K -shell diagram and hypersatellite spectra of 4d transition elements

The K-shell diagram (K alpha(1,2) and K beta(1,3)) and hypersatellite (HS) (K-h alpha(1,2)) spectra of Y, Zr, Mo, and Pd have been measured with high energy-resolution using photoexcitation by 90 keV synchrotron radiation. Comparison of the measured and ab initio calculated HS spectra demonstrates the importance of quantum electrodynamical (QED) effects for the HS spectra. Phenomenological fits of the measured spectra by Voigt functions yield accurate values for the shift of the HS from the diagram lines, the splitting of the HS lines, and their intensity ratio. Good agreement with theory was found for all quantities except for the intensity ratio, which is dominated by the intermediacy of the coupling of the angular momenta. The observed deviations imply that our current understanding of the variation of the coupling scheme from LS to jj across the periodic table may require some revision.

Extended colored Petri net: An efficient tool for analyzing concurrent systems

This paper proposes a novel and simple definition of general colored Petri nets. This definition is coherent with that of (uncolored) Petri nets, preserves the reflexivity of the original net and is extended to represent inhibitors. Also suggested are systematic and formal merging rules to obtain a well-formed structure of the extended colored Petri net by folding a given uncolored net. Finally, we present a technique to compute colored invariants by selecting colored RP-subnets. On the average, the proposed technique performs better than the existing ones. The analysis procedure is explained through an illustrative example of a three-level interrupt-priority-handler scheme.

Flow And Heat-Transfer Over An Upstream Moving Wall With A Magnetic-Field And A Parallel Free Stream

The flow and heat transfer over an upstream moving non-isothermal wall with a parallel free stream have been considered. The magnetic field has been applied in the free stream parallel to the wall and the effect of induced magnetic field has been included in the analysis. The boundary layer equations governing the steady incompressible electrically conducting fluid flow have been solved numerically using a shooting method. This problem is interesting because a solution exists only when the ratio of the wall velocity does not exceed a certain critical value and this critical value depends on the magnetic field and magnetic Prandtl number. Also dual solutions exist for a certain range of wall velocity.

Production process of Scots pine.

The accompanying collective research report is the result of the research project in 1986­90 between The Finnish Academy and the former Soviet Academy of Sciences. The project was organized around common field work in Finland and in the former Soviet Union and theoretical analyses of tree growth determining processes. Based on theoretical analyses, dynamic stand growth models were made and their parameters were determined utilizing the field results. Annual cycle affects the tree growth. Our theoretical approach was based on adaptation to local climate conditions from Lapland to South Russia. The initiation of growth was described as a simple low and high temperature accumulation driven model. Linking the theoretical model with long term temperature data allowed us to analyze what type of temperature response produced favorable outcome in different climates. Initiation of growth consumes the carbohydrate reserves in plants. We measured the dynamics of insoluble and soluble sugars in the very northern and Karelian conditions. Clear cyclical pattern was observed but the differences between locations were surprisingly small. Analysis of field measurements of CO2 exchange showed that irradiance is the dominating factor causing variation in photosynthetic rate in natural conditions during summer. The effect of other factors is so small that they can be omitted without any considerable loss of accuracy. A special experiment carried out in Hyytiälä showed that the needle living space, defined as the ratio between the shoot cylindric volume and needle surface area, correlates with the shoot photosynthesis. The penetration of irradiance into Scots pine canopy is a complicated phenomenon because of the movement of the sun on the sky and the complicated structure of branches and needles. A moderately simple but balanced forest radiation regime submodel was constructed. It consists of the tree crown and forest structure, the gap probability calculation and the consideration of spatial and temporal variation of radiation inside the forest. The common field excursions in different geographical regions resulted in a lot of experimental data of regularities of woody structures. The water transport seems to be a good common factor to analyse these properties of tree structure. There are evident regressions between cross-sectional areas measured at different locations along the water pathway from fine roots to needles. The observed regressions have clear geographical trends. For example, the same cross-sectional area can support three times higher needle mass in South Russia than in Lapland. Geographical trends can also be seen in shoot and needle structure. Analysis of data published by several Russian authors show, that one ton of needles transpire 42 ton of water a year. This annual amount of transpiration seems to be independent of geographical location, year and site conditions. The produced theoretical and experimental material is utilised in the development of stand growth model that describes the growth and development of Scots pine stands in Finland and the former Soviet Union. The core of the model is carbon and nutrient balances. This means that carbon obtained in photosynthesis is consumed for growth and maintenance and nutrients are taken according to the metabolic needs. The annual photosynthetic production by trees in the stand is determined as a function of irradiance and shading during the active period. The utilisation of the annual photosynthetic production to the growth of different components of trees is based on structural regularities. Since the fundamental metabolic processes are the same in all locations the same growth model structure can be applied in the large range of Scots pine. The annual photosynthetic production and structural regularities determining the allocation of resources have geographical features. The common field measurements enable the application of the model to the analysis of growth and development of stands growing on the five locations of experiments. The model enables the analysis of geographical differences in the growth of Scots pine. For example, the annual photosynthetic production of a 100-year-old stand at Voronez is 3.5 times higher than in Lapland. The share consumed to needle growth (30 %) and to growth of branches (5 %) seems to be the same in all locations. In contrast, the share of fine roots is decreasing when moving from north to south. It is 20 % in Lapland, 15 % in Hyytiälä Central Finland and Kentjärvi Karelia and 15 % in Voronez South Russia. The stem masses (115­113 ton/ha) are rather similar in Hyytiälä, Kentjärvi and Voronez, but rather low (50 ton/ha) in Lapland. In Voronez the height of the trees reach 29 m being in Hyytiälä and Kentjärvi 22 m and in Lapland only 14 m. The present approach enables utilization of structural and functional knowledge, gained in places of intensive research, in the analysis of growth and development of any stand. This opens new possibilities for growth research and also for applications in forestry practice.

Wegener's granulomatosis in Finland in 1981-2000

Objectives: Wegener s granulomatosis (WG) is a vasculitis with a predilection for the airways and kidneys. An increasing incidence and improved prognosis of WG has been shown. The aim of this study was to evaluate the incidence, clinical presentation, diagnostic delay, risk of dialysis-dependent renal insufficiency and mortality of WG in 1981-2000. Patients and methods: Data was retrieved from the Finnish hospital discharge register and hospital case reports. Patients diagnosed with WG in 1981-2000 were included, and their demographic and clinical data recorded. The patients were crossed with the national kidney dialysis register and the national mortality statistics. Results: A total of 492 patients (243 ♂ , 249 ♀) were diagnosed at a mean age of 54 years (SD 18). The incidence increased from 1.9 to 9.3/ million/ year. The median diagnostic delay decreased from 17 to 4 months. Patients presented most often with symptoms of the ear, nose and throat (ENT) (45%), lung (36%), musculoskeletal system (22%) and kidney (11%). Initial lung involvement, constitutional symptoms, high erythrocyte sedimentation rate (ESR) and high ELK scores [(number of simultaneously involved organ groups (ENT, Lung, Kidney)] were associated with a shorter diagnostic delay. Medical treatment of WG patients remained similar in the 1980s and 1990s. Almost 90% of patients received cyclophosphamide (CYC) and more than 90% glucocorticoid medication at some point during the course of the disease. Eighty-four patients (17%) needed dialysis. Initial renal involvement and elevated serum creatinine values were related to an increased risk of dialysis-dependent kidney disease. In two-thirds of the patients, renal impairment was reversible. Dialysis became chronic (>3 months) in 32 patients (6.5%). Nineteen patients (3.9%) received a kidney transplant. Altogether 203 patients (99 men, 104 women) died before 30 June 2005. WG was the underlying cause of death in 37%. The crude one-year and five-year survival rates were 83.3% and 74.2%, respectively. The standardized mortality ratio was 3.43 (95% CI = 2.98 to 3.94). Older age and elevated creatinine level at diagnosis predicted shorter survival. ENT symptoms at presentation and treatment with CYC were associated with better outcome. There was no additional risk associated with male gender or with either of the decades (1981-1990 and 1991-2000) Conclusions: In 1981-2000, the incidence of WG increased ca. 4.5-fold and diagnostic delay decreased to ca. one-fourth, reflecting increased recognition of the disease and improved diagnostic means. WG patients are at great risk of developing dialysis-dependent renal insufficiency and an increased risk of dying. During the study period the treatment of WG did not change markedly, nor did the prognosis improve.

Oral health, smoking and adolescence

The present cross-sectional study examined the effect of smoking on oral health in a birth cohort of 15 to 16-year-old Finnish adolescents. The hypothesis was that oral health parameters were poorer among smoking than non-smoking subjects and that a tobacco intervention program could be effective among the adolescents. The study was conducted in the Kotka Health Center, Kotka, Finland. Altogether 501 out of 545 subjects (15- to 16-year-old boys [n = 258] and girls [n = 243]) were clinically examined in 2004 and 2005. The sample frame was a birth cohort of all subjects in 1989 and 1990, living in Kotka. A structured questionnaire was also filled in by the participants to record their general health and health habits, such as smoking, tooth brushing, and medication used. The participants were classified into nonsmokers, current smokers, and former smokers. Subgingival pooled plaque samples were taken and stimulated salivary samples were also collected. The subjects were asked from which of seven professional groups (doctors, school nurses, dental nurses, general nurses, dentists, teachers and media professionals) they would prefer to receive information about tobacco. The two most popular groups they picked up were dentists and school nurses. Current smokers (n=127) were then randomly assigned into three groups: the dentist group (n =44), the school-nurse group (n =42), and the control group (n =39). The intervention was based on a national recommendation of evidence based guidelines by The Finnish Medical Society Duodecim ( 5A counseling system). Two months after the intervention, a second questionnaire was sent to the smokers in the intervention groups. Smoking cessation, smoking quantity per week, and self-rated addiction for smoking (SRA) were recorded. The results were analyzed using the R-statistical program. The results showed that 15% of the subjects had periodontitis. Smokers (25%) had more periodontitis than non-smokers (66%) (p < 0.001). Smoking boys (24%) also had more caries lesions than non-smokers (69%) (p < 0.001), and they brushed their teeth less frequently than non-smokers. Smoking significantly impaired periodontal health of the subjects, even when the confounding effects of plaque and tooth brushing were adjusted. Smoking pack-years, intensified the effects of smoking. Periodontal bacteria Prevotella nigrescens, Prevotella intermedia, Tannerella forsythia and Treponema denticola were more frequently detected among the smokers than non-smokers, especially among smoking girls. Smoking significantly decreased the values of both the salivary periodontal biomarkers MMP-8 (p=0.04) and PMN elastase (p=0.02) in boys. The effect was strengthened by pack years of smoking (MMP-8 p=0.04; elastase p0.01). Of those who participated in the intervention, 19 % quit smoking. The key factors associated with smoking cessation were best friend`s influence, nicotine dependence and diurnal type. When the best friend was not a smoker, the risk ratio (RR) of quit smoking after the intervention was 7.0 (Cl 95% 4.6 10.7). Of the diurnal types, the morning people seemed to be more likely to quit (RR 2.2 [Cl 95% 1.4 3.6]). Nicotine dependence also elicited an opposite effect: those who scored between 3 and 5 dependence scores were less likely to quit. In conclusion, smoking appears to be a major etiological risk factor for oral health. However, the early signs of periodontal disease were mild in the subjects studied. Based on the opinions of the adolescent s, dental professionals may have a key position in their smoking cessation. The harmful effects of smoking on oral health could be used in counselling. Best friend`s influence, nicotine dependence and diurnal type, all factors associated with smoking cessation, should be taken more carefully into account in the prevention programs for adolescents.

Diakoniatyön paikka ihmisten arjessa

This study examines the diaconia work of the Finnish Evangelical Lutheran Church from the standpoint of clients. The role of diaconia work has grown since the early 1990s recession, and since it established itself as one of the actors along with other social organizations. Previous studies have described the changing role of diaconal work, especially from the standpoint of diaconia workers and co-operators. This research goes back to examine, beyond the activities of the diaconia work of everyday practices, its relations of ruling which are determining practices. The theoretical and methodological framework rises from the thinking of Dorothy E. Smith, the creator of institutional ethnography. Its origins are in feminism, Marxism, phenomenology, etnomethodology, and symbolic interactionism. However, it does not represent any school. Unlike the objectivity-based traditional sociology, institutional ethnography has its starting point in everyday life, and people s subjective experience of it. Everyday life is just a starting point, and is used to examine everyday life s experiences of hidden relations of ruling, linking people and organizations. The level of generalization is just on the relations of ruling. The research task is to examine those meanings of diaconia work which are embedded in its clients experiences. The research task is investigated with two questions: how diaconia work among its clients takes shape and what kinds of relations of ruling exist in diaconia work. The meanings of diaconia work come through an examination of the relations of ruling, which create new forms of diaconal work compared with previous studies. For the study, two kinds of data were collected: a questionnaire and ethnographic fieldwork. The first data set was collected from diaconal workers using the questionnaire. It gives background information of the diaconia work process from the standpoint of the clients. In the ethnographic study there were two phases. The first ethnographic material was collected from one local parish by observing, interviewing clients and diaconal workers and gathering documents. The number of observations was 36 customer appointments, and 29 interviews. The second ethnographic material was included as a part of the analysis, in which ruling relations in people s experiences were collected from the transcribed data. Close reading and narrative analysis are used as analysing methods. The analysis has three phases. First, the experiences are identified with close reading; the following step is to select some of the institutional processes that are shaping those experiences and are relevant for the research. At the third stage, those processes are investigated in order to describe analytically how they determine people s experience. The analysis produces another narrative about diaconia work, which provides tools for examining the diaconal work from a new perspective. Through the analysis it is possible to see diaconia as an exchange ratio, in which the exchange takes place between a client and a diaconia worker, but also more broadly with other actors, such as social workers, shop clerks, or with other parishioners. The exchange ratio is examined from the perspective of power which is embedded in the client s experiences. The analysis reveals that the most important relations of ruling are humiliation and randomness in the exchange ratio of diaconia work; valuating spirituality above the bodily being; and replacing official social work. The results give a map about the relations of ruling of diaconia work which gives tools to look at diaconia work s meanings to the clients. The hidden element of humiliation in the exchange ratio breaks the current picture of diaconia work. The ethos of the holistic encounters and empathic practices are shown to be of another kind when spirituality is preferred to the bodily being. Nevertheless, diaconia appears to be a place for a respectful encounter, especially in situations where the public sector s actors are retreating on liability or clients are in a life crisis. The collapse of the welfare state structures imposes on diaconia work tasks that have not previously belonged to it. At the local level, clients receive partners from diaconia workers in order to advocate them in the welfare system. Actions to influence the wider societal structures are not reached because of lacking resources. An awareness of the oppressive practices of diaconia work and their critical reviewing are the keys to the development of diaconia work, since there are such practices even in holistic and respectful diaconia work. While the research raises new information for the development of diaconia work, it also opens up new aspects for developing other kinds of social work by emphasizing the importance of taking people s experiences seriously. Keywords: diaconia work, institutional ethnography, Dorothy E. Smith, experience, customer, relations of ruling.

Konjac- ja galaktoglukomannaanipohjaiset emulsiokalvot

Emulsiokalvolla tarkoitetaan kalvoa, joka on valmistettu haihduttamalla ylimääräinen vesi pois emulsiosta. Polysakkaridipohjainen emulsiokalvo koostuu kalvonmuodostuspolysakkaridista, rasvasta, emulgointiaineesta ja pehmittimestä. Kirjallisuusosassa selvitettiin, mitä raaka-aineita polysakkaridipohjaisissa emulsiokalvoissa käytetään ja mitkä tekijät vaikuttavat emulsiokalvojen vesihöyrynläpäisevyyteen ja mekaanisiin ominaisuuksiin. Tutkimuksen kokeellisen osan tavoitteena oli selvittää, miten konjac-glukomannaani (KGM) ja kuusen galaktoglukomannaani (GGM) soveltuvat emulsiokalvon raaka-aineiksi. Lisäksi selvitettiin, miten rasvan tyyppi ja rasvapitoisuus vaikuttavat GGM-KGM-pohjaisten emulsiokalvojen mekaanisiin ominaisuuksiin ja vesihöyrynläpäisevyyteen. Mehiläisvahasta, mäntyöljystä ja rypsiöljystä valmistettiin emulsiokalvot, joissa oli 30 %:n (paino-% GGM:sta) rasvapitoisuudet. Lisäksi mehiläisvahasta valmistettiin emulsiokalvot, joissa oli 10 ja 50 % mehiläisvahaa. Emulsiokalvoja verrattiin vertailukalvoon, jossa ei ollut rasvaa. Kalvoissa käytetty KGM:n ja GGM:n suhde oli 1:1. Kalvoista mitattiin vesihöyrynläpäisevyys ja -läpäisynopeus, vetolujuus, Youngin moduuli ja murtovenymä. Näiden lisäksi kalvojen poikkileikkaus kuvattiin pyyhkäisyelektronimikroskoopilla. GGM ja KGM soveltuvat emulsiokalvon raaka-aineiksi. Huoneenlämpötilassa kuivatuista kalvoista saatiin tasaisemman näköisiä kuin lämpökaapissa kuivatuista. Pyyhkäisyelektronimikroskooppikuvissa vahapisarat olivat öljypisaroita pienempiä, mikä mahdollisesti vaikutti siihen, että vahapisarat pysyivät paremmin kiinnittyneenä kalvomatriisissa. Öljypisaroiden koko oli kalvoissa noin 10 ?m ja vahapisaroiden 2–6 ?m. Vesihöyrynläpäisynopeus oli pienin 50 %:n mehiläisvahakalvolla (p < 0,05). Vesihöyrynläpäisevyys laski lineaarisesti mehiläisvahapitoisuuden suurentuessa. Öljykalvot ja 10 %:n mehiläisvahakalvo eivät eronneet tilastollisesti merkitsevästi vesihöyrynläpäisevyyden suhteen vertailukalvosta. Pienin vetolujuus ja Youngin moduuli oli 50 %:n mehiläisvahakalvolla. Vertailukalvo oli kestävin ja jäykin. Murtovenymän suhteen kalvot eivät eronneet toisistaan tilastollisesti merkitsevästi. Tutkimuksessa onnistuttiin valmistamaan GGM-KGM-pohjaisia emulsiokalvoja, jotka pidättivät vesihöyryä vertailukalvoa paremmin ja silti säilyttivät mekaaniset ominaisuutensa kohtuullisen hyvin.

Almost Stable Matchings by Truncating the Gale–Shapley Algorithm

We show that the ratio of matched individuals to blocking pairs grows linearly with the number of propose–accept rounds executed by the Gale–Shapley algorithm for the stable marriage problem. Consequently, the participants can arrive at an almost stable matching even without full information about the problem instance; for each participant, knowing only its local neighbourhood is enough. In distributed-systems parlance, this means that if each person has only a constant number of acceptable partners, an almost stable matching emerges after a constant number of synchronous communication rounds. We apply our results to give a distributed (2 + ε)-approximation algorithm for maximum-weight matching in bicoloured graphs and a centralised randomised constant-time approximation scheme for estimating the size of a stable matching.

Optimisation problems in wireless sensor networks

This thesis studies optimisation problems related to modern large-scale distributed systems, such as wireless sensor networks and wireless ad-hoc networks. The concrete tasks that we use as motivating examples are the following: (i) maximising the lifetime of a battery-powered wireless sensor network, (ii) maximising the capacity of a wireless communication network, and (iii) minimising the number of sensors in a surveillance application. A sensor node consumes energy both when it is transmitting or forwarding data, and when it is performing measurements. Hence task (i), lifetime maximisation, can be approached from two different perspectives. First, we can seek for optimal data flows that make the most out of the energy resources available in the network; such optimisation problems are examples of so-called max-min linear programs. Second, we can conserve energy by putting redundant sensors into sleep mode; we arrive at the sleep scheduling problem, in which the objective is to find an optimal schedule that determines when each sensor node is asleep and when it is awake. In a wireless network simultaneous radio transmissions may interfere with each other. Task (ii), capacity maximisation, therefore gives rise to another scheduling problem, the activity scheduling problem, in which the objective is to find a minimum-length conflict-free schedule that satisfies the data transmission requirements of all wireless communication links. Task (iii), minimising the number of sensors, is related to the classical graph problem of finding a minimum dominating set. However, if we are not only interested in detecting an intruder but also locating the intruder, it is not sufficient to solve the dominating set problem; formulations such as minimum-size identifying codes and locating–dominating codes are more appropriate. This thesis presents approximation algorithms for each of these optimisation problems, i.e., for max-min linear programs, sleep scheduling, activity scheduling, identifying codes, and locating–dominating codes. Two complementary approaches are taken. The main focus is on local algorithms, which are constant-time distributed algorithms. The contributions include local approximation algorithms for max-min linear programs, sleep scheduling, and activity scheduling. In the case of max-min linear programs, tight upper and lower bounds are proved for the best possible approximation ratio that can be achieved by any local algorithm. The second approach is the study of centralised polynomial-time algorithms in local graphs – these are geometric graphs whose structure exhibits spatial locality. Among other contributions, it is shown that while identifying codes and locating–dominating codes are hard to approximate in general graphs, they admit a polynomial-time approximation scheme in local graphs.

An optimal local approximation algorithm for max-min linear programs

In a max-min LP, the objective is to maximise ω subject to Ax ≤ 1, Cx ≥ ω1, and x ≥ 0 for nonnegative matrices A and C. We present a local algorithm (constant-time distributed algorithm) for approximating max-min LPs. The approximation ratio of our algorithm is the best possible for any local algorithm; there is a matching unconditional lower bound.

Molecular Characterization of Viruses Causing the Cassava Brown Streak Disease Epidemic in Eastern Africa

Cassava brown streak disease (CBSD) was described for the first time in Tanganyika (now Tanzania) about seven decades ago. Tanganyika (now Tanzania) about seven decades ago. It was endemic in the lowland areas of East Africa and inland parts of Malawi and caused by Cassava brown streak virus (CBSV; genus Ipomovirus; Potyviridae). However, in 1990s CBSD was observed at high altitude areas in Uganda. The causes for spread to new locations were not known.The present work was thus initiated to generate information on genetic variability, clarify the taxonomy of the virus or viruses associated with CBSD in Eastern Africa as well as to understand the evolutionary forces acting on their genes. It also sought to develop a molecular based diagnostic tool for detection of CBSD-associated virus isolates. Comparison of the CP-encoding sequences of CBSD-associated virus isolates collected from Uganda and north-western Tanzania in 2007 and the partial sequences available in Genbank revealed occurrence of two genetically distinct groups of isolates. Two isolates were selected to represent the two groups. The complete genomes of isolates MLB3 (TZ:Mlb3:07) and Kor6 (TZ:Kor6:08) obtained from North-Western (Kagera) and North-Eastern (Tanga) Tanzania, respectively, were sequenced. The genomes were 9069 and 8995 nucleotides (nt), respectively. They translated into polyproteins that were predicted to yield ten mature proteins after cleavage. Nine proteins were typical in the family Potyviridae, namely P1, P3, 6K1, CI, 6K2, VPg, NIa-Pro, NIb and CP, but the viruses did not contain HC-Pro. Interestingly, genomes of both isolates contained a Maf/HAM1-like sequence (HAM1h; 678 nucleotides, 25 kDa) recombined between the NIb and CP domains in the 3’-proximal part of the genomes. HAM1h was also identified in Euphorbia ringspot virus (EuRSV) whose sequence was in GenBank. The HAM1 gene is widely spread in both prokaryotes and eukaryotes. In yeast (Saccharomyces cerevisiae) it is known to be a nucleoside triphosphate (NTP) pyrophosphatase. Novel information was obtained on the structural variation at the N-termini of polyproteins of viruses in the genus Ipomovirus. Cucumber vein yellowing virus (CVYV) and Squash vein yellowing virus (SqVYV) contain a duplicated P1 (P1a and P1b) but lack the HC-Pro. On the other hand, Sweet potato mild mottle virus (SPMMV), has a single but large P1 and has HC-Pro. Both virus isolates (TZ:Mlb3:07 & TZ:Kor6:08) characterized in this study contained a single P1 and lacked the HC-Pro which indicates unique evolution in the family Potyviridae. Comparison of 12 complete genomes of CBSD-associated viruses which included two genomes characterized in this study, revealed genetic identity of 69.0–70.3% (nt) and amino acid (aa) identities of 73.6–74.4% at polyprotein level. Comparison was also made among 68 complete CP sequences, which indicated 69.0-70.3 and 73.6-74.4 % identity at nt and aa levels, respectively. The genetic variation was large enough for dermacation of CBSD-associated virus isolates into two distinct species. The name CBSV was retained for isolates that were related to CBSV isolates available in database whereas the new virus described for the first time in this study was named Ugandan cassava brown streak virus (UCBSV) by the International Committee on Virus Taxonomy (ICTV). The isolates TZ:Mlb3:07 and TZ:Kor6:08 belong to UCBSV and CBSV, respectively. The isolates of CBSV and UCBSV were 79.3-95.5% and 86.3-99.3 % identitical at nt level, respectively, suggesting more variation amongst CBSV isolates. The main sources of variation in plant viruses are mutations and recombination. Signals for recombination events were detected in 50% of isolates of each virus. Recombination events were detected in coding and non-coding (3’-UTR) sequences except in the 5’UTR and P3. There was no evidence for recombination between isolates of CBSV and UCBSV. The non-synonomous (dN) to synonomous (dS) nucleotide substitution ratio (ω) for the HAM1h and CP domains of both viruses were ≤ 0.184 suggesting that most sites of these proteins were evolving under strong purifying selection. However, there were individual amino acid sites that were submitted to adaptive evolution. For instance, adaptive evolution was detected in the HAM1h of UCBSV (n=15) where 12 aa sites were under positive selection (P< 0.05) but not in CBSV (n=12). The CP of CBSV (n=23) contained 12 aa sites (p<0.01) while only 5 aa sites in the CP gene of UCBSV were predicted to be submitted to positive selection pressure (p<0.01). The advantages offered by the aa sites under positive selection could not be established but occurrence of such sites in the terminal ends of UCBSV-HAMIh, for example, was interpreted as a requirement for proteolysis during polyprotein processing. Two different primer pairs that simultaneously detect UCBSV and CBSV isolates were developed in this study. They were used successfully to study distribution of CBSV, UCBSV and their mixed infections in Tanzania and Uganda. It was established that the two viruses co-infect cassava and that incidences of co-infection could be as high as 50% around Lake Victoria on the Tanzanian side. Furthermore, it was revealed for the first time that both UCBSV and CBSV were widely distributed in Eastern Africa. The primer pair was also used to confirm infection in a close relative of cassava, Manihot glaziovii (Müller Arg.) with CBSV. DNA barcoding of M. glaziovii was done by sequencing the matK gene. Two out of seven M. glaziovii from the coastal areas of Korogwe and Kibaha in north eastern Tanzania were shown to be infected by CBSV but not UCBSV isolates. Detection in M. glaziovii has an implication in control and management of CBSD as it is likely to serve as virus reservoir. This study has contributed to the understanding of evolution of CBSV and UCBSV, which cause CBSD epidemic in Eastern Africa. The detection tools developed in this work will be useful in plant breeding, verification of the phytosanitary status of materials in regional and international movement of germplasm, and in all diagnostic activities related to management of CBSD. Whereas there are still many issues to be resolved such as the function and biological significance of HAM1h and its origin, this work has laid a foundation upon which the studies on these aspects can be based.

On a Ratio of Functions of Exponential Random Variables and Some Applications

Consider L independent and identically distributed exponential random variables (r.vs) X-1, X-2 ,..., X-L and positive scalars b(1), b(2) ,..., b(L). In this letter, we present the probability density function (pdf), cumulative distribution function and the Laplace transform of the pdf of the composite r.v Z = (Sigma(L)(j=1) X-j)(2) / (Sigma(L)(j=1) b(j)X(j)). We show that the r.v Z appears in various communication systems such as i) maximal ratio combining of signals received over multiple channels with mismatched noise variances, ii)M-ary phase-shift keying with spatial diversity and imperfect channel estimation, and iii) coded multi-carrier code-division multiple access reception affected by an unknown narrow-band interference, and the statistics of the r.v Z derived here enable us to carry out the performance analysis of such systems in closed-form.