Search results for: differential outcomes
4944 A Family of Second Derivative Methods for Numerical Integration of Stiff Initial Value Problems in Ordinary Differential Equations
Authors: Luke Ukpebor, C. E. Abhulimen
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Stiff initial value problems in ordinary differential equations are problems for which a typical solution is rapidly decaying exponentially, and their numerical investigations are very tedious. Conventional numerical integration solvers cannot cope effectively with stiff problems as they lack adequate stability characteristics. In this article, we developed a new family of four-step second derivative exponentially fitted method of order six for the numerical integration of stiff initial value problem of general first order differential equations. In deriving our method, we employed the idea of breaking down the general multi-derivative multistep method into predator and corrector schemes which possess free parameters that allow for automatic fitting into exponential functions. The stability analysis of the method was discussed and the method was implemented with numerical examples. The result shows that the method is A-stable and competes favorably with existing methods in terms of efficiency and accuracy.Keywords: A-stable, exponentially fitted, four step, predator-corrector, second derivative, stiff initial value problems
Procedia PDF Downloads 2584943 Educational Innovation through Coaching and Mentoring in Thailand: A Mixed Method Evaluation of the Training Outcomes
Authors: Kanu Priya Mohan
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Innovation in education is one of the essential pathways to achieve both educational, and development goals in today’s dynamically changing world. Over the last decade, coaching and mentoring have been applied in the field of education as positive intervention techniques for fostering teaching and learning reforms in the developed countries. The context of this research was Thailand’s educational reform process, wherein a project on coaching and mentoring (C&M) was launched in 2014. The C&M project endeavored to support the professional development of the school teachers in the various provinces of Thailand, and to also enable them to apply C&M for teaching innovative instructional techniques. This research aimed to empirically investigate the learning outcomes for the master trainers, who trained for coaching and mentoring as the first step in the process to train the school teachers. A mixed method study was used for evaluating the learning outcomes of training in terms of cognitive- behavioral-affective dimensions. In the first part of the research a quantitative research design was incorporated to evaluate the effects of learner characteristics and instructional techniques, on the learning outcomes. In the second phase, a qualitative method of in-depth interviews was used to find details about the training outcomes, as well as the perceived barriers and enablers of the training process. Sample size constraints were there, yet these exploratory results, integrated from both methods indicated the significance of evaluating training outcomes from the three dimensions, and the perceived role of other factors in the training. Findings are discussed in terms of their implications for the training of C&M, and also their impact in fostering positive education through innovative educational techniques in the developing countries.Keywords: cognitive-behavioral-affective learning outcomes, mixed method research, teachers in Thailand, training evaluation
Procedia PDF Downloads 2744942 Image Transform Based on Integral Equation-Wavelet Approach
Authors: Yuan Yan Tang, Lina Yang, Hong Li
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Harmonic model is a very important approximation for the image transform. The harmanic model converts an image into arbitrary shape; however, this mode cannot be described by any fixed functions in mathematics. In fact, it is represented by partial differential equation (PDE) with boundary conditions. Therefore, to develop an efficient method to solve such a PDE is extremely significant in the image transform. In this paper, a novel Integral Equation-Wavelet based method is presented, which consists of three steps: (1) The partial differential equation is converted into boundary integral equation and representation by an indirect method. (2) The boundary integral equation and representation are changed to plane integral equation and representation by boundary measure formula. (3) The plane integral equation and representation are then solved by a method we call wavelet collocation. Our approach has two main advantages, the shape of an image is arbitrary and the program code is independent of the boundary. The performance of our method is evaluated by numerical experiments.Keywords: harmonic model, partial differential equation (PDE), integral equation, integral representation, boundary measure formula, wavelet collocation
Procedia PDF Downloads 5584941 Health Outcomes and Economic Growth Nexus: Testing for Long-run Relationships and Causal Links in Nigeria
Authors: Haruna Modibbo Usman, Mustapha Muktar, Nasiru Inuwa
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This paper examined the long run relationship between health outcomes and economic growth in Nigeria from 1961 to 2012. Using annual time series data, Augmented Dickey-Fuller (ADF) test is conducted to check the stochastic properties of the variables. Also, the long run relationship among the variables is confirmed based on Johansen Multivariate Cointegration approach whereas the long run and short run dynamics are observed using Vector Error Correction Mechanism (VECM). In addition, VEC Granger causality test is employed to examine the direction of causality among the variables. On the whole, the results obtained revealed the existence of a long run relationship between health outcomes and economic growth in Nigeria and that both life expectancy and crude death rate as measures of health are found to have a long run negative and statistically significant impact on the economic growth over the study period. This is further buttressed by the results of Granger causality test which indicated the existence of unidirectional causality running from life expectancy and crude death rate to economic growth. The study therefore, calls for governments at various levels to create preconditions for health improvements in Nigeria in order to boost the level of health outcomes.Keywords: cointegration, economic growth, Granger causality, health outcomes, VECM
Procedia PDF Downloads 4904940 A Review of Kinematics and Joint Load Forces in Total Knee Replacements Influencing Surgical Outcomes
Authors: Samira K. Al-Nasser, Siamak Noroozi, Roya Haratian, Adrian Harvey
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A total knee replacement (TKR) is a surgical procedure necessary when there is severe pain and/or loss of function in the knee. Surgeons balance the load in the knee and the surrounding soft tissue by feeling the tension at different ranges of motion. This method can be unreliable and lead to early failure of the joint. The ideal kinematics and load distribution have been debated significantly based on previous biomechanical studies surrounding both TKRs and normal knees. Intraoperative sensors like VERASENSE and eLibra have provided a method for the quantification of the load indicating a balanced knee. A review of the literature written about intraoperative sensors and tension/stability of the knee was done. Studies currently debate the quantification of the load in medial and lateral compartments specifically. However, most research reported that following a TKR the medial compartment was loaded more heavily than the lateral compartment. In several cases, these results were shown to increase the success of the surgery because they mimic the normal kinematics of the knee. In conclusion, most research agrees that an intercompartmental load differential of between 10 and 20 pounds, where the medial load was higher than the lateral, and an absolute load of less than 70 pounds was ideal. However, further intraoperative sensor development could help improve the accuracy and understanding of the load distribution on the surgical outcomes in a TKR. A reduction in early revision surgeries for TKRs would provide an improved quality of life for patients and reduce the economic burden placed on both the National Health Service (NHS) and the patient.Keywords: intraoperative sensors, joint load forces, kinematics, load balancing, and total knee replacement
Procedia PDF Downloads 1364939 Intended-Actual First Asking/Offer Price Discrepancies and Their Impact on Negotiation Behaviour and Outcomes
Authors: Liuyao Chai, Colin Clark
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Analysis of 574 participants in a simulated two-person distributive negotiation revealed that the first price 245 (42.7%) of these participants actually asked/offered for the item under negotiation (a used car) differed from the first price they previously stated they intended to ask/offer during their negotiation. This discrepancy between a negotiator’s intended first asking/offer price and his/her actual first asking/offer price had a significant and economically consequential impact on both the course and the outcomes of the negotiations studied. Participants whose actual first price remained the same as their intended first price tended to secure better negotiation outcomes. Moreover, participants who changed their intended first price tended to obtain relatively lower outcomes regardless of whether their modified first announced price had created a negotiating position that was ‘stronger’ or ‘weaker’ than if they had opened with their intended first price. Subsequent investigation of over twenty negotiation behaviours and pre-negotiation perceptual variables within this dataset indicated that the three types of first price announcers—i.e. intended first asking/offer price ‘weakeners’, ‘maintainers’ and ‘strengtheners’— comprised persons who tended to have significantly different pre-negotiation perceptions and behaved in systematically different ways during their negotiation. Typically, the most negative, outcome-compromising consequences of changing, weakening or strengthening an intended first price occurred at the very beginning of a negotiation when participants exchanged their actual first asking/offer prices.Keywords: business communication, negotiation, persuasion, intended first asking/offer prices, bargaining
Procedia PDF Downloads 3704938 Gastrointestinal Manifestations and Outcomes in Hospitalized COVID-19 Patients: A Retrospective Study
Authors: Jaylo Abalos, Sophia Zamora
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BACKGROUND: Various gastrointestinal (GI) symptoms, including diarrhea, nausea/vomiting and abdominal pain, have been reported in patients with Coronavirus disease 2019 (COVID-19). In this context, the presence of GI symptoms is variably associated with poor clinical outcomes in COVID-19. We aim to determine the outcomes of hospitalized COVID-19 patients with gastrointestinal symptoms. METHODOLOGY: This is a retrospective cohort study that used medical records of admitted COVID-19 patients from March 2020- March 2021 in a tertiary hospital in Pangasinan. Data records were evaluated for the presence of gastrointestinal manifestations, including diarrhea, nausea, vomiting and abdominal pain at the time of admission. Comparison between cases or COVID-19 patients presenting with GI manifestations to controls or COVID-19 patients without GI manifestation was made. RESULTS: Four hundred three patients were included in the study. Of these, 22.3% presented with gastrointestinal symptoms, while 77.7% comprised the study controls. Diarrhea was the most common GI symptom (10.4%). No statistically significant difference was observed in comorbidities and laboratory findings. Mortality was the primary outcome of the study that did not reach statistical significance between cases and controls (13.33% vs. 16.30%, p =0.621). There were also no significant differences observed in the secondary outcomes, mean length of stay, (14 [12-18 days] in cases vs 14 [12- 17.5 days] in controls, p = 0.716) and need for mechanical ventilation (12.22% vs 16.93%, p = 0.329). CONCLUSION: The results of the study revealed no association of the GI symptoms to poor outcomes, including a high rate of mortality, prolonged length of stay and increased need for mechanical ventilation.Keywords: gastrointestinal symptoms, COVID-19, outcomes, mortality, length of stay
Procedia PDF Downloads 1384937 Differential Item Functioning in the Vocabulary Test of Grade 7 Students in Public and Private Schools
Authors: Dave Kenneth Tayao Cayado, Carlo P. Magno
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The most common source of bias detected are those of gender and socioeconomic status. The present study investigated the Differential Item Functioning (DIF) or item bias between public and private school students in a vocabulary test. Studies on DIF were expanded by using the type of school as a source of bias. There were 200 participants in this study. 100 came from a public secondary school and 100 came from a private secondary school. The vocabulary skills of students were measured using a standardized vocabulary test for grade 7 students. Using DIF, specifically the Rasch-Welch approach, it was found that out of 24 items, 12 were biased for a specific group. The vocabulary skills on the use of slang, idiomatic expression, personification, collocations, and partitive relations were biased for private schools while the use of slang and homonymous words were biased for public school students. The analysis debunked the trend that private school students are outperforming public school students in terms of academic achievement. It was revealed that there are some competencies that private school students are having difficulty and vice versa.Keywords: differential item functioning, item bias, public school students, private school students, vocabulary
Procedia PDF Downloads 1914936 Individual and Organisational Outcomes of Psychosocial Hazard Exposures in Disaster and Emergency work: Qualitative Evidence from Ghana
Authors: Elias Kodjo Kekesi
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This study seeks to investigate a critical but neglected area in disaster and emergency management in Ghana. It explores aspects of work within one of the safety-critical work environments that expose workers to psychological, social and physical harm. With much attention to crises’ survivors, deceased and their families, this research attempts to answer a key question: ‘What happens to the rescuer’? Emergency response is associated with immense and unprecedented pressure that puts responders’ physical, mental and social well-being at risk. Despite the negative psychological outcomes, scholars argue that being in a traumatic situation may trigger positive outcomes for some people. Thus, the study also focuses on the positive impact of working in a risky crisis environment. Additionally, people’s interpretation of negative experiences or exposure to adverse conditions differ owing to their personal resources which explains why some people may be negatively affected whiles others are positively impacted. To examine these complex nuances, an exploratory sequential mixed method design is adopted. This paper will highlight the findings of study one, which explores the underlying themes emerging from the Ghanaian disaster and emergency response environment regarding psychosocial hazard exposures and the corresponding outcomes.Keywords: psychosocial hazards, organisational outcomes, qualitative research, Ghana
Procedia PDF Downloads 804935 Outcomes-Based Qualification Design and Vocational Subject Literacies: How Compositional Fallacy Short-Changes School-Leavers’ Literacy Development
Authors: Rose Veitch
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Learning outcomes-based qualifications have been heralded as the means to raise vocational education and training (VET) standards, meet the needs of the changing workforce, and establish equivalence with existing academic qualifications. Characterized by explicit, measurable performance statements and atomistically specified assessment criteria, the outcomes model has been adopted by many VET systems worldwide since its inception in the United Kingdom in the 1980s. Debate to date centers on how the outcomes model treats knowledge. Flaws have been identified in terms of the overemphasis of end-points, neglect of process and a failure to treat curricula coherently. However, much of this censure has evaluated the outcomes model from a theoretical perspective; to date, there has been scant empirical research to support these criticisms. Various issues therefore remain unaddressed. This study investigates how the outcomes model impacts the teaching of subject literacies. This is of particular concern for subjects on the academic-vocational boundary such as Business Studies, since many of these students progress to higher education in the United Kingdom. This study also explores the extent to which the outcomes model is compatible with borderline vocational subjects. To fully understand if this qualification model is fit for purpose in the 16-18 year-old phase, it is necessary to investigate how teachers interpret their qualification specifications in terms of curriculum, pedagogy and assessment. Of particular concern is the nature of the interaction between the outcomes model and teachers’ understandings of their subject-procedural knowledge, and how this affects their capacity to embed literacy into their teaching. This present study is part of a broader doctoral research project which seeks to understand if and how content-area, disciplinary literacy and genre approaches can be adapted to outcomes-based VET qualifications. This qualitative research investigates the ‘what’ and ‘how’ of literacy embedding from the perspective of in-service teacher development in the 16-18 phase of education. Using ethnographic approaches, it is based on fieldwork carried out in one Further Education college in the United Kingdom. Emergent findings suggest that the outcomes model is not fit for purpose in the context of borderline vocational subjects. It is argued that the outcomes model produces inferior qualifications due to compositional fallacy; the sum of a subject’s components do not add up to the whole. Findings indicate that procedural knowledge, largely unspecified by some outcomes-based qualifications, is where subject-literacies are situated, and that this often gets lost in ‘delivery’. It seems that the outcomes model provokes an atomistic treatment of knowledge amongst teachers, along with the privileging of propositional knowledge over procedural knowledge. In other words, outcomes-based VET is a hostile environment for subject-literacy embedding. It is hoped that this research will produce useful suggestions for how this problem can be ameliorated, and will provide an empirical basis for the potential reforms required to address these issues in vocational education.Keywords: literacy, outcomes-based, qualification design, vocational education
Procedia PDF Downloads 114934 Analytical Approach to Study the Uncertainties Related to the Behavior of Structures Submitted to Differential Settlement
Authors: Elio El Kahi, Michel Khouri, Olivier Deck, Pierre Rahme, Rasool Mehdizadeh
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Recent developments in civil engineering create multiple interaction problems between the soil and the structure. One of the major problems is the impact of ground movements on buildings. Consequently, managing risks associated with these movements, requires a determination of the different influencing factors and a specific knowledge of their variability/uncertainty. The main purpose of this research is to study the behavior of structures submitted to differential settlement, in order to assess their vulnerability, taking into consideration the different sources of uncertainties. Analytical approach is applied to investigate on one hand the influence of these uncertainties that are related to the soil, and on the other hand the structure stiffness variation with the presence of openings and the movement transmitted between them as related to the origin and shape of the free-field movement. Results reveal the effect of taking these uncertainties into consideration, and specify the dominant and most significant parameters that control the ground movement associated with the Soil-Structure Interaction (SSI) phenomenon.Keywords: analytical approach, building, damage, differential settlement, soil-structure interaction, uncertainties
Procedia PDF Downloads 2354933 Representation of the Solution of One Dynamical System on the Plane
Authors: Kushakov Kholmurodjon, Muhammadjonov Akbarshox
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This present paper is devoted to a system of second-order nonlinear differential equations with a special right-hand side, exactly, the linear part and a third-order polynomial of a special form. It is shown that for some relations between the parameters, there is a second-order curve in which trajectories leaving the points of this curve remain in the same place. Thus, the curve is invariant with respect to the given system. Moreover, this system is invariant under a non-degenerate linear transformation of variables. The form of this curve, depending on the relations between the parameters and the eigenvalues of the matrix, is proved. All solutions of this system of differential equations are shown analytically.Keywords: dynamic system, ellipse, hyperbola, Hess system, polar coordinate system
Procedia PDF Downloads 1934932 Unsteady Reactive Hydromagnetic Fluid Flow of a Two-Step Exothermic Chemical Reaction through a Channel
Authors: J. A. Gbadeyan, R. A. Kareem
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In this paper, we investigated the effects of unsteady internal heat generation of a two-step exothermic reactive hydromagnetic fluid flow under different chemical kinetics namely: Sensitized, Arrhenius and Bimolecular kinetics through an isothermal wall temperature channel. The resultant modeled nonlinear partial differential equations were simplified and solved using a combined Laplace-Differential Transform Method (LDTM). The solutions obtained were discussed and presented graphically to show the salient features of the fluid flow and heat transfer characteristics.Keywords: unsteady, reactive, hydromagnetic, couette ow, exothermi creactio
Procedia PDF Downloads 4484931 Method to Find a ε-Optimal Control of Stochastic Differential Equation Driven by a Brownian Motion
Authors: Francys Souza, Alberto Ohashi, Dorival Leao
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We present a general solution for finding the ε-optimal controls for non-Markovian stochastic systems as stochastic differential equations driven by Brownian motion, which is a problem recognized as a difficult solution. The contribution appears in the development of mathematical tools to deal with modeling and control of non-Markovian systems, whose applicability in different areas is well known. The methodology used consists to discretize the problem through a random discretization. In this way, we transform an infinite dimensional problem in a finite dimensional, thereafter we use measurable selection arguments, to find a control on an explicit form for the discretized problem. Then, we prove the control found for the discretized problem is a ε-optimal control for the original problem. Our theory provides a concrete description of a rather general class, among the principals, we can highlight financial problems such as portfolio control, hedging, super-hedging, pairs-trading and others. Therefore, our main contribution is the development of a tool to explicitly the ε-optimal control for non-Markovian stochastic systems. The pathwise analysis was made through a random discretization jointly with measurable selection arguments, has provided us with a structure to transform an infinite dimensional problem into a finite dimensional. The theory is applied to stochastic control problems based on path-dependent stochastic differential equations, where both drift and diffusion components are controlled. We are able to explicitly show optimal control with our method.Keywords: dynamic programming equation, optimal control, stochastic control, stochastic differential equation
Procedia PDF Downloads 1884930 Study of Composite Beam under the Effect of Shear Deformation
Authors: Hamid Hamli Benzahar
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The main goal of this research is to study the deflection of a composite beam CB taking into account the effect of shear deformation. The structure is made up of two beams of different sections, joined together by thin adhesive, subjected to end moments and a distributed load. The fundamental differential equation of CB can be obtained from the total energy equation while considering the shear deformation. The differential equation found will be compared with those found in CB, where the shear deformation is zero. The CB system is numerically modeled by the finite element method, where the numerical results of deflection will be compared with those found theoretically.Keywords: composite beam, shear deformation, moments, finites elements
Procedia PDF Downloads 764929 Charting the Course: Using group Charters to Enhance Engagement and Learning Outcomes
Authors: Angela Knox
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Student diversity in postgraduate classes puts major challengesoneducatorsseekingtoencouragestudentengagementand desired learning outcomes. This paper outlines the impact of a set of teaching initiatives aimed at addressing challenges associated with teaching and learning in an environment characterized by diversity in the student cohort. The study examines postgraduate students completing the core capstone unit within a specialized business degree. Although relatively small, the student cohort is highly diverse in terms of cultural backgrounds represented, prior learning and/or qualifications,aswellasdurationandtypeofworkexperiencerelevant to the degree being completed. The wide range of cultures, existing knowledge, and experience create enormous challenges with respect to students’ learning needs and outcomes. Subsequently, a suite of teaching innovations has been adopted to enhance curriculum content/delivery and the design of assessments. This paperexplores the impact of formalized group charters on students’ learning outcomes. Data from surveys and focus groups are used to assess the effectiveness of these practices. The results highlight the effectiveness of formalizedgroup charters in addressing diverse student needs and enhancing student engagement and learning outcomes. Thesefindings suggest that such practices would benefit students’ learning in environments marked by diversity in the student cohort. Specific recommendationsareofferedforothereducatorsworkingwithdiverse classes.Keywords: assessment design, curriculum content, curriculum delivery, group charter, student diversity
Procedia PDF Downloads 1354928 Surgical Outcomes of Lung Cancer Surgery in Tasmania
Authors: Ayeshmanthe Rathnayake, Ashutosh Hardikar
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Introduction: Lung cancer is the most common cause of cancer death in Australia, with more than 13000 cases per year. Until now, there has been a major deficiency of national comprehensive thoracic surgery data. The thoracic workload for surgeons as well as caseload per unit, is highly variable, with some centres performing less than 15 cases per annum, thus raising concerns about optimal care at low-volume sites. This is an attempt to review the outcomes of lung cancer surgery in Tasmania. Method: The objective of this study is to determine the surgical outcomes of lung cancer surgery at Royal Hobart Hospital (RHH) with the primary outcome of surgical mortality. Four hundred fifty-one cases were analysed retrospectively from 2010 to May 2022. Results: A total of 451 patients underwent thoracic surgery with a primary diagnosis of lung cancer. The primary outcome of 30-day mortality was <0.5%. The mean age was 65.3 years, with male predominance and a 4.2% prevalence of Indigenous Australians. The mean LOS was 7.5 days. The surgical approach was either VATS (50.3%) or Thoracotomy (49.7%), with a trend towards the former in recent years with an increase in the proportion of VATS from 18.2% to 51% (p<0.05) in complex resections since 2019. A corresponding reduction in conversion rate to open was observed (18% vs. 5.5%), and there were no deaths within this subgroup. Lung resections were divided into lobectomy (55.4%), wedge resection (36.8%), segmentectomy (2.9%) and pneumonectomy (4.9%). The RHH demonstrates good surgical outcomes for lung cancer and provides a sustainable service for Tasmania. Conclusion: This retrospective study reports the surgical outcomes of lung cancer surgery at the Royal Hobart Hospital, thereby providing insight into the surgical management of lung cancer in the state thus far. The state has been slow to catch up on the minimally invasive program, but the overall results have been comparable to most peers.Keywords: lung cancer, thoracic surgery, lung resection, surgical outcomes
Procedia PDF Downloads 974927 Robotic Assisted vs Traditional Laparoscopic Partial Nephrectomy Peri-Operative Outcomes: A Comparative Single Surgeon Study
Authors: Gerard Bray, Derek Mao, Arya Bahadori, Sachinka Ranasinghe
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The EAU currently recommends partial nephrectomy as the preferred management for localised cT1 renal tumours, irrespective of surgical approach. With the advent of robotic assisted partial nephrectomy, there is growing evidence that warm ischaemia time may be reduced compared to the traditional laparoscopic approach. There is still no clear differences between the two approaches with regards to other peri-operative and oncological outcomes. Current limitations in the field denote the lack of single surgeon series to compare the two approaches as other studies often include multiple operators of different experience levels. To the best of our knowledge, this study is the first single surgeon series comparing peri-operative outcomes of robotic assisted and laparoscopic PN. The current study aims to reduce intra-operator bias while maintaining an adequate sample size to assess the differences in outcomes between the two approaches. We retrospectively compared patient demographics, peri-operative outcomes, and renal function derangements of all partial nephrectomies undertaken by a single surgeon with experience in both laparoscopic and robotic surgery. Warm ischaemia time, length of stay, and acute renal function deterioration were all significantly reduced with robotic partial nephrectomy, compared to laparoscopic nephrectomy. This study highlights the benefits of robotic partial nephrectomy. Further prospective studies with larger sample sizes would be valuable additions to the current literature.Keywords: partial nephrectomy, robotic assisted partial nephrectomy, warm ischaemia time, peri-operative outcomes
Procedia PDF Downloads 1414926 Academic Performance and Therapeutic Breathing
Authors: Abha Gupta, Seema Maira, Smita Sinha
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This paper explores using breathing techniques to boost the academic performance of students and describes how teachers can foster the technique in their classrooms. The innovative study examines the differential impact of therapeutic breathing exercises, called pranayama, on students’ academic performance. The paper introduces approaches to therapeutic breathing exercises as an alternative to improve school performance, as well as the self-regulatory behavior, which is known to correlate with academic performance. The study was conducted in a school-wide pranayama program with positive outcomes. The intervention consisted of two breathing exercises, (1) deep breathing, and (2) alternate nostril breathing. It is a quantitative study spanning over a year with about 100 third graders was conducted using daily breathing exercises to investigate the impact of pranayama on academic performance. Significant cumulative gain-scores were found for students who practiced the approach.Keywords: academic performance, pranayama, therapeutic breathing, yoga
Procedia PDF Downloads 4914925 A Study of Non Linear Partial Differential Equation with Random Initial Condition
Authors: Ayaz Ahmad
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In this work, we present the effect of noise on the solution of a partial differential equation (PDE) in three different setting. We shall first consider random initial condition for two nonlinear dispersive PDE the non linear Schrodinger equation and the Kortteweg –de vries equation and analyse their effect on some special solution , the soliton solutions.The second case considered a linear partial differential equation , the wave equation with random initial conditions allow to substantially decrease the computational and data storage costs of an algorithm to solve the inverse problem based on the boundary measurements of the solution of this equation. Finally, the third example considered is that of the linear transport equation with a singular drift term, when we shall show that the addition of a multiplicative noise term forbids the blow up of solutions under a very weak hypothesis for which we have finite time blow up of a solution in the deterministic case. Here we consider the problem of wave propagation, which is modelled by a nonlinear dispersive equation with noisy initial condition .As observed noise can also be introduced directly in the equations.Keywords: drift term, finite time blow up, inverse problem, soliton solution
Procedia PDF Downloads 2154924 Feature Extraction of MFCC Based on Fisher-Ratio and Correlated Distance Criterion for Underwater Target Signal
Authors: Han Xue, Zhang Lanyue
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In order to seek more effective feature extraction technology, feature extraction method based on MFCC combined with vector hydrophone is exposed in the paper. The sound pressure signal and particle velocity signal of two kinds of ships are extracted by using MFCC and its evolution form, and the extracted features are fused by using fisher-ratio and correlated distance criterion. The features are then identified by BP neural network. The results showed that MFCC, First-Order Differential MFCC and Second-Order Differential MFCC features can be used as effective features for recognition of underwater targets, and the fusion feature can improve the recognition rate. Moreover, the results also showed that the recognition rate of the particle velocity signal is higher than that of the sound pressure signal, and it reflects the superiority of vector signal processing.Keywords: vector information, MFCC, differential MFCC, fusion feature, BP neural network
Procedia PDF Downloads 5294923 A Trapezoidal-Like Integrator for the Numerical Solution of One-Dimensional Time Dependent Schrödinger Equation
Authors: Johnson Oladele Fatokun, I. P. Akpan
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In this paper, the one-dimensional time dependent Schrödinger equation is discretized by the method of lines using a second order finite difference approximation to replace the second order spatial derivative. The evolving system of stiff ordinary differential equation (ODE) in time is solved numerically by an L-stable trapezoidal-like integrator. Results show accuracy of relative maximum error of order 10-4 in the interval of consideration. The performance of the method as compared to an existing scheme is considered favorable.Keywords: Schrodinger’s equation, partial differential equations, method of lines (MOL), stiff ODE, trapezoidal-like integrator
Procedia PDF Downloads 4184922 Zero-Dissipative Explicit Runge-Kutta Method for Periodic Initial Value Problems
Authors: N. Senu, I. A. Kasim, F. Ismail, N. Bachok
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In this paper zero-dissipative explicit Runge-Kutta method is derived for solving second-order ordinary differential equations with periodical solutions. The phase-lag and dissipation properties for Runge-Kutta (RK) method are also discussed. The new method has algebraic order three with dissipation of order infinity. The numerical results for the new method are compared with existing method when solving the second-order differential equations with periodic solutions using constant step size.Keywords: dissipation, oscillatory solutions, phase-lag, Runge-Kutta methods
Procedia PDF Downloads 4114921 Solving the Economic Load Dispatch Problem Using Differential Evolution
Authors: Alaa Sheta
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Economic Load Dispatch (ELD) is one of the vital optimization problems in power system planning. Solving the ELD problems mean finding the best mixture of power unit outputs of all members of the power system network such that the total fuel cost is minimized while sustaining operation requirements limits satisfied across the entire dispatch phases. Many optimization techniques were proposed to solve this problem. A famous one is the Quadratic Programming (QP). QP is a very simple and fast method but it still suffer many problem as gradient methods that might trapped at local minimum solutions and cannot handle complex nonlinear functions. Numbers of metaheuristic algorithms were used to solve this problem such as Genetic Algorithms (GAs) and Particle Swarm Optimization (PSO). In this paper, another meta-heuristic search algorithm named Differential Evolution (DE) is used to solve the ELD problem in power systems planning. The practicality of the proposed DE based algorithm is verified for three and six power generator system test cases. The gained results are compared to existing results based on QP, GAs and PSO. The developed results show that differential evolution is superior in obtaining a combination of power loads that fulfill the problem constraints and minimize the total fuel cost. DE found to be fast in converging to the optimal power generation loads and capable of handling the non-linearity of ELD problem. The proposed DE solution is able to minimize the cost of generated power, minimize the total power loss in the transmission and maximize the reliability of the power provided to the customers.Keywords: economic load dispatch, power systems, optimization, differential evolution
Procedia PDF Downloads 2824920 Seismic Resistant Columns of Buildings against the Differential Settlement of the Foundation
Authors: Romaric Desbrousses, Lan Lin
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The objective of this study is to determine how Canadian seismic design provisions affect the column axial load resistance of moment-resisting frame reinforced concrete buildings subjected to the differential settlement of their foundation. To do so, two four-storey buildings are designed in accordance with the seismic design provisions of the Canadian Concrete Design Standards. One building is located in Toronto, which is situated in a moderate seismic hazard zone in Canada, and the other in Vancouver, which is in Canada’s highest seismic hazard zone. A finite element model of each building is developed using SAP 2000. A 100 mm settlement is assigned to the base of the building’s center column. The axial load resistance of the column is represented by the demand capacity ratio. The analysis results show that settlement-induced tensile axial forces have a particularly detrimental effect on the conventional settling columns of the Toronto buildings which fail at a much smaller settlement that those in the Vancouver buildings. The results also demonstrate that particular care should be taken in the design of columns in short-span buildings.Keywords: Columns, Demand, Foundation differential settlement, Seismic design, Non-linear analysis
Procedia PDF Downloads 1354919 Vibration Analysis of Pendulum in a Viscous Fluid by Analytical Methods
Authors: Arash Jafari, Mehdi Taghaddosi, Azin Parvin
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In this study, a vibrational differential equation governing on swinging single-degree-of-freedom pendulum in a viscous fluid has been investigated. The damping process is characterized according to two different regimes: at first, damping in stationary viscous fluid, in the second, damping in flowing viscous fluid with constant velocity. Our purpose is to enhance the ability of solving the mentioned nonlinear differential equation with a simple and innovative approach. Comparisons are made between new method and Numerical Method (rkf45). The results show that this method is very effective and simple and can be applied for other nonlinear problems.Keywords: oscillating systems, angular frequency and damping ratio, pendulum at fluid, locus of maximum
Procedia PDF Downloads 3374918 Differential Diagnosis of Malaria and Dengue Fever on the Basis of Clinical Findings and Laboratory Investigations
Authors: Aman Ullah Khan, Muhammad Younus, Aqil Ijaz, Muti-Ur-Rehman Khan, Sayyed Aun Muhammad, Asif Idrees, Sanan Raza, Amar Nasir
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Dengue fever and malaria are important vector-borne diseases of public health significance affecting millions of people around the globe. Dengue fever is caused by Dengue virus while malaria is caused by plasmodium protozoan. Generally, the consequences of Malaria are less severe compared to dengue fever. This study was designed to differentiate dengue fever and malaria on the basis of clinical and laboratory findings and to compare the changes in both diseases having different causative agents transmitted by the common vector. A total of 200 patients of dengue viral infection (120 males, 80 females) were included in this prospective descriptive study. The blood samples of the individuals were first screened for malaria by blood smear examination and then the negative samples were tested by anti-dengue IgM strip. The strip positive cases were further screened by IgM capture ELISA and their complete blood count including hemoglobin estimation (Hb), total and differential leukocyte counts (TLC and DLC), erythrocyte sedimentation rate (ESR) and platelet counts were performed. On the basis of the severity of signs and symptoms, dengue virus infected patients were subdivided into dengue fever (DF) and dengue hemorrhagic fever (DHF) comprising 70 and 100 confirmed patients, respectively. On the other hand, 30 patients were found infected with Malaria while overall 120 patients showed thrombocytopenia. The patients of DHF were found to have more leucopenia, raised hemoglobin level and thrombocytopenia < 50,000/µl compared to the patients belonging to DF and malaria. On the basis of the outcomes of the study, it was concluded that patients affected by DF were at a lower risk of undergoing haematological disturbance than suffering from DHF. While, the patients infected by Malaria were found to have no significant change in their blood components.Keywords: dengue fever, blood, serum, malaria, ELISA
Procedia PDF Downloads 3924917 The Effect of Second Victim-Related Distress on Work-Related Outcomes in Tertiary Care, Kelantan, Malaysia
Authors: Ahmad Zulfahmi Mohd Kamaruzaman, Mohd Ismail Ibrahim, Ariffin Marzuki Mokhtar, Maizun Mohd Zain, Saiful Nazri Satiman, Mohd Najib Majdi Yaacob
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Background: Aftermath any patient safety incidents, the involved healthcare providers possibly sustained second victim-related distress (second victim distress and reduced their professional efficacy), with subsequent negative work-related outcomes or vice versa cultivating resilience. This study aimed to investigate the factors affecting negative work-related outcomes and resilience, with the triad of support; colleague, supervisor, and institutional support as the hypothetical mediators. Methods: This was a cross sectional study recruiting a total of 733 healthcare providers from three tertiary care in Kelantan, Malaysia. Three steps of hierarchical linear regression were developed for each outcome; negative work-related outcomes and resilience. Then, four multiple mediator models of support triad were analyzed. Results: Second victim distress, professional efficacy, and the support triad contributed significantly for each regression model. In the pathway of professional efficacy on each negative work-related outcomes and resilience, colleague support partially mediated the relationship. As for second victim distress on negative work related outcomes, colleague and supervisor support were the partial mediator, and on resilience; all support triad also produced a similar effect. Conclusion: Second victim distress, professional efficacy, and the support triad influenced the relationship with the negative work-related outcomes and resilience. Support triad as the mediators ameliorated the effect in between and explained the urgency of having good support for recovery post encountering patient safety incidents.Keywords: second victims, patient safety incidents, hierarchical linear regression, mediation, support
Procedia PDF Downloads 1094916 Outcomes of Live Renal Donors with a History of Nephrolithiasis
Authors: Bin Mohamed Ebrahim, Aminesh Singla, Henry Pleass
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Aim: There is an ongoing gap in renal transplantation between organs available for donation and recipients on the waiting list. Live donors with pre-existing or a history of renal calculi were thought to be a relative contraindication due to safety concerns for donors. We aim to review current literature assessing outcomes of donors who were found to have a history of renal calculi. Methods: Ovid and Embase were searched between 1960 to 2021 using key terms and Medical Subject Headings (MeSH) – nephrolithiasis, renal stones, renal transplantation and renal graft. Articles included conference proceedings and journal articles and were not excluded based on patient numbers. Studies were excluded if the specific organ was not identified, duplicated reports found or if post-transplant outcomes were not recorded. Outcomes were donor’s renal function or renal calculi recurrence postoperatively. Results: Upon reviewing 344 articles, 14 manuscripts met inclusion criteria. A total of 152 live donors were identified as having pre-existing or with a history of renal calculi at pre-operative workup. The mean stone size was 2.6 4mm (1 – 16) with a mean follow-up duration of 31.8 months (1 – 96). Seven studies had both outcomes. None showed renal complications or stone recurrence. The remaining studies contained 2 out of 84 patients having recurrent nephrolithiasis. Conclusion: Data suggests minimal morbidity involved for live renal donors with a history of nephrolithiasis. This should encourage surgeons to continue recruiting such donors for kidney transplantation.Keywords: renal transplantation, renal graft, nephrolithiasis, renal calculi, live donor
Procedia PDF Downloads 1804915 Chebyshev Wavelets and Applications
Authors: Emanuel Guariglia
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In this paper we deal with Chebyshev wavelets. We analyze their properties computing their Fourier transform. Moreover, we discuss the differential properties of Chebyshev wavelets due the connection coefficients. The differential properties of Chebyshev wavelets, expressed by the connection coefficients (also called refinable integrals), are given by finite series in terms of the Kronecker delta. Moreover, we treat the p-order derivative of Chebyshev wavelets and compute its Fourier transform. Finally, we expand the mother wavelet in Taylor series with an application both in fractional calculus and fractal geometry.Keywords: Chebyshev wavelets, Fourier transform, connection coefficients, Taylor series, local fractional derivative, Cantor set
Procedia PDF Downloads 123