A study on the structural properties and the solution of the Chemical Master Equation (Rapporti tecnici/preprint/working paper)

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Label
  • A study on the structural properties and the solution of the Chemical Master Equation (Rapporti tecnici/preprint/working paper) (literal)
Anno
  • 2012-01-01T00:00:00+01:00 (literal)
Alternative label
  • Alessandro Borri, Francesco Carravetta, Gabriella Mavelli, Pasquale Palumbo (2012)
    A study on the structural properties and the solution of the Chemical Master Equation
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Alessandro Borri, Francesco Carravetta, Gabriella Mavelli, Pasquale Palumbo (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#altreInformazioni
  • IASI Research Report n. 12-10 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Istituto di Analisi dei Sistemi ed Informatica \"Antonio Ruberti\", Consiglio Nazionale delle Ricerche (literal)
Titolo
  • A study on the structural properties and the solution of the Chemical Master Equation (literal)
Abstract
  • The Chemical Master Equation (CME) is a well-known tool for studying (bio)chemical processes involving few copies of the species involved, because it is a framework able to capture random behaviors that are neglected by deterministic approaches based on the concentration dynamics. In this work, we investigate some structural properties of CMEs and their solutions, with a particular focus on the efficient computation of the stationary distribution. We introduce a generalized notion of one-step process, which results in a sparse dynamical matrix describing the collection of the scalar CMEs, also showing a recursive block-tridiagonal structure. (literal)
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