Modeling gene regulatory networks with piecewise linear differential equations

Gebert J., Radde N., Weber G.

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, cilt.181, sa.3, ss.1148-1165, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 181 Sayı: 3
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.ejor.2005.11.044
  • Dergi Adı: EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1148-1165
  • Anahtar Kelimeler: computational biology, gene regulation, system of piecewise linear differential equations, dynamical system, optimization problem, PROBABILISTIC BOOLEAN NETWORKS, EXPRESSION
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

Microarray chips generate large amounts of data about a cell's state. In our work we want to analyze these data in order to describe the regulation processes within a cell. Therefore, we build a model which is capable of capturing the most relevant regulating interactions and present an approach how to calculate the parameters for the model from time-series data. This approach uses the discrete approximation method of least squares to solve a data fitting modeling problem. Furthermore, we analyze the features of our proposed system, i.e., which kinds of dynamical behaviors the system is able to show. (C) 2006 Elsevier B.V. All rights reserved.