Analytical theory of the control equations for protein synthesis in the Goodwin model
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The analytical expressions, and their convergent series expansions, for the time period and various time averages of the dynamical quantities are derived for the Goodwin model. The radius of convergence of the series expansions is also calculated. The changes necessary to fully take into account the restrictions on dynamical variable, following from the positivity of physical quantities of the model, for the statistical mechanical treatment of the system are also discussed.
KeywordsSeries Expansion Dynamical Variable Control Equation Dirac Delta Function Allowed Range
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