My research fouses on developing mathematical models to understand the working mechanicsms of living systems, especially the mechanics, physics, and biochemstry at the cellular level. I also collaborate closely with experimentalists and physiologists. Below is a subset of my research areas; for a full list of publications and collaborative works please see my publication page.

Cell Mechanics and Mechanobiology

Cells constantly interact with their environments by modulating their motility, ion fluxes, geometries, and volumes. I study cell migration, energy consumption, volume control, and division, among other, under various mechanical, physical, and biochemical environmental changes. The works have implications on cancer cell metastasis, immune responses, morphogenesis, and early embryonic development.

Sample projects can be found here.

Oocyte Mechanics

Oocyte division relays on the correct dynamic behaviors of the spindle across different stages. The spindle motility is coupled to the intracellular actin dynamics, myosin dynamics, and the cytoplasmic flow, as well as various biochemical signals within the oocytes. These elements form positive feedbacks that ensure the appropriate dynamics of the spindle and thus cell division.

Sample projects can be found here.

Cochlear Mechanics

The cochlea is one of the most elegant and sophisticated organs in our body. It converts incoming acoustic signals into electronic signals through multi-scale interaction of fluid waves and structural dynamics. On the other hand, the cochlea is also capable of generating sound which emits outwards to the ear cannel, a process known as otoacoustic emission. I study the wave generation and propagation within the cochlea both in the forward and backward directions.

Sample projects can be found here.

Computational Physics

It can be challenging to find high-accuracy, computationally-economic solutions to partial differential equations in complex geometries. My research includes the development of computational tools that facilitate the study of biophysical problems when complicated physics and geometries are involved.

Sample projects can be found here.