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pro vyhledávání: '"Bressloff, P. C."'
Autor:
Bressloff, Paul C
The run-and-tumble particle (RTP) is one of the simplest examples of an active particle in which the direction of constant motion randomly switches. In the one-dimensional (1D) case this means switching between rightward and leftward velocities. Most
Externí odkaz:
http://arxiv.org/abs/2411.15544
Autor:
Bressloff, Paul C
Most studies of collective phenomena in oscillator networks focus on directly coupled systems as exemplified by the classical Kuramoto model. However, there are growing number of examples in which oscillators interact indirectly via a common external
Externí odkaz:
http://arxiv.org/abs/2411.15534
Autor:
Bressloff, Paul C
There are many processes in cell biology that can be modeled in terms of particles diffusing in a two-dimensional (2D) or three-dimensional (3D) bounded domain $\Omega \subset \R^d$ containing a set of small subdomains or interior compartments $\calU
Externí odkaz:
http://arxiv.org/abs/2407.05747
Autor:
Bressloff, Paul C
The emerging field of stochastic thermodynamics extends classical ideas of entropy, heat and work to non-equilibrium systems. One notable finding is that the second law of thermodynamics typically only holds after taking appropriate averages with res
Externí odkaz:
http://arxiv.org/abs/2402.16403
Autor:
Bressloff, Paul C
A wide range of phenomena in the natural and social sciences involve large systems of interacting particles, including plasmas, collections of galaxies, coupled oscillators, cell aggregations, and economic ``agents'. Kinetic methods for reducing the
Externí odkaz:
http://arxiv.org/abs/2401.03501
A generalized Dean-Kawasaki equation for an interacting Brownian gas in a partially absorbing medium
Autor:
Bressloff, Paul C
The Dean-Kawasaki (DK) equation is a stochastic partial differential equation (SPDE) for the global density $\rho$ of a gas of $N$ over-damped Brownian particles. In the thermodynamic limit $N\rightarrow \infty$ with weak pairwise interactions, the e
Externí odkaz:
http://arxiv.org/abs/2312.06294
Autor:
Bressloff, Paul C
The aggregation or clustering of proteins and other macromolecules plays an important role in the formation of large-scale molecular assemblies within cell membranes. Examples include lipid rafts and postsynaptic domains (PSDs). PSDs are rich in scaf
Externí odkaz:
http://arxiv.org/abs/2312.05558
Autor:
Bressloff, Paul C
In this chapter, we review our recent work on first passage time (FPT) problems for absorption by a target whose interface is semipermeable. For pedagogical reasons, we focus on a single Brownian particle searching for a single target in a bounded do
Externí odkaz:
http://arxiv.org/abs/2310.20532
Autor:
Bressloff, Paul C
There are a large variety of hybrid stochastic systems that couple a continuous process with some form of stochastic switching mechanism. In many cases the system switches between different discrete internal states according to a finite-state Markov
Externí odkaz:
http://arxiv.org/abs/2310.20502
Autor:
Bressloff, Paul C.
There are many processes in cell biology that can be modelled in terms of an actively switching particle. The continuous degrees of freedom evolve according to a hybrid stochastic differential equation (hSDE) whose drift term depends on a discrete in
Externí odkaz:
http://arxiv.org/abs/2310.03418