Plant viruses must invade and infect as much of their hosts as possible to maximize their chances of successful perpetuation. They move cell to cell via plasmodesmata (PD), which they modify to a greater or lesser extent, and to distant parts of the plant through the vascular system. Plant viruses encode one or more nonstructural proteins specifically required for movement within their hosts an...

Mathematical modelling of cell movement has traditionally focussed on a single population of cells, often moving in response to various chemical and environmental cues. In this paper, we consider models for movement in two or more interacting cell populations. We begin by discussing intuitive ideas underlying the extension of models for a single-cell population to two interacting populations. W...

Human granulocytes exposed to pulsed electric guiding fields were investigated. The trajectories were determined from digitized pictures (phase contrast). The basic results are: (i) No directed response was induced by pulsed electric guiding fields having a zero averaged field. (ii) A directed response was induced by pulsed electric guiding fields having a non-zero averaged field. (iii) The dir...

4 The ability of cells to undergo collective movement plays a fundamental role in tissue repair, 5 development and cancer. Interactions occurring at the level of individual cells may lead to the 6 development of spatial structure which will affect the dynamics of migrating cells at a population 7 level. Models that try to predict population-level behaviour often take a mean-field approach, whic...

The space-dependent density of cells is evaluated for the following situation: (i) The cells are forced to make a directed movement (ii) the space for the cellular migration is restricted. The steady state distribution density is obtained when the drift current density equals the diffusion current density. The analogy to the Boltzmann statistics is shown. In a further step the cellular volume i...