Dynamical systems approach to endothelial heterogeneity

ER Regan, WC Aird - Circulation research, 2012 - Am Heart Assoc
Endothelial cells display remarkable phenotypic heterogeneity. An important goal is to
elucidate the scope and mechanisms of endothelial heterogeneity and to use this …

[HTML][HTML] Recent development and biomedical applications of probabilistic Boolean networks

P Trairatphisan, A Mizera, J Pang, AA Tantar… - Cell communication and …, 2013 - Springer
Probabilistic Boolean network (PBN) modelling is a semi-quantitative approach widely used
for the study of the topology and dynamic aspects of biological systems. The combined use …

[HTML][HTML] Modeling the cell cycle: why do certain circuits oscillate?

JE Ferrell, TYC Tsai, Q Yang - Cell, 2011 - cell.com
Computational modeling and the theory of nonlinear dynamical systems allow one to not
simply describe the events of the cell cycle, but also to understand why these events occur …

Exploring the roles of noise in the eukaryotic cell cycle

S Kar, WT Baumann, MR Paul… - Proceedings of the …, 2009 - National Acad Sciences
The DNA replication–division cycle of eukaryotic cells is controlled by a complex network of
regulatory proteins, called cyclin-dependent kinases, and their activators and inhibitors …

Cancer as robust intrinsic state of endogenous molecular-cellular network shaped by evolution

P Ao, D Galas, L Hood, X Zhu - Medical hypotheses, 2008 - Elsevier
An endogenous molecular--cellular network for both normal and abnormal functions is
assumed to exist. This endogenous network forms a nonlinear stochastic dynamical system …

A model of yeast cell‐cycle regulation based on multisite phosphorylation

D Barik, WT Baumann, MR Paul, B Novak… - Molecular systems …, 2010 - embopress.org
In order for the cell's genome to be passed intact from one generation to the next, the events
of the cell cycle (DNA replication, mitosis, cell division) must be executed in the correct …

[HTML][HTML] Steady state analysis of Boolean molecular network models via model reduction and computational algebra

A Veliz-Cuba, B Aguilar, F Hinkelmann… - BMC …, 2014 - Springer
Background A key problem in the analysis of mathematical models of molecular networks is
the determination of their steady states. The present paper addresses this problem for …

Cancer as robust intrinsic state shaped by evolution: a key issues review

R Yuan, X Zhu, G Wang, S Li, P Ao - Reports on Progress in …, 2017 - iopscience.iop.org
Cancer is a complex disease: its pathology cannot be properly understood in terms of
independent players—genes, proteins, molecular pathways, or their simple combinations …

[HTML][HTML] Boolean model of growth signaling, cell cycle and apoptosis predicts the molecular mechanism of aberrant cell cycle progression driven by hyperactive PI3K

H Sizek, A Hamel, D Deritei, S Campbell… - PLoS computational …, 2019 - journals.plos.org
The PI3K/AKT signaling pathway plays a role in most cellular functions linked to cancer
progression, including cell growth, proliferation, cell survival, tissue invasion and …

Global view of bionetwork dynamics: adaptive landscape

P Ao - Journal of Genetics and Genomics, 2009 - Elsevier
Based on recent work, I will give a nontechnical brief review of a powerful quantitative
concept in biology, adaptive landscape, initially proposed by S. Wright over 70 years ago …