Mo
MA

Modelli   Matematici per
 le Applicazioni

Dipartimento di Matematica, Sapienza, Universitā di Roma

Seminari 2016

Torna ai seminari dell'anno corrente

11 novembre

ore 12.00-14.00

Aula Consiglio
Giuliana Indelicato


Nanoparticles under the Mathematical Microscope


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 protein container (the capsid) that encloses and protects the viral genomic material from the environment. Understanding the structure of these capsids is fundamental to clarify how viruses work and possibly how they can be defeated and, to this purpose, a general classification scheme is needed. For viruses, the theory that identifies the relative position of the proteins was proposed by Caspar and Klug in the sixties and is still the current paradigm in the description of capsids. However, in the last decade scientists have started engineering many different self-assembling protein nanoparticles. The possible applications are manifold and innovative: from vectors for the delivery of genes or drugs to synthetic vaccines. The fast development of this research field poses new challenges for the structural analysis as, in general, synthetic nanoparticles do not fit into the Caspar and Klug’s framework: an original approach is needed to provide blueprints for the experimental determination of their structure. We focus on a de novo class of proteins, referred to as self-assembling protein nanoparticles (SAPNs). This is a family of nanoparticles that provide a versatile platform for synthetic vaccines against a broad range of diseases, including malaria, SARS, influenza and HIV. These nanoparticles self assemble from multiple copies of a polypeptide synthesized to have specific connectivity properties. The polypeptides bind to each other following precise local assembly rules forming groups of five or three polypeptides. To address the problem of elucidating the resulting assembled global structure, we use tools from graph theory. This approach unveils a hidden relation with fullerene geometries and enables a full classification of the high and low symmetry particles seen in experiments. First and foremost, this allows to determine the relative distance of the epitopes on the particle surface and tune the immunogenic effect of the vaccine.


14 ottobre

ore 12.00-14.00

Aula Consiglio
Sabrina Sabatini


Plant and animal stem cells: similar yet different


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 that regulate the balance between self-renewal and the generation of daughter cells that differentiate into new tissues. Plant stem cell niches are located within the meristems, which are organized structures that are responsible for most post-embryonic development. The continuous organ production that is characteristic of plant growth requires a robust regulatory network to keep the balance between pluripotent stem cells and differentiating progeny. Components of this network have now been elucidated and provide a unique opportunity for comparing strategies that were developed in the animal and plant kingdoms, which underlie the logic of stem cell behaviour.

27 maggio

ore 12.00-14.00

Aula Consiglio
Elisa Messina e Roberto Natalini


Un modello matematico per le sfere cellulari cardiache (Cardiosfere)


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 progenitori cardiaci, che, in particolari condizioni di coltura, si genera spontaneamente in vitro a partire da cellule derivate da biopsia cardiaca. Negli ultimi anni la semplicitā di questo metodo per l'isolamento di progenitori cellulari cardiaci e la loro espansione ex vivo sotto forma di sfere cellulari, ha dimostrato di essere una valida tecnologia per la terapia cellulare cardiaca, aprendo nuove opportunitā per la rigenerazione del miocardio danneggiato per patologie acute (ischemia-infarto) o croniche (cardiomiopatie, insufficienza cardiaca di qualsiasi origine), anche se ancora molto resta da fare per migliorare l'applicabilitā clinica. In questa conferenza a due voci, presenteremo le basi biologiche e le problematiche mediche relative alle cardiosfere e un primo modello matematico di tipo ibrido, nato dalla collaborazione tra medici, biotecnologi e matematici, costruito per descrivere alcune fasi del loro sviluppo. In questo modello, le cellule sono trattate a livello discreto, mentre la scala molecolare č descritta a livello continuo. La proliferazione e differenziazione delle cellule č trattata con processi stocastici guidati dai segnali chimici presenti. Spiegheremo in dettaglio la costruzione del modello, partendo dai dati biologici, e mostreremo alcune simulazioni numeriche, confrontandole con i risultati delle esperienze di laboratorio.

22 aprile

ore 12.00-14.00

Aula Consiglio
Antonio De Simone


Unicellular swimmers: from mathematical modelling to biology and robotics


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 underlying the plasma membrane, made of interlocking proteinaceous strips, microtubules, and motor proteins. We study the mechanisms by which the sliding of pellicle strips leads to shape control and locomotion, by means of both theory (through the mechanics of active surfaces and its coupling to computational fluid dynamics for the surrounding fluid) and experiments. Moreover, we implement them into a new concept of surfaces with programmable shape, obtained by assembling 3d-printed strips in a construct mimicking the biological template. We show that the subtle balance between constraints and flexibility leads to a wide variety of shapes that can be obtained with relatively simple controls. This suggests that euglenids exploit the passive resistance of body parts to reduce the complexity of controlling their shape.

18 marzo

CANCELLATO
Piero Manfredi


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



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-Simpson formulated (1965) the “exogenous boosting” hypothesis (EBH), according to which further infective exposures to VZV may boost CMI, resulting in a protective effect against HZ. Inclusion of the exogenous boosting hypothesis in VZV transmission models predicts a large transient wave in natural HZ incidence following mass varicella immunization. The fear of this HZ “boom” is a main responsible of the current stall of varicella vaccination in Europe. In this talk, I summarize recent results from a model incorporating a further noteworthy Hope-Simpson’s hypothesis, stating that each VZV reexposure increases CMI protection against HZ to levels higher than those conferred by previous ones. The “progressive immunity” model fits well available European HZ data, suggesting that the mechanism may be critical in shaping HZ patterns. The model suggests counter-intuitive implications of varicella immunization in relation to vaccine-related HZ and the epidemiology of HZ after varicella elimination. I conclude by discussing the challenges for future VZV research.

26 febbraio

ore 12.00-14.00

Aula Consiglio
Anna Tramontano


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

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 engineering project were we need to have the parts list, understand their tolerance thresholds, find the assembly instruction and, finally, simulate its behaviour.
Determining the identity and function of all of the sequence elements in human DNA is a daunting challenge that can be approached with various techniques, mainly based on statistics and evolutionary considerations. The next challenge is to correlate variations in the genes and the insurgence of diseases: the human variation data are accumulating with unprecedented speed and they need to be interpreted in order to open the road to their use in medical settings. The assembly of the biological elements, for example, protein-protein interactions are at the basis of most cellular processes and crucial for many bio-technological applications. During the last few years the development of high-throughput technologies has produced several large-scale protein-interaction data sets for various organisms. It is important to develop tools for dissecting their content and analyse the information they contain using data-integration and computational methods. Finally, one would like to simulate the behaviour of whole cells or even whole organs. This area of research is still at its infancy, but it is important to pursue its goals, even with limited and incomplete data.
In our discussion, I will outline which are the main challenges in pursuing the fascinating goal of understanding life at the molecular level.
5 febbraio

ore 12.00-14.00

Aula Consiglio
Mattia Crespi


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

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 used together with a cartographic information in order to find and move to places of our interest.
GPS and cartography, which are now pervading our life, give us the opportunity to taste a discipline traditionally called Geodesy, as ancient as the famous Alessandria Library, continuously renovated over centuries and dramatically boosted again in the era of the artificial satellites, and now being the noble root of a new discipline called Geomatics. GPS plays a central role in science and technology too, and now it can supply valuable information for civil protection against a number of natural hazards, including tsunamis. In this respect, the Positioning Group at the Geodesy and Geomatics Division faced a scientific and technological challenge launched in 2007, in the frame of a long scientific debate started after the great Sumatra-Andaman Islands earthquake (December 26, 2004, Magnitude 9.1), and invented an algorithm called VADASE, nationally and internationally patented by Sapienza.
VADASE transforms GPS in a seismograph, contributing to evaluate, in real-time and in 3D, the ground shaking style induced by an earthquake, crucial to understand if a devastating tsunami can be generated.
Recently (September 2, 2015) VADASE became an industrial product, after a long cooperation and a formal agreement between Sapienza and Leica Geosystems AG, a Swiss company worldwide leader in Geomatics and GPS manufacturing. The aim of the speech is just to recall VADASE story, out of technicalities, and to draw future research and technology transfer prospects.

Are you curious about VADASE? Please browse www.vadase.eu

And about Geomatics? Take the benefit for a review on Geomatics of the open access to Geodesy and Geomatics: the cutting edge - Rendiconti Lincei