Combinatorial Displacement of DNA Strands: Application to Matrix Multiplication and Weighted Sums

Abstract

DNA multiplication tables: A combinatorial mechanism for DNA strand displacement shares the same structure as matrix multiplication (see scheme). This system can be used to perform linear operations on DNA concentrations, such as the calculation of a weighted sum. Detailed facts of importance to specialist readers are published as ”Supporting Information”. Such documents are peer-reviewed, but not copy-edited or typeset. They are made available as submitted by the authors. Please note: The publisher is not responsible for the content or functionality of any supporting information supplied by the authors. Any queries (other than missing content) should be directed to the corresponding author for the article.