical neurons.

o    Transcriptional Regulation: ATM positively regulates nucleolar transcription by modulating the activity of Pol-1, which is essential for ribosomal RNA synthesis and ribosome biogenesis. Dysregulation of nucleolar transcription due to ATM deficiency may contribute to neurodegenerative processes.

2.     Nucleolar Localization:

o ATM Localization: Interestingly, ATM has been found to be robustly present in neuronal nucleoli, the subnuclear compartments responsible for ribosome biogenesis. This localization suggests a direct role for ATM in regulating nucleolar functions and ribosomal biogenesis in neurons.

o    Phosphorylation Targets: Critical regulators of Pol-1, the enzyme responsible for rRNA synthesis, display potential ATM phosphorylation sites. This indicates that ATM may directly modulate the activity of nucleolar transcription factors to regulate ribosomal biogenesis.

3.     Neurodegenerative Implications:

o Defective Ribosomal Biogenesis: Dysregulation of nucleolar transcription and ribosome biogenesis, as observed in ATM-deficient neurons, may contribute to neurodegenerative processes. Impaired ribosomal biogenesis can lead to disruptions in protein synthesis, cellular homeostasis, and neuronal function, potentially exacerbating neurodegenerative conditions.

o ATM-Related Disorders: Mutations in the ATM gene are associated with Ataxia-telangiectasia (A-T), a neurodegenerative disorder characterized by progressive cerebellar degeneration and increased cancer susceptibility. The cytoplasmic functions of ATM in nucleolar transcription provide insights into the pathophysiology of A-T and related neurodegenerative conditions.

4.    Therapeutic Implications:

o Targeting Nucleolar Transcription: Modulating nucleolar transcription and ribosome biogenesis pathways regulated by ATM could offer novel therapeutic strategies for neurodegenerative disorders associated with ATM dysfunction. Targeting ribosomal biogenesis processes may help restore neuronal homeostasis and function in these conditions.

o    Precision Medicine Approaches: Understanding the cytoplasmic functions of ATM in neurons opens up avenues for precision medicine approaches that target nucleolar transcription pathways specifically in neurodegenerative disorders linked to ATM abnormalities. Tailored interventions aimed at restoring nucleolar function could hold promise for disease management.

In conclusion, the cytoplasmic function of ATM in neurons, particularly its role in regulating nucleolar transcription and ribosomal biogenesis, represents a novel aspect of ATM biology beyond its canonical DNA damage response functions. Dysregulation of ATM-mediated nucleolar processes may contribute to neurodegenerative conditions, highlighting the therapeutic potential of targeting these pathways in neuronal disorders.

 

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