Simulation and inference algorithms for stochastic biochemical reaction networks: from basic concepts to state-of-the-art

DJ Warne, RE Baker… - Journal of the Royal …, 2019 - royalsocietypublishing.org
Stochasticity is a key characteristic of intracellular processes such as gene regulation and
chemical signalling. Therefore, characterizing stochastic effects in biochemical systems is …

'The Forms of Tissues, or Cell-aggregates': D'Arcy Thompson's influence and its limits

F Graner, D Riveline - Development, 2017 - journals.biologists.com
In two chapters of his book On Growth and Form, D'Arcy Thompson used numerous
biological and physical observations to show how principles from mathematics and physics …

Pushing coarse-grained models beyond the continuum limit using equation learning

DJ VandenHeuvel, PR Buenzli… - Proceedings of the …, 2024 - royalsocietypublishing.org
Mathematical modelling of biological population dynamics often involves proposing high-
fidelity discrete agent-based models that capture stochasticity and individual-level …

Multi-scale computational study of the mechanical regulation of cell mitotic rounding in epithelia

A Nematbakhsh, W Sun, PA Brodskiy… - PLoS computational …, 2017 - journals.plos.org
Mitotic rounding during cell division is critical for preventing daughter cells from inheriting an
abnormal number of chromosomes, a condition that occurs frequently in cancer cells. Cells …

Inferring parameters for a lattice-free model of cell migration and proliferation using experimental data

AP Browning, SW McCue, RN Binny, MJ Plank… - Journal of Theoretical …, 2018 - Elsevier
Collective cell spreading takes place in spatially continuous environments, yet it is often
modelled using discrete lattice-based approaches. Here, we use data from a series of cell …

Modeling perspectives on the intestinal crypt, a canonical system for growth, mechanics, and remodeling

AA Almet, PK Maini, DE Moulton, HM Byrne - Current Opinion in Biomedical …, 2020 - Elsevier
The intestinal epithelium is crucial to maintaining a healthy gut. Central to this are the crypts
of Lieberkühn, which coordinate the rapid self-renewal of the epithelium to protect the small …

Collective chemotaxis through noisy multicellular gradient sensing

J Varennes, B Han, A Mugler - Biophysical journal, 2016 - cell.com
Collective cell migration in response to a chemical cue occurs in many biological processes
such as morphogenesis and cancer metastasis. Clusters of migratory cells in these systems …

A hierarchical Bayesian model for understanding the spatiotemporal dynamics of the intestinal epithelium

OJ Maclaren, A Parker, C Pin, SR Carding… - PLoS Computational …, 2017 - journals.plos.org
Our work addresses two key challenges, one biological and one methodological. First, we
aim to understand how proliferation and cell migration rates in the intestinal epithelium are …

Sense and sensitivity: physical limits to multicellular sensing, migration, and drug response

J Varennes, A Mugler - Molecular pharmaceutics, 2016 - ACS Publications
Metastasis is a process of cell migration that can be collective and guided by chemical cues.
Viewing metastasis in this way, as a physical phenomenon, allows one to draw upon …

Intermediate adhesion maximizes migration velocity of multicellular clusters

U Roy, A Mugler - Physical Review E, 2021 - APS
Collections of cells exhibit coherent migration during morphogenesis, cancer metastasis,
and wound healing. In many cases, bigger clusters split, smaller subclusters collide and …