Application of a new self-regulating temperature magnetic material Fe₈₃Zr₁₀B₇ in magnetic induction hyperthermia

Figures & data

Figure 1. A wireframe rendering of the MIH model.

Figure 2. (a) The XRD pattern of Fe83Zr10B7. (b) The magnetic hysteresis loop of Fe83Zr10B7. (c) The thermogravimetric curve obtained by thermogravimetric analyzer under a static magnetic field, the inset is the first derivative of the thermogravimetric curve. (d) The M-T curve obtained by PPMS, the inset is the first derivative of the M-T curve.

Table 1. Physical parameters.

	Density ρ[kg/m^3]	Specific heat Cp[J/kg/^oC]	Thermal Conductivity λ[W/m/^oC]	Conductivity σ[S/m]	Relative permittivity εr[1]	Blood perfusion Rate wb[s^-1]	Basal metabolic heat rate Qmet[W/m^3]
Muscle	1090	3421	0.49	0.356–0.407	5.23E3–9.02E3	6.72E4	992
Skin	1109	3391	0.37	3.3E4–1.9E3	1.09E3–1.12E3	1.96E3	1830
Blood	1050	3617	0.52	0.702–0.721	4.69E3–5.17E3	－	－
Tumor	1050	3500	0.50	0.356–0.407	5.23E3–9.02E3	8.33E4	5790
Air	1.2	1004	0.03	0	1	－	－
Water	994	4178	0.6	5.7E10–3.3E7	84.64	－	－

Table 2. Fe₈₃Zr₁₀B₇ parameters.

Density ρ[kg/m^3]	Specific heat Cp[J/(kg·^oC)]	Thermal Conductivity λ[W/m/^oC]	Conductivity σ[S/m]
7230	456	90.7	4.15E5
Relative permittivity εr[1]	Saturation magnetization Bs[mT]	Maximum relative permeability μm[1]	Coercivity Hc[A/m]
1	71	366.8	5.639

Figure 3. (a) The experimental scheme for measuring heating curves of Fe83Zr10B7 rectangular. (b) Cylindrical fresh pork tissue and Air-core copper coil used in MIH experiment. (c) Diagram of in vitro tissue experiment.

Figure 4. The three-dimensional heating model.

Figure 5. The comparison of the surface temperature of Fe₈₃Zr₁₀B₇ rectangular between simulation and experimental results under different heating conditions at f = 60kHz.

Figure 6. Simulation and experimental temperature rise curves of four temperature measuring points in fresh pork tissue.

Figure 7. The angle between the direction of the applied magnetic field and the central axis of the cylindrical and the rectangular varies from 0° to 90°.

Figure 8. The initial average heating power density of three shapes of Fe₈₃Zr₁₀B₇ material with various angles at f = 90kHz, H₀=5kA/m and T = 37 °C.

Figure 9. The induced current density distribution of a Fe₈₃Zr₁₀B₇ cuboid at f = 90kHz, H₀=5kA/m.

Figure 10. The initial heating power density of a Fe₈₃Zr₁₀B₇ cylinder with a radius of 1 mm.

Figure 11. The heating power density of Fe₈₃Zr₁₀B₇ spherical.

Figure 12. The heating power of Fe₈₃Zr₁₀B₇ spherical.

Figure 13. Temperature distribution along the radius from the tumor center under the conditions of f = 90kHz and H₀=9kA/m of magnetic media with various diameters.

Figure 14. The arm model of the human body.

Figure 15. The temperature distribution in normal tissue and tumor under the condition of f = 240kHz and H₀=15kA/m for 60 min.

Figure 16. The equivalent thermal dose curves of tissue under different magnetic field conditions.

Figure 17. The equivalent thermal dose curves of a 10 mm diameter tumor heated by a 3.5 mm diameter material under different magnetic conditions.

Figure 18. The equivalent thermal dose curves of a 20 mm diameter tumor heated by a 4 mm diameter material under different magnetic field conditions.

Figure 19. The heating model arranged by six spherical magnetic mediums.

Figure 20. The equivalent thermal dose curves of a 30 mm diameter tumor heated by six spherical magnetic mediums under different magnetic conditions.