In the present study, the optimization of hyperthermia treatment via Magnetic nanoparticles (MNPs) direct injection using heuristic algorithms is conducted. The particles mass transfer in addition to the dual phase lag (DPL) bioheat equation are solved using implicit finite different scheme to capture the temperature variations due to sever heat generation at early stages. To examine the capability and accuracy of the proposed algorithm three different tumor configurations are considered and the multi-site injection properties including number of infusions, location and time duration of injection(s) and MNP dosage is determined. According to the results, for primitive tumor shapes a tradeoff between accuracy and MNP consumption should be accounted, while 4-point injection provides the desired temperature pattern for complex tumor distributions.

在本研究中，使用启发式算法通过磁性纳米粒子（MNP）直接注射进行了高温治疗的优化。除了使用双相滞后（DPL）生物热方程式之外，还使用隐式有限差分方案解决了粒子传质问题，以捕获由于早期产生大量热量而引起的温度变化。为了检查所提出算法的能力和准确性，考虑了三种不同的肿瘤构型，并确定了多部位注射特性，包括输注次数，注射位置和持续时间以及MNP剂量。根据结果​​，对于原始肿瘤形状，应考虑准确性和MNP消耗之间的权衡，而四点注射可为复杂的肿瘤分布提供所需的温度模式。