The connection-set algebra--a novel formalism for the representation of connectivity structure in neuronal network models - PubMed Skip to main page content
U.S. flag

An official website of the United States government

Dot gov

The .gov means it’s official.
Federal government websites often end in .gov or .mil. Before sharing sensitive information, make sure you’re on a federal government site.

Https

The site is secure.
The https:// ensures that you are connecting to the official website and that any information you provide is encrypted and transmitted securely.

Access keys NCBI Homepage MyNCBI Homepage Main Content Main Navigation
. 2012 Jul;10(3):287-304.
doi: 10.1007/s12021-012-9146-1.

The connection-set algebra--a novel formalism for the representation of connectivity structure in neuronal network models

Mikael Djurfeldt  1
Affiliations

The connection-set algebra--a novel formalism for the representation of connectivity structure in neuronal network models

Mikael Djurfeldt. Neuroinformatics. 2012 Jul.

Abstract

The connection-set algebra (CSA) is a novel and general formalism for the description of connectivity in neuronal network models, from small-scale to large-scale structure. The algebra provides operators to form more complex sets of connections from simpler ones and also provides parameterization of such sets. CSA is expressive enough to describe a wide range of connection patterns, including multiple types of random and/or geometrically dependent connectivity, and can serve as a concise notation for network structure in scientific writing. CSA implementations allow for scalable and efficient representation of connectivity in parallel neuronal network simulators and could even allow for avoiding explicit representation of connections in computer memory. The expressiveness of CSA makes prototyping of network structure easy. A C+ + version of the algebra has been implemented and used in a large-scale neuronal network simulation (Djurfeldt et al., IBM J Res Dev 52(1/2):31-42, 2008b) and an implementation in Python has been publicly released.

PubMed Disclaimer

Similar articles

See all similar articles

Cited by

See all "Cited by" articles

References

    1. Philos Trans R Soc Lond B Biol Sci. 2001 Aug 29;356(1412):1209-28 - PubMed
    1. Cereb Cortex. 2002 Sep;12(9):936-53 - PubMed
    1. Neuroinformatics. 2007 Summer;5(2):127-38 - PubMed
    1. Network. 2006 Sep;17(3):253-76 - PubMed
    1. Neuroinformatics. 2010 Oct;8(3):183-96 - PubMed

Publication types

LinkOut - more resources