Overview Statistic: PDF-Downloads (blue) and Frontdoor-Views (gray)
  • Treffer 6 von 18
Zurück zur Trefferliste

Complementing ODE-based System Analysis Using Boolean Networks Derived from an Euler-like Transformation

Zitieren Sie bitte immer diese URN: urn:nbn:de:0297-zib-56164
  • In this paper, we present a systematic transition scheme for a large class of ordinary differential equations (ODEs) into Boolean networks. Our transition scheme can be applied to any system of ODEs whose right hand sides can be written as sums and products of monotone functions. It performs an Euler-like step which uses the signs of the right hand sides to obtain the Boolean update functions for every variable of the corresponding discrete model. The discrete model can, on one hand, be considered as another representation of the biological system or, alternatively, it can be used to further the analysis of the original ODE model. Since the generic transformation method does not guarantee any property conservation, a subsequent validation step is required. Depending on the purpose of the model this step can be based on experimental data or ODE simulations and characteristics. Analysis of the resulting Boolean model, both on its own and in comparison with the ODE model, then allows to investigate system properties not accessible in a purely continuous setting. The method is exemplarily applied to a previously published model of the bovine estrous cycle, which leads to new insights regarding the regulation among the components, and also indicates strongly that the system is tailored to generate stable oscillations.

Volltext Dateien herunterladen

Metadaten exportieren

Metadaten
Verfasserangaben:Claudia Stötzel, Susanna RöblitzORCiD, Heike Siebert
Dokumentart:ZIB-Report
Datum der Erstveröffentlichung:23.09.2015
Schriftenreihe (Bandnummer):ZIB-Report (15-46)
ISSN:1438-0064
Verlagspublikation:appeared in PLOS ONE
DOI:https://doi.org/10.1371/journal.pone.0140954
Accept ✔
Diese Webseite verwendet technisch erforderliche Session-Cookies. Durch die weitere Nutzung der Webseite stimmen Sie diesem zu. Unsere Datenschutzerklärung finden Sie hier.