Blebs are cellular protrusions that appear as smooth spherical expansions of the membrane formed when it separates from the underlying actin cortex, driven by hydrostatic pressure generated in the cytoplasm by the contractile actomyosin cortex. In our upcoming paper, we propose a model that the blebs are persistently developed by intrinsic noise, which comes from the assembly and turnover of the discrete cortical protein units. The dynamical system escapes the basin of attraction by accumulating the noise, as illustrated in the figure.

Does the nature really favor optimality? Yes, it is when cells form the stripe patterns during zebrafish development. Sometimes on the yellow stripe, a black pigment cell is misallocated. In order to fix it, a different type of black pigment cells, called xantoblasts, extend long and thin protrusions called airinemes to reach the misallocated cell. One important parameter of this search process is the angular diffusion, which determines the “curviness” of airinemes. In our upcoming paper, we have shown that the search process has the “optimal” angular diffusion in the sense of the search probability. Interestingly, the theoretical optimal value coincides with the experimental estimation.

How intrinsic noise affects a pattern-forming mechanism? This has been studied extensively on the reaction-diffusion (RD) equation. Brooks and Bressloff (2016) developed C. elegans synaptic site pattern forming mechanism by introducing a reaction-diffusion-advection (RDA) equation. However, it has been still unknown what is the role of intrinsic fluctuation in the RDA stochastic pattern formation. In Kim and Bressloff (2020), we address this question by carrying out a system-size expansion of the RDA master equation.

HK successfully defended his Ph.D. Thesis “Mathematical models of cytoneme-based morphogenesis” on May 11, 2020. He is appointed at the Simons Postdoctoral Fellow in the Center for Mathematical Biology at the University of Pennsylvania and expected to begin the position in August 2020.

HK visit the NSF-Simons Center for Multiscale Cell Fate Research (CMCF) at UC Irvine over 6 weeks this summer! Collaboration with Jun Allard and Dae Seok Eom, we are going to study a unique feature of another type of signaling cell protrusions called airinemes.