Laboratory for Systems Chemistry

Prof. Gonen Ashkenasy Research Group

How symmetry and order affect logic operations and computation in catalytic chemical networks

Nathaniel Wagner, Samaa Alesebi, Gonen Ashkenasy

We discuss here the recent progress in design, construction and kinetic analysis of logic gates and computational modules within small chemical networks. We show how small artificial networks of replicating and catalyzed molecules, when manipulated properly by enabling or disabling specific catalytic pathways, may yield all two-input Boolean logic operations, as well as the half-adder and half-subtractor arithmetic units. We then discuss experiments where actual networks of synthetic peptides are employed. Finally, we show mathematically that while all logic gates may be constructed in principle even from low-order catalytic systems, symmetry constraints and reasonable chemical assumptions require higher catalytic order, a conclusion with far-reaching implications for molecular self-organization and Systems Chemistry.

Publication language English
Pages 471-480
Journal Journal of Computational and Theoretical Nanoscience
Volume 8
Issue number 3
Publication status Published - 01.03.2011

Keywords

Chemical Networks
Molecular Logic Gates
Self-Replication

ASJC Scopus subject areas

General Chemistry
General Materials Science
Condensed Matter Physics
Computational Mathematics
Electrical and Electronic Engineering
Access to Document
10.1166/jctn.2011.1712
Other files and links
Link to publication in Scopus