Exact probabilities for the indeterminacy of complex networks as perceived through press perturbations

David Koslicki, Mark Novak

    Research output: Contribution to journalArticle

    2 Scopus citations

    Abstract

    We consider the goal of predicting how complex networks respond to chronic (press) perturbations when characterizations of their network topology and interaction strengths are associated with uncertainty. Our primary result is the derivation of exact formulas for the expected number and probability of qualitatively incorrect predictions about a system’s responses under uncertainties drawn form arbitrary distributions of error. Additional indices provide new tools for identifying which links in a network are most qualitatively and quantitatively sensitive to error, and for determining the volume of errors within which predictions will remain qualitatively determinate (i.e. sign insensitive). Together with recent advances in the empirical characterization of uncertainty in networks, these tools bridge a way towards probabilistic predictions of network dynamics.

    Original languageEnglish (US)
    Pages (from-to)877-909
    Number of pages33
    JournalJournal of Mathematical Biology
    Volume76
    Issue number4
    DOIs
    StatePublished - Mar 1 2018

      Fingerprint

    All Science Journal Classification (ASJC) codes

    • Modeling and Simulation
    • Agricultural and Biological Sciences (miscellaneous)
    • Applied Mathematics

    Cite this