MARC details
000 -LEADER |
fixed length control field |
02876 a2200433 4500 |
001 - CONTROL NUMBER |
control field |
200425247 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
TR-AnTOB |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20230908000935.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
161109s2016 tu 000 0 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
TR-AnTOB |
Transcribing agency |
TR-AnTOB |
Language of cataloging |
eng |
Description conventions |
rda |
041 0# - LANGUAGE CODE |
Language code of text/sound track or separate title |
Türkçe |
099 ## - LOCAL FREE-TEXT CALL NUMBER (OCLC) |
Classification number |
TEZ TOBB FBE MAT YL’15 AYD |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Aydın, Gamzegül |
9 (RLIN) |
118767 |
245 10 - TITLE STATEMENT |
Title |
Bir HIV/AIDS enfeksiyon modeli ve kararlılık analizi = A HIV/AIDS infection model and its stability analysis / |
Statement of responsibility, etc. |
Gamzegül Aydın. |
264 ## - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
Place of production, publication, distribution, manufacture |
Ankara: |
Name of producer, publisher, distributor, manufacturer |
TOBB ETÜ Fen Bilimleri Enstitüsü, |
Date of production, publication, distribution, manufacture, or copyright notice |
2015. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xiii 72 pages : |
Other physical details |
charts, graphics, illustrations (some color) ; |
Dimensions |
30 cm. |
336 ## - CONTENT TYPE |
Source |
rdacontent |
Content type term |
text |
Content type code |
txt |
337 ## - MEDIA TYPE |
Source |
rdamedia |
Media type term |
unmediated |
Media type code |
n |
338 ## - CARRIER TYPE |
Source |
rdacarrier |
Carrier type term |
volume |
Carrier type code |
nc |
502 ## - DISSERTATION NOTE |
Dissertation note |
Tez (Yüksek Lisans)--TOBB ETÜ Fen Bilimleri Enstitüsü Aralık 2015 |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc. note |
|
520 ## - SUMMARY, ETC. |
Summary, etc. |
Bu tezde, tümör hücrelerini içeren bir HIV enfeksiyon modeli verilmekte ve bu model analiz edilmektedir. Modelde, dört popülasyon bulunmaktadır: tümör hücreleri, yardımcı T-hücreleri, enfekte olmuş yardımcı T-hücreleri ve virüs. Bu popülasyonlar arasındaki ilişki, lineer olmayan dinamik sistemler yaklaşımıyla modellenmiştir. Bu popülasyonlardaki zamana göre değişim ise diferensiyel denklemler kullanılarak ifade edilmiştir. İlk olarak HIV, tümör ve bağışıklık sistemi etkileşimi üzerinde durulmuştur. Takiben, çözümün pozitifliğinden bahsedilmiş ve modelin denge noktaları belirlenerek bu denge noktalarının kararlılık analizi yapılmıştır. Son olarak; elde edilen analitik sonuçlar, nümerik çalışmalar ile desteklenerek, biyolojik açıdan yorumlanmıştır.<br/><br/><br/>In this study, we propose a mathematical model of HIV infection with tumor cells. We model the interaction between tumor cells, helper T cells, infected helper T cells and virus cells by using a nonlinear dynamical system approach which gives rates of change of the four cell populations in the body. First, we prove the positivity of the solution, as desired in any population dynamics. Then, we analyze the local asymptotic stability of equilibrium points of the HIV infection model. In the end, we support our theoretical results by some numerical simulations. |
650 00 - SUBJECT ADDED ENTRY--TOPICAL TERM |
9 (RLIN) |
32546 |
Topical term or geographic name entry element |
Tezler, Akademik |
|
Topical term or geographic name entry element |
Dissertations, Academic |
9 (RLIN) |
32543 |
653 ## - INDEX TERM--UNCONTROLLED |
Uncontrolled term |
Dinamik Sistemler |
|
Uncontrolled term |
Kararlılık Analizi |
|
Uncontrolled term |
Matematiksel Biyoloji |
|
Uncontrolled term |
Matematiksel Modelleme |
|
Uncontrolled term |
HIV |
|
Uncontrolled term |
Dynamical Systems |
|
Uncontrolled term |
Stability Analysis |
|
Uncontrolled term |
Mathematical Biology |
|
Uncontrolled term |
Mathematical Modelling |
|
Uncontrolled term |
HIV |
710 #2 - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
TOBB Ekonomi ve Teknoloji Üniversitesi. |
Subordinate unit |
Fen Bilimleri Enstitüsü |
9 (RLIN) |
77078 |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
<a href="https://tez.yok.gov.tr/">https://tez.yok.gov.tr/</a> |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
Thesis |
Source of classification or shelving scheme |
Other/Generic Classification Scheme |