Analysis of a Multiple Delays Model for Treatment of Cancer with Oncolytic Virotherapy
المؤلفون المشاركون
Rachik, Mostafa
El Alami laaroussi, Adil
Hia, Mohamed El
Ghazzali, Rachid
المصدر
Computational and Mathematical Methods in Medicine
العدد
المجلد 2019، العدد 2019 (31 ديسمبر/كانون الأول 2019)، ص ص. 1-12، 12ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2019-09-30
دولة النشر
مصر
عدد الصفحات
12
التخصصات الرئيسية
الملخص EN
Despite advanced discoveries in cancerology, conventional treatments by surgery, chemotherapy, or radiotherapy remain ineffective in some situations.
Oncolytic virotherapy, i.e., the involvement of replicative viruses targeting specific tumor cells, opens new perspectives for better management of this disease.
Certain viruses naturally have a preferential tropism for the tumor cells; others are genetically modifiable to present such properties, as the lytic cycle virus, which is a process that represents a vital role in oncolytic virotherapy.
In the present paper, we present a mathematical model for the dynamics of oncolytic virotherapy that incorporates multiple time delays representing the multiple time periods of a lytic cycle.
We compute the basic reproductive ratio R0, and we show that there exist a disease-free equilibrium point (DFE) and an endemic equilibrium point (DEE).
By formulating suitable Lyapunov function, we prove that the disease-free equilibrium (DFE) is globally asymptotically stable if R0<1 and unstable otherwise.
We also demonstrate that under additional conditions, the endemic equilibrium is stable.
Also, a Hopf bifurcation analysis of our dynamic system is used to understand how solutions and their stability change as system parameters change in the case of a positive delay.
To illustrate the effectiveness of our theoretical results, we give numerical simulations for several scenarios.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
El Alami laaroussi, Adil& Hia, Mohamed El& Rachik, Mostafa& Ghazzali, Rachid. 2019. Analysis of a Multiple Delays Model for Treatment of Cancer with Oncolytic Virotherapy. Computational and Mathematical Methods in Medicine،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1130474
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
El Alami laaroussi, Adil…[et al.]. Analysis of a Multiple Delays Model for Treatment of Cancer with Oncolytic Virotherapy. Computational and Mathematical Methods in Medicine No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1130474
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
El Alami laaroussi, Adil& Hia, Mohamed El& Rachik, Mostafa& Ghazzali, Rachid. Analysis of a Multiple Delays Model for Treatment of Cancer with Oncolytic Virotherapy. Computational and Mathematical Methods in Medicine. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1130474
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1130474
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
تقوم هذه الخدمة بالتحقق من التشابه أو الانتحال في الأبحاث والمقالات العلمية والأطروحات الجامعية والكتب والأبحاث باللغة العربية، وتحديد درجة التشابه أو أصالة الأعمال البحثية وحماية ملكيتها الفكرية. تعرف اكثر