پ۲۹۱۵۱
per
ﻣﺪﻝ ﺑﻨﺪﯼ ﺑﺮﻫﻢﮐﻨﺶ ﺑﯿﻦ ﺭﺷﺪ ﺳﻠﻮﻝﻫﺎﯼ ﺗﻮﻣﻮﺭ ﻭ ﺳﯿﺴﺘﻢ ﺍیمنی ﺑﺎ ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ عملگرﻫﺎﯼ ﮐﺴﺮﯼ ﻭ ﮐﺴﺮﯼ ﻓﺮﺍﮐﺘﺎﻝ
ﻓﺎﻃﻤﻪ ﻗﻠﯿﺰﺍﺩﻩ
ریاضی آمار وعلوم کامپیوتر
۱۴۰۲
۹۴ص.
سی دی
کارشناسی ارشد
ﺭﯾﺎضی ﮐﺎﺭﺑﺮﺩﯼ، ﻣﻌﺎﺩﻻﺕ ﺩﯾﻔﺮﺍﻧﺴﯿﻞ ﻭ ﺳﯿﺴﺘﻢﻫﺎﯼ ﺩﯾﻨﺎمیکی
۱۴۰۲/۰۶/۰۸
ﺍﻧﺴﺎﻥﻫﺎ ﻫﻤﯿﺸﻪ ﺩﺭ ﻣﻌﺮﺽ ﺧﻄﺮ ﺑﯿﻤﺎﺭﯼﻫﺎﯼ ﻋﻔﻮنی ﻫﺴﺘﻨﺪ. ﺛﺎﺑﺖ ﺷﺪەﺍﺳﺖ ﮐﻪ ﺍﺭﺗﺒﺎﻁ مستقیمی ﺑﯿﻦ ﻗﺪﺭﺕ ﻭ ﯾﺎ ﺿﻌﻒ ﺳﯿﺴﺘﻢ ﺍیمنی ﻭ ﺷﯿﻮﻉ ﺑﯿﻤﺎﺭﯼﻫﺎﯼ ﻋﻔﻮنی ﻣﺎﻧﻨﺪ ﺳﻞ، ﻫﭙﺎﺗﯿﺖ، ﺍﯾﺪﺯ ﻭ ﮐﻮﻭﯾﺪ ١٩ ﻭﺟﻮﺩ ﺩﺍﺭﺩ. ﻋﻼﻭﻩ ﺑﺮ ﺍﯾﻦ، ﺛﺎﺑﺖ ﺷﺪەﺍﺳﺖ ﮐﻪ ﻣﺪﻝﺳﺎﺯﯼ ﺭﯾﺎضی ﺍﺑﺰﺍﺭﯼ ﻋﺎلی ﺑﺮﺍﯼ ﺗﻮﺻﯿﻒ ﺩﻗﯿﻖ ﭘﺪﯾﺪەﻫﺎﯼ ﺑﯿﻮﻟﻮﮊیکی ﭘﯿﭽﯿﺪﻩ ﺍﺳﺖ. ﺩﺭﺍﯾﻦ ﭘﮋﻭﻫﺶ، ﭼﻨﺪ ﺭﺍەﺣﻞ ﺗﻘﺮﯾﺒﯽ ﺟﺪﯾﺪ ﺑﺮﺍﯼ یک ﻓﺮﻣﻮﻝ ﻣﺤﺎﺳﺒﺎتی ﺍﺭﺍﺋﻪ ﻣͬﮐﻨﯿﻢ ﮐﻪ ﺗﻌﺎﻣﻞ ﺑﯿﻦ ﺭﺷﺪ ﺗﻮﻣﻮﺭ ﻭ ﺳﯿﺴﺘﻢ ﺍیمنی ﺭﺍ ﺑﺎ ﭼﻨﺪﯾﻦ ﺍﭘﺮﺍﺗﻮﺭ ﮐﺴﺮﯼ ﻭ ﮐﺴﺮﯼ ﻓﺮﺍﮐﺘﺎلی ﻣﺪﻝﺳﺎﺯﯼ میکند عملگرها ﻣﻮﺭﺩ ﺍﺳﺘﻔﺎﺩﻩ ﺩﺭ ﺍﯾﻦ ﻣﺪﻝ ﻟﯿﻮﻭﯾﻞ⁃ﮐﺎﭘﻮﺗﻮ، ﮐﺎﭘﻮﺗﻮ⁃ ﻓﺎﺑﺮﯾﺰﯾﻮ⁃ﮐﺎﭘﻮﺗﻮ ﻭ ﺁﺗﺎﻧﮕﺎﻧﺎ⁃ﺑﺎﻟﺌﺎﻧﻮ⁃ﮐﺎﭘﻮﺗﻮ ﻫﺴﺘﻨﺪ. ﻭﺟﻮﺩ ﻭ ﻣﻨﺤﺼﺮ ﺑﻪ ﻓﺮﺩ ﺑﻮﺩﻥ ﺟﻮﺍﺏ ﺩﺭ ﻫﺮ یک ﺍﺯ ﺍﯾﻦ ﻣﻮﺍﺭﺩ ﻧﯿﺰ ﺑﺮﺭسی می شود.
AbstractHumans are always at risk of infectious diseases. It has been proven that there is a direct relationship between the strength or weakness of the immune system and infectious diseases such as tuberculosis, hepatitis, AIDS and Covid-19. More- over, mathematical models have been proven to be excellent tools for describing complex biological phenomena. In this research, we present some new approxi- mate solutions for a computational formula that models the relationship between tumor growth and the immune system with several fractional and fractal models. The operators used in this model are Liouville-Caputo, Caputo-Fabrizio-Caputo and Atangana-Baleano-Caputo.The existence and uniqueness of the solution in each of these cases.
On the modeling of the interaction between tumor growth and the immune system using some new fractional and fractional-fractal operators.
ﻗﻠﯿﺰﺍﺩﻩ،
ﻓﺎﻃﻤﻪ
تهیه کننده
ﺧﯿﺮﯼ،
ﺟﺪﯾﺮﯼ ﺍﮐﺒﺮﻓﺎﻡ،
ﺟﺒﺎﺭﯼ،
ﺣﺴﯿﻦ
علی ﺍﺻﻐﺮ
ﻋﺰﯾﺰﻩ
استاد راهنما
استاد راهنما
استاد مشاور
تبریز
