Stochastic approaches in systems biology

M Ullah, O Wolkenhauer - Wiley Interdisciplinary Reviews …, 2010 - Wiley Online Library
The discrete and random occurrence of chemical reactions far from thermodynamic
equilibrium, and low copy numbers of chemical species, in systems biology necessitate …

Advances and challenges in logical modeling of cell cycle regulation: perspective for multi-scale, integrative yeast cell models

M Barberis, RG Todd, L van der Zee - Yeast Research, 2017 - academic.oup.com
The eukaryotic cell cycle is robustly designed, with interacting molecules organized within a
definite topology that ensures temporal precision of its phase transitions. Its underlying …

Investigating the two-moment characterisation of subcellular biochemical networks

M Ullah, O Wolkenhauer - Journal of theoretical biology, 2009 - Elsevier
While ordinary differential equations (ODEs) form the conceptual framework for modelling
many cellular processes, specific situations demand stochastic models to capture the …

Synchronized dynamics and non-equilibrium steady states in a stochastic yeast cell-cycle network

H Ge, H Qian, M Qian - Mathematical biosciences, 2008 - Elsevier
Applying the mathematical circulation theory of Markov chains, we investigate the
synchronized stochastic dynamics of a discrete network model of yeast cell-cycle regulation …

[PDF][PDF] Моделирование регуляторных сетей для выявления противоопухолевых мишеней на примере рака молочной железы

ОН Коборова, ДА Филимонов… - Информационный …, 2009 - researchgate.net
Актуальность поиска новых мишеней противоопухолевых препаратов обусловлена
низкой эффективностью существующей терапии. Нами предложен и реализован в …

Bridging the gap between deterministic and stochastic modeling with automatic scaling and conversion

P Wang - 2008 - vtechworks.lib.vt.edu
During the past decade, many successful deterministic models of macromolecular regulatory
networks have been built. Deterministic simulations of these models can show only average …

[PDF][PDF] Advances and challenges in logical modeling of cell cycle regulation: perspective for multi

M Barberis, RG Todd, L van der Zee - Mol Biosyst, 2009 - cyberleninka.org
The eukaryotic cell cycle is robustly designed, with interacting molecules organized within a
definite topology that ensures temporal precision of its phase transitions. Its underlying …

[图书][B] Linking a mitotic oscillator to the extracellular environment: The importance of protein network structure and multisite phosphorylation

RC Vargo - 2009 - search.proquest.com
This thesis work contributes the first vital steps in the development of a biologically based
proliferation model to advance a bioartificial tissue regeneration model. Specifically, this …