Zobrazeno 1 - 10
of 5 119
pro vyhledávání: '"Simpson, P. J."'
Random walks and related spatial stochastic models have been used in a range of application areas including animal and plant ecology, infectious disease epidemiology, developmental biology, wound healing, and oncology. Classical random walk models as
Externí odkaz:
http://arxiv.org/abs/2411.10972
Parameter inference is essential when interpreting observational data using mathematical models. Standard inference methods for differential equation models typically rely on obtaining repeated numerical solutions of the differential equation(s). Rec
Externí odkaz:
http://arxiv.org/abs/2411.10494
Lattice-based stochastic models motivate non-linear diffusion descriptions of memory-based dispersal
The role of memory and cognition in the movement of individuals (e.g. animals) within a population, is thought to play an important role in population dispersal. In response, there has been increasing interest in incorporating spatial memory effects
Externí odkaz:
http://arxiv.org/abs/2411.09136
Autor:
Ghosh, Indranil, Simpson, David J. W.
We treat $n$-dimensional piecewise-linear continuous maps with two pieces, each of which has exactly one unstable direction, and identify an explicit set of sufficient conditions for the existence of a chaotic attractor. The conditions correspond to
Externí odkaz:
http://arxiv.org/abs/2410.22563
Autor:
Simpson, David J. W.
The border-collision normal form is a piecewise-linear family of continuous maps that describe the dynamics near border-collision bifurcations. Most prior studies assume each piece of the normal form is invertible, as is generic from an abstract view
Externí odkaz:
http://arxiv.org/abs/2408.04790
Autor:
Glendinning, P. A., Simpson, D. J. W.
The border-collision normal form describes the local dynamics in continuous systems with switches when a fixed point intersects a switching surface. For one-dimensional cases where the bifurcation creates or destroys only fixed points and period-two
Externí odkaz:
http://arxiv.org/abs/2407.16865
Autor:
Warne, David J., Crossman, Kerryn, Heron, Grace E. M., Sharp, Jesse A., Jin, Wang, Wu, Paul Pao-Yen, Simpson, Matthew J., Mengersen, Kerrie, Ortiz, Juan-Carlos
Coral reefs are increasingly subjected to major disturbances threatening the health of marine ecosystems. Substantial research underway to develop intervention strategies that assist reefs in recovery from, and resistance to, inevitable future climat
Externí odkaz:
http://arxiv.org/abs/2406.19591
We propose a simple mathematical model to describe the mechanical relaxation of cells within a curved epithelial tissue layer represented by an arbitrary curve in two-dimensional space. The model represents the mechanics of the cell body either by st
Externí odkaz:
http://arxiv.org/abs/2406.19197
In vitro cell biology experiments are routinely used to characterize cell migration properties under various experimental conditions. These experiments can be interpreted using lattice-based random walk models to provide insight into underlying biolo
Externí odkaz:
http://arxiv.org/abs/2406.16296
Autor:
Razumtcev, Aleksandr, Turner, Gwendylan A., Zayats, Sergey, Borondics, Ferenc, Polyzos, Aris, Simpson, Garth J., Bechtel, Hans A.
Optical photothermal microscopy is a powerful, emerging method that overcomes the diffraction limit in infrared hyperspectral imaging by utilizing a visible probe laser beam to detect local temperature-induced modulation at the visible diffraction li
Externí odkaz:
http://arxiv.org/abs/2406.14689