# gst: homology for structural characterization in disordered systems

<< Local and global structural characterizations emphasize different aspects of materials, with the former focusing on microscopic features like coordination environment, short-range order, bond angles and lengths, and the latter on macroscopic features like long-range order, phase structure, lattice constants, and overall symmetry. In conclusion, local characterization focuses on the environment and structure of individual particles or regions, while global characterization refers to the overall topology or geometry of the material. >>

AA << propose a unified framework based on persistent homology to characterize both local and global structures in disordered systems. It can simultaneously generate local and global descriptors using the same algorithm and data structure, and has been shown to be highly effective and interpretable in predicting particle rearrangements and classifying global phases. >>

AA also << define a nonparametric metric, the separation index, (that) establishes a connection between particle environments and the global phase structure. >>

An Wang, Li Zou. Persistent homology for structural characterization in disordered systems. Phys. Rev. E 111, 045306. Apr 17, 2025.

https://journals.aps.org/pre/abstract/10.1103/PhysRevE.111.045306

Also: particle, disorder, in https://www.inkgmr.net/kwrds.html 

Keywords: gst, particle, disorder, homology

# brain: flies, mice and humans, comparable behaviors for balance and motor control

<< Comparative developmental genetics indicate insect and mammalian forebrains form and function in comparable ways. However, these data are open to opposing interpretations that advocate either a single origin of the brain and its adaptive modification during animal evolution; or multiple, independent origins of the many different brains present in extant Bilateria. Here, (AA) describe conserved regulatory elements that mediate the spatiotemporal expression of developmental control genes directing the formation and function of midbrain circuits in flies, mice, and humans. These circuits develop from corresponding midbrain-hindbrain boundary regions and regulate comparable behaviors for balance and motor control. (They) findings suggest that conserved regulatory mechanisms specify cephalic circuits for sensory integration and coordinated behavior common to all animals that possess a brain. >>

Jessika C. Bridi, Zoe N. Ludlow, et al. Ancestral regulatory mechanisms specify conserved midbrain circuitry in arthropods and vertebrates. PNAS. doi: 10.1073/ pnas.1918797117. Aug 3, 2020.

https://www.pnas.org/content/early/2020/07/31/1918797117  

Humans and flies employ very similar mechanisms for brain development and function. King's College London.  Aug 3, 2020.

https://phys.org/news/2020-08-humans-flies-similar-mechanisms-brain.html

Also

'mosca in bottiglia' in: 2066 - voli a casaccio. Notes. Oct 01, 2006.   (quasi-stochastic poetry)

https://inkpi.blogspot.com/2006/10/2066-voli-casaccio.html

Also

keyword 'flies' in FonT

https://flashontrack.blogspot.com/search?q=flies