The countoscope: measuring self and collective dynamics without trajectories

EKR Mackay, S Marbach, B Sprinkle, AL Thorneywork - Physical Review X, 2024 - APS
Driven by physical questions pertaining to quantifying particle dynamics, microscopy can
now resolve complex systems at the single-particle level, from cellular organisms to …

Bilo: Bilevel local operator learning for pde inverse problems

RZ Zhang, X **e, JS Lowengrub - arxiv preprint arxiv:2404.17789, 2024 - arxiv.org
We propose a new neural network based method for solving inverse problems for partial
differential equations (PDEs) by formulating the PDE inverse problem as a bilevel …

Incorporating spatial diffusion into models of bursty stochastic transcription

CE Miles - bioRxiv, 2024 - biorxiv.org
The dynamics of gene expression are both stochastic and spatial at the molecular scale.
Mechanistic models of mRNA count distributions have revealed countless insights but …

[PDF][PDF] Inverse PDE problem using Physics-Informed Neural Network

L Trinh, SA McKinley, T Buvoli, CE Miles - assets.zyrosite.com
From a collection of snapshot observations of stochastic birth-death-diffusion processes, we
want to infer their underlying dynamics.[2] has pointed out the connection between spatial …