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Numerical Treatment for Stochastic Computer Virus Model

Computer Modeling in Engineering & Sciences 2019年第8期120卷 445-465页

作者： Ali Raza Muhammad Shoaib Arif Muhammad Rafiq Mairaj Bibi Muhammad Naveed Muhammad Usman Iqbal Zubair Butt Hafiza Anum Naseem Javeria Nawaz Abbasi Department of Mathematics Stochastic Analysis&Optimization Research GroupAir UniversityPAF Complex E-9IslamabadPakistan Faculty of Engineering University of Central Punjab LahorePakistan Department of Mathematics Comsats UniversityPark Road Chak Shahzad CampusIslamabadPakistan Faculty of Computing National College of Business Administration and Economics LahorePakistan

This writing is an attempt to explain a reliable numerical treatment for stochastic computer virus *** are comparing the solutions of stochastic and deterministic computer virus *** paper reveals that a stochastic computer virus paradigm is pragmatic in contrast to the deterministic computer virus *** of threshold number C^?hold in stochastic computer virus *** C^?1 shows virus persists in the computer ***,stochastic numerical methods fail to cope with large step sizes of *** suggested structure of the stochastic non-standard finite difference scheme(SNSFD)maintains all diverse characteristics such as dynamical consistency,boundedness and positivity as defined by *** numerical treatment for the stochastic computer virus model manifested that increasing the antivirus ability ultimates small virus dominance in a computer community.

关键词： Computer virus,euler maruyama scheme stochastic differential equations stochastic euler scheme stochastic runge-kutta scheme stochastic NSFD scheme stability

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Clinical significance of lymphadenectomy in patients with gastric cancer

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World Journal of Gastrointestinal Oncology 2016年第2期8卷 136-146页

作者： dezso tóth jános plósz miklós torok department of general surgery kenézy teaching hospital4043 DebrecenHungary department of internal medicine kenézy teaching hospital4043 Debrecen Hungary department of pathology kenézy teaching hospital4043 Debrecen Hungary

Approximately thirty percent of patients with gastric cancer undergo an avoidable lymph node dissection with a higher rate of postoperative complication. Comparing the D1 and D2 dissections,it was found that there is a significant difference in morbidity,favoured D1 dissection without any difference in overall survival. Subgroup analysis of patients with T3 tumor shows a survival difference favoring D2 lymphadenectomy,and there is a better gastric cancer-related death and non-statistically significant improvement of survival for node-positive disease in patients with D2 dissection. However,the extended lymphadenectomy could improve stage-specific survival owing to the stage migration phenomenon. The deployment of centralization and application of national guidelines could improve the surgical outcomes. The Japanese and European guidelines enclose the D2 lymphadenectomy as the gold standard in R0 resection. In the individualized,stageadapted gastric cancer surgery the maruyama computer program(MCP) can estimate lymph node involvement preoperatively with high accuracy and in addition the maruyama Index less than 5 has a better impact on survival,than D-level guided surgery. For these reasons,the preoperative application of MCP is recommended routinely,with an aim to perform "low maruyama Index surgery". The sentinel lymph node biopsy(SNB) may decrease the number of redundant lymphadenectomy intraoperatively with a high detection rate(93.7%) and an accuracy of 92%. More accurate stage-adapted surgery could be performed using the MCP and SNB in parallel fashion in gastric cancer.

关键词： Gastric cancer Surgery Lymphadenectomy Sentinel node biopsy maruyama computer program

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