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Symbolic detection of steady states of autonomous differential biological systems by transformation into block triangular form

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Abstract

In this paper we propose a method for transforming a square polynomial set into block triangular form by using Tarjan’s algorithm. The proposed method is then applied to symbolic detection of steady states of autonomous differential biological systems which are usually sparse systems with a large number of loosely coupling variables. Two biological systems of 12 and 43 variables respectively are studied to illustrate the effectiveness of the proposed method.

Original languageEnglish
Title of host publicationAlgorithms for Computational Biology - 5th International Conference, AlCoB 2018, Proceedings
EditorsCarlos Martin-Vide, Jesper Jansson, Miguel A. Vega-Rodriguez
PublisherSpringer Verlag
Pages115-127
Number of pages13
ISBN (Print)9783319919379
DOIs
StatePublished - 2018
Event5th International Conference on Algorithms for Computational Biology, AlCoB 2018 - Hong Kong, China
Duration: 25 Jun 201826 Jun 2018

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10849 LNBI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference5th International Conference on Algorithms for Computational Biology, AlCoB 2018
Country/TerritoryChina
CityHong Kong
Period25/06/1826/06/18

Keywords

  • Block triangular form
  • Differential biological system
  • Sparsity
  • Steady state
  • Systems biology

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