基于新型MBR方法的振荡阈值及其在溶瘤病毒治疗中的应用

IF 2.6 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Modelling and Control Pub Date : 2022-06-30 DOI:10.15388/namc.2022.27.27962

B. Buonomo, Rossella Della Marca, S. Rionero

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引用次数: 0

摘要

溶瘤病毒疗法是一种治疗恶性肿瘤的疗法。在一些不理想的情况下，注射病毒颗粒会导致稳定振荡，从而阻止肿瘤块的完全破坏。我们研究了溶瘤病毒治疗下肿瘤动力学模型中的振荡阈值。为此，我们采用了最小分叉根（MBR）方法，这是一种确定Hopf分叉存在和位置的新方法。溶瘤病毒治疗的应用证实了这种方法比基于Routh–Hurwitz标准的经典方法更易于管理。特别地，MBR方法允许明确地识别振荡阈值下降的值的范围。

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Oscillation thresholds via the novel MBR method with application to oncolytic virotherapy

Oncolytic virotherapy is a therapy for the treatment of malignant tumours. In some undesirable cases, the injection of viral particles can lead to stationary oscillations, thus preventing the full destruction of the tumour mass. We investigate the oscillation thresholds in a model for the dynamics of a tumour under treatment with an oncolytic virus. To this aim, we employ the minimum bifurcation roots (MBR) method, which is a novel approach to determine the existence and location of Hopf bifurcations. The application to oncolytic virotherapy confirms how this approach may be more manageable than classical methods based on the Routh–Hurwitz criterion. In particular, the MBR method allows to explicitly identify a range of values in which the oscillation thresholds fall.

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来源期刊

Nonlinear Analysis-Modelling and Control MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

3.80

自引率

10.00%

发文量

审稿时长

9.6 months

期刊介绍： The scope of the journal is to provide a multidisciplinary forum for scientists, researchers and engineers involved in research and design of nonlinear processes and phenomena, including the nonlinear modelling of phenomena of the nature. The journal accepts contributions on nonlinear phenomena and processes in any field of science and technology. The aims of the journal are: to provide a presentation of theoretical results and applications; to cover research results of multidisciplinary interest; to provide fast publishing of quality papers by extensive work of editors and referees; to provide an early access to the information by presenting the complete papers on Internet.