Botswana International University of Science and TechnologyThe BIUSTRE digital repository system captures, stores, indexes, preserves, and distributes digital research material.http://repository.biust.ac.bw:802021-09-17T23:07:37Z2021-09-17T23:07:37ZA computational study of the s2 state in the oxygen-evolving complex of photosystem II by electron paramagnetic resonance spectroscopyBaituti, BernardOdisitse, Sebusihttp://repository.biust.ac.bw/handle/123456789/3472021-09-11T16:03:16Z2021-05-04T00:00:00ZA computational study of the s2 state in the oxygen-evolving complex of photosystem II by electron paramagnetic resonance spectroscopy
Baituti, Bernard; Odisitse, Sebusi
The S2 state produces two basic electron paramagnetic resonance signal types due to the manganese cluster in oxygen-evolving complex, which are influenced by the solvents, and cryoprotectant added to the photosystem II samples. It is presumed that a single manganese center oxidation occurs on S1 → S2 state transition. The S2 state has readily visible multiline and g4.1 electron paramagnetic resonance signals and hence it has been the most studied of all the Kok cycle intermediates due to the ease of experimental preparation and stability. The S2 state was studied using electron paramagnetic resonance spectroscopy at X-band frequencies. The aim of this study was to determine the spin states of the g4.1 signal. The multiline signal was observed to arise from a ground state spin12 centre while the g4.1 signal generated at ≈140 K NIR illumination was proposed to arise from a spin52 center with rhombic distortion. The ‘ground’ state g4.1 signal was generated solely or by conversion from the multiline. The data analysis methods used involved numerical simulations of the experimental spectra on relevant models of the oxygen-evolving complex cluster. A strong focus in this paper was on the ‘ground’ state g4.1 signal, whether it is a rhombic52 spin state signal or an axial32 spin state signal. The data supported an X-band CW-EPR-generated g4.1 signal as originating from a near rhombic spin 5/2 of the S2 state of the PSII manganese cluster.
2021-05-04T00:00:00ZFixed points of relaxed (ψ, ϕ)-weakly N-contraction mappings in modular spacesWega, Getahun BekeleHabtu, Zegeye HailuBoikanyo, Oganeditsehttp://repository.biust.ac.bw/handle/123456789/3462021-09-11T15:53:11Z2020-01-01T00:00:00ZFixed points of relaxed (ψ, ϕ)-weakly N-contraction mappings in modular spaces
Wega, Getahun Bekele; Habtu, Zegeye Hailu; Boikanyo, Oganeditse
The purpose of this paper is to study the existence and approximation of a common fixed point of a pair of mappings satisfying a relaxed (ψ, ϕ)-weakly N-contractive condition and existence and approximation of a fixed point of a relaxed (ψ, ϕ)-weakly N-contraction mapping in the setting of modular spaces. Our theorems improve and generalize the results in Mongkolkeha and Kumam [23] and Öztürk et. al [26]. To validate our results numerical examples are provided.
2020-01-01T00:00:00ZA strong convergence theorem for a zero of the sum of a finite family of maximally monotone mappingsWega, Getahun BekeleHabtu, Zegeye HailuBoikanyo, Oganeditsehttp://repository.biust.ac.bw/handle/123456789/3452021-09-11T15:45:06Z2020-07-08T00:00:00ZA strong convergence theorem for a zero of the sum of a finite family of maximally monotone mappings
Wega, Getahun Bekele; Habtu, Zegeye Hailu; Boikanyo, Oganeditse
The purpose of this article is to study the method of approximation for zeros of the sum of a finite family of maximally monotone mappings and prove strong convergence of the proposed approximation method under suitable conditions. The method of proof is of independent interest. In addition, we give some applications to the minimization problems and provide a numerical example which supports our main result. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear mappings.
2020-07-08T00:00:00ZThe exponentiated odd weibull-topp-leone-g family of distributions: model, properties and applicationsChamunorwa, SimbarasheOluyede, BroderickMakubate, BoikanyoChipepa, Fastelhttp://repository.biust.ac.bw/handle/123456789/3442021-09-11T15:32:05Z2021-04-01T00:00:00ZThe exponentiated odd weibull-topp-leone-g family of distributions: model, properties and applications
Chamunorwa, Simbarashe; Oluyede, Broderick; Makubate, Boikanyo; Chipepa, Fastel
In this paper, a new generalized family of distributions called the exponentiated odd
Weibull-Topp-Leone-G (EOW-TL-G) family of distributions is presented. A linear
representation of the proposed model is also presented. A simulation study to examine the
consistency of the maximum likelihood estimates is conducted. Usefulness of the new
proposed model was assessed by means of applications to two real data examples.
2021-04-01T00:00:00Z