[HTML][HTML] Mathematical modeling of regulatory networks of intracellular processes–Aims and selected methods

M Kardynska, D Kogut, M Pacholczyk… - Computational and …, 2023 - Elsevier
Regulatory networks structure and signaling pathways dynamics are uncovered in time-and
resource consuming experimental work. However, it is increasingly supported by modeling …

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 …

Biophysically interpretable inference of cell types from multimodal sequencing data

T Chari, G Gorin, L Pachter - Nature Computational Science, 2024 - nature.com
Multimodal, single-cell genomics technologies enable simultaneous measurement of
multiple facets of DNA and RNA processing in the cell. This creates opportunities for …

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 …

Stochastic Modeling of Biophysical Responses to Perturbation

T Chari, G Gorin, L Pachter - bioRxiv, 2024 - pmc.ncbi.nlm.nih.gov
Recent advances in high-throughput, multi-condition experiments allow for genome-wide
investigation of how perturbations affect transcription and translation in the cell across …

Extracting Information from Stochastic Trajectories of Gene Expression

ZR Fox - arXiv preprint arXiv:2206.14874, 2022 - arxiv.org
Gene expression is a stochastic process in which cells produce biomolecules essential to
the function of life. Modern experimental methods allow for the measurement of …

[PDF][PDF] Perturbing the Genome: From Bench to Biophysics

T Chari - 2024 - thesis.library.caltech.edu
In single-cell genomics, we can simultaneously assay hundreds of thousands of cells, their
molecular contents, and how they respond to perturbation, from genetic knockouts to …

Dynamic transcoding properties of NF-κB signaling

CS Mokashi - 2022 - search.proquest.com
All biological systems constantly receive, process and respond to external signals. Cells,
although being the basic unit of life, show remarkable ability to decipher the environmental …

[PDF][PDF] Significance Statement

G Gorina, JJ Vastolab, M Fangc, L Pachterc - authors.library.caltech.edu
The interpretation of transcriptomic observations requires detailed models of biophysical
noise that can be compared and fit to experimental data. Models of intrinsic noise …

Methods and tools for the optimal design of experiments applied to the efficient characterization of enzyme-mediated escape to antimicrobial treatments

A Carcano - 2021 - inria.hal.science
In the last two decades, systems biology has experienced an ever-increasing boom, the
momentum of which has also accelerated the rise in popularity of mathematical modeling in …