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Aggravation of Cancer,Heart Diseases and Diabetes Subsequent to COVID-19 Lockdown via Mathematical Modeling

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Computer Modeling in Engineering & Sciences 2024年第7期140卷 485-512页

作者： Fatma Nese Efil Sania Qureshi Nezihal Gokbulut Kamyar Hosseini evren Hincal Amanullah Soomro Near East University Department of MathematicsNicosia99010North Cyprus Mehran University of Engineering and Technology Department of Basic Sciences and Related StudiesJamshoro76090Pakistan Department of Computer Science and Mathematics Lebanese American UniversityP.O.Box 13-5053BeirutLebanon Near East University Mathematics Research CenterNicosia99010North Cyprus

The global populationhas beenandwill continue to be severely impacted by theCOVID-19 *** primary objective of this research is to demonstrate the future impact of COVID-19 on those who suffer from other fatal conditions such as cancer,heart disease,and ***,using ordinary differential equations(ODEs),two mathematical models are developed to explain the association between COVID-19 and cancer and between COVID-19 and diabetes and heart *** that,we highlight the stability assessments that can be applied to these *** analysis is used to examine how changes in certain factors impact different aspects of *** sensitivity analysis showed that many people are still nervous about seeing a doctor due to COVID-19,which could result in a dramatic increase in the diagnosis of various ailments in the years to *** correlation between diabetes and cardiovascular illness is also illustrated *** effects of smoking and obesity are also found to be significant in disease *** fitting is also provided for interpreting the relationship between real data and the results of *** people,in particular,need tomonitor their health conditions closely and practice heart health *** with heart diseases should undergo regular checks so that they can protect themselves from diabetes and take some precautions including suitable *** main purpose of this study is to emphasize the importance of regular checks,to warn people about the effects of COVID-19(including avoiding healthcare centers and doctors because of the spread of infectious diseases)and to indicate the importance of family history of cancer,heart diseases and *** provision of the recommendations requires an increase in public consciousness.

关键词： COVID-19 mathematical modeling cancer diabetes heart diseases sensitivity analysis

ON THE m^(th) ORDER DIFFERENCE SEQUENCE SPACE OF GENERALIZED WEIGHTED MEAN AND COMPACT OPERATORS

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Acta Mathematica Scientia 2013年第3期33卷 797-813页

作者： Metin BASARIR Emrah evren KARA Department of Mathematics Sakarya University Department of Mathematics Bilecik Seyh Edebali University

In this article, using generalized weighted mean and difference matrix of order m, we introduce the paranormed sequence space l（u, v, p; △（m））, which consist of the sequences whose generalized weighted △（m）-difference means are in the linear space l（p） defined by ***. Also, we determine the basis of this space and compute its α-, β- and γ-duals. Further, we give the characterization of the classes of matrix mappings from l（u, v, p, △（m）） to l∞, c, and co. Finally, we apply the Hausdorff measure of noncompacness to characterize some classes of compact operators given by matrices on the space lp（U, v, △（m））（1 ≤ p 〈 ∞）.

关键词： Paranormed sequence spaces difference sequence spaces weighted mean α-,β, γ-duals, matrix mappings Hausdorff measure of noncompactness compactoperators

Dynamical Model to Optimize Student’s Academic Performance

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Computer Modeling in Engineering & Sciences 2022年第8期132卷 393-411页

作者： evren Hincal Amna Hashim Alzadjali Department of Mathematics Near East UniversityMersin10 KKTCCyprus

Excellent student’s academic performance is the uppermost priority and goal of educators and *** dubious marginal rate between admission and graduation rates unveils the rates of dropout and withdrawal from *** improve the academic performance of students,we optimize the performance indices to the dynamics describing the academic performance in the form of nonlinear system *** established the uniform boundedness of the model and the existence and uniqueness *** independence and interdependence equilibria were found to be locally and globally asymptotically *** optimal control analysis was carried out,and lastly,numerical simulation was run to visualize the impact of the performance index in optimizing academic performance.

关键词： Academic performance optimal control uniform boundedness Pontryagin Maximum Principle(PMP) existence and uniqueness stability

Performance of fluoride and boron compounds against drywood and subterranean termites and decay and mold fungi

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Journal of Forestry Research 2020年第4期31卷 1425-1434页

作者： S.Nami Kartal evren Terzi Tsuyoshi Yoshimura Faculty of Forestry Istanbul University-Cerrahpa?a

Sodium fluoride（NaF） and disodium octaborate tetrahydrate（DOT） are well-known fungicides for preventing and remediating decay in wood and wood structures,due to their excellent diffusion properties in *** efficacy of both compounds against drywood termites is,however,inadequately studied;there is a lack of information on the development of proper protection and control methods against drywood termites using these diffusible *** this study,the threshold values of fluoride and boron against drywood and subterranean termites and decay and mold fungi were assessed in laboratory *** Cryptomeria japonica ***（sugi） sapwood specimens with four different concentrations of NaF and DOT applied by either dipping or vacuum processes were subjected to attack by drywood termites,Incisitermes minor（Hagen） for 6 *** specimens were also tested against subterranean termites,Coptotermes formosanus Shiraki for 3 *** decay and mold resistance tests were then performed to determine the efficacy of the compounds against fungal *** showed 80% or greater drywood termite mortality in wood specimens treated with NaF at a retention level of1.7 kg m;or *** DOT treated groups,higher retention levels(greater than 6.8 kg m;) were needed to reach up to 80% or more termite *** general,weight losses in NaF-treated specimens were slightly lower than those in DOT-treated *** levels of around1.2 kg m;for NaF and 1.6 kg m;for DOT were high enough to reach the JIS K 1571 threshold requirement of weight loss less than 3% in subterranean termite resistance *** higher termite mortality values were seen in the DOT than NaF treatments at respective retention *** decay resistance tests,no weight losses were seen at a NaF retention level of 2.3 kg m;;however,a retention level of nearly 4 kg m;for DOT was needed for complete protection against both test *** most cases,lower weight losses were obtained in

关键词： NaF DOT Remedial treatments Termites Fungi

Surface Pencil with a Common Line of Curvature in Minkowski 3-Space

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Acta Mathematica Sinica,English Series 2014年第12期30卷 2103-2118页

作者： evren ERGN Ergin BAYRAM Emin KASAP Ondokuz Mayis University arsamba Chamber of Commerce Vocational School Ondokuz Mayis University Faculty of Arts and SciencesMathematics Department

In this paper, we analyze the problem of constructing a surface pencil from a given spacelie （timelike） line of curvature. Using the Frenet frame of the given line of curvature in Minkowski 3-space, we express the surface pencil as a linear combination of this frame and derive the necessary and sufficient conditions for the coefficients to satisfy the line of curvature requirement. We illustrate this method by presenting some examples.

关键词： Minkowski space line of curvature surface pencil

Reducing the Range of Cancer Risk on BI-RADS 4 Subcategories via Mathematical Modelling

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Computer Modeling in Engineering & Sciences 2022年第10期133卷 93-109页

作者： Nezihal Gokbulut evren Hincal Hasan Besim Bilgen Kaymakamzade Near East University Faculty of Arts and SciencesNicosia99138North Cyprus Near East University Mathematics Research CenterNicosia99138North Cyprus Near East University Faculty of MedicineNicosia99138North Cyprus

Breast Imaging Reporting and Data System,also known as BI-RADS is a universal system used by radiologists and *** constructs a comprehensive language for the diagnosis of breast ***-RADS 4 category has a wide range of cancer risk since it is divided into 3 *** play an important role in the diagnosis and treatment of *** this study,data of 42 BI-RADS 4 patients taken fromthe Center for Breast Health,Near East University Hospital is *** the analysis,a mathematical model is constructed by dividing the population into 4 *** analysis is applied to the parameters with the desired outcome of a reduced range of cancer *** simulations of the parameters are *** results of the model have revealed that an increase in the lactation rate and earlymenopause have a negative correlation with the chance of being diagnosed with BI-RADS 4 whereas a positive correlation increase in age,the palpable mass,and family history is ***,the negative effects of smoking and late menopause on BI-RADS 4C diagnosis are vehemently ***,the model showed that the percentages of parameters play an important role in the diagnosis of BI-RADS 4 *** things considered,with the assistance of the most effective parameters,the range of cancer risks in BI-RADS 4 subcategories will decrease.

关键词： Mathematical model breast cancer BI-RADS 4 sensitivity analysis reducing cancer risk suspicious malignancy ordinary differential equations

Movement of boron from ulexite and colemanite minerals in sapwood and heartwood of Cryptomeria japonica

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Journal of Forestry Research 2020年第6期31卷 2597-2603页

作者： Saip Nami Kartal evren Terzi Aysel Kanturk Figen Tsuyoshi Yoshimura Department of Forest Biology and Wood Protection Technology Faculty of Forestry Istanbul University-Cerrahpaşa34473 BahcekoyIstanbulTurkey Department of Chemical Engineering Faculty of Chemistry-MetallurgicalYıldız Technical UniversityDavutpasa Esenler34210 IstanbulTurkey Laboratory of Innovative Humano-Habitability Research Institute for Sustainable Humanosphere(RISH)Kyoto UniversityUjiKyoto 611-0011Japan

This study evaluated boron diff usion from raw boron minerals ulexite and colemanite with low water solubility in comparison to disodium octaborate tetrahydrate(DOT).Tests were conducted using sugi(Cryptomeria japonica(L.)***)sapwood and heartwood blocks conditioned to 30,60,and 90%target moisture *** blocks were fi lled with the boron compounds through treatment holes and diff usion was observed at three assay zones across the blocks after 7,30,60 or 90-day incubation period at room *** comparison,ethylene glycol was also introduced into the holes to elevate boron diff *** expected,diff usion increased with increased moisture content and levels were higher at the 60%and 90%moisture levels compared to the 30%*** some exceptions,boron levels did not follow consistent gradients with distance away from the treatment *** of ethylene glycol helped increase boron levels,even in heartwood *** levels were higher from the ulexite source than from colemanite;however,DOT treatments resulted in the highest boron diff usion rates as a result of greater water solubility compared to both raw boron *** results suggest that ulexite together with ethylene glycol may be useful in both sapwood and heartwood materials when kept at high moisture levels for extended periods.

关键词： Boron Remedial Ulexite Colemanite DOT Distribution Sapwood Heartwood

Current update on nanoplatforms as therapeutic and diagnostic tools:A review for the materials used as nanotheranostics and imaging modalities

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Asian Journal of Pharmaceutical Sciences 2021年第1期16卷 24-46页

作者： Panoraia I.Siafaka Neslihan Ustundag Okur Ioannis D.Karantas Mehmet evren Okur evren Atlihan Gundogdu Department of Chemistry Aristotle University of ThessalonikiThessalonikiGreece Faculty of Pharmacy Department of Pharmaceutical TechnologyUniversity of Health SciencesIstanbulTurkey 2nd Clinic of Internal Medicine Hippokration General HospitalThessalonikiGreece Faculty of Pharmacy Department of PharmacologyUniversity of Health SciencesIstanbulTurkey Faculty of Pharmacy Department of RadiopharmacyEge UniversityIzmir 35100Turkey

In the last decade,the use of nanotheranostics as emerging diagnostic and therapeutic tools for various diseases,especially cancer,is held great *** to date,several approaches have been employed in order to develop smart nanotheranostics,which combine bioactive targeting on specific tissues as well as diagnostic *** nanotheranostics can deliver therapeutic agents by concomitantly monitor the therapy response in ***,the possibility of over-or under-dosing is *** non-invasive imaging techniques have been used to quantitatively monitor the drug delivery *** of nanomaterials is widely used as powerful diagnostic approach on nuclear medicine *** fact,various radiolabeled nanomaterials have been designed and developed for imaging tumors and other lesions due to their efficient *** nanoparticles as gold,silver,silica based nanomaterials or organic nanoparticles as polymers,carbon based nanomaterials,liposomes have been reported asmultifunctional *** this review,the imaging modalities according to their use in various diseases are summarized,providing special details for *** further,the most current nanotheranostics categorized via the used nanomaterials are also summed *** conclude,this review can be beneficial for medical and pharmaceutical society as well as material scientists who work in the field of nanotheranostics since they can use this research as guide for producing newer and more efficient nanotheranostics.

关键词： Theranostics Nanomedicine Nanotechnology Nanoparticles Radiopharmaceuticals

Sensitivity Analysis of COVID-19 in Mediterranean Island

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Computer Modeling in Engineering & Sciences 2022年第1期130卷 133-148页

作者： Ahmet Savasan Bilgen Kaymakamzade Nezihal Gokbulut evren Hincal Elcin Yoldascan Near East University Faculty of Arts and SciencesNicosia99138North Cyprus Near East University Mathematics Research CenterNicosia99138North Cyprus Cyprus International University Faculty of MedicineNicosia99138North Cyprus

The aim of this study is to examine the progress of the worldwide pandemic *** authors,we have decided to analyze the situation of COVID-19 onMediterranean islandwith accurate *** this purpose,amathematical model is constructed and proposed by dividing the whole population into sensible and suitable *** study captures the dates February 01 till May 15,*** the control of the spread of disease,vaccination and infection rates are compared and *** calculations and comparison,MatLab software is *** of the data that are used are taken from the Ministry of *** effect of parameters is examined with sensitivity ***,with this analysis,values of parameters are ***,by using the constructed model,the effect of vaccine on infected individuals is analyzed *** a result,it is concluded that the studied part of the island is late for the control of the disease via *** can be explained by two main reasons;vaccinating the people that are not inmobilitymost of the time(aged people and people with chronic diseases)and getting the vaccine ***,the results showed that this rate and distribution of vaccines would not be enough to control the pandemic on the island.

关键词： COVID-19 vaccination mathematical model basic reproduction number island sensitivity analysis