PDE Modeling of Bladder Cancer Treatment Using BCG Immunotherapy

نتاج البحث: فصل من :كتاب / تقرير / مؤتمرمنشور من مؤتمرمراجعة النظراء

1 اقتباس (Scopus)

ملخص

Immunotherapy with Bacillus Calmette-Guérin (BCG)—an attenuated strain of Mycobacterium bovis (M. bovis) used for anti-tuberculosis immunization—is a clinically established procedure for the treatment of superficial bladder cancer. Bunimovich-Mendrazitsky et al. [16] studied the role of BCG immunotherapy in bladder cancer dynamics in a system of nonlinear ODEs. The purpose of this paper is to develop a first mathematical model that uses PDEs to describe tumor-immune interactions in the bladder as a result of BCG therapy considering the geometrical configuration of the human bladder. A mathematical analysis of the BCG as a PDE model identifies multiple equilibrium points, and their stability properties are identified so that treatment that has the potential to result in a tumor-free equilibrium can be determined. Estimating parameters and validating the model using published data are taken from in vitro, mouse, and human studies. The model makes clear that the intensity of immunotherapy must be kept within limited bounds. We use numerical analysis methods to find the solution of the PDE describing the tumor-immune interaction; in particular, analysis of the solution’s stability for given parameters is presented using Computer Vision methodologies.

اللغة الأصليةالإنجليزيّة
عنوان منشور المضيفFunctional Differential Equations and Applications - FDEA-2019
المحررونAlexander Domoshnitsky, Alexander Rasin, Seshadev Padhi
الصفحات119-129
عدد الصفحات11
المعرِّفات الرقمية للأشياء
حالة النشرنُشِر - 2021
الحدث7th International Conference on Functional Differential Equations and Applications, FDEA 2019 - Ariel, إسرائيل
المدة: ٢٢ أغسطس ٢٠١٩٢٧ أغسطس ٢٠١٩

سلسلة المنشورات

الاسمSpringer Proceedings in Mathematics and Statistics
مستوى الصوت379
رقم المعيار الدولي للدوريات (المطبوع)2194-1009
رقم المعيار الدولي للدوريات (الإلكتروني)2194-1017

!!Conference

!!Conference7th International Conference on Functional Differential Equations and Applications, FDEA 2019
الدولة/الإقليمإسرائيل
المدينةAriel
المدة٢٢/٠٨/١٩٢٧/٠٨/١٩

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