a Department of Mathematics and Applied Mathematics , University of Pretoria , Hatfield , South Africa.
b Department of Mathematics , The College of Saint Rose , Albany , New York , USA.
J Biol Dyn. 2017 Dec;11(1):244-274. doi: 10.1080/17513758.2017.1328079.
Chemovirotherapy is a combination therapy with chemotherapy and oncolytic viruses. It is gaining more interest and attracting more attention in the clinical setting due to its effective therapy and potential synergistic interactions against cancer. In this paper, we develop and analyse a mathematical model in the form of parabolic non-linear partial differential equations to investigate the spatiotemporal dynamics of tumour cells under chemovirotherapy treatment. The proposed model consists of uninfected and infected tumour cells, a free virus, and a chemotherapeutic drug. The analysis of the model is carried out for both the temporal and spatiotemporal cases. Travelling wave solutions to the spatiotemporal model are used to determine the minimum wave speed of tumour invasion. A sensitivity analysis is performed on the model parameters to establish the key parameters that promote cancer remission during chemovirotherapy treatment. Model analysis of the temporal model suggests that virus burst size and virus infection rate determine the success of the virotherapy treatment, whereas travelling wave solutions to the spatiotemporal model show that tumour diffusivity and growth rate are critical during chemovirotherapy. Simulation results reveal that chemovirotherapy is more effective and a good alternative to either chemotherapy or virotherapy, which is in agreement with the recent experimental studies.
化放疗是一种联合化疗和溶瘤病毒的治疗方法。由于其有效的治疗效果和对抗癌症的潜在协同作用，它在临床环境中越来越受到关注。在本文中，我们建立并分析了一个以抛物型非线性偏微分方程形式表示的数学模型，以研究肿瘤细胞在化放疗治疗下的时空动力学。所提出的模型由未感染和感染的肿瘤细胞、游离病毒和化疗药物组成。对模型进行了时空情况的分析。时空模型的行波解用于确定肿瘤侵袭的最小波速。对模型参数进行了敏感性分析，以确定在化放疗治疗过程中促进癌症缓解的关键参数。对时间模型的分析表明，病毒爆发大小和病毒感染率决定了病毒治疗的成功，而时空模型的行波解表明，在化放疗过程中，肿瘤扩散率和增长率是关键因素。模拟结果表明，化放疗比化疗或病毒治疗更有效，这与最近的实验研究结果一致。
