Ege \u00dcniversitesi Fen Fak\u00fcltesi\u00a0<\/b>Matematik B\u00f6l\u00fcm\u00fc \u00f6\u011fretim \u00fcyesi Do\u00e7. Dr. Feyza Esra Erdo\u011fan\u2019\u0131n y\u00fcr\u00fct\u00fcc\u00fcl\u00fc\u011f\u00fcn\u00fc yapt\u0131\u011f\u0131, \u201cCovid 19 gibi salg\u0131n hastal\u0131klar\u0131n modellemesinde kullan\u0131lacak olan meta-metalik yar\u0131 Riemann manifoldlar\u0131n alt manifoldlar\u0131\u201d ba\u015fl\u0131kl\u0131 proje T\u00dcB\u0130TAK taraf\u0131ndan desteklenmeye uygun bulundu. Proje kapsam\u0131nda, \u00a0Covid-19 gibi salg\u0131n hastal\u0131klar\u0131n modellenmesine y\u00f6nelik geometrik \u00e7al\u0131\u015fmalar ger\u00e7ekle\u015ftirilecek.<\/p>\n
Ege \u00dcniversitesi Rekt\u00f6r\u00fc Prof. Dr. Necdet Budak, proje ekibini makam\u0131nda a\u011f\u0131rlayarak tebrik etti. Prof. Dr. Budak, \u201cEge \u00dcniversitesi olarak, en \u00e7ok proje \u00fcreten ve projesi T\u00dcB\u0130TAK taraf\u0131ndan en \u00e7ok kabul edilen \u00fcniversiteler aras\u0131nda zirvede yer al\u0131yoruz. Do\u00e7. Dr. Feyza Esra Erdo\u011fan hocam\u0131z ve ekibinin\u00a0 salg\u0131n hastal\u0131klara y\u00f6nelik geli\u015ftirdikleri proje T\u00dcB\u0130TAK taraf\u0131ndan desteklendi. Hocam\u0131z\u0131 ve ekibini tebrik ediyor, \u00e7al\u0131\u015fmalar\u0131nda ba\u015far\u0131lar diliyorum\u201d dedi.<\/p>\n
Do\u00e7. Dr. Feyza Esra Erdo\u011fan\u2019\u0131n y\u00fcr\u00fct\u00fcc\u00fcl\u00fc\u011f\u00fcn\u00fc yapt\u0131\u011f\u0131 proje E\u00dc Fen Fak\u00fcltesi Ar\u015f. G\u00f6r. Dr. \u015eerife Nur Bozda\u011f\u2019\u0131n ve Ad\u0131yaman \u00dcniversitesinden Prof. Dr. Selcen Y\u00fcksel Perkta\u015f’\u0131n ara\u015ft\u0131rmac\u0131 olarak yer al\u0131yor.<\/p>\n
Literat\u00fcre katk\u0131 sa\u011flayacak<\/b><\/p>\n
Proje hakk\u0131nda bilgi veren Do\u00e7. Dr. Erdo\u011fan, \u201cMetalik manifold esasen belirli ko\u015fullar\u0131 kar\u015f\u0131layan fazladan tens\u00f6r alan\u0131na sahip bir Riemann metrik manifold olarak g\u00f6z \u00f6n\u00fcne al\u0131nabilir. Riemann metrik manifoldlar\u0131n\u0131n \u00f6nemli uygulamalar\u0131 vard\u0131r. Bu uygulamalardan biri de Covid-19 salg\u0131n\u0131n\u0131n modellenmesi ile ilgilidir. Bu alanda \u00e7al\u0131\u015fan Bekiros\u00a0 ve Kouloumpou gibi ara\u015ft\u0131rmac\u0131lar Covid-19 ve benzeri salg\u0131nlar\u0131 modelleyen \u2018SBDIEM\u2019 ad\u0131n\u0131 verdikleri bir yakla\u015f\u0131m geli\u015ftirmi\u015flerdir. Bu modelin matematiksel yap\u0131s\u0131, Riemann manifolduna, manifold \u00fczerindeki Brownian hareketine ve Brownian hareketin Stokastik diferansiyel denklemine dayanmaktad\u0131r. Buradan Riemann manifoldunun mevcut problemler i\u00e7in model olarak kullan\u0131labilecek geometrik bir yap\u0131 oldu\u011fu g\u00f6r\u00fclebilir.\u00a0Bu projede metalik manifoldlardan daha g\u00fc\u00e7l\u00fc ve kesin sonu\u00e7lar\u0131n elde edilebilece\u011fi bir yap\u0131 yard\u0131m\u0131 ile yeni bir manifold t\u00fcr\u00fc tan\u0131mlayarak yukar\u0131da sayd\u0131\u011f\u0131m\u0131z \u00e7al\u0131\u015fma alanlar\u0131nda kullan\u0131lmak \u00fczere literat\u00fcre katk\u0131 sa\u011flayaca\u011f\u0131z\u201d dedi.<\/p>\n
Do\u00e7. Dr. Erdo\u011fan, \u201cMetalik manifoldlar\u0131 ve ilk kez ortaya koyaca\u011f\u0131m\u0131z meta-metalik-Chi oran\u0131n\u0131 birle\u015ftirerek, yeni bir manifold s\u0131n\u0131f\u0131 tan\u0131mlayaca\u011f\u0131z.\u00a0 Yar\u0131-Riemann manifoldlar, Riemann manifoldlar\u0131da i\u00e7ine alan ancak\u00a0metri\u011fin pozitif tan\u0131ml\u0131 olmamas\u0131n\u0131n getirdi\u011fi durumdan kaynakl\u0131 daha zengin bir geometriye ve uygulama alan\u0131na sahip manifoldlard\u0131r. \u00d6ncelikle Riemann manifoldlarda tan\u0131mlayaca\u011f\u0131m\u0131z bu yeni manifold t\u00fcr\u00fcn\u00fc, yar\u0131-Riemann manifoldlara ta\u015f\u0131yarak, yapaca\u011f\u0131m\u0131z \u00e7al\u0131\u015fmay\u0131 fen ve m\u00fchendislik bilimlerinde daha kesin sonu\u00e7lar\u0131n elde edilebilece\u011fi problemlerin \u00e7\u00f6z\u00fclmesine olanak sa\u011flam\u0131\u015f olaca\u011f\u0131z\u201d dedi.<\/p>\n
Projenin amac\u0131ndan bahseden Do\u00e7. Dr. Erdo\u011fan, \u201cBu proje kapsam\u0131nda \u00f6ncelikli amac\u0131m\u0131z Covid-19 ve benzeri salg\u0131n hastal\u0131klar\u0131n modellenmesinde \u00fczerinde \u00e7al\u0131\u015f\u0131ld\u0131\u011f\u0131nda daha tutarl\u0131 sonu\u00e7lar\u0131n elde edilebilece\u011fi yeni bir manifold kavram\u0131 ortaya koymakt\u0131r. \u00dczerinde ya\u015fad\u0131\u011f\u0131m\u0131z d\u00fcnyay\u0131 bir manifold olarak d\u00fc\u015f\u00fcnd\u00fc\u011f\u00fcm\u00fczde bu manifold \u00fczerinde meta metalik yap\u0131y\u0131 kullanarak yapaca\u011f\u0131m\u0131z modellemeyi salg\u0131n hastal\u0131klar\u0131n yay\u0131l\u0131m h\u0131z\u0131n\u0131 ve seyrini incelemede kullanabilece\u011fiz\u201d diye konu\u015ftu.<\/p>\n","protected":false},"excerpt":{"rendered":"
Ege \u00dcniversitesi Fen Fak\u00fcltesi\u00a0Matematik B\u00f6l\u00fcm\u00fc \u00f6\u011fretim \u00fcyesi Do\u00e7. Dr. Feyza Esra Erdo\u011fan\u2019\u0131n y\u00fcr\u00fct\u00fcc\u00fcl\u00fc\u011f\u00fcn\u00fc yapt\u0131\u011f\u0131, \u201cCovid…<\/p>\n","protected":false},"author":2,"featured_media":16490,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[69,99,1,70,68],"tags":[],"class_list":["post-16489","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-bilim","category-egitim","category-gncl","category-kampus","category-saglik"],"featured_image_urls":{"full":["https:\/\/www.euegeajans.com\/wp-content\/uploads\/2023\/09\/Doc.-Dr.-Feyza-Esra-Erdogan-Prof.-Dr.-Necdet-Budak-Ars.-Gor.-Serife-Nur-Bozdogan.jpg",1600,1149,false],"thumbnail":["https:\/\/www.euegeajans.com\/wp-content\/uploads\/2023\/09\/Doc.-Dr.-Feyza-Esra-Erdogan-Prof.-Dr.-Necdet-Budak-Ars.-Gor.-Serife-Nur-Bozdogan-150x150.jpg",150,150,true],"medium":["https:\/\/www.euegeajans.com\/wp-content\/uploads\/2023\/09\/Doc.-Dr.-Feyza-Esra-Erdogan-Prof.-Dr.-Necdet-Budak-Ars.-Gor.-Serife-Nur-Bozdogan-300x215.jpg",300,215,true],"medium_large":["https:\/\/www.euegeajans.com\/wp-content\/uploads\/2023\/09\/Doc.-Dr.-Feyza-Esra-Erdogan-Prof.-Dr.-Necdet-Budak-Ars.-Gor.-Serife-Nur-Bozdogan-768x552.jpg",640,460,true],"large":["https:\/\/www.euegeajans.com\/wp-content\/uploads\/2023\/09\/Doc.-Dr.-Feyza-Esra-Erdogan-Prof.-Dr.-Necdet-Budak-Ars.-Gor.-Serife-Nur-Bozdogan-1024x735.jpg",640,459,true],"1536x1536":["https:\/\/www.euegeajans.com\/wp-content\/uploads\/2023\/09\/Doc.-Dr.-Feyza-Esra-Erdogan-Prof.-Dr.-Necdet-Budak-Ars.-Gor.-Serife-Nur-Bozdogan-1536x1103.jpg",1536,1103,true],"2048x2048":["https:\/\/www.euegeajans.com\/wp-content\/uploads\/2023\/09\/Doc.-Dr.-Feyza-Esra-Erdogan-Prof.-Dr.-Necdet-Budak-Ars.-Gor.-Serife-Nur-Bozdogan.jpg",1600,1149,false],"newsphere-slider-full":["https:\/\/www.euegeajans.com\/wp-content\/uploads\/2023\/09\/Doc.-Dr.-Feyza-Esra-Erdogan-Prof.-Dr.-Necdet-Budak-Ars.-Gor.-Serife-Nur-Bozdogan-1280x720.jpg",1280,720,true],"newsphere-featured":["https:\/\/www.euegeajans.com\/wp-content\/uploads\/2023\/09\/Doc.-Dr.-Feyza-Esra-Erdogan-Prof.-Dr.-Necdet-Budak-Ars.-Gor.-Serife-Nur-Bozdogan-1024x735.jpg",1024,735,true],"newsphere-medium":["https:\/\/www.euegeajans.com\/wp-content\/uploads\/2023\/09\/Doc.-Dr.-Feyza-Esra-Erdogan-Prof.-Dr.-Necdet-Budak-Ars.-Gor.-Serife-Nur-Bozdogan-720x380.jpg",720,380,true]},"author_info":{"display_name":"Editor","author_link":"https:\/\/www.euegeajans.com\/index.php\/author\/editor\/"},"category_info":"Bilim<\/a> E\u011fitim<\/a> G\u00fcncel<\/a> Kamp\u00fcs<\/a> Sa\u011fl\u0131k<\/a>","tag_info":"Sa\u011fl\u0131k","comment_count":"0","_links":{"self":[{"href":"https:\/\/www.euegeajans.com\/index.php\/wp-json\/wp\/v2\/posts\/16489","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.euegeajans.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.euegeajans.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.euegeajans.com\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.euegeajans.com\/index.php\/wp-json\/wp\/v2\/comments?post=16489"}],"version-history":[{"count":2,"href":"https:\/\/www.euegeajans.com\/index.php\/wp-json\/wp\/v2\/posts\/16489\/revisions"}],"predecessor-version":[{"id":16492,"href":"https:\/\/www.euegeajans.com\/index.php\/wp-json\/wp\/v2\/posts\/16489\/revisions\/16492"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.euegeajans.com\/index.php\/wp-json\/wp\/v2\/media\/16490"}],"wp:attachment":[{"href":"https:\/\/www.euegeajans.com\/index.php\/wp-json\/wp\/v2\/media?parent=16489"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.euegeajans.com\/index.php\/wp-json\/wp\/v2\/categories?post=16489"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.euegeajans.com\/index.php\/wp-json\/wp\/v2\/tags?post=16489"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}