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.
A study on the structural properties and the solution of the Chemical Master Equation
Alessandro Borri;Francesco Carravetta;Gabriella Mavelli;Pasquale Palumbo
2012
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
