A review of recent developments in the field of front dynamics in anomalous diffusion–
reaction systems is presented. Both fronts between stable phases and those propagating …

The brain tumour glioblastoma is characterised by diffuse and infiltrative growth into
surrounding brain tissue. At the macroscopic level, the progression speed of a glioblastoma …

Recently we considered a stochastic discrete model which describes fronts of cells invading
a wound [E. Khain, LM Sander, and CM Schneider-Mizell, J. Stat. Phys. 128, 209 (2007)]. In …

The molecular mechanisms by which receptor tyrosine kinases (RTKs) and heterotrimeric G
proteins, two major signaling hubs in eukaryotes, independently relay signals across the …

The main aim of the paper is to incorporate the nonlinear kinetic term into non-Markovian
transport equations described by a continuous time random walk (CTRW) with …

To investigate the VE-cadherin-based intercellular crosstalk in tumor cells, a fusion protein
consisting of a human VE-cadherin extracellular domain and an immunoglobulin G Fc …

We consider the emerging dynamics of a separable continuous time random walk (CTRW)
in the case when the random walker is biased by a velocity field in a uniformly growing …

Germline mutations in more than 20 genes, including those encoding for the succinate
dehydrogenase (SDH), predispose to rare tumours, such as pheochromocytoma …

In this paper we analyse a previously proposed cell-based model of glioblastoma (brain
tumour) growth, which is based on the assumption that the cancer cells switch phenotypes …

A continuous-time branching random walk on multidimensional lattices with a finite number
of branching sources of three types leads to explicit conditions for the exponential growth of …