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Unformatted text preview: Homework #7 ChE 361 Spring 2010 Cells convert nutrients such as glucose and oxygen into stored energy and basic cellular build- ing blocks such as amino and nucleic acids through a complex network of metabolic reactions. The stoichiometry of each reaction is often known from basic biochemistry. Steady-state mass balances on each intracellular species (reactants and products of these reactions) yield a lin- ear algebraic system Ax = b where A is a known matrix of stoichiometric coefficients, x is an unknown vector of reaction rates (also known as fluxes) and membrane transport rates for nutrients and product, and b is a known vector of measured transport rates. Each row of the matrix A corresponds to an intracellular species and each column corresponds to a particular reaction between these species. The stoichiometric model can be formulated as a linear pro- gram with growth rate maximization as the objective and solved to yield the unknown fluxes. The stoichiometric model used in this assignment accounts for primary metabolism in a yeast cell. The stoichiometric matrix is available on the course webpage as A1.dat along with two additional files that list the biochemical species and reactions in the model. A nonzero ele-additional files that list the biochemical species and reactions in the model....
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- Spring '10