Title
Fundamental limits on performance of autocatalytic pathways with chain topologies
Abstract
In this paper, we develop some basic principles to study dynamical networks and exploit their structural properties in order to characterize their existing hard limits and essential tradeoffs. Our main focus is on an important class of interconnected network of dynamical systems so called autocatalytic networks. In an interconnected dynamical system with autocatalytic structure, the system's output is necessary to catalyze its own production. We study cascade interconnection of autocatalytic pathways with chain topologies. It is shown that whenever autocatalytic feedbacks are active in all pathways, some fundamental tradeoffs between transient behavior of the network and its net production emerges. We use glycolysis pathway as our motivating example and develop our network models around this canonical model.
Year
DOI
Venue
2013
10.1109/MED.2013.6608764
Mediterranean Conference on Control and Automation
Keywords
Field
DocType
glycolysis pathway,network topology,biochemistry,production,mathematical model,catalysis,topology,control systems
Computer science,Control theory,Network topology,Control engineering,Canonical model,Dynamical systems theory,Cascade,Interconnection,Dynamical system,Network model,Autocatalysis
Conference
ISSN
Citations 
PageRank 
2325-369X
1
0.37
References 
Authors
3
2
Name
Order
Citations
PageRank
Milad Siami112215.65
Nader Motee218128.18