Master Equation: Biological Applications and Thermodynamic Description

It is well known that many realistic mathematical models of biological systems, such as cell growth, cellular development and differentiation, gene expression, gene regulatory networks, enzyme cascades, synaptic plasticity, aging and population growth need to include stochasticity. These systems are not isolated, but rather subject to intrinsic and extrinsic fluctuations, which leads to a quasi equilibrium state (homeostasis). The natural framework is provided by Markov processes and the Master equation (ME) describes the temporal evolution of the probability of each state, specified by the number of units of each species. The ME is a relevant tool for modeling realistic biological systems and allow also to explore the behavior of open systems. These systems may exhibit not only the classical thermodynamic equilibrium states but also the nonequilibrium steady states (NESS). This thesis deals with biological problems that can be treat with the Master equation and also with its thermodynamic consequences. It is organized into six chapters with four new scientific works, which are grouped in two parts: (1) Biological applications of the Master equation: deals with the stochastic properties of a toggle switch, involving a protein compound and a miRNA cluster, known to control the eukaryotic cell cycle and possibly involved in oncogenesis and with the propose of a one parameter family of master equations for the evolution of a population having the logistic equation as mean field limit. (2) Nonequilibrium thermodynamics in terms of the Master equation: where we study the dynamical role of chemical fluxes that characterize the NESS of a chemical network and we propose a one parameter parametrization of BCM learning, that was originally proposed to describe plasticity processes, to study the differences between systems in DB and NESS.

Studio delle citochine nella distrofia muscolare di Emery-Dreifuss: Possibili marker patogenetici e bersagli di cura della malattia

La distrofia muscolare di Emery-Dreifuss (EDMD) è una miopatia degenerativa ereditaria caratterizzata da debolezza e atrofia dei muscoli senza coinvolgimento del sistema nervoso. Individui EDMD presentano, inoltre, cardiomiopatia con difetto di conduzione che provoca rischio di morte improvvisa. Diversi studi evidenziano un coinvolgimento di citochine in diverse distrofie muscolari causanti infiammazione cronica, riassorbimento osseo, necrosi cellulare. Abbiamo effettuato una valutazione simultanea della concentrazione di citochine, chemochine, fattori di crescita, presenti nel siero di un gruppo di 25 pazienti EDMD. L’analisi effettuata ha evidenziato un aumento di citochine quali IL-17, TGFβ2, INF-γ e del TGFβ1. Inoltre, una riduzione del fattore di crescita VEGF e della chemochina RANTES è stata rilevata nel siero dei pazienti EDMD rispetto ai pazienti controllo. Ulteriori analisi effettuate tramite saggio ELISA hanno evidenziato un aumento dei livelli di TGFβ2 e IL-6 nel terreno di coltura di fibroblasti EDMD2. Per testare l’effetto nei muscoli, di citochine alterate, abbiamo utilizzato terreno condizionante di fibroblasti EDMD per differenziare mioblasti murini C2C12. Una riduzione del grado di differenziamento è stata osservata nei mioblasti condizionati con terreno EDMD. Trattando queste cellule con anticorpi neutralizzanti contro TGFβ2 e IL-6 si è avuto un miglioramento del grado di differenziamento. In C2C12 che esprimevano la mutazione H222P del gene Lmna,non sono state osservate alterazioni di citochine e benefici di anticorpi neutralizzanti. I dati mostrano un effetto patogenetico delle citochine alterate come osservato in fibroblasti e siero di pazienti, suggerendo un effetto sul tessuto fibrotico di muscoli EDMD. Un effetto intrinseco alla mutazione della lamina A è stato rilevato sul espressione di caveolina 3 in mioblasti differenziati EDMD. I risultati si aggiungono a dati forniti sulla patogenesi dell' EDMD confermando che fattori intrinseci ed estrinseci contribuiscono alla malattia. Utilizzo di anticorpi neutralizzanti specifici contro fattori estrinseci potrebbe rappresentare un approccio terapeutico come mostrato in questo studio.

Studio sulla perfusione di fegato e milza in animali non convenzionali mediante ecografia e tomografia computerizzata (TC) con mezzo di contrasto

Il presente studio rappresenta la prima applicazione della tecnica CEUS in alcune delle più diffuse specie non convenzionali, nonché la prima nei rettili. In particolare è stata investigata la perfusione di fegato e milza in 10 conigli, 10 furetti e il fegato in 8 iguane. Per quanto riguarda i mammiferi, la tecnica è risultata di facile attuazione e i risultati ottenuti erano equiparabili a quelli documentati per i piccoli animali. Maggiore variabilità si è messa in evidenza a livello splenico in entrambe le specie e nel coniglio rispetto al furetto. Nelle iguane è stata necessaria una modifica del protocollo a seguito dei tempi più lunghi delle fasi di wash in e di wash out. Le curve ottenute erano caratterizzate da picchi più bassi e TTP più lunghi, con wash out incompleto anche dopo 10 minuti di indagine. Nelle iguane l’indagine del fegato è stata approfondita grazie all’esecuzione di TC dinamiche con MDC, studio pioneristico per quanto riguarda la medicina dei rettili. L’esecuzione è avvenuta senza problemi in anestesia generale. Diffusione del MDC e conseguenti variazione di HU a livello aortico e epatico sono state considerate contemporaneamente, con costruzione di curve HU-tempo piuttosto ripetibili, entrambe caratterizzate da un wash in rapido, un picco, particolarmente alto a livello aortico, e da una fase di wash out più lento, anche qui incompleto dopo i 600 secondi di indagine. Una certa variabilità è stata notata in tre individui, risultato attendibile conseguentemente alla forte dipendenza da fattori intriseci ed estrinseci del metabolismo e della funzionalità epatica dei rettili. L’intero protocollo è stato applicato in un furetto e due iguane patologiche, al fine di evidenziare le potenzialità cliniche delle tecniche. Sebbene il numero esiguo di casi non permetta di trarre conclusioni a questo riguardo, l’ultimo capitolo della tesi vuole essere uno spunto per studi futuri.

Models and methods for power monolithic microwave integrated circuits

Computer aided design of Monolithic Microwave Integrated Circuits (MMICs) depends critically on active device models that are accurate, computationally efficient, and easily extracted from measurements or device simulators. Empirical models of active electron devices, which are based on actual device measurements, do not provide a detailed description of the electron device physics. However they are numerically efficient and quite accurate. These characteristics make them very suitable for MMIC design in the framework of commercially available CAD tools. In the empirical model formulation it is very important to separate linear memory effects (parasitic effects) from the nonlinear effects (intrinsic effects). Thus an empirical active device model is generally described by an extrinsic linear part which accounts for the parasitic passive structures connecting the nonlinear intrinsic electron device to the external world. An important task circuit designers deal with is evaluating the ultimate potential of a device for specific applications. In fact once the technology has been selected, the designer would choose the best device for the particular application and the best device for the different blocks composing the overall MMIC. Thus in order to accurately reproducing the behaviour of different-in-size devices, good scalability properties of the model are necessarily required. Another important aspect of empirical modelling of electron devices is the mathematical (or equivalent circuit) description of the nonlinearities inherently associated with the intrinsic device. Once the model has been defined, the proper measurements for the characterization of the device are performed in order to identify the model. Hence, the correct measurement of the device nonlinear characteristics (in the device characterization phase) and their reconstruction (in the identification or even simulation phase) are two of the more important aspects of empirical modelling. This thesis presents an original contribution to nonlinear electron device empirical modelling treating the issues of model scalability and reconstruction of the device nonlinear characteristics. The scalability of an empirical model strictly depends on the scalability of the linear extrinsic parasitic network, which should possibly maintain the link between technological process parameters and the corresponding device electrical response. Since lumped parasitic networks, together with simple linear scaling rules, cannot provide accurate scalable models, either complicate technology-dependent scaling rules or computationally inefficient distributed models are available in literature. This thesis shows how the above mentioned problems can be avoided through the use of commercially available electromagnetic (EM) simulators. They enable the actual device geometry and material stratification, as well as losses in the dielectrics and electrodes, to be taken into account for any given device structure and size, providing an accurate description of the parasitic effects which occur in the device passive structure. It is shown how the electron device behaviour can be described as an equivalent two-port intrinsic nonlinear block connected to a linear distributed four-port passive parasitic network, which is identified by means of the EM simulation of the device layout, allowing for better frequency extrapolation and scalability properties than conventional empirical models. Concerning the issue of the reconstruction of the nonlinear electron device characteristics, a data approximation algorithm has been developed for the exploitation in the framework of empirical table look-up nonlinear models. Such an approach is based on the strong analogy between timedomain signal reconstruction from a set of samples and the continuous approximation of device nonlinear characteristics on the basis of a finite grid of measurements. According to this criterion, nonlinear empirical device modelling can be carried out by using, in the sampled voltage domain, typical methods of the time-domain sampling theory.

Intrinsic uncoupling in the ATP synthase of Escherichia coli. Studies on WT and ε-truncated mutants

The H+/ATP ratio in the catalysis of ATP synthase has generally been considered a fixed parameter. However, Melandri and coworkers have recently shown that, in the ATP synthase of the photosynthetic bacterium Rb.capsulatus, this ratio can significantly decrease during ATP hydrolysis when the concentration of either ADP or Pi is maintained at a low level (Turina et al., 2004). The present work has dealt with the ATP synthase of E.coli, looking for evidence of this phenomenon of intrinsic uncoupling in this organism as well. First of all, we have shown that the DCCD-sensitive ATP hydrolysis activity of E.coli internal membranes was strongly inhibited by ADP and Pi, with a half-maximal effect in the submicromolar range for ADP and at 140 µM for Pi. In contrast to this monotonic inhibition, however, the proton pumping activity of the enzyme, as estimated under the same conditions by the fluorescence quenching of the ΔpH-sensitive probe ACMA, showed a clearly biphasic progression, both for Pi, increasing from 0 up to approximately 200 µM, and for ADP, increasing from 0 up to a few µM. We have interpreted these results as indicating that the occupancy of ADP and Pi binding sites shifts the enzyme from a partially uncoupled state to a fully coupled state, and we expect that the ADP- and Pi-modulated intrinsic uncoupling is likely to be a general feature of prokaryotic ATP synthases. Moreover, the biphasicity of the proton pumping data suggested that two Pi binding sites are involved. In order to verify whether the same behaviour could be observed in the isolated enzyme, we have purified the ATP synthase of E.coli and reconstituted it into liposomes. Similarly as observed in the internal membrane preparation, in the isolated and reconstituted enzyme it was possible to observe inhibition of the hydrolytic activity by ADP and Pi (with half-maximal effects at few µM for ADP and at 400 µM for Pi) with a concomitant stimulation of proton pumping. Both the inhibition of ATP hydrolysis and the stimulation of proton pumping as a function of Pi were lost upon ADP removal by an ADP trap. These data have made it possible to conclude that the results obtained in E.coli internal membranes are not due to the artefactual interference of enzymatic activities other than the ones of the ATP synthase. In addition, data obtained with liposomes have allowed a calibration of the ACMA signal by ΔpH transitions of known extent, leading to a quantitative evaluation of the proton pumping data. Finally, we have focused our efforts on searching for a possible structural candidate involved in the phenomenon of intrinsic uncoupling. The ε-subunit of the ATP-synthase is known as an endogenous inhibitor of the hydrolysis activity of the complex and appears to undergo drastic conformational changes between a non-inhibitory form (down-state) and an inhibitory form (up-state)(Rodgers & Wilce, 2000; Gibbons et al., 2000). In addition, the results of Cipriano & Dunn (2006) indicated that the C-terminal domain of this subunit played an important role in the coupling mechanism of the pump, and those of Capaldi et al. (2001), Suzuki et al. (2003) were consistent with the down-state showing a higher hydrolysis-to-synthesis ratio than the up-state. Therefore, we decided to search for modulation of pumping efficiency in a C-terminally truncated ε mutant. A low copy number expression vector has been built, carrying an extra copy of uncC, with the aim of generating an ε-overexpressing E.coli strain in which normal levels of assembly of the mutated ATP-synthase complex would be promoted. We have then compared the ATP hydrolysis and the proton pumping activity in membranes prepared from these ε-overexpressing E.coli strains, which carried either the WT ε subunit or the ε88-stop truncated form. Both strains yielded well energized membranes. Noticeably, they showed a marked difference in the inhibition of hydrolysis by Pi, this effect being largely lost in the truncated mutant. However, pre-incubation of the mutated enzyme with ADP at low nanomolar concentrations (apparent Kd = 0.7nM) restored the hydrolysis inhibition, together with the modulation of intrinsic uncoupling by Pi, indicating that, contrary to wild-type, during membrane preparation the truncated mutant had lost the ADP bound at this high-affinity site, evidently due to a lower affinity (and/or higher release) for ADP of the mutant relative to wild type. Therefore, one of the effects of the C-terminal domain of ε appears to be to modulate the affinity of at least one of the binding sites for ADP. The lack of this domain does not appear so much to influence the modulability of coupling efficiency, but instead the extent of this modulation. At higher preincubated ADP concentrations (apparent Kd = 117nM), the only observed effects were inhibition of both hydrolysis and synthesis, providing a direct proof that two ADP-binding sites on the enzyme are involved in the inhibition of hydrolysis, of which only the one at higher affinity also modulates the coupling efficiency.

Down Syndrome: Neuropsychological phenotype and mitochondrial DNA

Introduction. Down Syndrome (DS) is the most known autosomal trisomy, due to the presence in three copies of chromosome 21. Many studies were designed to identify phenotypic and clinical consequences related to the triple gene dosage. However, the general conclusion is a senescent phenotype; in particular, the most features of physiological aging, such as skin and hair changes, vision and hearing impairments, thyroid dysfunction, Alzheimer-like dementia, congenital heart defects, gastrointestinal malformations, immune system changes, appear in DS earlier than in normal age-matched subjects. The only established risk factor for the DS is advanced maternal age, responsible for changes in the meiosis of oocytes, in particular the meiotic nondisjunction of chromosome 21. In this process mitochondria play an important role since mitochondrial dysfunction, due to a variety of extrinsic and intrinsic influences, can profoundly influence the level of ATP generation in oocytes, required for a correct chromosomal segregation. Aim. The aim of this study is to investigate an integrated set of molecular genetic parameters (sequencing of complete mtDNA, heteroplasmy of the mtDNA control region, genotypes of APOE gene) in order to identify a possible association with the early neurocognitive decline observed in DS. Results. MtDNA point mutations do not accumulate with age in our study sample and do not correlate with early neurocognitive decline of DS subjects. It seems that D-loop heteroplasmy is largely not inherited and tends to accumulate somatically. Furthermore, in our study sample no association of cognitive impairment and ApoE genotype is found. Conclusions. Overall, our data cast some doubts on the involvement of these mutations in the decline of cognitive functions observed in DS.

Interfacial interactions, charge transport and growth phenomena in Organic Field Effect Transistors

Organic electronics is an emerging field with a vast number of applications having high potential for commercial success. Although an enormous progress has been made in this research area, many organic electronic applications such as organic opto-electronic devices, organic field effect transistors and organic bioelectronic devices still require further optimization to fulfill the requirements for successful commercialization. The main bottle neck that hinders large scale production of these devices is their performances and stability. The performance of the organic devices largely depends on the charge transport processes occurring at the interfaces of various material that it is composed of. As a result, the key ingredient needed for a successful improvement in the performance and stability of organic electronic devices is an in-depth knowledge of the interfacial interactions and the charge transport phenomena taking place at different interfaces. The aim of this thesis is to address the role of the various interfaces between different material in determining the charge transport properties of organic devices. In this framework, I chose an Organic Field Effect Transistor (OFET) as a model system to carry out this study as it An OFET offers various interfaces that can be investigated as it is made up of stacked layers of various material. In order to probe the intrinsic properties that governs the charge transport, we have to be able to carry out thorough investigation of the interactions taking place down at the accumulation layer thickness. However, since organic materials are highly instable in ambient conditions, it becomes quite impossible to investigate the intrinsic properties of the material without the influence of extrinsic factors like air, moisture and light. For this reason, I have employed a technique called the in situ real-time electrical characterization technique which enables electrical characterization of the OFET during the growth of the semiconductor.

Interspecies study of the enteric nervous system and related pathologies

The enteric nervous system (ENS) modulates a number of digestive functions including well known ones, i.e. motility, secretion, absorption and blood flow, along with other critically relevant processes, i.e. immune responses of the gastrointestinal (GI) tract, gut microbiota and epithelial barrier . The characterization of the anatomical aspects of the ENS in large mammals and the identification of differences and similarities existing between species may represent a fundamental basis to decipher several digestive GI diseases in humans and animals. In this perspective, the aim of the present thesis is to highlight the ENS anatomical basis and pathological aspects in different mammalian species, such as horses, dogs and humans. Firstly, I designed two anatomical studies in horses:  “Excitatory and inhibitory enteric innervation of horse lower esophageal sphincter”.  “Localization of 5-hydroxytryptamine 4 receptor (5-HT4R) in the equine enteric nervous system”. Then I focused on the enteric dysfunctions, including:  A primary enteric aganglionosis in horses: “Extrinsic innervation of the ileum and pelvic flexure of foals with ileocolonic aganglionosis”.  A diabetic enteric neuropathy in dogs: “Quantification of nitrergic neurons in the myenteric plexus of gastric antrum and ileum of healthy and diabetic dogs”.  An enteric neuropathy in human neurological patients: “Functional and neurochemical abnormalities in patients with Parkinson's disease and chronic constipation”. The physiology of the GI tract is characterized by a high complexity and it is mainly dependent on the control of the intrinsic nervous system. ENS is critical to preserve body homeostasis as reflect by its derangement occurring in pathological conditions that can be lethal or seriously disabling to humans and animals. The knowledge of the anatomy and the pathology of the ENS represents a new important and fascinating topic, which deserves more attention in the veterinary medicine field.