Browse wiki
From MurrayWiki
An analytical approach to bistable biological circuit discrimination using real algebraic geometry 
Abstract 
Biomolecular circuits with two distinct an … Biomolecular circuits with two distinct and stable steady states have been identified as essential components in a wide range of biological networks, with a variety of mechanisms and topologies giving rise to their important bistable property. Understanding the differences between circuit implementations is an important question, particularly for the synthetic biologist faced with determining which bistable circuit design out of many is best for their specific application. In this work we explore the applicability of Sturm's theorem—a tool from nineteenthcentury real algebraic geometry—to comparing ‘functionally equivalent’ bistable circuits without the need for numerical simulation. We first consider two genetic toggle variants and two different positive feedback circuits, and show how specific topological properties present in each type of circuit can serve to increase the size of the regions of parameter space in which they function as switches. We then demonstrate that a single competitive monomeric activator added to a purely monomeric (and otherwise monostable) mutual repressor circuit is sufficient for bistability. Finally, we compare our approach with the Routh–Hurwitz method and derive consistent, yet more powerful, parametric conditions. The predictive power and ease of use of Sturm's theorem demonstrated in this work suggest that algebraic geometric techniques may be underused in biomolecular circuit analysis. nderused in biomolecular circuit analysis. +


Authors  Dan SiegalGaskins, Elisa Franco, Tiffany Zhou, Richard M. Murray + 
Funding  Molecular Programming Architectures, Abstractions, Algorithms, and Applications + 
ID  2015l + 
Source  J. R. Soc. Interface 2015 12 20150288; DOI: 10.1098/rsif.2015.0288. + 
Tag  sfzm15jrsi + 
Title  An analytical approach to bistable biological circuit discrimination using real algebraic geometry + 
Type  Journal paper + 
Categories  Papers 
Modification date This property is a special property in this wiki.

11 June 2016 20:57:52 + 
URL This property is a special property in this wiki.

http://rsif.royalsocietypublishing.org/content/12/108/20150288.long + 
hide properties that link here 
An analytical approach to bistable biological circuit discrimination using real algebraic geometry +  Title 
