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Found 8 papers, 4 papers with code
Quantifying cell cycle regulation by tissue crowding
Finally, we compare our mathematical model predictions to different experiments studying cell cycle regulation and present a quantitative analysis on the impact of density-dependent regulation on cell migration patterns.
Linking discrete and continuous models of cell birth and migration
Self-organisation of individuals within large collectives occurs throughout biology.
Quantifying tissue growth, shape and collision via continuum models and Bayesian inference
Although tissues are usually studied in isolation, this situation rarely occurs in biology, as cells, tissues, and organs, coexist and interact across scales to determine both shape and function.
A local continuum model of cell-cell adhesion
In this paper, we present a new continuum model of cell-cell adhesion which can be derived from a general nonlocal model in the limit of short-range interactions.
Can the clocks tick together despite the noise? Stochastic simulations and analysis
We study, using the macroscopic description, how the interaction between external noise and intercellular coupling affects the dynamics of the collective rhythm, and we provide a numerical description of the bifurcations resulting from the noise-induced transitions.
Enhancement of damaged-image prediction through Cahn-Hilliard Image Inpainting
We then compare the prediction accuracy of the neural network with and without applying the Cahn-Hilliard filter to the damaged images test.
Well-balanced finite volume schemes for hydrodynamic equations with general free energy
Well balanced and free energy dissipative first- and second-order accurate finite volume schemes are proposed for a general class of hydrodynamic systems with linear and nonlinear damping.
Numerical Analysis Statistical Mechanics Applied Physics Computational Physics Fluid Dynamics 35Lxx, 65Yxx, 65Zxx, 82Bxx, 82Dxx
An analytical framework for a consensus-based global optimization method
This work justifies the optimization algorithm in the mean-field sense showing the convergence to the global minimizer for a large class of functions.
Analysis of PDEs
