Front propagation into unstable states
W Van Saarloos - Physics reports, 2003 - Elsevier
This paper is an introductory review of the problem of front propagation into unstable states.
Our presentation is centered around the concept of the asymptotic linear spreading velocity …
Our presentation is centered around the concept of the asymptotic linear spreading velocity …
Implementing measurement error models with mechanistic mathematical models in a likelihood-based framework for estimation, identifiability analysis and prediction …
Throughout the life sciences, we routinely seek to interpret measurements and observations
using parametrized mechanistic mathematical models. A fundamental and often overlooked …
using parametrized mechanistic mathematical models. A fundamental and often overlooked …
Biologically-informed neural networks guide mechanistic modeling from sparse experimental data
Biologically-informed neural networks (BINNs), an extension of physics-informed neural
networks, are introduced and used to discover the underlying dynamics of biological …
networks, are introduced and used to discover the underlying dynamics of biological …
Cell proliferation and migration explain pore bridging dynamics in 3D printed scaffolds of different pore size
Tissue growth in bioscaffolds is influenced significantly by pore geometry, but how this
geometric dependence emerges from dynamic cellular processes such as cell proliferation …
geometric dependence emerges from dynamic cellular processes such as cell proliferation …
Collisions of deformable cells lead to collective migration
Collective migration of eukaryotic cells plays a fundamental role in tissue growth, wound
healing and immune response. The motion, arising spontaneously or in response to …
healing and immune response. The motion, arising spontaneously or in response to …
Implementing vertex dynamics models of cell populations in biology within a consistent computational framework
The dynamic behaviour of epithelial cell sheets plays a central role during development,
growth, disease and wound healing. These processes occur as a result of cell adhesion …
growth, disease and wound healing. These processes occur as a result of cell adhesion …
Learning partial differential equations for biological transport models from noisy spatio-temporal data
We investigate methods for learning partial differential equation (PDE) models from spatio-
temporal data under biologically realistic levels and forms of noise. Recent progress in …
temporal data under biologically realistic levels and forms of noise. Recent progress in …
Series-form solutions of generalized fractional-fisher models with uncertainties using hybrid approach in Caputo sense
The field of fuzzy calculus has emerged as a powerful mathematical tool which can
effectively deal with uncertainties and impressions that are common in real-world situations …
effectively deal with uncertainties and impressions that are common in real-world situations …
Comparative analysis of numerical and newly constructed soliton solutions of stochastic Fisher-type equations in a sufficiently long habitat
This paper is a key contribution with respect to the applications of solitary wave solutions to
the unique solution in the presence of the auxiliary data. Hence, this study provides an …
the unique solution in the presence of the auxiliary data. Hence, this study provides an …
Revisiting the Fisher–Kolmogorov–Petrovsky–Piskunov equation to interpret the spreading–extinction dichotomy
The Fisher–Kolmogorov–Petrovsky–Piskunov model, also known as the Fisher–KPP model,
supports travelling wave solutions that are successfully used to model numerous invasive …
supports travelling wave solutions that are successfully used to model numerous invasive …