Modeling of kinetic processes in biological systems

通道促进的膜运输。(i)我们发展了一种通过膜通道的离子电流波动的一般理论，这是由于分子移位导致通道部分阻塞。（ii）我们发展了分子通过锥形通道输运的理论，并表明粒子间相互作用打破了非相互作用粒子通过此类通道输运所固有的通量对称性。

Channel-facilitated membrane transport. (i) We developed a general theory of fluctuations of ion current through a membrane channel due to partial blocking of the channel by translocating molecules. (ii) We developed a theory of transport of molecules through conical channels and showed that inter-particle interactions break the flux symmetry inherent in transport of non-interacting particles through such channels. Two-state protein folding. We developed a theory of two-state protein folding assuming that underlying dynamics is formulated in terms of rate equations on a network of coarse-grained discrete states of the protein. Our theory allows one to find folding and unfolding rates as well as most probable folding/unfolding pathways. Dynamics of morphogen gradients in the Drosophila Embrio. We developed a theory of signaling gradients in cascades of two-state reaction-diffusion systems that provides a new insight into the experimental observations made in Professor Shvartsman's Lab. at Princeton University. Transport in complex media with entropy traps and barriers. We developed a theory that explains anomalous dependence of the particle diffusivity on its radius for diffusion in tubes with dead ends. Diffusive escape from dendritic spines. We developed a theory that explains how the particle lifetime in a dendritic spine depends on geometric parameters of the spine, initial position of the particle, and its diffusivity in the spine neck and head.