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The singular Nirenberg problem

I will consider the problem of prescribing the Gaussian curvature (under pointwise conformal change of the metric) on surfaces with conical singularities. This question has been first raised by Troyan...

Make a seismograph with your GPS: from the academic idea to the industrial product

 Abstract: The Global Positioning System, shortened in the acronym GPS, is a quite familiar tool, more or less secretly working into our car navigators and smartphones/tablets, and continuously u...

The ultimate mystery is ourselves: the fascinating challenge of computational biology

Abstract: The computational analysis and interpretation of the wealth of biological data that is being produced every day is a cogent problem in the life sciences. The task can be mapped to an enginee...

HERPES ZOSTER (Exogenous boosting, progressive immunity and the dilemma of mass varicella immunization)

CANCELLATOAbstract: Herpes zoster (HZ) is a painful disease caused by the reactivation of the varicella zoster virus(VZV) as cell mediated  immunity (CMI) goes down (e.g. with ageing). Hope-Simps...

Unicellular swimmers: from mathematical modelling to biology and robotics

Abstract: Euglenids are unicellular aquatic organisms capable of moving either by beating a flagellum or by executing dramatic shape changes. These are accomplished thanks to a complex structure under...

Un modello matematico per le sfere cellulari cardiache (Cardiosfere)

       Abstract:Le cardiosfere sono state descritte per la prima volta da Messina et al. nel 2004, e rappresentano una sorta di microtessuto, di nicchia cellulare di...

Plant and animal stem cells: similar yet different

Abstract: The astonishingly long lives of plants and their regeneration capacity depend on the activity of plant stem cells. As in animals, stem cells reside in stem cell niches, which produce signals...

Comparison principles for admissible viscosity solutions of elliptic branches of fully nonlinear PDE

We will describe a recent approach to treating the validity of comparison principles for weak solutions of scalar second order PDE of the form F(x,u(x),Hu(x)) = 0 under non standard structural conditi...

Nanoparticles under the Mathematical Microscope

Abstract: Several nanoparticles self-assemble from multiple copies of a limited number of building blocks, viruses being the archetypal example in biology. A majority of viruses have a highly ordered ...

A deterministic particle approximation for nonlinear conservation laws

We present recent results on the deterministic particle approximation of non-linear conservation laws. In [1], the unique entropy solution to a scalar conservation law with a given initial datum in Lâ...

Problemi di estensione per operatori frazionari e applicazioni

Seguendo la strategia impiegata da L. Caffarelli e L. Silvestre, la definizione di operatore non locale è data per mezzo della soluzione di una opportuna equazione a derivate parziali definita su un d...