Formation and growth of anionic vesicles has been studied theoretically [Kats and Muratov] and experimentally by small angle neutron scattering [I.Grillo, ILL/EMBL]. Generalization of the Lifshits - Slezov law for a specific membrane bending elastic energy (with long range electrostatic interactions taken into account) gives excellent quantitative agreement with experimental observations.

In 2003 [Kats et al., PRE 2003], we performed the full analysis of structures and phase transitions in polar and chiral liquid crystalline films, and as a result new smectic liquid crystalline structures have been predicted. In particular one of these with a 3-layer elementary cell is of interest for non-resonant X-ray scattering, and this prediction was confirmed in 2006 by ESRF/Bordeaux University scientists.
Theoretical investigation of phospholipid membrane fluctuations (including non-perturbative processes, like pore formation) have been conducted by D.Bicout and E.Kats in collaboration with scientists from the CEA and the ILL TOF group [PRE, rapid com. 2006].

We have addressed and investigated the relation between long range base pair sequence correlations and charge transfer in random, aperiodic artificial DNA and in a number of genomic DNA sequences. We have focus on how the sequence-dependent backscattering profile might be inferred from long range correlations between base pairs [Kats, Bicout, PRL 2003; PRL 2004; PRE rapid com.2004].