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Overview
Open-Access Toolbox for Magnetic Particle Hyperthermia | v1.0 2026
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The MH online toolbox is hosted on the MagWorld platform and comprises complementary calculation modules in magnetic hyperthermia as follows:
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Α). Google Sheets: The master sheets are protected with view-only access; users are directed to create personal copies for their calculations. The current version is v1.0 (2026). All user-defined input fields are highlighted in red within the spreadsheet interface. The toolbox automatically updates all calculated quantities upon modification of any input parameter.
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Β). GitHub repository: This repository contains two independent Mathematica implementations for estimating the dynamic hysteresis loops of magnetic nanoparticles under alternating magnetic fields, relevant to magnetic hyperthermia applications. The first code describes the nonlinear magnetization dynamics of single-domain ferromagnetic nanoparticles using a stochastic double-well rate-equation model based on the Stoner–Wohlfarth theory. The second code implements Linear Response Theory (LRT) for superparamagnetic nanoparticles, where magnetization follows the applied field linearly through relaxation dynamics and AC susceptibility. Both models are computationally efficient alternatives to full micromagnetic simulations based on the Landau–Lifshitz–Gilbert (LLG) equation and are particularly suitable for ensemble-level studies involving large numbers of nanoparticles and statistical distributions of particle properties.
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Module
Calculation Included
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Google SheetsSLP_Cal
Calorimetric SLP from temperature-time curves[1]
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Uncertainty propagation and sensitivity analysis[2]
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SLP_AC
Néel and Brownian relaxation times[3]
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Effective relaxation time and dynamic susceptibility[4]
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Relaxation-based SLP via LRT[5]
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SLP_DC
Numerical integration of experimental minor loops[6]
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Frequency scaling and SLP estimation[7]
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MathematicaSW model
Dynamic hysteresis loops for blocked/near-blocked particles[8]
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Thermally activated Néel switching and rate equation[9]
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SLP mapping across particle size and anisotropy distributions[10]
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LRT model
Dynamic susceptibility and elliptical hysteresis loops (SPM regime)[11]
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Users are requested to cite the manuscript when citing results obtained with the toolbox.
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References
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[1] K. Simeonidis et al., 2013 J. Appl. Phys. 114, 103904 http://dx.doi.org/10.1063/1.4821020
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[2] A. Makridis et al., 2019 J. Phys. D: Appl. Phys. 52 255001 https://doi.org/10.1088/1361-6463/ab140c
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[3] R.E. Rosensweig, 2002 J. Magn. Magn. Mater. 252, 370-374 https://doi.org/10.1016/S0304-8853(02)00706-0
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[4] S. Ranoo et al., 2019 J.Magn.Magn.Mat. 486, 165267 https://doi.org/10.1016/j.jmmm.2019.165267
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[5] M. Coisson, 2019 J.Magn.Magn. Mater. 473, 403-409 https://doi.org/10.1016/j.jmmm.2018.10.107
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[6] S. Borowka et al 2017 J. Phys.: Conf. Ser. 920 012003 https://doi.org/10.1088/1742-6596/920/1/012003
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[7] M. Cobianchi et al., 2017 J.Magn.Magn.Mater. 444, 154-160 https://doi.org/10.1016/j.jmmm.2017.08.014
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[8] S.V. Titov, 2024 AIP Advances 14, 035216 https://doi.org/10.1063/5.0191413
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[9] J. M. Lee et al., 2013 J. Appl. Phys. 113, 063914 https://doi.org/10.1063/1.4792303
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[10] N. Maniotis et al., 2025 J. Magn.Magn.Mater. 617, 172843 https://doi.org/10.1016/j.jmmm.2025.172843
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[11] B. Ouari et al., 2013 J. Appl. Phys. 113, 053903 https://doi.org/10.1063/1.4789848
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