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(SI13-09) Numerical Methods for Solving Nonlinear Fisher Equation using Backward Differentiation Formula
Get PDFThis paper examines the numerical solution of the nonlinear Fisher equation that is used to find the growth of tumour cells in the brain. By employing new methods that transform nonlinear partial differential equations (PDE) into nonlinear ordinary differential equations (ODE) through spatial discretization. The stability of the resulting nonlinear system is evaluated using Lyapunov’s criteria. Implicit stiff solvers, including various orders of backward differentiation formulas, are used to address the ODE system. The efficiency of these numerical methods is demonstrated through two examples, and a comparison with existing methods from the literature is conducted. Compared to traditional methods, the proposed numerical techniques are distinguished by their simplicity, precision, and remarkable efficiency
On Constructions of Maximum Distance Separable Pascal-Like Rhotrices over Finite Fields
Get PDFCryptography and coding theory are the important areas where Maximum Distance Separable (MDS) matrices are used extensively. The Pascal matrix plays vital role in combinatorics, matrix theory and its properties provide interesting combinatorial identities. Pascal matrices also have a wide range of applications in cryptography. In this paper, we define Pascal-like rhotrix, and further, we construct MDS Pascal-like rhotrices over finite fields
Highly efficient visible-light induced N-doped ZnO@g-C3N4 and S-doped ZnO@g-C3N4 photocatalysts for environmental remediation
No full textFacile, cost-effective and eco-friendly synthesis of N-doped ZnO@g-C3N4 and S-doped ZnO@g-C3N4 photocatalysts towards efficient degradation of environmental pollutants was achieved. The as-synthesized 2 wt% N-doped ZnO@g-C3N4 and 2 wt% S-doped ZnO@g-C3N4 achieved 96.2% and 90.4% degradation efficiencies towards crystal violet (100 ppm) within 45 min irradiation and 99.3% and 92.3% photocatalytic degradation efficiencies towards brilliant green (100 ppm) dye within 30 min irradiation, respectively, under a normal 90 W LED light instead of an expensive commercial light source. Moreover, the N-doped ZnO@g-C3N4 and S-doped ZnO@g-C3N4 nanocomposites showed excellent stability in the photodegradation of crystal violet and brilliant green dyes. The modification made on ZnO by doping with nitrogen and sulphur enhances the visible-light absorption as well as the separation of photoexcited charge carriers. The active radicals ˙OH and ˙O2− are both identified to play important roles in the photodegradation of crystal violet and brilliant green
Exploring The Experiences Of African American Middle School Stem Teachers
Get PDFAs society is continuously in a space of changing politics and social structure, the educational landscape continues to be plagued by several inconvenient truths for African American educators. One truth is the lack of representation of African American teachers in science, technology, engineering, and math (STEM) areas. In a 2016 USDE report titled The State of Racial Diversity in the Educator, the report indicated that in the 2011-2012 school year, White educators made up 82% of the teachers in the nation.
Teachers often bring their life experiences, cultures and ideologies into their classrooms and campuses painting them with their assumptions of how they define good educators. Most importantly, teachers bring their racial identity to the workplace. The intent of this study was to focus on the intersectionality between race and professional identity to give voice to the experiences of African Americans and how they influence their identity as STEM educators. This study chose to focus on racial identity influenced STEM teacher performance in the middle school classroom.
This qualitative multisite case study explored two middle school campuses and interviewed teachers from both campuses. Case study, in tandem with narrative inquiry, served as my theoretical approach for this exploration. Case study was used to compare and potentially replicate the findings to draw cross-case conclusions from the information collected (Yin, 2017). Based on the findings, I concluded that educators must understand the various multidimensional components of their identity like race, social categories, personal traits and values, and life experiences, that influence their success as middle school STEM teachers. Within the findings it was made clear by each participant that race in correlation to their role as STEM teachers was the leading identity factor which led to their success.
Keywords: teacher identity, critical race theory and teacher identity, ecological systems, teacher identity and STEM, intersectionalit
(R2085) Heat and Mass Transport Characteristics in Williamson Fluid Flow over a Permeable Stretching Cylinder
Get PDFThe intention of this research endeavor is to examine heat and mass transport in Williamson fluid flow induced by a permeable stretching cylinder in a porous medium. Various physical factors (like viscous dissipation, chemical reaction, etc.) affecting the relevant fields (flow, temperature and concentration) are incorporated in the investigation. The governing PDEs are turned into nondimensional ODEs using adequate similarity transformation relations, and then tackled numerically using MATLAB based Bvp4c technique along with shooting method. The impacts of various parameters arising in the problem are exhibited on fluid flow, temperature and concentration distribution by drawing portraits and discussed. Moreover, impressions of various regulating parameters on the quantities significant in engineering field (coefficient of skin friction, Nusselt number, etc.) are discussed by graphical representations. It is concluded that the pace of flow improves with increasing curvature parameter, but opposite trend is observed due slip and surface melting. The effects of viscous dissipation, temperature jump, and curvature parameters are noticed to heighten temperature profile, while scenario reverses due to melting. Further, order of the reaction exhibits effect opposite to that due reaction coefficient and Schmidt number on concentration profile. For validation of results obtained Nusselt number values compared with earlier published results, an excellent agreement achieved
(R2095) On Discrete Hypoexponential Distribution and Integer-valued Autoregressive Process
Get PDFDiscrete distributions provide a substantive contribution in modeling real world frame work. Though a lot of discrete distributions are available in literature, they are inappropriate to model many practical situations. The conventional discrete distributions like geometric, Negative Binomial and Poisson have limited applications in modeling count and lifetime data. This paper introduces a new two parameter discrete distribution namely, discrete hypoexponential distribution by discretizing the well known hypoexponential distribution. Various distributional and structural properties of the proposed distribution are studied. We introduce a first order auto regressive process with the newly proposed distribution as marginal and study the properties. Depending on the various parametric values, the distribution can model, over and under dispersed data. We estimate the parameters of the distribution using non linear maximization (nlm) method. To illustrate the credibility of the proposed model a real data analysis is also performed
Increasing Colorectal Screening Rates Within A Home-Based Primary Care Setting: A Quality Improvement Project
No full textColorectal cancer (CRC) is the third most commonly diagnosed cancer, following breast and lung cancer, with a global estimate of 1.8 million new cases. Problem Statement: The project setting\u27s Healthcare Effectiveness Data and Information Set score for CRC is consistently low, leading to millions of dollars in Medicare reimbursement. Aim: This project aims to increase CRC screening rates at the site within three months. PICO(T) Question: Among providers employed at a home-based primary care setting (P), will CRC screening, a train-the-trainer session, and a weekly phone call reminder to patients (I) improve CRC screening rates (O) compared with current pre-intervention CRC screening rates (C) among patients aged 50 to 75 years within three months (T)? Methodology: Providers attended a CRC training session, and patients received education materials and a fecal immunochemical test kit, followed by phone call reminders.
Research Design: Pre-intervention and post-intervention project design. Data Analysis: The project used descriptive statistics and McNemar\u27s Chi-square test for data analysis. Findings: The intervention result was statistically significant. Conclusion: Provider education, patient education material, and phone call reminders effectively increase CRC screening in home-bound populations.
Keywords: colorectal cancer screening, home-based screening, PDSA model, patient reminder, patient educational intervention, patient navigatio
Advanced-Practice Registered Nurse (APRN) Delegation Practices In Primary Care Clinics In Texas: An Evidence-Based Project
No full textPrimary care practices utilize advanced-practice registered nurses (APRNs) to deliver high-quality, cost-effective care and address the growing patient demand. Unlicensed assistive personnel (UAP) are low-cost additions to primary care teams. APRNs are leaders and delegate many tasks to UAPs in busy primary care clinics. Delegation is an essential, complex nursing skill that APRNs use to improve workflows. The Texas Board of Nursing (BON) governs the Practice of all nurses, and APRNs must know and understand the established rules and standards to delegate efficiently and effectively.
This Doctor of Nursing Practice project aimed to identify APRNs’ knowledge and Practice of medication administration delegation to UAP according to a rule stipulated by the Texas BON. A three-component survey was developed in Qualtrics to assess APRNs’ practices, knowledge of the delegation rule, and demographic information. Permission was obtained to place a survey link on the Facebook page of the North Harris Montgomery Advanced Practice Nurse Society to invite APRNs who were members of the society to participate. The collected data were downloaded in an Excel file from Qualtrics and analyzed using the Intellectus program. The results were presented in tables as frequencies and percentages.
Of the 33 respondents, approximately 33% answered that a physician was always present in their clinic, and 33% said they consistently delegate medication to UAP. Forty-eight percent of the respondents answered that APRNs could delegate medications to the medical assistants, which is incorrect according to the Texas BON, and approximately 73% incorrectly answered that the physician does not have to be present in the clinic when APRNs delegate medication administration to UAP. The study’s outcome, though limited by sample size, indicates a need to improve the APRNs’ Practice by improving their knowledge of the delegation rule established by Texas BON. Further studies with larger sample sizes are essential to establish the need for changes to the initial APRN education and develop a framework for APRN staff development that includes knowledge of the delegation rule to support a change in Practice
