NFkB model M(14,25,28) - Lipniacky's NFkB model
This is a model of NFkB pathway functioning
from hierarchy of models of decreasing complexity,
created to demonstrate application of model reduction methods
proposed in
This a model from the article:
Robust simplifications of multiscale biochemical networks.
Radulescu O, Gorban A., Zinovyev A., Lilienbaum. A.
BMC Syst Biol2008:2:86
18854041,
Abstract:
BACKGROUND: Cellular processes such as metabolism, decision making in development and differentiation, signalling, etc., can be modeled as large networks of biochemical reactions. In order to understand the functioning of these systems, there is a strong need for general model reduction techniques allowing to simplify models without loosing their main properties. In systems biology we also need to compare models or to couple them as parts of larger models. In these situations reduction to a common level of complexity is needed. RESULTS: We propose a systematic treatment of model reduction of multiscale biochemical networks. First, we consider linear kinetic models, which appear as "pseudo-monomolecular" subsystems of multiscale nonlinear reaction networks. For such linear models, we propose a reduction algorithm which is based on a generalized theory of the limiting step that we have developed in 1. Second, for non-linear systems we develop an algorithm based on dominant solutions of quasi-stationarity equations. For oscillating systems, quasi-stationarity and averaging are combined to eliminate time scales much faster and much slower than the period of the oscillations. In all cases, we obtain robust simplifications and also identify the critical parameters of the model. The methods are demonstrated for simple examples and for a more complex model of NF-kappaB pathway. CONCLUSION: Our approach allows critical parameter identification and produces hierarchies of models. Hierarchical modeling is important in "middle-out" approaches when there is need to zoom in and out several levels of complexity. Critical parameter identification is an important issue in systems biology with potential applications to biological control and therapeutics. Our approach also deals naturally with the presence of multiple time scales, which is a general property of systems biology models.
This model is originally proposed by Lipniacki 2004 (Lipniacki T, Paszek P, Brasier AR, Luxon B, Kimmel M.(2004). Mathematical model of NF-kappaB regulatory module. J. Theor. Biol. 228 (2): 195-215. 15094015
The models are provided in CellDesigner v3.5
format. The name of the model M(x,y,z) should be
deciphered as following:
x - number of species
y - number of reactions
z - number of parameters
Simulation protocol:
The model can be simulated in CellDesigner
directly, or in any simulator supporting
events. The simulation period should be
set up in 20 hours (t=72000 sec). This model reproduces Figure 3b (M(14,25,28)) of the publication.
For additional information please contact
Andrei.Zinovyev at curie.fr
This model originates from BioModels Database: A Database of Annotated Published Models. It is copyright (c) 2005-2009 The BioModels Team.
For more information see the terms of use.
To cite BioModels Database, please use Le Novère N., Bornstein B., Broicher A., Courtot M., Donizelli M., Dharuri H., Li L., Sauro H., Schilstra M., Shapiro B., Snoep J.L., Hucka M. (2006) BioModels Database: A Free, Centralized Database of Curated, Published, Quantitative Kinetic Models of Biochemical and Cellular Systems Nucleic Acids Res., 34: D689-D691.