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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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Age-dependent changes in fate and fate potential of polydendrocytes (NG2 glial Cells)

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Dr. Rishabh Pathak

Age-dependent changes in the fate and fate potential of polydendrocytes, also known as NG2 glial cells, highlight the dynamic nature of these progenitor cells in the central nervous system. Here are some key points related to age-dependent alterations in the fate and fate potential of polydendrocytes:


1.      Developmental Plasticity:

oEarly Development: During early development, NG2 glial cells exhibit high proliferative capacity and serve as oligodendrocyte progenitor cells (OPCs) responsible for generating myelinating oligodendrocytes in the CNS.

oFate Potential: Polydendrocytes have been shown to possess multipotency, with the ability to differentiate not only into oligodendrocytes but also into astrocytes and possibly neurons under certain conditions, indicating their potential role beyond myelination.

2.     Age-Dependent Changes:

oReduced Proliferation: With advancing age, the proliferative capacity of NG2 glial cells tends to decline, leading to decreased generation of new oligodendrocytes and reduced remyelination potential in response to demyelinating insults.

o Altered Differentiation: Age-related changes in the fate potential of polydendrocytes may involve a shift towards gliogenic rather than oligodendrogenic differentiation, resulting in an increased propensity to differentiate into astrocytes rather than oligodendrocytes.

o Senescence and Dysfunction: Aging-related factors can contribute to cellular senescence, altered gene expression profiles, and functional impairment in polydendrocytes, impacting their regenerative capacity and overall contribution to CNS homeostasis.

3.     Microenvironmental Influence:

o Age-Related Changes in the Niche: The age-related alterations in the neural microenvironment, including changes in neuroinflammatory responses, oxidative stress, and trophic support, can influence the fate and function of polydendrocytes, potentially contributing to age-dependent shifts in their behavior.

oInflammatory Signaling: Age-related neuroinflammation and alterations in cytokine signaling pathways can modulate the fate decisions of NG2 glial cells, promoting astrogliogenesis over oligodendrogenesis in the aged CNS.

4.    Therapeutic Implications:

oTargeting Age-Related Changes: Understanding the age-dependent changes in the fate and fate potential of polydendrocytes is crucial for developing therapeutic strategies aimed at promoting oligodendrocyte regeneration, enhancing remyelination, and preserving white matter integrity in the aging brain.

oModulating Microenvironment: Interventions targeting the neural microenvironment, such as anti-inflammatory approaches, antioxidant therapies, and trophic factor supplementation, may help mitigate age-related alterations in polydendrocyte function and support their regenerative capacity in neurodegenerative conditions.

In summary, age-dependent changes in the fate and fate potential of polydendrocytes reflect the complex interplay between intrinsic cellular properties, extrinsic microenvironmental cues, and aging-related factors that influence the regenerative capacity and functional diversity of these NG2 glial cells in the adult CNS. Understanding the molecular mechanisms underlying age-related alterations in polydendrocyte behavior is essential for developing targeted interventions to promote oligodendrocyte lineage progression, enhance myelination, and maintain white matter homeostasis in the context of aging and neurodegenerative diseases.

 

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