PULSAR效应：通过微分方程揭示联合放疗与免疫治疗中的潜在协同作用
PULSAR Effect: Revealing Potential Synergies in Combined Radiation Therapy and Immunotherapy via Differential Equations
AI总结：
本研究构建数学模型，通过时间依赖权重函数捕捉PULSAR放疗与免疫治疗间隔天数产生的协同效应，模拟小鼠试验并验证与临床前数据一致，助力临床试验开发。
摘要：
PULSAR（个性化超分割立体定向适应性放疗）是一种放疗方法，患者每隔数周接受一次大剂量或脉冲辐射，而非每日接受小剂量辐射。随后监测肿瘤反应，以确定何时应给予下一次脉冲。临床前试验显示，接受免疫治疗且脉冲间隔为10天的小鼠肿瘤反应更好。然而，当脉冲间隔为1天时，情况并非如此。因此，当脉冲间隔一定天数时，观察到免疫治疗与PULSAR之间存在协同效应。在我们的研究中，我们旨在开发一个数学模型，通过考虑一个依赖于时间的权重函数来捕捉这种协同效应，该函数考虑了脉冲之间的间隔。通过确定可行的参数并应用合理的条件，我们利用我们的模型模拟了具有不同脉冲顺序的小鼠试验。我们成功证明，我们的模型易于实施，并能生成与临床前试验数据一致的肿瘤体积数据。我们的模型有潜力帮助PULSAR疗法的临床试验开发。
英文摘要：
PULSAR (personalized ultrafractionated stereotactic adaptive radiotherapy) is a form of radiotherapy method where a patient is given a large dose or pulse of radiation a couple of weeks apart rather than daily small doses. The tumor response is then monitored to determine when the subsequent pulse should be given. Pre-clinical trials have shown better tumor response in mice that received immunotherapy along with pulses spaced 10 days apart. However, this was not the case when the pulses were 1 day apart. Therefore, a synergistic effect between immunotherapy and PULSAR is observed when the pulses are spaced out by a certain number of days. In our study, we aimed to develop a mathematical model that can capture the synergistic effect by considering a time-dependent weight function that takes into account the spacing between pulses. By determining feasible parameters, and applying reasonable conditions, we utilize our model to simulate murine trials with varying sequencing of pulses. We successfully demonstrate that our model is simple to implement and can generate tumor volume data that is consistent with the pre-clinical trial data. Our model has the potential to aid in the development of clinical trials of PULSAR therapy.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
