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...
Polysialylation
of NCAM refers to the post-translational modification of the Neural Cell
Adhesion Molecule (NCAM) with polysialic acid chains. Here is an overview of
polysialylation of NCAM:
1. Polysialic Acid
(PSA):
o Polysialic acid
is a linear homopolymer of α-2,8-linked sialic acid residues.
o PSA is a large,
negatively charged carbohydrate polymer that can be attached to glycoproteins,
with NCAM being one of the major carriers of polysialic acid in the nervous
system.
2. Function of
Polysialylation:
o Regulation of
Cell Adhesion: Polysialylation of NCAM reduces its adhesive properties, leading to
decreased cell-cell adhesion and increased cell motility.
o Neuronal
Plasticity:
Polysialylation of NCAM is involved in modulating neuronal plasticity, axon
guidance, and synaptic remodeling during development and in response to
environmental cues.
o Neurite Outgrowth: PSA-NCAM
promotes neurite outgrowth by reducing cell adhesion, allowing for increased
exploratory behavior of growth cones and facilitating axon pathfinding.
3. Developmental
Role:
o Neural Development: Polysialylation
of NCAM is particularly important during neural development, where it regulates
processes such as neuronal migration, axon guidance, and synaptogenesis.
o Plasticity and
Learning: The
dynamic regulation of polysialylation of NCAM is associated with synaptic
plasticity, learning, and memory formation in the brain.
4. Regulation of
Polysialylation:
o Enzymatic
Modification: Polysialylation of NCAM is catalyzed by two polysialyltransferases,
ST8SiaII and ST8SiaIV, which add polysialic acid chains to specific sites on
NCAM.
o Developmental
Regulation: The
expression and activity of polysialyltransferases are tightly regulated during
development and can be influenced by various extracellular signals and neuronal
activity.
5. Functional
Implications:
o Disease
Associations: Dysregulation of polysialylation of NCAM has been implicated in
neurodevelopmental disorders, neurodegenerative diseases, and psychiatric
conditions.
o Therapeutic
Potential:
Modulation of polysialylation of NCAM represents a potential therapeutic target
for promoting neural regeneration, enhancing synaptic plasticity, and treating
neurological disorders.
In summary,
polysialylation of NCAM plays a critical role in regulating cell adhesion,
neuronal plasticity, and neural development by modulating the adhesive
properties of NCAM and influencing processes such as neurite outgrowth, axon
guidance, and synaptic remodeling. The dynamic regulation of polysialylation of
NCAM contributes to the functional diversity of NCAM in the nervous system and
its involvement in various physiological and pathological conditions.
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