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Drug-resistant variants of thymidylate synthase (TS) can potentially be used in gene therapy applications to decrease the myelosuppressive side effects of TS-directed anticancer agents or to select genetically modified cells in vivo. Mutations of proline 303 of human TS confer resistance to TS-directed fluoropyrimidines and antifolates (). We generated the corresponding variants in Escherichia coli TS (ecTS), position 254, to better understand the mechanism by which mutations at this residue confer resistance. In addition, because ecTS is intrinsically resistant to several antifolates when compared with human TS, we suspected that greater resistance could be achieved with the bacterial enzyme. The P254L enzyme conferred >100-fold resistance to both raltitrexed and 5-fluoro-2'-deoxyuridine (FdUrd) compared with wild-type ecTS. Four additional mutants (P254F, P254S, P254G, and P254D), each of which complemented growth of a TS-deficient cell line, were generated, isolated, and characterized. Steady-state values of K(m) for dUMP and k(cat) were not substantially different among the variants and were comparable with the wild-type values, but K(m) for methylenetetrahydrofolate (CH(2)H(4)PteGlu) was >10-fold higher for P254D. Values of k(on) and k(off) for nucleotide binding, which were obtained by stopped-flow spectroscopy, were virtually unchanged among the mutants. Drastic differences were observed for CH(2)H(4)PteGlu binding, with K(d) values >15-fold higher than observed with the wild-type enzyme; surprisingly, the proposed isomerization reaction that is very evident for the wild-type enzyme is not observed with P254S. The decrease in affinity for CH(2)H(4)PteGlu correlates well with K(i) values obtained for three TS-directed inhibitors. These results show that mutations at Pro-254 specifically affect the initial binding interactions between enzyme and cofactor and also alter the ability of the mutant enzymes to undergo conformational changes that occur on ternary complex formation. The crystal structure of P254S was determined at 1.5 A resolution and is the most precise structure of TS available. When compared with wild-type TS, the structure shows local conformational changes affecting mostly Asp-253; its carbonyl is rotated approximately 40 degrees, and the side chain forms an ion pair with Arg-225.

This paper introduces the notion of Lipschitz stability for nonlinear nth order matrix Lyapunov differential systems and gives sufficient conditions for Lipschitz stability. We develop variation of parameters formula for the solution of the nonhomogeneous nonlinear nth order matrix Lyapunov differential system. We study observability and controllability of a special system of nth order nonlinear Lyapunov systems.

Nonlinear evolution equations based upon moments of the aerosol size distribution function are solved asymptotically for constant-rate aerosol reactors (i.e., where condensible monomer is added at a constant rate) operating in the free-molecular limit. The governing equations are nondimensionalized and a large parameter that controls nucleation behavior is identified. Asymptotic analyses are developed in terms of this parameter. Comparison of the asymptotic results with direct numerical integration of the governing equations is favorable. The asymptotic results provide a simplified analytical approach to estimating average particle sizes, particle number densities, and peak supersaturation values for constant-rate aerosol reactors.