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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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Split-CRE Mediated Analysis of a Progenitor Cell Population Activated by Brain Lesions

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Dr. Rishabh Pathak

Split-Cre mediated analysis of a progenitor cell population activated by brain lesions involves a sophisticated genetic approach to track and manipulate specific cell populations in response to injury. Here are some key points related to Split-Cre mediated analysis of progenitor cells activated by brain lesions:

1.      Principle of Split-Cre System:

o Split-Cre Recombinase: The Split-Cre system involves dividing the Cre recombinase enzyme into two inactive fragments that can reconstitute functional Cre activity when brought together in proximity, allowing for spatial and temporal control over genetic recombination events.

o Cell-Specific Activation: By expressing one Cre fragment under the control of a cell type-specific promoter and the complementary fragment in response to injury signals or lesion-induced factors, the Split-Cre system enables the selective activation of Cre recombinase activity in the targeted progenitor cell population following brain lesions.

2.     Analysis of Activated Progenitor Cells:

oLineage Tracing: Upon reconstitution of functional Cre recombinase activity in response to brain lesions, the activated progenitor cells can be lineage-traced using Cre reporter alleles or genetic indicators to track their fate, differentiation potential, and contribution to tissue repair.

oCell Fate Determination: The Split-Cre system allows for the precise labeling and genetic manipulation of the progenitor cell population activated by brain lesions, facilitating the investigation of their fate decisions, lineage relationships, and regenerative capacity in the injured brain microenvironment.

3.     Temporal Control and Inducibility:

oTemporal Regulation: The Split-Cre system can incorporate inducible promoters or regulatory elements to control the timing of Cre reconstitution, enabling researchers to activate genetic labeling specifically in response to brain lesions at desired time points during the injury response.

oDynamic Analysis: Temporal control over Split-Cre mediated activation of progenitor cells allows for dynamic analysis of the cellular response to brain lesions, including the kinetics of progenitor cell activation, proliferation, migration, and differentiation in the context of injury-induced neurogenesis or gliogenesis.

4.    Functional Studies and Manipulations:

oGenetic Manipulations: The Split-Cre system can be coupled with genetic tools for conditional gene knockout, overexpression, or lineage-specific perturbations to investigate the functional role of the activated progenitor cell population in brain repair processes following lesions.

oBehavioral and Functional Assessments: By combining Split-Cre-mediated lineage tracing with behavioral assays, electrophysiological recordings, or imaging techniques, researchers can assess the functional integration of activated progenitor cells into the injured brain circuitry and their impact on neurological recovery.

In summary, Split-Cre mediated analysis of a progenitor cell population activated by brain lesions offers a powerful genetic strategy to selectively target, label, and manipulate specific cell populations in response to injury, providing insights into the regenerative potential, fate determination, and functional contributions of activated progenitor cells in the context of brain repair and recovery following neural damage.

 

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