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      A Max-Plus Model of Ribosome Dynamics During mRNA Translation

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          Abstract

          We examine the dynamics of the translation stage of cellular protein production, in which ribosomes move uni-directionally along mRNA strands building an amino acid chain as they go. We describe the system using a timed event graph - a class of Petri net useful for studying discrete events which take a finite time. We use max-plus algebra to describe a deterministic version of the model, calculating the protein production rate and density of ribosomes on the mRNA. We find exact agreement between these analytical results and numerical simulations of the deterministic case.

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          Author and article information

          Journal
          2011-05-18
          Article
          1105.3580
          1f27e098-889c-4dfb-b04d-b3edc52d74bc

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          q-bio.QM math.RA

          Quantitative & Systems biology,Algebra
          Quantitative & Systems biology, Algebra

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