IDEAS home Printed from https://ideas.repec.org/a/hin/complx/2647164.html
   My bibliography  Save this article

Interpolative Boolean Networks

Author

Listed:
  • Vladimir Dobrić
  • Pavle Milošević
  • Aleksandar Rakićević
  • Bratislav Petrović
  • Ana Poledica

Abstract

Boolean networks are used for modeling and analysis of complex systems of interacting entities. Classical Boolean networks are binary and they are relevant for modeling systems with complex switch-like causal interactions. More descriptive power can be provided by the introduction of gradation in this model. If this is accomplished by using conventional fuzzy logics, the generalized model cannot secure the Boolean frame. Consequently, the validity of the model’s dynamics is not secured. The aim of this paper is to present the Boolean consistent generalization of Boolean networks, interpolative Boolean networks. The generalization is based on interpolative Boolean algebra, the -valued realization of Boolean algebra. The proposed model is adaptive with respect to the nature of input variables and it offers greater descriptive power as compared with traditional models. For illustrative purposes, IBN is compared to the models based on existing real-valued approaches. Due to the complexity of the most systems to be analyzed and the characteristics of interpolative Boolean algebra, the software support is developed to provide graphical and numerical tools for complex system modeling and analysis.

Suggested Citation

  • Vladimir Dobrić & Pavle Milošević & Aleksandar Rakićević & Bratislav Petrović & Ana Poledica, 2017. "Interpolative Boolean Networks," Complexity, Hindawi, vol. 2017, pages 1-15, October.
  • Handle: RePEc:hin:complx:2647164
    DOI: 10.1155/2017/2647164
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/8503/2017/2647164.pdf
    Download Restriction: no

    File URL: http://downloads.hindawi.com/journals/8503/2017/2647164.xml
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2017/2647164?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Melody K Morris & Julio Saez-Rodriguez & David C Clarke & Peter K Sorger & Douglas A Lauffenburger, 2011. "Training Signaling Pathway Maps to Biochemical Data with Constrained Fuzzy Logic: Quantitative Analysis of Liver Cell Responses to Inflammatory Stimuli," PLOS Computational Biology, Public Library of Science, vol. 7(3), pages 1-20, March.
    2. Geoff Easton & Roger J. Brooks & Kristina Georgieva & Ian Wilkinson, 2008. "Understanding The Dynamics Of Industrial Networks Using Kauffman Boolean Networks," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 11(01), pages 139-164.
    3. Barbara Coluzzi & Michael Ghil & Stéphane Hallegatte & Gerard Weisbuch, 2011. "Boolean Delay Equations On Networks In Economics And The Geosciences," Post-Print hal-00716516, HAL.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Rohith Palli & Mukta G Palshikar & Juilee Thakar, 2019. "Executable pathway analysis using ensemble discrete-state modeling for large-scale data," PLOS Computational Biology, Public Library of Science, vol. 15(9), pages 1-21, September.
    2. Stéphane Hallegatte, 2014. "Modeling the Role of Inventories and Heterogeneity in the Assessment of the Economic Costs of Natural Disasters," Risk Analysis, John Wiley & Sons, vol. 34(1), pages 152-167, January.
    3. Hongwei Shao & Tao Peng & Zhiwei Ji & Jing Su & Xiaobo Zhou, 2013. "Systematically Studying Kinase Inhibitor Induced Signaling Network Signatures by Integrating Both Therapeutic and Side Effects," PLOS ONE, Public Library of Science, vol. 8(12), pages 1-16, December.
    4. Johan Kerkhofs & Liesbet Geris, 2015. "A Semiquantitative Framework for Gene Regulatory Networks: Increasing the Time and Quantitative Resolution of Boolean Networks," PLOS ONE, Public Library of Science, vol. 10(6), pages 1-23, June.
    5. Evan J Molinelli & Anil Korkut & Weiqing Wang & Martin L Miller & Nicholas P Gauthier & Xiaohong Jing & Poorvi Kaushik & Qin He & Gordon Mills & David B Solit & Christine A Pratilas & Martin Weigt & A, 2013. "Perturbation Biology: Inferring Signaling Networks in Cellular Systems," PLOS Computational Biology, Public Library of Science, vol. 9(12), pages 1-23, December.
    6. Andreas Groth & Patrice Dumas & Michael Ghil & Stéphane Hallegatte, 2015. "Impacts of Natural Disasters on a Dynamic Economy," Post-Print hal-01678074, HAL.
    7. Ioannis N Melas & Regina Samaga & Leonidas G Alexopoulos & Steffen Klamt, 2013. "Detecting and Removing Inconsistencies between Experimental Data and Signaling Network Topologies Using Integer Linear Programming on Interaction Graphs," PLOS Computational Biology, Public Library of Science, vol. 9(9), pages 1-19, September.
    8. He, Kehan & Mi, Zhifu & Coffman, D'Maris & Guan, Dabo, 2022. "Using a linear regression approach to sequential interindustry model for time-lagged economic impact analysis," Structural Change and Economic Dynamics, Elsevier, vol. 62(C), pages 399-406.
    9. David C. Earnest & Ian F. Wilkinson, 2018. "An agent based model of the evolution of supplier networks," Computational and Mathematical Organization Theory, Springer, vol. 24(1), pages 112-144, March.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:complx:2647164. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.