• Importance of randomness in biological networks: A random matrix analysis

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      https://www.ias.ac.in/article/fulltext/pram/084/02/0285-0293

    • Keywords

       

      Network theory; biological systems; spectra of matrices

    • Abstract

       

      Random matrix theory, initially proposed to understand the complex interactions in nuclear spectra, has demonstrated its success in diverse domains of science ranging from quantum chaos to galaxies. We demonstrate the applicability of random matrix theory for networks by providing a new dimension to complex systems research. We show that in spite of huge differences these interaction networks, representing real-world systems, posses from random matrix models, the spectral properties of the underlying matrices of these networks follow random matrix theory bringing them into the same universality class. We further demonstrate the importance of randomness in interactions for deducing crucial properties of the underlying system. This paper provides an overview of the importance of random matrix framework in complex systems research with biological systems as examples.

    • Author Affiliations

       

      Sarika Jalan1 2

      1. Complex Systems Lab, Discipline of Physics, Indian Institute of Technology Indore, IET-DAVV Campus, Khandawa Road, Indore 452 017, India
      2. Centre for Bio-Sciences and Bio-Engineering, Indian Institute of Technology Indore, IET-DAVV Campus, Khandawa Road, Indore 452 017, India
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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