标题： 基于磁粒子光谱的以布朗弛豫为主的磁性纳米颗粒温度估算新方法 显示英文标题

标题： A Novel Estimation Method for Temperature of Magnetic Nanoparticles Dominated by Brownian Relaxation Based on Magnetic Particle Spectroscopy

摘要： 本文提出了一种基于布朗弛豫主导的磁性纳米颗粒（MNPs）交流磁化谐波的新方法来估算MNPs的温度。 分析了福克-普朗克方程与朗之万函数在交流磁化响应和磁化谐波方面的差异，并研究了磁化谐波与布朗弛豫时间、温度、磁场强度、MNPs的核心尺寸和流体力学尺寸、激励频率等关键因素之间的关系。 考虑到这些关键因素以及福克-普朗克方程与朗之万函数之间的差异，提出了一个补偿函数。然后建立了基于该补偿函数和朗之万函数的温度估算模型。通过采用最小二乘算法成功计算出了温度。 实验结果显示，在310 K到320 K的温度范围内，温度误差小于0.035 K。所提出的温度估算模型有望提高磁性纳米粒子温度计的性能，并应用于磁性纳米粒子介导的高温治疗技术中。 显示英文摘要

摘要： This paper presents a novel method for estimating the temperature of magnetic nanoparticles (MNPs) based on AC magnetization harmonics of MNPs dominated by Brownian relaxation. The difference in the AC magnetization response and magnetization harmonic between the Fokker-Planck equation and the Langevin function was analyzed, and we studied the relationship between the magnetization harmonic and the key factors, such as Brownian relaxation time, temperature, magnetic field strength, core size and hydrodynamic size of MNPs, excitation frequency, and so on. We proposed a compensation function for AC magnetization harmonic with consideration of the key factors and the difference between the Fokker-Planck equation and the Langevin function. Then a temperature estimation model based on the compensation function and the Langevin function was established. By employing the least squares algorithm, the temperature was successfully calculated. The experimental results show that the temperature error is less than 0.035 K in the temperature range from 310 K to 320 K. The temperature estimation model is expected to improve the performance of the magnetic nanoparticle thermometer and be applied to magnetic nanoparticle-mediated hyperthermia.