Page 8: Research news on 3-dimensional systems

In the context of physical systems, 3-dimensional systems are systems whose relevant degrees of freedom are embedded in or constrained by three spatial dimensions, typically described by coordinates (x, y, z) in Euclidean space. Their behavior is governed by field equations or dynamical laws defined over a 3D manifold, such as Maxwell’s equations, Navier–Stokes equations, or Schrödinger’s equation in three spatial dimensions. These systems exhibit phenomena inherently dependent on 3D geometry and topology, including volumetric interactions, three-component vector fields, and spatially resolved boundary conditions, and they often require tensorial or vector calculus formalisms for accurate modeling and analysis.

Shrinking hydrogels enlarge nanofabrication options

Researchers from Carnegie Mellon University and the Chinese University of Hong Kong have developed a strategy for creating ultrahigh-resolution, complex 3D nanostructures out of various materials.

Breast cancer cells use force to open channels through tissue

Researching how cancers grow and spread has conventionally been done on two-dimensional, flat cultures of cells, which is very different to the three-dimensional structure of cells in the body. 3D cell cultures that incorporate ...

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