Giovanni Marelli

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Our molecular simulations reveal that wild-type influenza fusion peptides are able to stabilize a highly fusogenic pre-fusion structure, i.e. a peptide bundle formed by four or more trans-membrane arranged fusion peptides. We rationalize that the lipid rim around such bundle has a non-vanishing rim energy (line-tension), which is essential to (i) stabilize(More)
The formation of an hourglass-shaped passage (stalk) connecting two apposed membranes is an essential initial step in membrane fusion. The most probable transition path from two separate membranes to a stalk, i.e., the minimum free-energy path (MFEP), is constructed using a combination of particle simulations and string method. For the reversible transition(More)
Lipid bilayers play a fundamental role in many biological processes, and a considerable effort has been invested in understanding their behavior and the mechanism of topological changes like fusion and pore formation. Due to the time- and length-scale on which these processes occur, computational methods have proven to be an especially useful tool in their(More)
Motivated by mirror symmetry, we consider a Lagrangian fibration X → B and Lagrangian maps f : L →֒ X → B, when L has dimension 2, exhibiting an unstable singularity, and study how their caustic changes, in a neighbourhood of the unstable singularity, when slightly perturbed. The integral curves of ∇fx, for x ∈ B, where fx(y) = f(y)−x ·y, called “gradient(More)
Motivated by mirror symmetry, we consider the Lagrangian fibration R → R and Lagrangian maps f : L →֒ R → R, exhibiting an unstable singularity, and study how the bifurcation locus of gradient lines, the integral curves of ∇fx, for x ∈ B, where fx(y) = f(y) − x · y, changes when f is slightly perturbed. We consider the cases when f is the germ of a fold, of(More)
Given the Lagrangian fibration T 4 → T 2 and a Lagrangian submanifold, exhibiting an elliptic umbilic and supporting a flat line bundle, we study, in the context of mirror symmetry, the “quantum” corrections necessary to solve the monodromy of the holomorphic structure of the mirror bundle on the dual fibration. 2000 Mathematics Subject Classification:(More)
Given, in the Lagrangian torus fibration R → R, a Lagrangian submanifold L, endowed with a trivial flat connection, the corresponding mirror object is constructed on the dual fibration by means of a family of Morse homologies associated to the generating function of L, and it is provided with a holomorphic structure. Morse homology, however, is not defined(More)
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