Multifunctions determined by integrable functions

Integral properties of multifunctions determined by vector valued functions are presented. Such multifunctions quite often serve as examples and counterexamples. In particular it can be observed that the properties of being integrable in the sense of Bochner, McShane or Birkhoff can be transferred to the generated multifunction while Henstock integrability does not guarantee i

A Girsanov Result through Birkhoff Integral

A vector-valued version of the Girsanov theorem is presented, for a scalar process with respect to a Banach-valued measure. Previously, a short discussion about the Birkhoff-type integration is outlined, as for example integration by substitution, in order to fix the measure-theoretic tools needed for the main result, Theorem 6, where a martingale equivalent to the underlying vector probability has been obtained in order to represent the modified process as a martingale with the same marginals as the original one

Riemann-Stieltjes integration in Riesz spaces

After introducing an integral for Riesz-space valued integral functions, this concept is used to represent the variation of a continuous function, to define integrals along a curve and Riemann-Stieltjes integrals, and to deduce from them, as particular cases, some kinds of stochastic integral

Stieltjes-Type Integrals for Metric Semigroup-Valued Functions Defined on Unbounded Intervals

Abstract We introduce the GH k integral for functions defined on (possibly) unbounded subintervals of the extended real line and with values in metric semigroups. Basic properties and convergence theorems for this integral are deduced

Toward the Rational Design of Lipid Gene Vectors: Shape Coupling between Lipoplex and Anionic Cellular Lipids Controls the Phase Evolution of Lipoplexes and the Efficiency of DNA Release

A viewpoint now emerging is that a critical factor in lipid-mediated transfection (lipofection) is the structural evolution of lipoplexes upon Interaction with anionic cellular lipids, resulting in DNA release At the early stages of interaction, We found a universal behavior of lipoplex/anionic lipid (AL) Mixtures the lipoplex structure is slightly perturbed, while the one-dimensional DNA lattice between cationic membranes is largely diluted by ALs This finding is in excellent agreement with previous Suggestions on the mechanism of DNA unbinding from lipoplexes by ALs Upon further interaction, the propensity of a given lipoplex structure to be solubilized by anionic cellular lipids strongly depends on the shape coupling between lipoplex and ALs Furthermore. we investigated the effect of the membrane charge density and a general correlation resulted the higher the membrane charge density of anionic membranes, the higher their ability to solubilize the structure of lipoplexes and to promote DNA release Lastly, the fort-nation of nonlamellar phases in lipoplex/AL mixtures is regulated by the propensity of anionic cellular lipids to adopt nonlamellar phases Remarkably. also phase transition rates and [DNA release were found to be strongly affected by the shape coupling between lipoplex and ALs. It thus seems likely that the structural and phase evolution of lipoplexes may only be meaningful in the context of specific anionic cellular membranes These results highlight the phase properties of the carrier lipid/cellular lipid Mixtures as a decisive factor for optimal DNA release and suggest a potential strategy for the rational design of efficient cationic lipid carrier

Tailoring lipoplex composition to the lipid composition of plasma membrane: a Trojan horse for cell entry?

The first interaction between lipoplexes and cells is charge-mediated and not specific. Endocytosis is considered to be the main pathway for lipoplex entry. Upon interaction between lipoplexes and the plasma membrane, intermixing between lipoplex and membrane lipids is necessary for efficient endocytosis. Here we study the mechanism of the different endocytic pathways in lipid-mediated gene delivery. We show that DC-Chol-DOPE/DNA lipoplexes preferentially use a raftmediated endocytosis, while DOTAP-DOPC/DNA systems are mainly internalized by not specific fluid phase macropinocitosys. On the other hand, most efficient multicomponent lipoplexes, incorporating different lipid species in their lipid bilayer, can use multiple endocytic pathways to enter cells.Our data demonstrate that efficiency of endocytosis is regulated by shape coupling between lipoplex and membrane lipids. We suggest that such a shape-dependent coupling regulates efficient formation of endocytic vesicles thus determining the success of internalization. Our results suggest that tailoring the lipoplex lipid composition to the patchwork-like plasma membrane profile could be a successful machinery of coordinating the endocytic pathway activities and the subsequent intracellular processing

Non periodic patterning of super-hydrophobic surfaces for the manipulation of few molecules

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Predicting WNV circulation in Italy using earth observation data and extreme gradient boosting model

West Nile Disease (WND) is one of the most spread zoonosis in Italy and Europe caused by a vector-borne virus. Its transmission cycle is well understood, with birds acting as the primary hosts and mosquito vectors transmitting the virus to other birds, while humans and horses are occasional dead-end hosts. Identifying suitable environmental conditions across large areas containing multiple species of potential hosts and vectors can be difficult. The recent and massive availability of Earth Observation data and the continuous development of innovative Machine Learning methods can contribute to automatically identify patterns in big datasets and to make highly accurate identification of areas at risk. In this paper, we investigated the West Nile Virus (WNV) circulation in relation to Land Surface Temperature, Normalized Difference Vegetation Index and Surface Soil Moisture collected during the 160 days before the infection took place, with the aim of evaluating the predictive capacity of lagged remotely sensed variables in the identification of areas at risk for WNV circulation. WNV detection in mosquitoes, birds and horses in 2017, 2018 and 2019, has been collected from the National Information System for Animal Disease Notification. An Extreme Gradient Boosting model was trained with data from 2017 and 2018 and tested for the 2019 epidemic, predicting the spatio-temporal WNV circulation two weeks in advance with an overall accuracy of 0.84. This work lays the basis for a future early warning system that could alert public authorities when climatic and environmental conditions become favourable to the onset and spread of WNV