LOGISTIK MODEL ASOSIDA O‘SIMTA HUJAYRALARINING O‘SISHINI MODELLASHTIRISH
Keywords:
Kalit so‘zlar: o‘simta hujayrasi, logistik model, matematik modellashtirish, o‘sish tezligi, maksimal sig‘im, onkologiyaAbstract
Ushbu maqolada o‘simta hujayralarining o‘sishini logistik model asosida matematik tahlil qilish keltiriladi. Model yordamida hujayralarning tabiiy o‘sish sur’ati va resurs cheklovlari hisobga olingan holda o‘sma rivojlanishi bashorat qilinadi. Modellashtirish natijalari shish kasalliklarini tushunish va davolash strategiyalarini ishlab chiqishda muhim rol o‘ynaydi.
References
1. Murray, J.D. (2002). Mathematical Biology: I. An Introduction. Springer.
2. Edelstein-Keshet, L. (2005). Mathematical Models in Biology. SIAM.
3. A. Fister, J. Panetta (2000). Optimal control applied to cell-cycle specific cancer chemotherapy. SIAM Journal on Applied Mathematics.
4. Gerlee, P. (2013). The model muddle: in search of tumor growth laws. Cancer Research, 73(8), 2407-2411.
5. Gatenby, R. A., & Maini, P. K. (2003). Mathematical oncology: cancer summed up. Nature, 421(6921), 321–321.