arXiv:2509.06893cs.MAcs.RO2025-09

用纳米机器人集群精准定位并治疗分散癌灶,提升疗效与适应性。

Nanobot Algorithms for Treatment of Diffuse Cancer

  • 基于化学梯度引导的纳米机器人自主寻迹算法
  • 新算法使治疗速度提升且适配多种癌灶分布
  • 适合癌症靶向治疗研究者与微纳系统设计者

移动式纳米颗粒(即“纳米机器人”)因其独特尺度和精准性,有望实现更有效、毒性更低的靶向药物递送。本文研究癌灶呈弥散分布时,纳米机器人集群如何定位多个独立癌灶并投递药物。为提高治疗成功率,需根据各病灶需求合理分配药物,这要求纳米机器人具备额外协调能力。我们构建了纳米机器人行为及其胶体环境的数学模型,其中机器人运动基于实际纳米颗粒的实验数据,表现为在化学梯度上随机上下移动。提出三种算法:KM 算法仅依赖自然化学信号;KMA 在自然信号基础上增加放大信号;KMAR 进一步引入反向信号,使已充分治疗的病灶产生负趋化性,排斥机器人。仿真结果显示,当自然信号弱时,KM 治疗进展过慢;KMA 提升速度但整体成功率下降,仅对集中癌灶有效;而 KMAR 在所有癌灶分布下均表现优异,展现出强鲁棒性与自适应能力。

原文摘要 · Abstract (English)

Motile nanosized particles, or "nanobots", promise more effective and less toxic targeted drug delivery because of their unique scale and precision. We consider the case in which the cancer is "diffuse", dispersed such that there are multiple distinct cancer sites. We investigate the problem of a swarm of nanobots locating these sites and treating them by dropping drug payloads at the sites. To improve the success of the treatment, the drug payloads must be allocated between sites according to their "demands"; this requires extra nanobot coordination. We present a mathematical model of the behavior of the nanobot agents and of their colloidal environment. This includes a movement model for agents based upon experimental findings from actual nanoparticles in which bots noisily ascend and descend chemical gradients. We present three algorithms: The first algorithm, called KM, is the most representative of reality, with agents simply following naturally existing chemical signals that surround each cancer site. The second algorithm, KMA, includes an additional chemical payload which amplifies the existing natural signals. The third algorithm, KMAR, includes another additional chemical payload which counteracts the other signals, instead inducing negative chemotaxis in agents such that they are repelled from sites that are already sufficiently treated. We present simulation results for all algorithms across different types of cancer arrangements. For KM, we show that the treatment is generally successful unless the natural chemical signals are weak, in which case the treatment progresses too slowly. For KMA, we demonstrate a significant improvement in treatment speed but a drop in eventual success, except for concentrated cancer patterns. For KMAR, our results show great performance across all types of cancer patterns, demonstrating robustness and adaptability.

纳米机器人靶向治疗算法设计癌症治疗

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