Impact of T cell receptor affinity on the molecular mechanisms modulating CD8 T cell signalling and function against NY-ESO-1 tumour antigen

It is well established that cytotoxic T lymphocytes play a pivotal role in the protection against intracellular pathogens and tumour cells. Such protective immune responses rely on the specific T cell receptor (TCR)-mediated recognition by CD8 T cells of small antigenic peptides presented in the context of class-I Major Histocompatibility Complex molecules (pMHCs) on the surface of infected or malignant cells. The strength (affinity/avidity) of this interaction is a major correlate of protection. Although tumour-reactive CD8 T cells can be observed in cancer patients, anti-tumour immune responses are often ineffective in controlling or eradicating the disease due to the relative low TCR affinity of these cells. To overcome this limitation, tumour-specific CD8 T cells can be genetically modified to express TCRs of improved binding strength against a defined tumour antigen before adoptive cell transfer into cancer patients. We previously generated a panel of TCRs specific for the cancer-testis antigen NY-ESO-l,57.165 with progressively increased affinities for the pMHC complex, thus providing us with a unique tool to investigate the causal link between the surface expression of such TCRs and T cell activation and function. We recently demonstrated that anti-tumour CD8 T cell reactivity could only be improved within physiological affinity limits, beyond which drastic functional declines were observed, suggesting the presence of multiple regulatory mechanisms limiting T cell activation and function in a TCR affinity-dependent manner. The overarching goal of this thesis was (i) to assess the precise impact of TCR affinity on T cell activation and signalling at the molecular level and (ii) to gain further insights on the mechanisms that regulate and delimitate maximal/optimized CD8 T cell activation and signalling. Specifically, by combining several technical approaches we characterized the activation status of proximal (i.e. CD3Ç, Lek, and ZAP-70) and distal (i.e. ERK1/2) signalling molecules along the TCR affinity gradient. Moreover, we assessed the extent of TCR downmodulation, a critical step for initial T cell activation. CD8 T cells engineered with the optimal TCR affinity variants showed increased activation levels of both proximal and distal signalling molecules when compared to the wild-type T cells. Our analyses also highlighted the "paradoxical" status of tumour-reactive CD8 T cells bearing very high TCR affinities, which retained strong proximal signalling capacity and TCR downmodulation, but were unable to propagate signalling distally (i.e. pERKl/2), resulting in impaired cell-mediated functions. Importantly, these very high affinity T cells displayed maximal levels of SHP-1 and SHP-2 phosphatases, two negative regulatory molecules, and this correlated with a partial pERKl/2 signalling recovery upon pharmacological SHP-l/SHP-2 inhibition. These findings revealed the putative presence of inhibitory regulators of the TCR signalling cascade acting very rapidly following tumour-specific stimulation. Moreover, the very high affinity T cells were only able to transiently express enhanced proximal signalling molecules, suggesting the presence of an additional level of regulation that operates through the activation of negative feedback loops over time, limiting the duration of the TCR-mediated signalling. Overall, the determination of TCR-pMHC binding parameters eliciting optimal CD8 T cell activation, signalling, and effector function while guaranteeing high antigen specificity, together with the identification of critical regulatory mechanisms acting proximally in the TCR signalling cascade, will directly contribute to optimize and support the development of future TCR-based adoptive T cell strategies for the treatment of malignant diseases. -- Les lymphocytes T CD8 cytotoxiques jouent un rôle prédominant dans la protection contre les pathogènes intracellulaires et les cellules tumorales. Ces réponses immunitaires dépendent de la spécificité avec laquelle les récepteurs T (TCR) des lymphocytes CD8 reconnaissent les peptides antigéniques présentés par les molécules du complexe Majeur de Histocompatibilité de classe I (pCMH) à la surface des cellules infectées ou malignes. La force (ou affinité/avidité) de l'interaction du TCR-pCMH est un corrélat majeur de protection. Les réponses immunitaires sont cependant souvent inefficaces et ne permettent pas de contrôler ou d'éliminer les cellules tumorales chez les patients atteint du cancer, et ce à cause de la relative faible reconnaissance des TCRs exprimés par les lymphocytes T CD8 envers les antigènes tumoraux. Afin de surmonter cette limitation, les cellules T anti-tumorales peuvent être génétiquement modifiées en les dotant de TCRs préalablement optimisés afin d'augmenter leur reconnaissance ou affinité contre les antigènes tumoraux, avant leur ré¬infusion dans le patient. Nous avons récemment généré des cellules T CD8 exprimant un panel de TCRs spécifiques pour l'antigène tumoral NY-ESO-l157.16J avec des affinités croissantes, permettant ainsi d'investiguer la causalité directe entre l'affinité du TCR-pCMH et la fonction des cellules T CD8. Nous avons démontré que la réactivité anti-tumorale pouvait être améliorée en augmentant l'affinité du TCR dans une intervalle physiologique, mais au delà duquel nous observons un important déclin fonctionnel. Ces résultats suggèrent la présence de mécanismes de régulation limitant l'activation des cellules T de manière dépendante de l'affinité du TCR. Le but de cette thèse a été (i) de définir l'impact précis de l'affinité du TCR sur l'activation et la signalisation des cellules T CD8 au niveau moléculaire et (ii) d'acquérir de nouvelles connaissances sur les mécanismes qui régulent et délimitent l'activation et la signalisation maximale des cellules T CD8 optimisées. Spécifiquement, en combinant plusieurs approches technologiques, nous avons caractérisé l'état d'activation de différentes protéines de la voie de signalisation proximale (CD3Ç, Lek et ZAP-70) et distale (ERK1/2) le long du gradient d'affinité du TCR, ainsi que l'internalisation du TCR, une étape clef dans l'activation initiale des cellules T. Les lymphocytes T CD8 exprimant des TCRs d'affinité optimale ont montré des niveaux d'activation augmentés des molécules proximales et distales par rapport aux cellules de type sauvage (wild-type). Nos analyses ont également mis en évidence un paradoxe chez les cellules T CD8 équipées avec des TCRs de très haute affinité. En effet, ces cellules anti-tumorales sont capables d'activer leurs circuits biochimiques au niveau proximal et d'internaliser efficacement leur TCR, mais ne parviennent pas à propager les signaux biochimiques dépendants du TCR jusqu'au niveau distal (via phospho-ERKl/2), avec pour conséquence une limitation de leur capacité fonctionnelle. Finalement, nous avons démontré que SHP-1 et SHP-2, deux phosphatases avec des propriétés régulatrices négatives, étaient majoritairement exprimées dans les cellules T CD8 de très hautes affinités. Une récupération partielle des niveaux d'activation de ERK1/2 a pu être observée après l'inhibition pharmacologique de ces phosphatases. Ces découvertes révèlent la présence de régulateurs moléculaires qui inhibent le complexe de signalisation du TCR très rapidement après la stimulation anti-tumorale. De plus, les cellules T de très hautes affinités ne sont capables d'activer les molécules de la cascade de signalisation proximale que de manière transitoire, suggérant ainsi un second niveau de régulation via l'activation de mécanismes de rétroaction prenant place progressivement au cours du temps et limitant la durée de la signalisation dépendante du TCR. En résumé, la détermination des paramètres impliqués dans l'interaction du TCR-pCMH permettant l'activation de voies de signalisation et des fonctions effectrices optimales ainsi que l'identification des mécanismes de régulation au niveau proximal de la cascade de signalisation du TCR contribuent directement à l'optimisation et au développement de stratégies anti-tumorales basées sur l'ingénierie des TCRs pour le traitement des maladies malignes.

Electrometric studies on formation of cerium vanadates as a function of pH

The precise nature of the reaction between nitric acid and sodium ortho-vanadate solutions has been studied by means of electrometric techniques involving potentiometric and conductometric titrations. The well defined inflections and breaks in the titration curves confirm the existence of the anions, pyro-V2O7(4-), meta-VO3- and poly-H2V10O28(4-) corresponding to the ratios of VO4(3-):H+ as 1:1, 1:2 and 1:2.6 in the neighborhood of pH 10.5, 7.4 and 3.6, respectively. The interaction of cerium(III) nitrate with sodium vanadate solutions, at specific pH levels 12.4, 10.5, 7.4 and 3.6 was also studied by potentiometric and conductometric titrations between the reactants. The end-points obtained from the sharp inflections in the titration curves provide definite evidence for the formation and precipitation of cerium ortho-Ce2O3.V2O5, pyro-2Ce2O3.3V2O5 and meta-Ce2O3.3V2O5 vanadates in the neighborhood of pH 7.4, 6.2 and 4.8, respectively. Analytical investigations on the precipitates formed confirm the results of the electrometric study.

Indoor NO2 air pollution and lung function of professional cooks

Studies of cooking-generated NO2 effects are rare in occupational epidemiology. In the present study, we evaluated the lung function of professional cooks exposed to NO2 in hospital kitchens. We performed spirometry in 37 cooks working in four hospital kitchens and estimated the predicted FVC, FEV1 and FEF25-75, based on age, sex, race, weight, and height, according to Knudson standards. NO2 measurements were obtained for 4 consecutive days during 4 different periods at 20-day intervals in each kitchen. Measurements were performed inside and outside the kitchens, simultaneously using Palm diffusion tubes. A time/exposure indicator was defined as representative of the cumulative exposure of each cook. No statistically significant effect of NO2 exposure on FVC was found. Each year of work as a cook corresponded to a decrease in predicted FEV1 of 2.5% (P = 0.046) for the group as a whole. When smoking status and asthma were included in the analysis the effect of time/exposure decreased about 10% and lost statistical significance. On predicted FEF25-75, a decrease of 3.5% (P = 0.035) was observed for the same group and the inclusion of controllers for smoking status and asthma did not affect the effects of time/exposure on pulmonary function parameter. After a 10-year period of work as cooks the participants of the study may present decreases in both predicted FEV1 and FEF25-75 that can reach 20 and 30%, respectively. The present study showed small but statistically significant adverse effects of gas stove exposure on the lung function of professional cooks.

Noninvasive assessment of endothelial function and ST segment changes during exercise testing in coronary artery disease

Endothelial function (EF) plays an important role in the onset and clinical course of atherosclerosis, although its relationship with the presence and extent of coronary artery disease (CAD) has not been well defined. We evaluated EF and the ST segment response to an exercise test in patients with a broad spectrum of CAD defined by coronary angiography. Sixty-two patients submitted to diagnostic catheterization for the evaluation of chest pain or ischemia in a provocative test were divided into three groups according to the presence and severity of atherosclerotic lesions (AL): group 1: normal coronaries (N = 19); group 2: CAD with AL <70% (N = 17); group 3: CAD with AL ≥70% (N = 26). EF was evaluated by the percentage of flow-mediated dilatation (%FMD) in the brachial artery during reactive hyperemia induced by occlusion of the forearm with a pneumatic cuff for 5 min. Fifty-four patients were subjected to an exercise test. Gender and age were not significantly correlated with %FMD. EF was markedly reduced in both groups with CAD (76.5 and 73.1% vs 31.6% in group 1) and a higher frequency of ischemic alterations in the ST segment (70.8%) was observed in the group with obstructive CAD with AL ≥70% during the exercise test. Endothelial dysfunction was observed in patients with CAD, irrespective of the severity of injury. A significantly higher frequency of ischemic alterations in the ST segment was observed in the group with obstructive CAD. EF and exercise ECG differed among the three groups and may provide complementary information for the assessment of CAD.

Effect of metabolic syndrome and of its individual components on renal function of patients with type 2 diabetes mellitus

The objective of this study was to evaluate the effect of metabolic syndrome (MetS) and its individual components on the renal function of patients with type 2 diabetes mellitus (DM). A cross-sectional study was performed in 842 type 2 DM patients. A clinical and laboratory evaluation, including estimated glomerular filtration rate (eGFR) calculated by the modification of diet in renal disease formula, was performed. MetS was defined according to National Cholesterol Education Program - Adult Treatment Panel III criteria. Mean patient age was 57.9 ± 10.1 years and 313 (37.2%) patients were males. MetS was detected in 662 (78.6%) patients. A progressive reduction in eGFR was observed as the number of individual MetS components increased (one: 98.2 ± 30.8; two: 92.9 ± 28.1; three: 84.0 ± 25.1; four: 83.8 ± 28.5, and five: 79.0 ± 23.0; P < 0.001). MetS increased the risk for low eGFR (<60 mL·min-1·1.73 (m²)-1) 2.82-fold (95%CI = 1.55-5.12, P < 0.001). Hypertension (OR = 2.2, 95%CI = 1.39-3.49, P = 0.001) and hypertriglyceridemia (OR = 1.62, 95%CI = 1.19-2.20, P = 0.002) were the individual components with the strongest associations with low eGFR. In conclusion, there is an association between MetS and the reduction of eGFR in patients with type 2 DM, with hypertension and hypertriglyceridemia being the most important contributors in this sample. Interventional studies should be conducted to determine if treatment of MetS can prevent renal failure in type 2 DM patients.

Correlation between heart rate variability and pulmonary function adjusted by confounding factors in healthy adults

The autonomic nervous system maintains homeostasis, which is the state of balance in the body. That balance can be determined simply and noninvasively by evaluating heart rate variability (HRV). However, independently of autonomic control of the heart, HRV can be influenced by other factors, such as respiratory parameters. Little is known about the relationship between HRV and spirometric indices. In this study, our objective was to determine whether HRV correlates with spirometric indices in adults without cardiopulmonary disease, considering the main confounders (e.g., smoking and physical inactivity). In a sample of 119 asymptomatic adults (age 20-80 years), we evaluated forced vital capacity (FVC) and forced expiratory volume in 1 s (FEV1). We evaluated resting HRV indices within a 5-min window in the middle of a 10-min recording period, thereafter analyzing time and frequency domains. To evaluate daily physical activity, we instructed participants to use a triaxial accelerometer for 7 days. Physical inactivity was defined as <150 min/week of moderate to intense physical activity. We found that FVC and FEV1, respectively, correlated significantly with the following aspects of the RR interval: standard deviation of the RR intervals (r =0.31 and 0.35), low-frequency component (r =0.38 and 0.40), and Poincaré plot SD2 (r =0.34 and 0.36). Multivariate regression analysis, adjusted for age, sex, smoking, physical inactivity, and cardiovascular risk, identified the SD2 and dyslipidemia as independent predictors of FVC and FEV1 (R2=0.125 and 0.180, respectively, for both). We conclude that pulmonary function is influenced by autonomic control of cardiovascular function, independently of the main confounders.

Evaluation of metabolic syndrome and associations with inflammation and graft function in renal transplant recipients

INTRODUCTION: Cardiovascular disease (CVD) is a major determinant of mortality in renal transplant recipients (RTR). Metabolic syndrome (MS) and chronic inflammation are currently considered non traditional risk factors for cardiovascular disease. This study evaluates the frequency of these conditions their associations with graft function. OBJECTIVE: To evaluate the prevalence of metabolic syndrome (MS) and inflammation and their associations with graft function in renal transplant recipients. METHODS: A cross-sectional study was carried out with 200 RTR. MS was defined by the NCEP-ATP III criteria. Inflammation was assessed by CRP levels. Renal function was assessed by GFR estimation using the MDRD equation. RESULTS: MS occurred in 71 patients (35.5%). Patients with MS had higher CPR and decreased GFR levels. Inflammation was present in 99 patients (49.5%). Mean waist perimeter, body mass index, triglycerides and serum total cholesterol were significantly higher in inflamed patients. An association between MS and inflammation was demonstrated, 48 (67.6%) patients with MS were inflamed and among those without MS the rate of inflamed patients was 39.5% (51 patients) (p < 0.001). A significantly higher percentage of patients with MS in the group of patients in chronic renal disease stages III and IV was observed. CONCLUSION: In RTR there is a significant association among MS and inflammation. MS is negatively associated with graft function. The clinical implications of these findings must be evaluated in longitudinal studies.

Adherence to Treatment in Psychotic Disorders - Development of user-centered mobile health intervention

The aim of this study was to explore adherence to treatment among people with psychotic disorders through the development of user-centered mobile technology (mHealth) intervention. More specifically, this study investigates treatment adherence as well as mHealth intervention and the factors related to its possible usability. The data were collected from 2010 to 2013. First, patients’ and professionals’ perceptions of adherence management and restrictive factors of adherence were described (n = 61). Second, objectives and methods of the intervention were defined based on focus group interviews and previously used methods. Third, views of patients and professionals about barriers and requirements of the intervention were described (n = 61). Fourth, mHealth intervention was evaluated based on a literature review (n = 2) and patients preferences regarding the intervention (n = 562). Adherence management required support in everyday activities, social networks and maintaining a positive outlook. The factors restricting adherence were related to illness, behavior and the environment. The objective of the intervention was to support the intention to follow the treatment guidelines and recommendations with mHealth technology. The barriers and requirements for the use of the mHealth were related to technology, organizational issues and the users themselves. During the course of the intervention, 33 (6%) out of 562 participants wanted to edit the content, timing or amount of the mHealth tool, and 23 (4%) quit the intervention or study before its conclusion. According to the review, mHealth interventions were ineffective in promoting adherence. Prior to the intervention, participants perceived that adherence could be supported, and the use of mHealth as a part of treatment was seen as an acceptable and efficient method for doing so. In conclusion, the use of mHealth may be feasible among people with psychotic disorders. However, clear evidence for its effectiveness in regards to adherence is still currently inconclusive.

Reactive Hyperemia as endothelial function determinant using plethysmography methods

L’atteinte de la fonction endothéliale représente une phase précoce de l’athérosclérose, un stade où les patients sont généralement asymptomatiques. Il existe donc un intérêt certain à détecter la dysfonction endothéliale. Nous avons développé une technique de mesure des variations de flot artériel au niveau des membres supérieurs, basée sur la spectroscopie proche infrarouge (NIRS). Cette approche permettrait d’étudier le niveau d’atteinte vasculaire et probablement de quantifier le degré de dysfonction endothéliale périphérique lors d’une hyperémie réactive. L'expérience a été exécutée sur deux cohortes de 13 et de 15 patients et a été comparée à la pléthysmographie par jauge de contrainte (SGP) qui est considérée comme une méthode de référence. Par la suite, nous avons caractérisé la réponse endothéliale par modélisation de la courbe hyperémique du flot artériel. Des études préliminaires avaient démontré que la réponse hyperémique adoptait majoritairement une forme bi-modale. Nous avons tenté de séparer les composantes endothéliales-dépendantes et endothéliales-indépendantes de l’hyperémie. La quantification des deux composantes de la réaction hyperémique permet de calculer un indice de la ‘santé’ du système endothélial local. Cet indice est nommé le ηfactor. Les résultats montrent une forte corrélation des mesures de flots entre la technique développée et la méthode de référence (r=0.91). Nous avons conclu que NIRS est une approche précise pour la mesure non-invasive du flot artériel. Nous avons obtenu une bonne répétabilité (ICC = 0.9313) pour le ηfactor indiquant sa robustesse. Cependant des études supplémentaires sont nécessaires pour valider la valeur de diagnostic du facteur défini. Mots clés: hyperémie réactive, réponse myogénique, oxyde nitrique, athérosclérose, spectroscopie proche infrarouge

Modes de représentation pour l'éclairage en synthèse d'images

Réalisé en cotutelle avec l'Université Bordeaux 1 (France)

Efficient estimation using the characteristic function : theory and applications with high frequency data

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Antigen and superantigen presentation as defined by the MHCII-accessory proteins and associated-peptides

MHCII molecules expose a weave of antigens, which send survival or activation signals to T lymphocytes. The ongoing process of peptide binding to the MHC class II groove implicates three accessory molecules: the invariant chain, DM and DO. The invariant chain folds and directs the MHCII molecules to the endosomal pathway. Then, DM exchanges the CLIP peptide, which is a remnant of the degraded invariant chain, for peptides of better affinity. Expressed in highly specialized antigen presenting cells, DO competes with MHCII molecules for DM binding and favors the presentation of receptor-internalized antigens. Altogether, these molecules exhibit potential immunomodulatory properties that can be exploited to increase the potency of peptide vaccines. DO requires DM for maturation and to exit the ER. Interestingly, it is possible to monitor this interaction through a conformation change on DOβ that is recognized by the Mags.DO5 monoclonal antibody. Using Mags.DO5, we showed that DM stabilizes the interactions between the DO α1 and β1 chains and that DM influences DO folding in the ER. Thus, the Mags.DO5+ conformation correlates with DO egress from the ER. To further evaluate this conformation change, directed evolution was applied to DO. Of the 41 unique mutants obtained, 25% were localized at the DM-DO binding interface and 12% are at the solvent-exposed β1 domain, which is thought to be the Mags.DO5 epitope. In addition, I used the library to test the ability of HLA-DO to inhibit HLA-DM and sorted for the amount of CLIP. Interestingly, most of the mutants showed a decrease inhibitory effect, supporting the notion that the intrinsic instability of DO is a required for its function. Finally, these results support the model in which DO competes against classical MHCII molecules by sequestering DM chaperone’s function. MHCII molecules are also characterized by their ability to present superantigens, a group of bacterial or viral toxins that coerces MHCII-TCR binding in a less promiscuous fashion than what is observed in a canonical setting. While the mechanism of how bacterial superantigens form trimeric complexes with TCR and MHCII is well understood, the mouse mammary tumor virus superantigens (vSAG) are poorly defined. In the absence of a crystal structure, I chose a functional approach to examine the relation between vSAG, MHCII and TCR with the goal of uncovering the overall trimolecular architecture. I showed that TCR concomitantly binds both the MHCII α chain and the vSAG and that TCR-MHCII docking is almost canonical when coerced by vSAGs. Because many peptides may be tolerated in the MHCII groove, the pressure exerted by vSAG seems to tweak conventional TCR-MHCII interactions. Furthermore, my results demonstrate that vSAG binding to MHCII molecules is conformation-dependent and abrogated by the CLIP amino-terminal residues extending outside the peptide-binding groove. In addition, they also suggest that vSAGs cross-link adjacent MHCIIs and activate T cells via a TGXY motif.

Sexual and relationship intimacy among women with provoked vestibulodynia and their partners : associations with sexual satisfaction, sexual function, and pain self-efficacy

Introduction Provoked vestibulodynia (PVD) is the most frequent subtype of vulvodynia. Women report negative consequences of PVD on their sexual and romantic relationships. Researchers have recently highlighted the importance of examining interpersonal factors such as intimacy, and of including both women and their partners in study designs. Aim The aim of this study was to investigate sexual and relationship intimacy as defined by the Interpersonal Process Model of Intimacy and their associations with sexual satisfaction, sexual function, pain self-efficacy, and pain intensity among women with PVD and their partners. Methods Ninety-one heterosexual women (M age = 27.38, SD = 6.04) diagnosed with PVD and their partners (M age = 29.37, SD = 7.79) completed measures of sexual and relationship intimacy, sexual satisfaction, sexual function, pain self-efficacy, and pain intensity. Main Outcome Measures Dependent measures were the (i) Global Measure of Sexual Satisfaction Scale; (ii) Female Sexual Function Index; (iii) Painful Intercourse Self-Efficacy Scale; and (iv) visual analog scale of pain intensity during intercourse. Results After controlling for women's age, women's greater sexual intimacy (β = 0.49, P < 0.001) was associated with women's greater sexual satisfaction and higher pain self-efficacy (β = 0.39, P = 0.001), beyond the effects of partners’ sexual intimacy. Also, women's greater sexual intimacy (β = 0.24, P = 0.05) and women's greater relationship intimacy (β = 0.54, P = 0.003) were associated with greater women's sexual function, beyond the effects of partners’ sexual and relationship intimacy. Conclusions Women's self-reported sexual and relationship intimacy in the couple relationship may promote higher sexual satisfaction, sexual function, and pain self-efficacy, as well as possibly foster greater sexual well-being among women with PVD. The authors discuss implications for the inclusion of emotional and interpersonal aspects of the couple's dynamic in clinical interventions and future research in PVD.

Characterization of Probability Distributions Using the Residual Entropy Function

The present study on the characterization of probability distributions using the residual entropy function. The concept of entropy is extensively used in literature as a quantitative measure of uncertainty associated with a random phenomenon. The commonly used life time models in reliability Theory are exponential distribution, Pareto distribution, Beta distribution, Weibull distribution and gamma distribution. Several characterization theorems are obtained for the above models using reliability concepts such as failure rate, mean residual life function, vitality function, variance residual life function etc. Most of the works on characterization of distributions in the reliability context centers around the failure rate or the residual life function. The important aspect of interest in the study of entropy is that of locating distributions for which the shannon’s entropy is maximum subject to certain restrictions on the underlying random variable. The geometric vitality function and examine its properties. It is established that the geometric vitality function determines the distribution uniquely. The problem of averaging the residual entropy function is examined, and also the truncated form version of entropies of higher order are defined. In this study it is established that the residual entropy function determines the distribution uniquely and that the constancy of the same is characteristics to the geometric distribution

Analysis discrete function theory

There is a recent trend to describe physical phenomena without the use of infinitesimals or infinites. This has been accomplished replacing differential calculus by the finite difference theory. Discrete function theory was first introduced in l94l. This theory is concerned with a study of functions defined on a discrete set of points in the complex plane. The theory was extensively developed for functions defined on a Gaussian lattice. In 1972 a very suitable lattice H: {Ci qmxO,I qnyo), X0) 0, X3) 0, O < q < l, m, n 5 Z} was found and discrete analytic function theory was developed. Very recently some work has been done in discrete monodiffric function theory for functions defined on H. The theory of pseudoanalytic functions is a generalisation of the theory of analytic functions. When the generator becomes the identity, ie., (l, i) the theory of pseudoanalytic functions reduces to the theory of analytic functions. Theugh the theory of pseudoanalytic functions plays an important role in analysis, no discrete theory is available in literature. This thesis is an attempt in that direction. A discrete pseudoanalytic theory is derived for functions defined on H.