Studying stochastic systems biology of the cell with single-cell genomics data

G Gorin, JJ Vastola, L Pachter - Cell Systems, 2023 - cell.com
Recent experimental developments in genome-wide RNA quantification hold considerable
promise for systems biology. However, rigorously probing the biology of living cells requires …

Interpretable and tractable models of transcriptional noise for the rational design of single-molecule quantification experiments

G Gorin, JJ Vastola, M Fang, L Pachter - Nature Communications, 2022 - nature.com
The question of how cell-to-cell differences in transcription rate affect RNA count
distributions is fundamental for understanding biological processes underlying transcription …

Spectral neural approximations for models of transcriptional dynamics

G Gorin, M Carilli, T Chari, L Pachter - Biophysical Journal, 2024 - cell.com
The advent of high-throughput transcriptomics provides an opportunity to advance
mechanistic understanding of transcriptional processes and their connections to cellular …

Efficient inference and identifiability analysis for differential equation models with random parameters

AP Browning, C Drovandi, IW Turner… - PLOS Computational …, 2022 - journals.plos.org
Heterogeneity is a dominant factor in the behaviour of many biological processes. Despite
this, it is common for mathematical and statistical analyses to ignore biological heterogeneity …

Solving the chemical master equation for monomolecular reaction systems and beyond: a Doi-Peliti path integral view

JJ Vastola - Journal of Mathematical Biology, 2021 - Springer
The chemical master equation (CME) is a fundamental description of interacting molecules
commonly used to model chemical kinetics and noisy gene regulatory networks. Exact time …

Bayesian estimation for stochastic gene expression using multifidelity models

HD Vo, Z Fox, A Baetica, B Munsky - The Journal of Physical …, 2019 - ACS Publications
The finite state projection (FSP) approach to solving the chemical master equation has
enabled successful inference of discrete stochastic models to predict single-cell gene …

Bayesian inference of stochastic reaction networks using multifidelity sequential tempered Markov chain Monte Carlo

TA Catanach, HD Vo, B Munsky - International journal for …, 2020 - dl.begellhouse.com
Stochastic reaction network models are often used to explain and predict the dynamics of
gene regulation in single cells. These models usually involve several parameters, such as …

Analytic solution of chemical master equations involving gene switching. I: Representation theory and diagrammatic approach to exact solution

JJ Vastola, G Gorin, L Pachter, WR Holmes - arXiv preprint arXiv …, 2021 - arxiv.org
The chemical master equation (CME), which describes the discrete and stochastic molecule
number dynamics associated with biological processes like transcription, is difficult to solve …

Predictive power of non-identifiable models

F Grabowski, P Nałęcz-Jawecki, T Lipniacki - Scientific Reports, 2023 - nature.com
Resolving practical non-identifiability of computational models typically requires either
additional data or non-algorithmic model reduction, which frequently results in models …

Classical Fisher information for differentiable dynamical systems

M Sahbani, S Das, JR Green - Chaos: An Interdisciplinary Journal of …, 2023 - pubs.aip.org
Fisher information is a lower bound on the uncertainty in the statistical estimation of classical
and quantum mechanical parameters. While some deterministic dynamical systems are not …