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 …

Predictive power of cell-to-cell variability

B Li, L You - Quantitative Biology, 2013 - Springer
Much of our current knowledge of biology has been constructed based on population-
average measurements. However, advances in single-cell analysis have demonstrated the …

Observability of switched Boolean control networks using algebraic forms.

Y Yang, Y Liu, J Lou, Z Wang - Discrete & Continuous …, 2021 - search.ebscohost.com
This paper addresses the observability of a switched Boolean control network (SBCN) using
semi-tensor product (STP) of matrices. First, the observability of the SBCN is determined …

Global stability and stabilization of switched Boolean network with impulsive effects

H Chen, J Sun - Applied Mathematics and Computation, 2013 - Elsevier
The present paper investigates the global stability and stabilization of switched Boolean
network with impulsive effects. By using the semi-tensor product, the algebraic form of the …

Deep neural networks for solving large linear systems arising from high-dimensional problems

Y Gu, MK Ng - SIAM Journal on Scientific Computing, 2023 - SIAM
This paper studies deep neural networks for solving extremely large linear systems arising
from high-dimensional problems. Because of the curse of dimensionality, it is expensive to …

Dimension reduction of large sparse AND-NOT network models

A Veliz-Cuba, B Aguilar, R Laubenbacher - Electronic Notes in Theoretical …, 2015 - Elsevier
In this manuscript we propose and implement a dimension reduction algorithm of AND-NOT
networks for the purpose of steady state computation. Our method of network reduction …

OCT4 expression in human embryonic stem cells: spatio-temporal dynamics and fate transitions

LE Wadkin, S Orozco-Fuentes, I Neganova… - Physical …, 2021 - iopscience.iop.org
The improved in vitro regulation of human embryonic stem cell (hESC) pluripotency and
differentiation trajectories is required for their promising clinical applications. The temporal …

Exact solving and sensitivity analysis of stochastic continuous time Boolean models

M Koltai, V Noel, A Zinovyev, L Calzone, E Barillot - BMC bioinformatics, 2020 - Springer
Abstract Background Solutions to stochastic Boolean models are usually estimated by
Monte Carlo simulations, but as the state space of these models can be enormous, there is …

[PDF][PDF] Deep neural networks for solving extremely large linear systems

Y Gu, MK Ng - arxiv preprint, 2022 - researchgate.net
In this paper, we study deep neural networks for solving extremely large linear systems
arising from physical relevant problems. Because of the curse of dimensionality, it is …

On perturbation bounds for the joint stationary distribution of multivariate Markov chain models

W Li, L Jiang, WK Ching, LB Cui - East Asian Journal on Applied …, 2013 - cambridge.org
Multivariate Markov chain models have previously been proposed in for studying dependent
multiple categorical data sequences. For a given multivariate Markov chain model, an …