4 papers · 1 filter
A Stochastic Interacting Particle-Field Algorithm for a Haptotaxis Advection-Diffusion System Modeling Cancer Cell Invasion
Boyi Hu, Zhongjian Wang, Jack Xin +1
The investigation of tumor invasion and metastasis dynamics is crucial for advancements in cancer biology and treatment. Many mathematical models have been developed to study the i…
A structure-preserving scheme for computing effective diffusivity and anomalous diffusion phenomena of random flows
Tan Zhang, Zhongjian Wang, Jack Xin +1
This paper aims to investigate the diffusion behavior of particles moving in stochastic flows under a structure-preserving scheme. We compute the effective diffusivity for normal d…
Iterative bounds on effective transport for advection diffusion in periodic flow fields
N. B. Murphy, D. Hallman, E. Cherkaev +2
Over three decades ago a Stieltjes integral representation for the effective diffusivity of a tracer in a steady fluid velocity field was developed, involving the spectral measure…
Computing large deviation rate functions of entropy production for diffusion processes by an interacting particle method
Zhizhang Wu, Renaud Raquépas, Jack Xin +1
We develop an interacting particle method (IPM) for computing the large deviation rate function of entropy production for diffusion processes, with emphasis on the vanishing-noise…