1,721,021 research outputs found
On the stability of homogeneous solutions to some aggregation models
Full text linkVasculogenesis, i.e. self-assembly of endothelial cells leading to
capillary network formation, has been the object of many experimental investigations in recent years, due to its relevance both in physiological and in pathological conditions. We performed a detailed linear stability analysis of two models of in vitro vasculogenesis, with the aim of checking their potential
for structure formation starting from initial data representing a continuum cell monolayer. The first model turns out to be unstable at low cell densities, while pressure stabilizes it at high densities. The second model is instead stable at low cell densities. Detailed information about the instability regions and the
structure of the critical wave numbers are obtained in several interesting limiting cases. We expect that altogether, this information will be useful for further comparisons of the two models with experiments
Exact field-theoretical description of passive scalar convection in an n-dimensional long range velocity field
No full textQuantitative analysis of vascular structures geometry using neural networks
No full textVascularization is defined as the sprouting of new blood vessels by expansion of the endothelium by proliferation, migration and remodeling. Vascularization is fundamental to healing, reproduction as well as embryonic development. It also plays a key role in tumor growth, tumor metastasis and other pathological processes. Understanding biological phenomena driving the creation of vascular structures is therefore essential for clinical treatment of cancer and other vascularization-related diseases. Recently, an analytical model capable of mimicking the process of in-vitro vascular network creation from randomly seeded endothelial cells has also been proposed. This paper presents the development of a novel neural network based segmentation technique working on phase contrast microscopy snap photographs of cultured endothelial cells which allows for cell structures geometry quantitative analysis thus constituting a key instrument in the development of computerized tools for vascularization parameters measurement as well as supporting also analytical model deployment and validation
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