Lamellarin D bioconjugates I: synthesis and cellular internalization of PEG-derivatives

Herein is reported the design and synthesis of poly(ethylene glycol) derivatives of Lamellarin D with the aim of modulating their physicochemical properties, and improving the biological activity. Mono-, di- and tri-PEG conjugates with improved solubility were obtained in 18-57% overall yields from the corresponding partially protected phenolic derivatives of Lamellarin D. Conjugates 1-9 were tested in a panel of three human tumor cell lines (MDA-MB-231 breast, A-549 lung and HT-29 colon) to evaluate their cytotoxicity. Several compounds exhibited enhanced cellular internalization, and more than 85% of the derivatives showed a lower GI50 than Lam-D. Furthermore, cell cycle arrest at G2 phase, and apoptotic cell-death pathways were determined for Lamellarin D and these derivatives.

Lamellarin D bioconjugates II: synthesis and cellular internalization of dendrimer and nuclear location signal derivatives

The design and synthesis of Lamellarin D conjugates with a nuclear localization signal peptide and a poly(ethylene glycol)-based dendrimer are described. Conjugates 1-4 were obtained in 8-84% overall yields from the corresponding protected Lamellarin D. Conjugates 1 and 4 are 1.4 to 3.3-fold more cytotoxic than the parent compound against three human tumor cell lines(MDA-MB-231 breast, A-549 lung, and HT-29 colon). Besides, conjugates 3, 4 showed a decrease in activity potency in BJ skin fibroblasts, a normal cell culture. Cellular internalization was analyzed and nuclear distribution pattern was observed for 4, which contains a nuclear localization signalling sequence.

Lamellarin D bioconjugates I: synthesis and cellular internalization of PEG-derivatives

Herein is reported the design and synthesis of poly(ethylene glycol) derivatives of Lamellarin D with the aim of modulating their physicochemical properties, and improving the biological activity. Mono-, di- and tri-PEG conjugates with improved solubility were obtained in 18-57% overall yields from the corresponding partially protected phenolic derivatives of Lamellarin D. Conjugates 1-9 were tested in a panel of three human tumor cell lines (MDA-MB-231 breast, A-549 lung and HT-29 colon) to evaluate their cytotoxicity. Several compounds exhibited enhanced cellular internalization, and more than 85% of the derivatives showed a lower GI50 than Lam-D. Furthermore, cell cycle arrest at G2 phase, and apoptotic cell-death pathways were determined for Lamellarin D and these derivatives.

Full instability behavior of N-dimensional dynamical systems with a one-directional nonlinear vector field

We show how certain N-dimensional dynamical systems are able to exploit the full instability capabilities of their fixed points to do Hopf bifurcations and how such a behavior produces complex time evolutions based on the nonlinear combination of the oscillation modes that emerged from these bifurcations. For really different oscillation frequencies, the evolutions describe robust wave form structures, usually periodic, in which selfsimilarity with respect to both the time scale and system dimension is clearly appreciated. For closer frequencies, the evolution signals usually appear irregular but are still based on the repetition of complex wave form structures. The study is developed by considering vector fields with a scalar-valued nonlinear function of a single variable that is a linear combination of the N dynamical variables. In this case, the linear stability analysis can be used to design N-dimensional systems in which the fixed points of a saddle-node pair experience up to N21 Hopf bifurcations with preselected oscillation frequencies. The secondary processes occurring in the phase region where the variety of limit cycles appear may be rather complex and difficult to characterize, but they produce the nonlinear mixing of oscillation modes with relatively generic features

Speed of travelling fronts: Two-dimensional and ballistic dispersal probability distributions

The speed of traveling fronts for a two-dimensional model of a delayed reactiondispersal process is derived analytically and from simulations of molecular dynamics. We show that the one-dimensional (1D) and two-dimensional (2D) versions of a given kernel do not yield always the same speed. It is also shown that the speeds of time-delayed fronts may be higher than those predicted by the corresponding non-delayed models. This result is shown for systems with peaked dispersal kernels which lead to ballistic transport