Bio
2023-present: Postdoc Fellow, University of Houston
2020-2023: Simons Postdoc Fellow, University of Pennsylvania
2020: Ph.D. in Mathematics, University of Utah
Research
As an applied probabilist and math biologist, my research interest lies in developing and analyzing mathematical models for biological systems that incorporate randomness. My recent research themes include:
Stochastic processes in decisions
How do we make decisions based on observation? What is the best way of making decisions in changing environments? Compared to the optimal decisions, how do animals, including us, perceive and behave? If the subjects are sub-optimal, why is it?
We pursue those questions with stochastic models of perception and action based on the Bayesian framework and dynamic programming.
Stochastic search processes in cell biology
Cells find their targets by employing random movements and often teaming up with multiple random searchers. Despite appearing inefficient, stochasticity is prevalent in many cellular search mechanisms, suggesting that random trajectories are efficient and so favored by evolution.
Our primary goal is to understand how cellular search mechanisms can achieve optimality by stochasticity. Our recent work in this topic involves a variety of stochastic models and their first passage time problems, together with statistical data analysis of trajectories.
Collaborators
I am very fortunate to collaborate with many fantastic scientists. Some past and present theory collaborators include:
Paul Bressloff, Jun Allard, Yoichiro Mori, Joshua Plotkin, Sean Lawley, Krešimir Josić, Zachary Kilpatrick, Jeehyun Lee, Hee-Dae Kwon,
and experimental collaborators include:
Publications
*: equal contributions
Emergence of multiple foraging strategies under competition
H Kim*, M Subedi*, K Josić
Submitted, 2024 (bioRxiv:2024.04.19.590345)
Cover times of many random walkers on a discrete network
H Kim, SD Lawley
Physical Review E 109 014121, 2024 (arXiv:2310.07905)
Cover times of many diffusive or subdiffusive searchers
H Kim, SD Lawley
SIAM Journal on Applied Mathematics 84 602-620, 2024 (arXiv:2308.13417)
Finite population effects on optimal communication for social foragers
H Kim, Y Mori, JB Plotkin
SIAM Journal on Applied Mathematics, In press, 2023 (arXiv:2308.00298)
Optimality of intercellular signaling: Direct transport versus diffusion
H Kim, Y Mori, JB Plotkin
Physical Review E 106 054411, 2022 (arXiv:2204.09768)
Zebrafish airinemes optimize their shape between ballistic and diffusive search
S Park*, H Kim*, Y Wang, DS Eom, J Allard
A reduced 1D stochastic model of bleb-driven cell migration
MJ Muñoz-López, H Kim, Y Mori
Biophysical Journal 121 1881-1896, 2022
Stochastic Turing pattern formation in a model with active and passive transport
H Kim, PC Bressloff
Bulletin of Mathematical Biology 82 144, 2020
Impulsive signaling model of cytoneme-based morphogen gradient formation
H Kim, PC Bressloff
Physical Biology 16 056005, 2019
Search-and-capture model of cytoneme-mediated morphogen gradient formation
PC Bressloff, H Kim
Physical Review E 99 052401, 2019
Direct vs. Synaptic Coupling in a Mathematical Model of Cytoneme-Based Morphogen Gradient Formation
H Kim, PC Bressloff
SIAM Journal on Applied Mathematics 78 2323-2347, 2018
Bidirectional transport model of morphogen gradient formation via cytonemes
PC Bressloff, H Kim