On 3-Parameter Families of Piecewise Smooth Vector Fields in the Plane

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

SYNTHESIS AND BIOLOGICAL EVALUATION OF ANTITUMOR ALDOPHOSPHAMIDE ACETALS

Although the major metabolic pathways of cyclophosphamide are well established, the mechanism of antitumor drug selectivity is highly controversial. However, it is widely accepted that aldophosphamide, one of the primary metabolites, plays a crucial role in drug selectivity. In an attempt to gain a better understanding of the mechanism of selectivity of cyclophosphamide, a series of aldophosphamide analogs have been synthesized.^ The new analogs, unlike aldophosphamide, are relatively stable in neutral solution; however, they are converted rapidly to aldehydo intermediates in the presence of carboxylate esterase. Due to structural differences, these analogs may be classified into three different groups, arbitrarily designated as A, B, C, depending upon the facility with which the intermediate aldehydes form 4-hydroxy cyclic tautomers. The half-life of the aldehydo/4-hydroxy cyclic tautomeric mixture is longer for bis(acetoxy)aldophosphamide acetal I (a representative of group A), shorter for the n-ethyl analog III (B), and shortest for the N,N-dimethyl analog IV (C). The ratio of aldophosphamide: 4-hydroxycyclophosphamide at pseudoequilibrium is 1: 4 for compound I, 1: 2 for compound III and 0: 1 for compound IV. The therapeutic efficacy of these compounds are group A $>$ group B $>$ group C. It is apparent that the equilibrium position between the aldehydo and 4-hydroxy cyclic tautomers, which determines their stability, is a crucial determinant of both the cytotoxicity and antitumor selectivity. These findings, taken in conjunction with the aldehyde dehydrogenase selectivity hypothesis, may provide an explanation for the unique antitumor activity of cyclophosphamide. ^

Pseudoperiodic "Living" and/or controlled cationic ring-opening copolymerization of oxetane with tetrahydropyran:microstructure of polymers vs kinetics of chain growth

The "living" and/or controlled cationic ring-opening bulk copolymerization of oxetane (Ox) with tetrahydropyran (THP) (cyclic ether with no homopolymerizability) at 35°C was examined using ethoxymethyl-1 -oxoniacyclohexane hexafluoroantimonate (EMOA) and (BF3 · CH3OH)THP as fast and slow initiator, respectively, yielding living and nonliving polymers with pseudoperiodic sequences (i.e., each pentamethylene oxide fragment inserted into the polymer is flanked by two trimethylene oxide fragments). Good control over number-average molecular weight (Mn up to 150000 g mol-1) with molecular weight distribution (MWD ∼ 1.4-1, 5) broader than predicted by the Poison distribution (MWDs > 1 +1/DPn) was attained using EMOA as initiating system, i.e., C 2H5OCH2Cl with 1.1 equiv of AgSbF6 as a stable catalyst and 1.1 equiv of 2,6-di-tert-butylpyridine used as a non-nucleophilic proton trap. With (BF3 · CH 3OH)THP, a drift of the linear dependence M n(GPC) vs Mn(theory) to lower molecular weight was observed together with the production of cyclic oligomers, ∼3-5% of the Ox consumed in THP against ∼30% in dichloromethane. Structural and kinetics studies highlighted a mechanism of chains growth where the rate of mutual conversion between "strain ACE species" (chain terminated by a tertiary 1-oxoniacyclobutane ion, Al) and "strain-free ACE species" (chain terminated by a tertiary 1-oxoniacyclohexane ion, Tl) depends on the rate at which Ox converts the stable species T1 (kind of "dormant" species) into a living "propagating" center A1 (i.e., k aapp[Ox]). The role of the THP solvent associated with the suspension of irreversible and reversible transfer reactions to polymer, when the polymerization is initiated with EMOA, was predicted by our kinetic considerations. The activation -deactivation pseudoequilibrium coefficient (Qt) was then calculated in a pure theoretical basis. From the measured apparent rate constant of Ox (kOxapp) and THP (kTHPapp = ka(endo)app) consumption, Qt and reactivity ratio (kp/kd, k a(endo)/ka(exo), and ks/ka(endo) were calculated, which then allow the determination of the transition rate constant of elementary step reactions that governs the increase of Mu with conversion. © 2009 American Chemical Society.