| Abstract: |
| Communication at a cellular level is conducted by releasing signaling molecules which diffuse in a crowded environment until binding with receptors located on the membranes of other cells. At a glance this mechanism seems noisy and inefficient, yet cells reliably decode these signals to deduce directions in which to move or grow. In this talk I will describe a variety of inverse problems that arise from recovering directional information from such noisy arrivals. Mathematically, this involves a combination of asymptotic analysis, computational methods for PDEs, and statistical approaches. |
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