Other Research Projects

Particle Mixing in a Deforming Domain

Cytoplasmic mixing through cell shape deformation in motile neutrophil-like cells

The motion of intracellular particles can be driven not only by diffusion and active motor-based transport but also by the bulk cytoplasmic flows arising from gross deformation of the cell. A general problem of interest is to quantify the effect of active fluctuations of the cellular membrane on transport and encounter rates of particles within the cell. Using a spectral approach to model fluctuating quasi-spherical vesicles, we demonstrate that shape deformations of the vesicle can lead to overall particle motion that dominates over diffusion on second to minute timescales, speeding up the rate at which particles encounter different regions of the fluid domain.

Analyzing Rheology in the Presence of Flow

Statistical methods for extracting mechanical properties from particle trajectories in a flowing medium.

Tracking the motion of single particles provides valuable information about the material environment in which they are embedded. However, in the case of highly dynamic cells, the stochastic motion of the particles is confounded by large-scale cytoplasmic fluid flow. We have developed a novel technique for analyzing particle tracking data in the presence of flow. The method uses wavelets to separate trajectories into a smoothened slowly-varying component and a "noise" component encompassing Brownian (or fractional Brownian) motion. It has been used to demonstrate that the cytoplasm of crawling neutrophils behaves primarily as a viscous fluid, with rheological properties that can be grossly altered by drug treatments of the cells.

Cell Wall Mechanics in Bacterial Cell Division

Stress and fracture in the separation of Staphylococcus aureus daughter cells

Staphylococcus aureus bacteria grow and divide in a discrete fashion, with extremely fast popping events splitting one cell into two. I investigate the physics underlying such popping events by modelling the bacterial cell wall as an elastic shell, with stresses arising from a combination of turgor pressure and differential growth of the shell. Additionally, treating the peripheral band surrounding the shell as an expanding ductile ring helps explain the formation of periodic defects in the cell wall prior to division.

Systematic Coarse-graining of Polymer Models

Statistical mechanics and renormalization of general polymer models to effective semiflexible chains at long lengths

At long lengths, polymer chains exhibit general physical properties that are independent of their detailed structure. I developed a systematic approach for mapping polymer chains to a coarse-grained model called the "shearable worm-like chain" which can reproduce the statistics of the chain at intermediate to long lengths. This chain model is analytically tractable and suitable for simulations, where the coarse-graining length scale can be tuned to suit the application of interest.

Chromatin Fiber Structure

Mapping the energy landscape of regular helical structures for the 30nm chromatin fiber

The eukaryotic genome is packaged into a hierarchical structure that involves wrapping the DNA into periodic nucleosome structures, that are then packed into regular helical chromatin fibers. We consider the role of DNA mechanics in these helical fibers. Treating the linker DNA as a wormlike chain and focusing on regular helical fibers, we perform geometry optimization to characterize the possible low-energy fiber structures. Our results indicate a multitude of possible helices, indicating that there is unlikely to be a single thermodynamically determined structure for the chromatin fiber.

Target Search via Multimodal Passive Transport

Dynamics of DNA binding proteins in searching for target sites on the genome

DNA binding proteins find their target sites by a combination of 3D diffusion and 1D sliding along nonspecific DNA sequence. Using analytic and simulated reaction-diffusion models, we explored the kinetics of this process, focusing on the role of DNA configuration and confinement. We find that for the parameter regime relevant to in vivo systems, the complex facilitated diffusion process can be represented as an effective diffusion to an antenna region around the target site.