Exit times in non-Markovian drifting continuous-time random-walk processes

By appealing to renewal theory we determine the equations that the mean exit time of a continuous-time random walk with drift satisfies both when the present coincides with a jump instant or when it does not. Particular attention is paid to the corrections ensuing from the non-Markovian nature of the process. We show that when drift and jumps have the same sign the relevant integral equations can be solved in closed form. The case when holding times have the classical Erlang distribution is considered in detail.

Artériopathies non athéromateuses des membres inférieurs [Non atherosclerotic arterial disease of lower limbs].

Les artériopathies non athéromateuses doivent être considérées dans le diagnostic différentiel de l'atteinte obstructive des membres inférieurs, surtout lors d'absence de facteurs de risque cardiovasculaires classiques. La prise en charge, médicamenteuse et/ou de revascularisation, est propre à la pathologie diagnostiquée. Non atherogenic peripheral arterial diseases must be taken into consideration whenever lower limb obstructive peripheral disease is diagnosed. This is particularly important in absence of classical cardiovascular risk factors. Management and treatment of these non atherogenic arterial disease are dependant on their causes.

Arterial Therapies of Non-Colorectal Liver Metastases.

BACKGROUND: The unique situation of the liver with arterial and venous blood supply and the dependency of the tumor on the arterial blood flow make this organ an ideal target for intrahepatic catheter-based therapies. Main forms of treatment are classical bland embolization (TAE) cutting the blood flow to the tumors, chemoembolization (TACE) inducing high chemotherapy concentration in tumors, and radioembolization (TARE) without embolizing effect but very high local radiation. These different forms of therapies are used in different centers with different protocols. This overview summarizes the different forms of treatment, their indications and protocols, possible side effects, and available data in patients with non-colorectal liver tumors. METHODS: A research in PubMed was performed. Mainly clinical controlled trials were reviewed. The search terms were 'embolization liver', 'TAE', 'chemoembolization liver', 'TACE', 'radioembolization liver', and 'TARE' as well as 'chemosaturation' and 'TACP' in the indications 'breast cancer', 'neuroendocrine', and 'melanoma'. All reported studies were analyzed for impact and reported according to their clinical relevance. RESULTS: The main search criteria revealed the following results: 'embolization liver + breast cancer', 122 results, subgroup clinical trials 16; 'chemoembolization liver + breast cancer', 62 results, subgroup clinical trials 11; 'radioembolization liver + breast cancer', 37 results, subgroup clinical trials 3; 'embolization liver + neuroendocrine', 283 results, subgroup clinical trials 20; 'chemoembolization liver + neuroendocrine', 202 results, subgroup clinical trials 9; 'radioembolization liver + neuroendocrine', 64 results, subgroup clinical trials 9; 'embolization liver + melanoma', 79 results, subgroup clinical trials 15; 'chemoembolization liver + melanoma', 60 results, subgroup clinical trials 14; 'radioembolization liver + melanoma', 18 results, subgroup clinical trials 3. The term 'chemosaturation liver' was tested without indication since only few publications exist and provided us with five results and only one clinical trial. CONCLUSION: Despite many years of clinical use and documented efficacy on intra-arterial treatments of the liver, there are still only a few prospective multicenter trials with many different protocols. To guarantee the future use of these efficacious therapies, especially in the light of many systemic or surgical therapies in the treatment of non-colorectal liver metastases, further large randomized trials and transparent guidelines need to be established.

Non-Markovianity and Quantum Correlations in Qubit-Systems

In this Thesis I discuss the exact dynamics of simple non-Markovian systems. I focus on fundamental questions at the core of non-Markovian theory and investigate the dynamics of quantum correlations under non-Markovian decoherence. In the first context I present the connection between two different non-Markovian approaches, and compare two distinct definitions of non-Markovianity. The general aim is to characterize in exemplary cases which part of the environment is responsible for the feedback of information typical of non- Markovian dynamics. I also show how such a feedback of information is not always described by certain types of master equations commonly used to tackle non-Markovian dynamics. In the second context I characterize the dynamics of two qubits in a common non-Markovian reservoir, and introduce a new dynamical effect in a wellknown model, i.e., two qubits under depolarizing channels. In the first model the exact solution of the dynamics is found, and the entanglement behavior is extensively studied. The non-Markovianity of the reservoir and reservoirmediated-interaction between the qubits cause non-trivial dynamical features. The dynamical interplay between different types of correlations is also investigated. In the second model the study of quantum and classical correlations demonstrates the existence of a new effect: the sudden transition between classical and quantum decoherence. This phenomenon involves the complete preservation of the initial quantum correlations for long intervals of time of the order of the relaxation time of the system.

Comparison of Classical and Secondary Cytologic Criteria Relative to Hybrid Capture for Diagnosing Cervical-vaginal Infection by Human Papillomavirus

Objective To compare the diagnostic accuracy of the classic Meisels cytologic criteria and the Schneider secondary criteria relative to the hybrid capture method for diagnosing HPV infection. Methods This was a retrospective study performed at a public university hospital. A total of 41 patients with a cytologic diagnosis of HPV infection and 40 HPV-negative patients were selected for review of the cervical-vaginal smears seeking to classical and secondary criteria. A single pathologist reviewed the slides in search of the criteria. The classical and secondary cytologic criteria were compared with the hybrid capture for diagnosing HPV infection. Bartleti test was applied for the age analysis, and Fisher's exact test was used to compare proportions. The tests were considered significant when the probability of rejecting the null hypothesis was less than 5% (p < 0.05). Results The Meisels criteria were less sensitive (34.0%) than the secondary Schneider criteria (57.5%) when compared with the hybrid capture (p < 0.0001), although the specificity of the former criteria was non-significantly higher (91.2% and 67.7%, respectively). In cases of moderate or intense inflammation, the sensitivity and specificity of the Schneider criteria were decreased, 33.3% and 50.0% respectively (p = 0.0115). Conclusions Compared with hybrid capture for diagnosis of HPV infection, the sensitivity of the secondary Schneider criteria was higher than the classical Meisels criteria.Moderate or intense inflammation reduces the sensitivity and specificity of the secondary Schneider criteria for diagnosing HPV infection using the hybrid capture as the gold standard.

Role of the hippocampus in contextual memory after classical aversive conditioning in pigeons (C. livia)

We investigated the effects of hippocampal lesions with ibotenic acid (IBO) on the memory of the sound-context-shock association during reexposure to the conditioning context. Twenty-nine adult pigeons were assigned to a non-lesioned control group (CG, N = 7), a sham-lesioned group (SG, N = 7), a hippocampus-lesioned experimental group (EG, N = 7), and to an unpaired nonlesioned group (tone-alone exposure) (NG, N = 8). All pigeons were submitted to a 20-min session in the conditioning chamber with three associations of sound (1000 Hz, 85 dB, 1 s) and shock (10 mA, 1 s). Experimental and sham lesions were performed 24 h later (EG and SG) when EG birds received three bilateral injections (anteroposterior (A), 4.5, 5.25 and 7.0) of IBO (1 µl and 1 µg/µl) and SG received one bilateral injection (A, 5.25) of PBS. The animals were reexposed to the training context 5 days after the lesion. Behavior was videotaped for 20 min and analyzed at 30-s intervals. A significantly higher percent rating of immobility was observed for CG (median, 95.1; range, 79.2 to 100.0) and SG (median, 90.0; range, 69.6 to 95.0) compared to EG (median, 11.62; range, 3.83 to 50.1) and NG (median, 7.33; range, 6.2 to 28.1) (P<0.001) in the training context. These results suggest impairment of contextual fear in birds who received lesions one day after conditioning and a role for the hippocampus in the modulation of emotional aversive memories in pigeons.

A novel hot-plate test sensitive to hyperalgesic stimuli and non-opioid analgesics

It is widely accepted that the classical constant-temperature hot-plate test is insensitive to cyclooxygenase inhibitors. In the current study, we developed a variant of the hot-plate test procedure (modified hot-plate (MHP) test) to measure inflammatory nociception in freely moving rats and mice. Following left and right hind paw stimulation with a phlogogen and vehicle, respectively, the animals were placed individually on a hot-plate surface at 51ºC and the withdrawal latency for each paw was determined simultaneously in measurements performed at 15, 60, 180, and 360 min post-challenge. Plantar stimulation of rats (250 and 500 µg/paw) and mice (125-500 µg/paw) with carrageenan led to a rapid hyperalgesic response of the ipsilateral paw that reached a plateau from 15 to 360 min after challenge. Pretreatment with indomethacin (4 mg/kg, ip) inhibited the phenomenon at all the times analyzed. Similarly, plantar stimulation of rats and mice with prostaglandin E2 (0.5 and 1 µg/paw) also resulted in rapid hyperalgesia which was first detected 15 min post-challenge. Finally, we observed that the MHP test was more sensitive than the classical Hargreaves' test, being able to detect about 4- and 10-fold lower doses of prostaglandin E2 and carrageenan, respectively. In conclusion, the MHP test is a simple and sensitive method for detecting peripheral hyperalgesia and analgesia in rats and mice. This test represents a low-cost alternative for the study of inflammatory pain in freely moving animals.

Localization of the mechanism of pH-dependent non- photochemical fluorescence quenching in thylakoid membranes

Higher plants have evolved a well-conserved set of photoprotective mechanisms, collectively designated Non-Photochemical Quenching of chlorophyll fluorescence (qN), to deal with the inhibitory absorption of excess light energy by the photosystems. Their main contribution originates from safe thermal deactivation of excited states promoted by a highly-energized thylakoid membrane, detected via lumen acidification. The precise origins of this energy- or LlpH-dependent quenching (qE), arising from either decreased energy transfer efficiency in PSII antennae (~ Young & Frank, 1996; Gilmore & Yamamoto, 1992; Ruban et aI., 1992), from alternative electron transfer pathways in PSII reaction centres (~ Schreiber & Neubauer, 1990; Thompson &Brudvig, 1988; Klimov et aI., 1977), or from both (Wagner et aI., 1996; Walters & Horton, 1993), are a source of considerable controversy. In this study, the origins of qE were investigated in spinach thylakoids using a combination of fluorescence spectroscopic techniques: Pulse Amplitude Modulated (PAM) fluorimetry, pump-probe fluorimetry for the measurement of PSII absorption crosssections, and picosecond fluorescence decay curves fit to a kinetic model for PSII. Quenching by qE (,..,600/0 of maximal fluorescence, Fm) was light-induced in circulating samples and the resulting pH gradient maintained during a dark delay by the lumenacidifying capabilities of thylakoid membrane H+ ATPases. Results for qE were compared to those for the addition of a known antenna quencher, 5-hydroxy-1,4naphthoquinone (5-0H-NQ), titrated to achieve the same degree of Fm quenching as for qE. Quenching of the minimal fluorescence yield, F0' was clear (8 to 130/0) during formation of qE, indicative of classical antenna quenching (Butler, 1984), although the degree was significantly less than that achieved by addition of 5-0H-NQ. Although qE induction resulted in an overall increase in absorption cross-section, unlike the decrease expected for antenna quenchers like the quinone, a larger increase in crosssection was observed when qE induction was attempted in thylakoids with collapsed pH gradients (uncoupled by nigericin), in the absence of xanthophyll cycle operation (inhibited by DTT), or in the absence of quenching (LlpH not maintained in the dark due to omission of ATP). Fluorescence decay curves exhibited a similar disparity between qE-quenched and 5-0H-NQ-quenched thylakoids, although both sets showed accelerated kinetics in the fastest decay components at both F0 and Fm. In addition, the kinetics of dark-adapted thylakoids were nearly identical to those in qEquenched samples at F0' both accelerated in comparison with thylakoids in which the redox poise of the Oxygen-Evolving Complex was randomized by exposure to low levels of background light (which allowed appropriate comparison with F0 yields from quenched samples). When modelled with the Reversible Radical Pair model for PSII (Schatz et aI., 1988), quinone quenching could be sufficiently described by increasing only the rate constant for decay in the antenna (as in Vasil'ev et aI., 1998), whereas modelling of data from qE-quenched thylakoids required changes in both the antenna rate constant and in rate constants for the reaction centre. The clear differences between qE and 5-0H-NQ quenching demonstrated that qE could not have its origins in the antenna alone, but is rather accompanied by reaction centre quenching. Defined mechanisms of reaction centre quenching are discussed, also in relation to the observed post-quenching depression in Fm associated with photoinhibition.

Étude du rôle de la MAP Kinase non-conventionnelle ERK3 dans le développement thymique et l'activation des lymphocytes T

Les voies de signalisation des MAP kinases (MAPK) conventionnelles jouent des rôles essentiels pendant le développement des lymphocytes T (LT) ainsi que lors de leur activation suite à la reconnaissance antigénique. En raison de ses différences structurelles ainsi que de son mode de régulation, ERK3 fait partie des MAPK dites non-conventionnelles. Encore aujourd’hui, les événements menant à l’activation de ERK3, ses substrats ou partenaires ainsi que sa fonction physiologique demeurent peu caractérisés. Nous avons entrepris dans cette thèse d’étudier le rôle de ERK3 lors du développement et de l’activation des LT en utilisant un modèle de souris déficient pour l’expression de ERK3. Nous avons premièrement établi que ERK3 est exprimée chez les thymocytes. Ensuite, nous avons évalué le développement thymique chez la souris ERK3-déficiente et nous avons observé une diminution significative de la cellularité aux étapes DN1, DP et SP CD4+ du développement des LT. La création de chimères hématopoïétiques ERK3-déficientes nous a permis de démontrer que la diminution du nombre de cellules observée aux étapes DN1 et DP est autonome aux thymocytes alors que le phénotype observé à l’étape SP CD4+ est dépendant de l’abolition simultanée de ERK3 dans l’épithélium thymique et dans les thymocytes. Une étude plus approfondie de l’étape DP nous a permis de démontrer qu’en absence de ERK3, les cellules DP meurent plus abondamment et accumulent des cassures doubles brins (DSB) dans leur ADN. De plus, nous avons démontré que ces cassures dans l’ADN sont réalisées par les enzymes RAG et qu’en absence de ces dernières, la cellularité thymique est presque rétablie chez la souris ERK3-déficiente. Ces résultats suggèrent que ERK3 est impliquée dans un mécanisme essentiel à la régulation des DSB pendant le réarrangement V(D)J de la chaîne  du récepteur des cellules T (RCT). Dans le deuxième article présenté dans cette thèse, nous avons montré que ERK3 est exprimé chez les LT périphériques, mais seulement suite à leur activation via le RCT. Une fois activés in vitro les LT ERK3-déficients présentent une diminution marquée de leur prolifération et dans la production de cytokines. De plus, les LT ERK3-déficients survivent de façon équivalente aux LT normaux, mais étonnamment, ils expriment des niveaux plus faibles de la molécule anti-apoptotique Bcl-2. Ces résultats suggèrent que la prolifération réduite des LT ERK3-déficients est la conséquence d’une altération majeure de leur activation. Ainsi, nos résultats établissent que ERK3 est une MAPK qui joue des rôles essentiels et uniques dans le développement thymique et dans l’activation des lymphocytes T périphériques. Grâce à ces travaux, nous attribuons pour la toute première fois une fonction in vivo pour ERK3 au cours de deux différentes étapes de la vie d’un LT.

Toward a rational-choice foundation of non-additive theories

A classical argument of de Finetti holds that Rationality implies Subjective Expected Utility (SEU). In contrast, the Knightian distinction between Risk and Ambiguity suggests that a rational decision maker would obey the SEU paradigm when the information available is in some sense good, and would depart from it when the information available is not good. Unlike de Finetti's, however, this view does not rely on a formal argument. In this paper, we study the set of all information structures that might be availabe to a decision maker, and show that they are of two types: those compatible with SEU theory and those for which SEU theory must fail. We also show that the former correspond to "good" information, while the latter correspond to information that is not good. Thus, our results provide a formalization of the distinction between Risk and Ambiguity. As a consequence of our main theorem (Theorem 2, Section 8), behavior not-conforming to SEU theory is bound to emerge in the presence of Ambiguity. We give two examples of situations of Ambiguity. One concerns the uncertainty on the class of measure zero events, the other is a variation on Ellberg's three-color urn experiment. We also briefly link our results to two other strands of literature: the study of ambiguous events and the problem of unforeseen contingencies. We conclude the paper by re-considering de Finetti's argument in light of our findings.

Les relations d’accords : proposition pour un système d’organisation harmonique structurelle au sein d’un discours non-tonal

La version intégrale de cette thèse est disponible uniquement pour consultation individuelle à la Bibliothèque de musique de l’Université de Montréal (http://www.bib.umontreal.ca/MU).

L'élastographie ultrasonore dynamique vasculaire : une nouvelle modalité d'imagerie non-invasive pour la caractérisation mécanique de la thrombose veineuse

L’accident thromboembolique veineux, tel que la thrombose veineuse profonde (TVP) ou thrombophlébite des membres inférieurs, est une pathologie vasculaire caractérisée par la formation d’un caillot sanguin causant une obstruction partielle ou totale de la lumière sanguine. Les embolies pulmonaires sont une complication mortelle des TVP qui surviennent lorsque le caillot se détache, circule dans le sang et produit une obstruction de la ramification artérielle irriguant les poumons. La combinaison d’outils et de techniques d’imagerie cliniques tels que les règles de prédiction cliniques (signes et symptômes) et les tests sanguins (D-dimères) complémentés par un examen ultrasonographique veineux (test de compression, écho-Doppler), permet de diagnostiquer les premiers épisodes de TVP. Cependant, la performance de ces outils diagnostiques reste très faible pour la détection de TVP récurrentes. Afin de diriger le patient vers une thérapie optimale, la problématique n’est plus basée sur la détection de la thrombose mais plutôt sur l’évaluation de la maturité et de l’âge du thrombus, paramètres qui sont directement corrélées à ses propriétés mécaniques (e.g. élasticité, viscosité). L’élastographie dynamique (ED) a récemment été proposée comme une nouvelle modalité d’imagerie non-invasive capable de caractériser quantitativement les propriétés mécaniques de tissus. L’ED est basée sur l’analyse des paramètres acoustiques (i.e. vitesse, atténuation, pattern de distribution) d’ondes de cisaillement basses fréquences (10-7000 Hz) se propageant dans le milieu sondé. Ces ondes de cisaillement générées par vibration externe, ou par source interne à l’aide de la focalisation de faisceaux ultrasonores (force de radiation), sont mesurées par imagerie ultrasonore ultra-rapide ou par résonance magnétique. Une méthode basée sur l’ED adaptée à la caractérisation mécanique de thromboses veineuses permettrait de quantifier la sévérité de cette pathologie à des fins d’amélioration diagnostique. Cette thèse présente un ensemble de travaux reliés au développement et à la validation complète et rigoureuse d’une nouvelle technique d’imagerie non-invasive élastographique pour la mesure quantitative des propriétés mécaniques de thromboses veineuses. L’atteinte de cet objectif principal nécessite une première étape visant à améliorer les connaissances sur le comportement mécanique du caillot sanguin (sang coagulé) soumis à une sollicitation dynamique telle qu’en ED. Les modules de conservation (comportement élastique, G’) et de perte (comportement visqueux, G’’) en cisaillement de caillots sanguins porcins sont mesurés par ED lors de la cascade de coagulation (à 70 Hz), et après coagulation complète (entre 50 Hz et 160 Hz). Ces résultats constituent les toutes premières mesures du comportement dynamique de caillots sanguins dans une gamme fréquentielle aussi étendue. L’étape subséquente consiste à mettre en place un instrument innovant de référence (« gold standard »), appelé RheoSpectris, dédié à la mesure de la viscoélasticité hyper-fréquence (entre 10 Hz et 1000 Hz) des matériaux et biomatériaux. Cet outil est indispensable pour valider et calibrer toute nouvelle technique d’élastographie dynamique. Une étude comparative entre RheoSpectris et la rhéométrie classique est réalisée afin de valider des mesures faites sur différents matériaux (silicone, thermoplastique, biomatériaux, gel). L’excellente concordance entre les deux technologies permet de conclure que RheoSpectris est un instrument fiable pour la mesure mécanique à des fréquences difficilement accessibles par les outils actuels. Les bases théoriques d’une nouvelle modalité d’imagerie élastographique, nommée SWIRE (« shear wave induced resonance dynamic elastography »), sont présentées et validées sur des fantômes vasculaires. Cette approche permet de caractériser les propriétés mécaniques d’une inclusion confinée (e.g. caillot sanguin) à partir de sa résonance (amplification du déplacement) produite par la propagation d’ondes de cisaillement judicieusement orientées. SWIRE a également l’avantage d’amplifier l’amplitude de vibration à l’intérieur de l’hétérogénéité afin de faciliter sa détection et sa segmentation. Finalement, la méthode DVT-SWIRE (« Deep venous thrombosis – SWIRE ») est adaptée à la caractérisation de l’élasticité quantitative de thromboses veineuses pour une utilisation en clinique. Cette méthode exploite la première fréquence de résonance mesurée dans la thrombose lors de la propagation d’ondes de cisaillement planes (vibration d’une plaque externe) ou cylindriques (simulation de la force de radiation par génération supersonique). DVT-SWIRE est appliquée sur des fantômes simulant une TVP et les résultats sont comparés à ceux donnés par l’instrument de référence RheoSpectris. Cette méthode est également utilisée avec succès dans une étude ex vivo pour l’évaluation de l’élasticité de thromboses porcines explantées après avoir été induites in vivo par chirurgie.

Voies de signalisation non-canoniques du récepteur V2 de la vasopressine

Le récepteur V2 (V2R) de la vasopressine est un récepteur couplé aux protéines G (RCPG), jouant un rôle fondamental dans le maintien de l’homéostasie hydrosodique. À l’instar de nombreux RCPGs, il est capable d’interagir avec plusieurs types de protéines G hétérotrimériques et possède des voies de signalisation peu explorées aux mécanismes mal compris. Ces voies non canoniques font l’objet des travaux exposés dans ce mémoire. Il s’agit d’explorer les caractéristiques et mécanismes de la signalisation de V2R via G12, et de la voie d’activation d’ERK 1/2 par transactivation du récepteur de l’insulin-like growth factor 1, IGF1R. Par des études de transfert d’énergie de résonance de bioluminescence (BRET), nous exposons la capacité de V2R à interagir avec la sous-unité Gα12 ainsi que la modulation de la conformation de l’hétérotrimère G12 par l’agoniste de V2R, l’arginine-vasopressine. Ces travaux dévoilent également la modulation de l’interaction entre Gα12 et son effecteur classique RhoA, suggérant un engagement de RhoA, ainsi que la potentialisation via Gα12 de la production d’AMP cyclique. À l’aide de diverses méthodes d’inhibition sélective, nos résultats précisent les mécanismes de la transactivation. Ils supportent notamment le rôle initiateur de l’activation de Src par V2R et l’absence d’implication des ligands connus d’IGF1R dans la transactivation. La métalloprotéase MMP 3 apparaît par ailleurs comme un bon candidat pour réguler la transactivation. Ce projet met en lumière des modes de signalisation peu explorés de V2R, dont l’implication physiologique et physiopathologique pourrait s’avérer significative, au-delà d’un apport fondamental dans la compréhension de la signalisation des RCPGs.

Impact of Self-generation of Priorities and Non-preemptive Service in Single/Multiserver Queues

In this thesis we have studied a few models involving self-generation of priorities. Priority queues have been extensively discussed in literature. However, these are situations involving priority assigned to (or possessed by) customers at the time of their arrival. Nevertheless, customers generating into priority is a common phenomena. Such situations especially arise at a physicians clinic, aircrafts hovering over airport running out of fuel but waiting for clearance to land and in several communication systems. Quantification of these are very little seen in literature except for those cited in some of the work indicated in the introduction. Our attempt is to quantify a few of such problems. In doing so, we have also generalized the classical priority queues by introducing priority generation ( going to higher priorities and during waiting). Systematically we have proceeded from single server queue to multi server queue. We also introduced customers with repeated attempts (retrial) generating priorities. All models that were analyzed in this thesis involve nonpreemptive service. Since the models are not analytically tractable, a large number of numerical illustrations were produced in each chapter to get a feel about the working of the systems.

Studies on magnetic monopole solutions of non-abelian gauge theories and related problems

In 1931 Dirac studied the motion of an electron in the field of a magnetic monopole and found that the quantization of electric charge can be explained by postulating the mere existence of a magnetic monopole. Since 1974 there has been a resurgence of interest in magnetic monopole due to the work of ‘t’ Hooft and Polyakov who independently observed that monopoles can exist as finite energy topologically stable solutions to certain spontaneously broken gauge theories. The thesis, “Studies on Magnetic Monopole Solutions of Non-abelian Gauge Theories and Related Problems”, reports a systematic investigation of classical solutions of non-abelian gauge theories with special emphasis on magnetic monopoles and dyons which possess both electric and magnetic charges. The formation of bound states of a dyon with fermions and bosons is also studied in detail. The thesis opens with an account of a new derivation of a relationship between the magnetic charge of a dyon and the topology of the gauge fields associated with it. Although this formula has been reported earlier in the literature, the present method has two distinct advantages. In the first place, it does not depend either on the mechanism of symmetry breaking or on the nature of the residual symmetry group. Secondly, the results can be generalized to finite temperature monopoles.