Assessing the impact of immunotherapy on oncolytic virotherapy in the treatment of cancer

IF 2.4 3区 数学 Q1 MATHEMATICS Journal of Applied Mathematics and Computing Pub Date : 2024-06-18 DOI:10.1007/s12190-024-02139-8
Salaheldin Omer, Hermane Mambili-Mamboundou
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Abstract

Combined oncolytic virotherapy and immunotherapy are novel treatment protocols that represent a promising and advantageous strategy for various cancers, surpassing conventional anti-cancer treatments. This is due to the reduced toxicity associated with traditional cancer therapies. We present a mathematical model that describes the interactions between tumor cells, the immune response, and the combined application of virotherapy and interleukin-2 (IL-2). A stability analysis of the model for both the tumor and tumor-free states is discussed. To gain insight into the impact of model parameters on tumor cell growth and inhibition, we perform a sensitivity analysis using Latin hypercube sampling to compute partial rank correlation coefficient values and their associated p-values. Furthermore, we perform optimal control techniques using the Pontryagin maximum principle to minimize tumor burden and determine the most effective protocol for the administered treatment. We numerically demonstrate the ability of combined virotherapy and IL-2 to eliminate tumors.

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评估免疫疗法对溶瘤病毒疗法治疗癌症的影响
溶瘤病毒疗法和免疫疗法相结合是一种新型治疗方案,是治疗各种癌症的一种前景广阔的有利策略,超越了传统的抗癌疗法。这是因为传统癌症疗法的毒性降低了。我们提出了一个数学模型,该模型描述了肿瘤细胞、免疫反应以及病毒疗法和白细胞介素-2(IL-2)联合应用之间的相互作用。我们讨论了该模型在肿瘤和无肿瘤状态下的稳定性分析。为了深入了解模型参数对肿瘤细胞生长和抑制的影响,我们使用拉丁超立方采样法进行了敏感性分析,计算了偏等级相关系数值及其相关的 p 值。此外,我们还利用庞特里亚金最大原则执行最优控制技术,以最大限度地减少肿瘤负担,并确定最有效的给药治疗方案。我们用数字证明了联合病毒疗法和 IL-2 消除肿瘤的能力。
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来源期刊
Journal of Applied Mathematics and Computing
Journal of Applied Mathematics and Computing Mathematics-Computational Mathematics
CiteScore
4.20
自引率
4.50%
发文量
131
期刊介绍: JAMC is a broad based journal covering all branches of computational or applied mathematics with special encouragement to researchers in theoretical computer science and mathematical computing. Major areas, such as numerical analysis, discrete optimization, linear and nonlinear programming, theory of computation, control theory, theory of algorithms, computational logic, applied combinatorics, coding theory, cryptograhics, fuzzy theory with applications, differential equations with applications are all included. A large variety of scientific problems also necessarily involve Algebra, Analysis, Geometry, Probability and Statistics and so on. The journal welcomes research papers in all branches of mathematics which have some bearing on the application to scientific problems, including papers in the areas of Actuarial Science, Mathematical Biology, Mathematical Economics and Finance.
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