Abstract
As a paradigm for modeling gene regulatory networks, synchronous or asynchronous probabilistic Boolean networks (PBNs) provide us an effective tool to design therapeutic intervention strategies. However, most of the previous works focused on the former and only few studied the latter. This paper deals with an optimal control problem in a generalized asynchronous PBN by applying the theory on semi-Markov decision processes. Specifically, we first formulate a control model for a generalized asynchronous PBN as a first passage model for semi-Markov decision processes and then solve the corresponding optimal control problem by choosing optimal constituent Boolean networks in the asynchronous PBN such that the risk probability that the first passage time to some undesirable states associated with disease does not exceed a certain time is minimal. Numerical simulations are also provided to demonstrate the effectiveness of the proposed optimality approach.
Keywords: First passage model, generalized asynchronous probabilistic boolean network, optimal control, semi-markov decision process, gene network, therapeutic intervention policies, algorithm, dynamics, regulatory networks
Current Bioinformatics
Title: Optimal Control for Generalized Asynchronous Probabilistic Boolean Networks †
Volume: 7 Issue: 1
Author(s): Qiuli Liu, Xianping Guo and Tianshou Zhou
Affiliation:
Keywords: First passage model, generalized asynchronous probabilistic boolean network, optimal control, semi-markov decision process, gene network, therapeutic intervention policies, algorithm, dynamics, regulatory networks
Abstract: As a paradigm for modeling gene regulatory networks, synchronous or asynchronous probabilistic Boolean networks (PBNs) provide us an effective tool to design therapeutic intervention strategies. However, most of the previous works focused on the former and only few studied the latter. This paper deals with an optimal control problem in a generalized asynchronous PBN by applying the theory on semi-Markov decision processes. Specifically, we first formulate a control model for a generalized asynchronous PBN as a first passage model for semi-Markov decision processes and then solve the corresponding optimal control problem by choosing optimal constituent Boolean networks in the asynchronous PBN such that the risk probability that the first passage time to some undesirable states associated with disease does not exceed a certain time is minimal. Numerical simulations are also provided to demonstrate the effectiveness of the proposed optimality approach.
Export Options
About this article
Cite this article as:
Liu Qiuli, Guo Xianping and Zhou Tianshou, Optimal Control for Generalized Asynchronous Probabilistic Boolean Networks †, Current Bioinformatics 2012; 7 (1) . https://dx.doi.org/10.2174/157489312799304486
DOI https://dx.doi.org/10.2174/157489312799304486 |
Print ISSN 1574-8936 |
Publisher Name Bentham Science Publisher |
Online ISSN 2212-392X |
- Author Guidelines
- Graphical Abstracts
- Fabricating and Stating False Information
- Research Misconduct
- Post Publication Discussions and Corrections
- Publishing Ethics and Rectitude
- Increase Visibility of Your Article
- Archiving Policies
- Peer Review Workflow
- Order Your Article Before Print
- Promote Your Article
- Manuscript Transfer Facility
- Editorial Policies
- Allegations from Whistleblowers
Related Articles
-
Trace and Minor Element Concentrations in Aqueous Extract of the Herbal Medicinal Plants Tamarindus indica and Hibiscus sabdiffora
Current Nutrition & Food Science Image Integration Procedures in Multisensory Medical Images: A Comprehensive Survey of the State-of-the-art Paradigms
Current Medical Imaging Management of Vulvar Cancer
Reviews on Recent Clinical Trials Characterization, ACE Inhibitory and Antioxidative Properties of Peptide Fractions Obtained from White Shrimp (<i>Litopenaeus vannamei</i>)
Current Bioactive Compounds Feature Selection Using Information Distance Measure for Gene Expression Data
Current Proteomics The Structure and Main Functions of Aminopeptidase N
Current Medicinal Chemistry Synthesis and Preliminary Biological Evaluation of New Heterocyclic Carboxamide Models
Letters in Drug Design & Discovery Potential Applications of <i>Sarcopoterium Spinosum</i> as Medicinal Plants: Overview and Future Trends
Current Traditional Medicine Carbohydrate Hydrazones and Osazones as Organic Raw Materials for Nucleosides and Heterocycles, Revisted and Updated
Current Organic Chemistry Challenges in Mass Spectrometry Based Targeted Metabolomics
Current Molecular Medicine Concept of Comprehensive Treatment for Osteoarthritis (OA)
Current Medicinal Chemistry - Immunology, Endocrine & Metabolic Agents Metabolism of Dietary Flavonoids in Liver Microsomes
Current Drug Metabolism Is There Anybody in There? On The Mechanisms of Wall Crossing of Cell Penetrating Peptides
Current Protein & Peptide Science Revision of the Synthesis and Pharmacological Activity of a Reported Translation Inhibitor
Anti-Cancer Agents in Medicinal Chemistry HPLC and MS Analysis for the Identification and Characterisation of Peptides Presented in the Context of the Non-Classical Human Leukocytes Antigen (HLA) Class I Molecule HLA-E
Current Pharmaceutical Design β-Glucuronidase Inhibitory Studies on Coumarin Derivatives
Medicinal Chemistry Current Advances in L-DOPA and DOPA-Peptidomimetics: Chemistry, Applications and Biological Activity
Current Medicinal Chemistry New Anthocyanins from Black Elderberry of Inhibitory Potential Revealed by Mass Spectrometry
The Natural Products Journal Potential Applications of Bacterial Cellulose in Environmental and Pharmaceutical Sectors
Current Pharmaceutical Design Botulinum Toxin: Pharmacology and Clinical Developments: A Literature Review
Medicinal Chemistry