Simplified synthesis route for interfacially polymerized polyamide membranes

Self-avoiding Polymerized Membranes

Recent progresses in the understanding of the scaling behavior of self-avoiding flexible polymerized membranes (tethered manifolds) are reviewed (joint works with B. Duplantier and E. Guitter, and with K. Wiese). They rely on a new general renormalization group approach for a class of models with non-local singular interactions. This approach allows to prove the existence of a ǫ-expansion for t...

Thermodynamical behavior of polymerized membranes

Anisotropic and Heterogeneous Polymerized Membranes

In these lectures I describe long scale properties of fluctuating polymerized membranes in the presence of network anisotropy and random heterogeneities. Amazingly, even infinitesimal amount of these seemingly innocuous but physically important ingredients in the membrane’s internal structure leads to a wealth of striking qualitatively new phenomena. Anisotropy leads to a “tubule” phase that is...

Oligomerization route to Py-Im polyamide macrocycles.

Cyclic eight-ring pyrrole-imidazole polyamides are sequence-specific DNA-binding small molecules that are cell permeable and can regulate endogenous gene expression. Syntheses of cyclic polyamides have been achieved by solid-phase and solution-phase methods. A rapid solution-phase oligomerization approach to eight-ring symmetrical cyclic polyamides yields 12- and 16-membered macrocycles as well...

Self-consistent theory of polymerized membranes.

We study D-dimensional polymerized membranes embedded in d dimensions using a selfconsistent screening approximation. It is exact for large d to order 1/d, for any d to order ǫ = 4−D and for d = D. For flat physical membranes (D = 2, d = 3) it predicts a roughness exponent ζ = 0.590. For phantom membranes at the crumpling transition the size exponent is ν = 0.732. It yields identical lower crit...