Mathematical and computational modeling in complex biological systems

Z Ji, K Yan, W Li, H Hu, X Zhu - BioMed research international, 2017 - Wiley Online Library
The biological process and molecular functions involved in the cancer progression remain
difficult to understand for biologists and clinical doctors. Recent developments in high …

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 …

Optimal control of Boolean control networks

E Fornasini, ME Valcher - IEEE Transactions on Automatic …, 2013 - ieeexplore.ieee.org
In this paper, we address the optimal control problem for Boolean control networks (BCNs).
We first consider the problem of finding the input sequences that minimize a given cost …

Controllability of probabilistic Boolean control networks based on transition probability matrices

Y Liu, H Chen, J Lu, B Wu - Automatica, 2015 - Elsevier
In this paper, we propose a new approach to investigate the controllability and reachability
of probabilistic Boolean control networks (PBCNs) with forbidden states. We first give a …

[图书][B] Probabilistic Boolean networks: the modeling and control of gene regulatory networks

I Shmulevich, ER Dougherty - 2010 - SIAM
It was around the period of World War II that Arturo Rosenblueth and Norbert Wiener were
taking the first steps in the direction of systems medicine. They formed an interesting pair …

State feedback stabilization for probabilistic Boolean networks

R Li, M Yang, T Chu - Automatica, 2014 - Elsevier
A probabilistic Boolean network (PBN) is a discrete-time system composed of a family of
Boolean networks (BNs) between which the PBN switches in a stochastic fashion. Studying …

Self-triggered control of probabilistic Boolean control networks: A reinforcement learning approach

P Bajaria, A Yerudkar, L Glielmo, C Del Vecchio… - Journal of the Franklin …, 2022 - Elsevier
In this work, strategies to devise an optimal feedback control of probabilistic Boolean control
networks (PBCNs) are discussed. Reinforcement learning (RL) based control is explored in …

On controllability and stabilizability of probabilistic Boolean control networks

Y Zhao, DZ Cheng - Science China Information Sciences, 2014 - Springer
The controllability of probabilistic Boolean control networks (PBCNs) is first considered.
Using the input-state incidence matrices of all models, we propose a reachability matrix to …

On detectability of probabilistic Boolean networks

B Wang, J Feng - Information Sciences, 2019 - Elsevier
This paper devotes to introducing and investigating the detectability of probabilistic Boolean
networks (PBNs). Two types of detectability, weak detectability and strong detectability, are …

Controllability of probabilistic Boolean control networks

F Li, J Sun - Automatica, 2011 - Elsevier
This paper deals with the controllability of probabilistic Boolean control networks. First, a
survey on the semi-tensor product approach to probabilistic Boolean networks is given …