Non-Markovian stochastic processes and their applications: from anomalous diffusion to time series analysis

This work provides a forward step in the study and comprehension of the relationships between stochastic processes and a certain class of integral-partial differential equation, which can be used in order to model anomalous diffusion and transport in statistical physics. In the first part, we brought the reader through the fundamental notions of probability and stochastic processes, stochastic integration and stochastic differential equations as well. In particular, within the study of H-sssi processes, we focused on fractional Brownian motion (fBm) and its discrete-time increment process, the fractional Gaussian noise (fGn), which provide examples of non-Markovian Gaussian processes. The fGn, together with stationary FARIMA processes, is widely used in the modeling and estimation of long-memory, or long-range dependence (LRD). Time series manifesting long-range dependence, are often observed in nature especially in physics, meteorology, climatology, but also in hydrology, geophysics, economy and many others. We deepely studied LRD, giving many real data examples, providing statistical analysis and introducing parametric methods of estimation. Then, we introduced the theory of fractional integrals and derivatives, which indeed turns out to be very appropriate for studying and modeling systems with long-memory properties. After having introduced the basics concepts, we provided many examples and applications. For instance, we investigated the relaxation equation with distributed order time-fractional derivatives, which describes models characterized by a strong memory component and can be used to model relaxation in complex systems, which deviates from the classical exponential Debye pattern. Then, we focused in the study of generalizations of the standard diffusion equation, by passing through the preliminary study of the fractional forward drift equation. Such generalizations have been obtained by using fractional integrals and derivatives of distributed orders. In order to find a connection between the anomalous diffusion described by these equations and the long-range dependence, we introduced and studied the generalized grey Brownian motion (ggBm), which is actually a parametric class of H-sssi processes, which have indeed marginal probability density function evolving in time according to a partial integro-differential equation of fractional type. The ggBm is of course Non-Markovian. All around the work, we have remarked many times that, starting from a master equation of a probability density function f(x,t), it is always possible to define an equivalence class of stochastic processes with the same marginal density function f(x,t). All these processes provide suitable stochastic models for the starting equation. Studying the ggBm, we just focused on a subclass made up of processes with stationary increments. The ggBm has been defined canonically in the so called grey noise space. However, we have been able to provide a characterization notwithstanding the underline probability space. We also pointed out that that the generalized grey Brownian motion is a direct generalization of a Gaussian process and in particular it generalizes Brownain motion and fractional Brownain motion as well. Finally, we introduced and analyzed a more general class of diffusion type equations related to certain non-Markovian stochastic processes. We started from the forward drift equation, which have been made non-local in time by the introduction of a suitable chosen memory kernel K(t). The resulting non-Markovian equation has been interpreted in a natural way as the evolution equation of the marginal density function of a random time process l(t). We then consider the subordinated process Y(t)=X(l(t)) where X(t) is a Markovian diffusion. The corresponding time-evolution of the marginal density function of Y(t) is governed by a non-Markovian Fokker-Planck equation which involves the same memory kernel K(t). We developed several applications and derived the exact solutions. Moreover, we considered different stochastic models for the given equations, providing path simulations.

Il dolore oncologico come malattia nella malattia. Una ricerca nazionale sulle donne con tumore al seno

L’ipotesi di fondo su cui si basa l’intero lavoro è che il dolore oncologico debba essere riconosciuto come “malattia nella malattia”: non si può considerare tale dolore mero “sintomo” del cancro ma esperienza totale che coinvolge l’intera persona. Il dolore oncologico è carico di valenze e significati personali, è associato a rappresentazioni sociali e, come ogni malattia, è disease, illness e sickness. Partendo da questo presupposto, la dissertazione si è posta come obiettivo generale quello di studiare il dolore oncologico tra le donne con tumore al seno, le sue componenti sociali, psicologiche, individuali oltre che fisiche; si è voluto inoltre studiare la specificità del vissuto e dei significati associati all’esperienza dolorosa. Il lavoro è articolato in due parti fondamentali, una teorica ed una empirica. La prima presenta un inquadramento dei principali concetti della sociologia della salute riguardanti il dolore. Per quanto riguarda la parte empirica, si è fatto ricorso ad una ricerca mista, fatta di metodi misti e fondata su un approccio metodologico di natura integrativa che si avvale di tecniche quantitative e qualitative. La parte quantitativa si basa su una parte dei dati della ricerca nazionale ESOPO - Epidemiological Study of Pain in Oncology. Dall’intero campione sono state isolate le sole donne con tumore al seno (n=846). Si è proceduto quindi allo studio di tale campione, alle elaborazioni statistiche con il programma SPSS e all’interpretazione dei risultati. Per quanto riguarda la parte qualitativa, invece, è stata condotta un’analisi delle fonti che si è avvalsa di un approccio netnografico: è stata condotta un’osservazione non intrusiva di 12 blog scritti da donne con tumore al seno, con lo scopo di indagare le narrazioni di malattia, i vissuti personali, i significati di dolore e malattia e le loro ripercussioni sulla vita quotidiana.

La telemedicina : innovazione tecnologica e culturale

La Telemedicina come risposta tecnologica al necessario cambiamento del Sistema Sanitario Nazionale. Vantaggi e criticità.

Uptake mechanism, intracellular trafficking and endo-lysosomal pH monitoring of polystyrene nanoparticles

What is the intracellular fate of nanoparticles (NPs) taken up by the cells? This question has been investigated for polystyrene NPs of different sizes with a set of molecular biological and biophysical techniques.rnTwo sets of fluorescent NPs, cationic and non-ionic, were synthesized with three different polymerization techniques. Non-ionic particles (132 – 846 nm) were synthesized with dispersion polymerization in an ethanol/water solution. Cationic NPs with 120 nm were synthesized by miniemulsion polymerization Particles with 208, 267 and 603 nm were produced by seeding the 120 nm particle obtained by miniemulsion polymerization with drop-wise added monomer and polymerization of such. The colloidal characterization of all particles showed a comparable amount of the surface groups. In addition, particles were characterized with regard to their size, morphology, solid content, amount of incorporated fluorescent dye and zeta potential. The fluorescent intensities of all particles were measured by fluorescence spectroscopy for calibration in further cellular experiments. rnThe uptake of the NPs to HeLa cells after 1 – 24 h revealed a much higher uptake of cationic NPs in comparison to non-ionic NPs. If the same amount of NPs with different sizes is introduced to the cell, a different amount of particles is present in the cell medium, which complicates a comparison of the uptake. The same conclusion is valid for the particles’ overall surface area. Therefore, HeLa cells were incubated with the same concentration, amount and surface area of NPs. It was found that with the same concentration always the same polymer amount is taking up by cells. However, the amount of particles taken up decreases for the biggest. A correlation to the surface area could not be found. We conclude that particles are endocytosed by an excavator-shovel like mechanism, which does not distinguish between different sizes, but is only dependent on the volume that is taken up. For the decreased amount of large particles, an overload of this mechanism was assumed, which leads to a decrease in the uptake. rnThe participation of specific endocytotic processes has been determined by the use of pharmacological inhibitors, immunocytological staining and immunofluorescence. The uptake of NPs into the endo-lysosomal machinery is dominated by a caveolin-mediated endocytosis. Other pathways, which include macropinocytosis and a dynamin-dependent mechanism but exclude clathrin mediated endocytosis, also occur as competing processes. All particles can be found to some extent in early endosomes, but only bigger particles were proven to localize in late endosomes. No particles were found in lysosomes; at least not in lysosomes that are labeled with Lamp1 and cathepsin D. However, based on the character of the performed experiment, a localization of particles in lysosomes cannot be excluded.rnDuring their ripening process, vesicles undergo a gradual acidification from early over late endosomes to lysosomes. It is hypothesized that NPs in endo-lysosomal compartments experience the same change in pH value. To probe the environmental pH of NPs after endocytosis, the pH-sensitive dye SNARF-4F was grafted onto amino functionalized polystyrene NPs. The pH value is a ratio function of the two emission wavelengths of the protonated and deprotonated form of the dye and is hence independent of concentration changes. The particles were synthesized by the aforementioned miniemulsion polymerization with the addition of the amino functionalized copolymer AEMH. The immobilization of SNARF-4F was performed by an EDC-coupling reaction. The amount of physically adsorbed dye in comparison to covalently bonded dye was 15% as determined by precipitation of the NPs in methanol, which is a very good solvent for SNARF-4F. To determine influences of cellular proteins on the fluorescence properties, a intracellular calibration fit was established with platereader measurements and cLSM imaging by the cell-penetrable SNARF-4F AM ester. Ionophores equilibrated the extracellular and intracellular pH.rnSNARF-4F NPs were taken up well by HeLa cells and showed no toxic effects. The pH environment of SNARF-4F NPs has been qualitatively imaged as a movie over a time period up to 1 h in pseudo-colors by a self-written automated batch program. Quantification revealed an acidification process until pH value of 4.5 over 24 h, which is much slower than the transport of nutrients to lysosomes. NPs are present in early endosomes after min. 1 h, in late endosomes at approx. 8 h and end up in vesicles with a pH value typical for lysosomes after > 24 h. We therefore assume that NPs bear a unique endocytotic mechanism, at least with regards to the kinetic involvedrn

Psychological Interventions for Infertile Couples: Does Gender Matter?

Purpose: Gender-specific differences exist between male and female infertility patients' mental health, the meaning of infertility in their lives, and the coping strategies used. This systematic review examines whether gender-specific aspects are addressed in psychological intervention studies for infertility and whether infertile women and men benefit equally from such interventions. Methods: Databases were searched to identify relevant articles published between 1978 and 2007 (384 articles). The review included both controlled and uncontrolled psychological intervention studies examining results for infertile women and men separately. Outcome measures (depressive symptoms, anxiety, and mental distress) and gender-specific baseline characteristics (mental distress at pre-assessment, cause of infertility, and medical treatment) were collected. A total of twelve studies were finally included. Results: In 10 of 12 studies, women exhibited higher levels of mental distress than men. Gender-specific aspects were not addressed in the psychological interventions. Examining the efficacy of psychological interventions revealed that women exhibited stronger positive mental health effects in 2 of the 12 studies. Conclusion: Psychological distress before psychological treatment seems more pronounced in women than in men. Therefore psychological interventions for infertile couples should take gender-specific aspects into account. More research is needed to address the gender-specific aspects regarding psychological interventions for infertility.

Oxygen transport and mitochondrial function in porcine septic shock, cardiogenic shock, and hypoxaemia

The relevance of tissue oxygenation in the pathogenesis of organ dysfunction during sepsis is controversial. We compared oxygen transport, lactate metabolism, and mitochondrial function in pigs with septic shock, cardiogenic shock, or hypoxic hypoxia.