Modeling the topological organization of cellular processes

JL Giavitto, O Michel - BioSystems, 2003 - Elsevier
The cell as a dynamical system presents the characteristics of having a dynamical structure.
That is, the exact phase space of the system cannot be fixed before the evolution and …

A topological framework for the specification and the simulation of discrete dynamical systems

A Spicher, O Michel, JL Giavitto - International Conference on Cellular …, 2004 - Springer
MGS is an experimental programming language for the modeling and the simulation of
discrete dynamical systems. The modeling approach is based on the explicit specification of …

Declarative modeling of a neurulation-like process

A Spicher, O Michel - BioSystems, 2007 - Elsevier
MGS is an experimental programming language dedicated to the modeling and the
simulation of a special kind of discrete dy-namical systems. Dynamical systems with a …

Integrated regulatory networks (IRNs): Spatially organized biochemical modules

JL Giavitto, H Klaudel, F Pommereau - Theoretical Computer Science, 2012 - Elsevier
In this paper, we aim at modeling and analyzing the regulation processes in multi-cellular
biological systems, in particular, tissues. The modeling framework is a generalization of …

Modular modeling of cellular systems with ProMoT/Diva

M Ginkel, A Kremling, T Nutsch, R Rehner… - …, 2003 - academic.oup.com
Motivation: Need for software to setup and analyze complex mathematical models for
cellular systems in a modular way, that also integrates the experimental environment of the …

[HTML][HTML] The dynamic systems approach to control and regulation of intracellular networks

O Wolkenhauer, M Ullah, P Wellstead, KH Cho - FEBS letters, 2005 - Elsevier
Systems theory and cell biology have enjoyed a long relationship that has received renewed
interest in recent years in the context of systems biology. The term 'systems' in systems …

Multi-scale spatio-temporal modeling: lifelines of microorganisms in bioreactors and tracking molecules in cells

A Lapin, M Klann, M Reuss - Biosystems Engineering Ii: Linking Cellular …, 2010 - Springer
Agent-based models are rigorous tools for simulating the interactions of individual entities,
such as organisms or molecules within cells and assessing their effects on the dynamic …

Computational modeling in systems biology

RR Vallabhajosyula, A Raval - Systems Biology in Drug Discovery and …, 2010 - Springer
Interactions among cellular constituents play a crucial role in overall cellular function and
organization. These interactions can be viewed as being complementary to the usual “parts …

Complexity and modularity of intracellular networks: a systematic approach for modelling and simulation

ML Blinov, O Ruebenacker, II Moraru - IET systems biology, 2008 - IET
Assembly of quantitative models of large complex networks brings about several challenges.
One of them is the combinatorial complexity, where relatively few signalling molecules can …

Modeling languages for biochemical network simulation: Reaction vs equation based approaches

W Wiechert, S Noack, A Elsheikh - Biosystems Engineering II: Linking …, 2010 - Springer
Biochemical network modeling and simulation is an essential task in any systems biology
project. The systems biology markup language (SBML) was established as a standardized …