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Stability Analysis of Some Systems of Rational Difference Equations

Thesis Info

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Author

Khan, Abdul Qadeer

Program

PhD

Institute

University of Azad Jammu & Kashmir

City

Muzaffarabad

Province

KPK

Country

Pakistan

Thesis Completing Year

2017

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/7416/1/Final%20Thesis%20%28A.%20Q.%20Khan%29.pdf

Added

2021-02-17 19:49:13

Modified

2023-01-06 19:20:37

ARI ID

1676727229119

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سر رابرٹ ہڈسن

سرہڈسن کی وفات
گزشتہ دسمبر کا ایک اہم معاشرتی حادثہ سر رابرٹ ارنڈیل ہڈسن کی وفات ہے، سر ہڈسن انجمن صلیب احمر انگلستان کے صدر تھے اور انھوں نے انجمن کی ترقی و توسیع میں بہت کچھ حصہ لیا تھا اور اپنی بااثر شخصیت کی بناء پر اس انجمن کے لیے ایک کروڑ نوے لاکھ پونڈ جمع کئے تھے۔
کیا ہندوستان کی تمام انجمنوں کی متحدہ آمدنی بھی کبھی اس کے برابر ہوگی جس غریب ملک میں صحیح و تندرست لوگ بھوکے مرتے ہوں وہاں مریضوں کو کون پوچھتا ہے۔
(نجیب اشرف ندوی، مارچ ۱۹۲۸ء)

 

Comparative Analysis of AC and DC Distribution System with Respect to Harmonic Distortion Considering Daily Load Profile

Electrical energy is the most efficient and the cleanest form of energy at the moment that is being transmitted and distributed amongst end-users. From its earlier days, the AC system was preferred as an economical solution for transmission and distribution. However, the development in the power electronics technology and the evolution of highly efficient power electronic converters have established the resurgence of DC power system. Furthermore, the trend is shifting towards DC loads as various energy efficient appliances, such as DC inverter air conditioners, operate on DC nowadays. This further advocates the shift towards the DC power system. This research works is an effort to perform the comparative analysis of AC Distribution System (ACDS) and DC Distribution System (DCDS), with regards to power quality and harmonic distortion in particular. The comparison is performed considering load profile and load variation on daily basis. Simulations are performed in MATLAB. It has been concluded at the end that ACDS is better than DCDS in terms of power quality as total harmonic distortion of the DCDS under the same loading and same load variation during the whole day was significantly higher than that of ACDS.

Expression Patterns of Β–Catenin, Cox-2 and P27 in Colorectal Carcinomas at Aga Khan University Hospital, Nairobi

Introduction: Colorectal cancer is the third most common cancer worldwide, as indicated by WHO. Local published and unpublished data indicate that patients in the developing world with colorectal cancer tend to present at an early age, and possibly at a more advanced stage than described in the developed world. The reason for this difference is unclear, and as yet undefined. The Wnt/APC pathway, Microsatellite instability pathway and the Epigenetic pathway are three pathogenetically distinct pathways that have been implicated in the development of colorectal cancer. Exploration of these patterns may allow us to elucidate possible reasons for these differences. Objectives: The aim of this study was to investigate the expression patterns of three molecules, β-catenin, p27 and COX-2, which represent various points of interaction along the Wnt/APC pathway, in colorectal cancers diagnosed at the Department of Pathology,Aga KhanUniversityHospital,Nairobi, and to correlate the findings with clinical, demographic and pathological characteristics of the study subjects. Methods: Tissue blocks of 100 consecutive colorectal cancer resection specimens received during the period March 2006 to Dec 2009, were retrieved from the archives at the Department of Pathology. Haematoxylin and Eosin slides were prepared and reviewed for purposes of confirmation, typing, grading and staging of the colon cancer. Immunohistochemical expression for β-catenin, p27 and COX-2, was assessed and scored. Findings were correlated with relevant demographic, pathologic and clinical data. Data Management and analysis: Data were recorded using a data sheet and then entered into an MS Excel spreadsheet. Statistical analysis was done using SPSS version 15.0 (SPSS Inc, Chicago) and STATA version 10.0 (Stata Inc,Texas). Chi square test (or Fisher’s exact test when number was <5) was performed to determine the association between categorical variables. Results:β-catenin aberrant expression was found in 75% of tumours. 93% of cases showed moderate to strong nuclear p27 expression and 78% of cases demonstrated moderate to strong COX-2 overexpression. β-catenin expression patterns were associated with tumour location, and COX-2 overexpression with tumour histological subtype. Conclusion: The aberrant expression of β-catenin corresponds with the overexpression of COX-2, supporting their postulated relationship in the Chromosomal instability pathway. The Wnt/APC pathway still appears to be the most common pathway, despite our younger population. The utility of p27 still requires further evaluation and validation, due to conflicting results.