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Unformatted text preview: low pertain to the data found in fba_data.m.
(a) Find the maximum possible cell growth rate G⋆ , as well as optimal Lagrange multipliers for
the reaction rate limits. How sensitive is the maximum growth rate to the various reaction
(b) Essential genes and synthetic lethals. For simplicity, we’ll assume that each reaction is controlled by an associated gene, i.e., gene Gi controls reaction Ri . Knocking out a set of genes
associated with some reactions has the eﬀect of setting the reaction rates (or equivalently, the
associated v max entries) to zero, which of course reduces the maximum possible growth rate.
If the maximum growth rate becomes small enough or zero, it is reasonable to guess that
knocking out the set of genes will kill the cell. An essential gene is one that when knocked
out reduces the maximum growth rate below a given threshold Gmin . (Note that Gn is always
an essential gene.) A synthetic lethal is a pair of non-essential genes that when knocked out
reduces the maximum growth rate below the thresho...
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- Fall '13
- The Aeneid