Title
Phenotype phase plane analysis using interior point methods
Abstract
Phenotype phase plane analysis is a linear optimization procedure which can be used to study the value of the objective function (a desired phenotype) as two variables (external substrates) vary simultaneously. Existing methods for phenotype phase plane analysis are based on computing shadow prices as defined in classical linear programming duality theory. Since different bases may produce different “shadow prices”, we present here an alternative way to determine the phenotype phase plane based on so-called interior point methods, which unambiguously calculates the correct shadow prices. In addition, this work constitutes the first attempt at producing a mathematically rigorous algorithm to compute phenotype phase planes in a systematic way.
Year
DOI
Venue
2005
10.1016/j.compchemeng.2004.08.019
Computers & Chemical Engineering
Keywords
Field
DocType
Phenotype phase plane analysis,Optimization,Shadow prices
Shadow price,Mathematical optimization,Duality (mathematics),Phase plane,Linear programming,Interior point method,Mathematics,Phase plane analysis
Journal
Volume
Issue
ISSN
29
3
0098-1354
Citations 
PageRank 
References 
1
0.41
0
Authors
2
Name
Order
Citations
PageRank
Steven L. Bell1293.40
Bernhard O. Palsson275167.99