My research interests include continuum mechanics, PDE's, and mathematical applications to biology, specifically, the relationship between the three dimensional structures of biological molecules and cellular function.
Dynamics of Tosional Stress in DNA: I model the transport of transciptional stress in DNA as an elastic rod at low Reynolds number.
To play the movies below, double click on the image.
Here, the blue line represents the centerline of the rod, or DNA, and the red line represents the imaginary line traced on the surface of the rod by one of the local directors, showing the dynamic change in twist.
Genomic Distributions of Inverted Repeats: I am also engaged in studying the genomic distribution of inverted repeats with the potential for cruciformation. This work provides upper bound cutoffs for imperfect inverted repeats within genomic DNA, beyond which, cruciform extrusion is highly improbable. I then analyze the distributions and attributes of these IRs.
I am also interested in the competition of clusters of extrusionally susceptible inverted repeats and other structures including SIDD. This work takes an equilibrium statistical mechanical approach.
Dynamics of Tosional Stress in DNA: I model the transport of transciptional stress in DNA as an elastic rod at low Reynolds number.
I am also interested in the competition of clusters of extrusionally susceptible inverted repeats and other structures including