Converting differential-equation models of biological systems to membrane computing

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

This paper presents a method to convert the deterministic, continuous representation of a biological system by ordinary differential equations into a non-deterministic, discrete membrane computation. The dynamics of the membrane computation is governed by rewrite rules operating at certain rates. That has the advantage of applying accurately to small systems, and to expressing rates of change that are determined locally, by region, but not necessary globally. Such spatial information augments the standard differentiable approach to provide a more realistic model. A biological case study of the ligand-receptor network of protein TGF- β is used to validate the effectiveness of the conversion method. It demonstrates the sense in which the behaviours and properties of the system are better preserved in the membrane computing model, suggesting that the proposed conversion method may prove useful for biological systems in particular.

Original languageEnglish
Pages (from-to)219-226
Number of pages8
JournalBioSystems
Volume114
Issue number3
DOIs
Publication statusPublished - Dec 2013

Fingerprint

Membrane Computing
Biological Models
Biological systems
Biological Systems
Differential equations
Differential equation
Membranes
Membrane
Rate of change
Spatial Information
Ordinary differential equations
Receptor
Convert
Differentiable
Ordinary differential equation
Ligands
Model
Proteins
Protein
Necessary

Keywords

  • Ligand-receptor network of TGF-β
  • Membrane computing
  • Modelling biological systems
  • Ordinary differential equations
  • Rewrite rules

ASJC Scopus subject areas

  • Biochemistry, Genetics and Molecular Biology(all)
  • Applied Mathematics
  • Modelling and Simulation
  • Statistics and Probability

Cite this

Converting differential-equation models of biological systems to membrane computing. / Muniyandi, Ravie Chandren; Mohd. Zin, Abdullah; Sanders, J. W.

In: BioSystems, Vol. 114, No. 3, 12.2013, p. 219-226.

Research output: Contribution to journalArticle

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