Phenotype phase plane analysis using interior point methods

Steven L. Bell*, Bernhard Palsson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)481-486
Number of pages6
JournalComputers and Chemical Engineering
Issue number3
Publication statusPublished - 15 Feb 2005

Other keywords

  • Optimization
  • Phenotype phase plane analysis
  • Shadow prices


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