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SFSysCellBio

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Cerrado

Slow Fast Systems in Cellular Biology

Mathematical modelling has emerged as an important tool to handle the structural complexity of cellular processes and to gain better understanding of their functioning and dynamics. We propose to develop methods for the mathemati... ver más

29/08/2019

TU WIEN

178K€

Presupuesto del proyecto: 178K€

Líder del proyecto

TECHNISCHE UNIVERSITAET WIEN No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Fecha límite participación Sin fecha límite de participación.

Financiación concedida El organismo H2020 notifico la concesión del proyecto el día 2019-08-29

MSCA-IF-2014-EF: Marie Skłodowska-Curie Individual F...

I+D

Cerrada hace 10 años

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Información adicional privada

No hay información privada compartida para este proyecto. Habla con el coordinador.

1 Participantes

TU WIEN

178.16K€ | Lider

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Duración del proyecto: 47 meses Fecha Inicio: 2015-08-31
Fecha Fin: 2019-08-29

Líder del proyecto

TECHNISCHE UNIVERSITAET WIEN No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Presupuesto del proyecto 178K€

Fecha límite de participación Sin fecha límite de participación.

Descripción del proyecto Mathematical modelling has emerged as an important tool to handle the structural complexity of cellular processes and to gain better understanding of their functioning and dynamics. We propose to develop methods for the mathematical analysis of ODE models arising in cell biology. We focus on models of great biomedical importance, i.e. cell division cycle, NF-kB signalling pathway, and the p53 system. Pertinent mathematical questions of biological interest are: existence and stability of equilibria, periodic oscillations, switching phenomena, and bifurcations. Often the analysis of such models relies heavily on computational approaches but qualitative analysis is also very important. Detailed models of individual pathways or the cell division cycle are too large for theoretical analysis. However, there is evidence from simulations that often only a small or moderate number of components of a large systems play essential roles, while other parts have almost negligible roles. This allows the systematic use of perturbation methods. In particular slow-fast dynamical systems, i.e. systems with solutions varying on very different timescales are abundant in biology in general and in cellular biology in particular. The approach in this project relies strongly on novel dynamical systems methods for systems with multiple time scale dynamics, known as geometric singular perturbation theory (GSPT). Interestingly, the models under investigation do not have the standard form covered by the existing theory. Due to these difficulties GSPT has not been applied systematically in this area. An extended version of GSPT - using hierarchies of local approximations - will be developed for the specific models. The project will lead to better understanding of cell-cyle and signaling pathway models. These issues and the methods to resolve them are of great importance also for other models in cellular biology and also for slow-fast dynamical systems in general.

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