Jimenez Rolando Placeres, Bergues Cabrales Luis E, Montijano Juan I
Grupo de Simulaç ao Computacional, Departamento de Física, Universidade Federal de S ao Carlos, S ao Carlos, S ao Paulo, Brazil.
Departamento de Investigación e Innovación, Centro Nacional de Electromagnetismo Aplicado, Universidad de Oriente, Santiago de Cuba, Cuba.
PLoS One. 2025 Aug 25;20(8):e0329087. doi: 10.1371/journal.pone.0329087. eCollection 2025.
In this paper, the tumor-host interaction is modeled using a Lotka-Volterra framework. The critical parameters that define the possible dynamical regimes are identified through linear stability analysis. The effects of both constant and periodic perturbations are examined, along with their clinical implications. The treatment dose required to drive the system to a desired state is determined. It is also shown that aggressive tumors evolve toward a limit cycle when the host is under the action of low-frequency periodic treatment. As the frequency increases, a transition to a non-chaotic attractor occurs. This transition narrows as the frequency of the external periodic perturbation increases. No chaotic behavior is observed, even at higher values of both perturbation strength and frequency, as the maximum Lyapunov exponent remains negative. These results suggest that although aggressive tumors may not be completely eradicated by conventional anticancer therapies, they could potentially be controlled through external low-frequency periodic treatments that target directly only the host, such as immunotherapy.
在本文中，肿瘤-宿主相互作用是使用洛特卡-沃尔泰拉框架进行建模的。通过线性稳定性分析确定了定义可能动态状态的关键参数。研究了恒定扰动和周期性扰动的影响及其临床意义。确定了将系统驱动到期望状态所需的治疗剂量。研究还表明，当宿主受到低频周期性治疗作用时，侵袭性肿瘤会朝着极限环演化。随着频率增加，会发生向非混沌吸引子的转变。随着外部周期性扰动频率的增加，这种转变会变窄。即使在扰动强度和频率较高时也未观察到混沌行为，因为最大李雅普诺夫指数仍为负。这些结果表明，尽管侵袭性肿瘤可能无法通过传统抗癌疗法完全根除，但通过直接仅针对宿主的外部低频周期性治疗（如免疫疗法），它们有可能得到控制。
