3 papers
q-bio.SC2020
Stability analysis of a signaling circuit with dual species of GTPase switches
Lucas M. Stolerman, Pradipta Ghosh, Padmini Rangamani
GTPases are molecular switches that regulate a wide range of cellular processes, such as organelle biogenesis, position, shape, and signal transduction. These enzymes operate by to…
q-bio.SC2019
Stability Analysis of a Bulk-Surface Reaction Model for Membrane-Protein Clustering
L. M. Stolerman, M. Getz, S. G. Llewellyn Smith +2
Protein aggregation on the plasma membrane (PM) is of critical importance to many cellular processes such as cell adhesion, endocytosis, fibrillar conformation, and vesicle transpo…
math.PR2018
Interacting diffusions on sparse graphs: hydrodynamics from local weak limits
Roberto I. Oliveira, Guilherme H. Reis, Lucas M. Stolerman
We prove limit theorems for systems of interacting diffusions on sparse graphs. For example, we deduce a hydrodynamic limit and the propagation of chaos property for the stochastic…