H2020Индивидуална стипендия2016–2019

SFSysCellBio · Slow-Fast Systems in Cellular Biology

„Хоризонт 2020“ — Действия „Мария Склодовска-Кюри“

Период: 2016-08-30 → 2019-08-29
Финансиране от ЕС: 178 157 €
Участници: 1
Схема: MSCA-IF-EF-ST

Линиите свързват координатора с партньорите.

Накратко на български

Математическите модели анализират процеси като клетъчния цикъл и деленето, като използват методи за системи с различни времеви мащаби. Това помага за по-доброто разбиране на сложните механизми и динамиката на функциониране на клетъчните процеси.

Този кратък обзор е генериран от изкуствен интелект

Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.

Резултати накратко

Slow-Fast Systems in Cellular Biology

Biologists have identified a wealth of molecular components and regulatory mechanisms underlying the control of the fundamental cellular processes such as cell differentiation, cell cycle, and cell death. A multitude of signalling pathways controlling the response of cells to environmental variability or stimuli is critical for these processes. Mathematical modelling has emerged as an important tool to handle the overwhelmingly structural complexity of cellular processes and to gain better understanding of their functioning and dynamics. This project was devoted to the mathematical analysis of ODE models arising in cell biology. Pertinent mathematical questions of biological interest are: existence and stability of equilibria, periodic oscillations, switching phenomena, and bifurcations, i.e., changes of these dynamical properties as key parameter vary. The approach in this project relied strongly on novel dynamical systems methods for systems with multiple time scale dynamics, known as geometric singular perturbation theory (GSPT). These methods have been successfully used in many areas of mathematical physiology, e.g. mathematical neuroscience and calcium signaling. However, slow-fast analysis and GSPT of mathematical models of the cell cycle and for signaling pathways is much less established.

Текст от CORDIS, на английски · Данни: CORDIS, © Европейски съюз

Цел на проекта

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.

Оригинален текст от CORDIS (на английски).

Участници

TECHNISCHE UNIVERSITAET WIEN · WienКоординаторАвстрия