http://ir.mu.ac.ke:8080/jspui/handle/123456789/23 2026-07-14T07:10:43Z http://ir.mu.ac.ke:8080/jspui/handle/123456789/10257 Title: Analytical screening of organic chemicals of emerging concern in western Kenya and their contribution to the prevalence of schistosomiasis Authors: Kandie, Faith Jebiwot Abstract: In the past decades, the use and production of chemicals has been on the rise globally due to increasing industrialization and intensive agriculture; resulting in the occurrence and ecotoxicological risks of chemicals of emerging concern (CECs) in the aquatic compartments. Risks include changes in community structure resulting in the dominance of one species and ecosystem imbalance. When dominant disease-causing organisms are in the environment, the disease transmission is increased. For example, host snails for the schistosomiasis, a human trematode disease, are known to be tolerant to pesticide exposure compared to the predators. This would therefore result in an increased abundance of snails which consequently increase the disease transmission in the human population. Kenya, being a low income country faces a lot of challenges with provision of clean water, diseases and sanitation facilities, and increasing population which results in intensive agriculture coupled with pesticide use. Although a lot of research has been carried out on the environmental occurrence and risk of CECs (Chapter 1), most of these studies have been done in developed countries with limited information from Africa. Additionally, research in Africa focused on urban areas with limited number of compounds analyzed and mostly in the water phase, and inadequate information on the effects of CECs on the aquatic organisms. In order to reduce this knowledge gap, this dissertation focused on identification and quantification of CECs present in water, sediment and snails from western Kenya, and the contribution of pesticides to the transmission of schistosomiasis. Chapter 2 gives a summary of the results and discussion of the dissertation. In Chapter 3, a comprehensive chemical analysis was carried out on 48 water samples to identify compounds, spatial patterns and associated risks for fish, crustacean and algae using toxic unit (TU) approach. A total of 78 compounds were detected with pesticides and biocides being the compounds most frequently detected. Spatial pattern analysis revealed limited compound grouping based on land use. Acute risk for crustaceans and algae were driven by one to three individual compounds. These compounds responsible Abstract viii for toxicity were prioritized as candidate compounds for monitoring and regulation in Kenya. In Chapter 4, an extension of Chapter 3 was done to cover the CECs present in snails and sediment from the 48 sites. A total of 30 compounds were found in snails and 78 in sediments with 68 additional compounds being found which were not previously detected in water. Higher contaminant concentrations were found in agricultural sites than in areas without anthropogenic activities. The highest acute toxicity (TU 0.99) was determined for crustaceans based on compounds in sediment samples. The risk was driven by diazinon and pirimiphos-methyl. Acute and chronic risks to algae were driven by diuron whereas fish were found to be at low to no acute risk. In Chapter 5, the effect of pesticide contamination on schistosomiasis transmission was evaluated by applying complimentary laboratory and field studies. In the field studies, the ecological mechanisms through which pesticides and physical chemical parameters affect host snails, predators and competitors were investigated. Pesticide data was obtained from the results in chapter 3. The overall distribution of grazers and predators was not affected by pesticide pollution. However, within the grazers, pesticide pollution increased dominance of host snails. On the contrary, the host-snail competitors were highly sensitive to pesticide exposure. For the laboratory studies, macroinvertebrates including Schistosoma-host snails, competitors and predators were exposed to 6 concentrations levels of imidacloprid and diazinon. Snails showed higher insecticide tolerance compared to competitors and predators. Finally, Chapter 6 summarizes the conclusions of this dissertation, placing it in a broader context. In this dissertation, a comprehensive chemical characterization and risk assessment of CECs has been carried out in freshwater systems; together with the effects of pesticides on schistosomiasis transmission in rural western Kenya. Results of this dissertation showed that rural areas are contaminated posing a risk to aquatic organisms which contribute to schistosomiasis transmission. This shows the need for regular monitoring and policy formulation to reduce pollutant emissions which contributes negatively to both ecological and human health effects 2020-01-01T00:00:00Z http://ir.mu.ac.ke:8080/jspui/handle/123456789/10001 Title: Mathematical modeling and parameter estimation for an optimal Solar food dryer Authors: Korkoren, Kenneth Cheruiyot Abstract: Food shortage in most countries is not only associated with unfavorable weather conditions, but also significantly blamed on ineffective post-harvest handling of food. This calls for an urgent need to address food insecurity in Kenya, in line with Vision 2030 and Government Big 4 Agenda. Eminent threat caused by post-harvest losses due to inadequate drying and poor storage is responsible for up to 40-60% loses of agricultural produce each season. In order to address this issue, this project seeks to model and simulate the characteristics of a solar dryer for the purpose of designing an effective and sustainable, low-cost thermal solar dryer suitable for dehydrating a variety of agricultural produce to ensure prolonged shelf life hence reduce losses. The proposed model is to be formulated using mathematical equations describing integration of four divisions, namely; solar heat collector, circulation of fluid in insulated closed loop pipe network, heat exchangers to generate heated air supplied to the drying chamber and dryer, equipped with humidity control systems, temperature, mass flow rate and energy balance. The mathematical model was formulated and simulation done in order to realize the objectives of delivering a solar drier suitable for drying a wide variety of food products. The simulation results showed that, a solar panel of it was found that a solar collector with aperture area of 𝐴𝑐 = 14.4𝑚2 and volume of 𝑉𝑐 = 500𝑙, when exposed to solar irradiation of 𝐼𝑐 = 1.367𝐾𝑊/𝑚2 at 𝜂𝑐 = 80% efficiency is able to heat water from 𝑇𝑖𝑛 = 220𝐶 to 𝑇𝑐𝑜 = 700𝐶 in 12 hours at a flow rate of 𝑣𝑐 = 1.128𝑙/𝑠, and cumulatively to1300𝐶 in 6 days. This energy if transmitted by insulated pipes to a set of 5 heat exchangers each of 𝐴 = 1𝑚2, and radiative heat transfer coefficient ℎ𝑟 = 100𝑊/𝑚2𝐾 cumulatively dissipates hot air of 2300𝐶 at 𝑣= 250𝑐𝑚3/𝑠, 1300𝐶 at � �=1000𝑐𝑚3/𝑠 and 900𝐶 at 𝑣= 2000𝑐𝑚3/𝑠 air mass flow rate. This output temperatures of dry air are regulated as desired according to the specifications of the food products to be dried. During the night or on cloudy day with minimum or no solar insolation, alternative supplementary source of heat is obtained from petroleum cooking gas, which is regulated automatically depending on the level of solar insolation. It is found that the optimal cost of the gas is 𝐾𝑠ℎ 180/𝑑𝑎𝑦 as opposed to 𝐾𝑠ℎ 560/𝑑𝑎𝑦 when used alone. This is over 67.86% reduction in cost, which makes the use of solar an ideal green energy. 2025-01-01T00:00:00Z http://ir.mu.ac.ke:8080/jspui/handle/123456789/10000 Title: The minimal nilpotent cover of the finite symmetric, alternating and dihedral groups Authors: Kimeu, Arphaxad Ngwava Abstract: Given a group G, a minimal nilpotent cover is a family of subgroups of G of minimal size subject to the property that all of the subgroups are nilpotent and their union is equal to the group G. A maximal non-nilpotent subset is a subset of G of largest size such that for any two distinct elements, the subgroup they generate is not nilpotent. There has been e ort to investigate covers of groups with particular structure, speci cally normal and abelian covers; much has not been done on nilpotent covers. The main objective of this study was to conduct an analysis of minimal nilpotent cover for each of the three families of groups; nite symmetric group Sn, alternating group An and dihedral group D2k, which are ubiquitous throughout the discipline of mathematics. The speci c objectives were to; investigate nilpotent covers, analyse their relationship with non-nilpotent sub sets, investigate the size of minimal nilpotent cover and maximal non-nilpotent subset and apply group theoretic properties in determining a general formula for the size of the minimal nilpotent cover for each family. The analysis was carried out by means of mathematical proofs based on logical approach together with results from computer algebra package GAP and properties of permutations as well as group action on a k-gon . It has been established that except for A9, the size of minimal nilpotent cover for each of Sn, An for n = 34 10, and D2k, coincide with size of maximal non-nilpotent subset. For D2k, a general formula is produced for k = 34 . The results of this study bene t scientists in identi fying redundancy in the analysis of possible organic molecular structures, solve molecular conformation problems as well as mathematicians in expanding knowl edge in group theoretic concepts. For Sn, only for n = 34 10 were analyzed since as n grows large, it becomes complex and even computer algebra package GAPcannot generate any results. We therefore recommend an investigation on a general formula for minimal nilpotent cover of the nite symmetric group Sn as well as the nite alternating group, An 2025-01-01T00:00:00Z http://ir.mu.ac.ke:8080/jspui/handle/123456789/9913 Title: Asymptotic behaviour of solutions of discretised unbounded positive symmetric and dirac operators on Hilbert Spaces Authors: Owino, Benard Odhiambo Abstract: Stability analysis has been investigated for deficiency indices and spectrum of sym- metric higher order differential operators. It has been established that deficiency indices and discrete spectrum are stable under bounded perturbations whereas sin- gular continuous spectrum is not stable even under finite rank perturbations. How- ever, little has been done to establish the stability of existence of positive self-adjoint operator extensions under unbounded perturbations. Similarly, asymptotic analysis for discretised Dirac operators with unbounded coefficients was limited. This study has added to existing knowledge on the related areas as well as analysed the stability of national income using asymptotics of the solutions. The main goal of this research was to analyse the stability of existence of positive self-adjoint operator extension of symmetric operators under unbounded perturbations and asymptotic behaviour of solutions of discrete Dirac operators. The specific objectives of this study were to: 1) Construct positive perturbed difference operators with unbounded potentials, 2) Analyse the necessary and sufficient conditions for the stability of existence of positive self-adjoint operator extension under unbounded perturbations, 3) Inves- tigate the spectral properties of self-adjoint operator extensions of the perturbed difference operators with unbounded coefficients, and 4) Examine the asymptotic behavior of solutions of the discretised Dirac system with unbounded potentials. In- ner products of Hilbert spaces was applied to obtain coefficients growth conditions for the construction of positive symmetric difference operators. Asymptotic sum- mation based on discretised Levinson theorem, and von Neumann theorem for the existence of self-adjoint operator extensions were used to determine the existence of the positive self-adjoint operator extensions of the positive symmetric operators. The M-matrix of square summable eigensolutions was constructed and its spectral measures applied to determine the spectral properties of the positive self-adjoint op- erator extensions. Finally, the matrix asymptotic summation was applied to obtain the asymptotic properties of the Dirac difference operator. Suppose L 1 and L 2 are fourth and second-order symmetric difference operators with L = L 1 –zL 2 , where z is a real constant, and if the leading coefficient of L 1 dominates the coefficients of L 2 , then L 1 and L are positive symmetric operators. Furthermore, the deficiency indices of L 1 and L are (n, n), 2 ≤ n ≤ 4, with each operator L 1 and L having positive self-adjoint operator extensions even if their coefficients are unbounded. The abso- lutely continuous spectra of H 1 and H, the positive self-adjoint operator extensions of L 1 and L respectively are subsets of (0, ∞) of spectral multiplicity two whenever the leading coefficient of L 1 is unbounded. The solutions of the Dirac system were the product of their transforming matrices and the direct product of the eigenval- ues matrix with asymptotic behavior of the solutions determined by the unbounded potentials. These results can be applied by economists to study the stability of national income via the Keynesian model. Due to the complexity in computations of roots of polynomials of higher degrees more than four, similar analysis could not be investigated for order six or more. It is thus recommended that order six or more could be analysed in future using numerical analysis techniques. 2025-01-01T00:00:00Z