Investigation of Lorentz field effects on wound healing: theoretical, computational, and experimental analysis.

This study introduces a novel noninvasive wound healing approach that generates Lorentz fields in the wound area using ultrasonic transducers under a static magnetic field, enabling localized stimulation without direct electrode contact. Theoretical derivations of the governing equations, supported by numerical simulations, demonstrate the feasibility and potential effectiveness of this technique. The model incorporates the two-dimensional geometry of the wound, skin layers, coupling gel, and either a single-element ultrasonic probe or a 16-element linear phased array (LPA) transducer. Pressure and velocity current density distributions in the wound area were analyzed under three excitation configurations: (i) (i) single-element ultrasonic probe excitation, (ii) beam steering of the LPA transducer at 5° intervals between -30° and +30°, and (iii) focusing of the LPA transducer at 0°. Each configuration produced distinct pressure and current density patterns in the wound region. In the single-element probe configuration, the simulated velocity current density reached approximately 4.51 μA/cm², corresponding to a pressure of 0.17 MPa. These values remained within established safety limits while being sufficient to promote wound healing. For the LPA transducer, electronic beam steering provided a more uniform acoustic pressure and induced current density distribution across a wider wound area, with pressures ranging between ±0.118-0.203 MPa and current densities between ±2.33-2.69 μA/cm². In the focusing configuration, the maximum pressure reached 0.285 MPa and the peak current density was 6.72 μA/cm², both within safe exposure limits. Animal experiments conducted over 14 days confirmed that the Lorentz-field group exhibited the fastest wound closure, followed by the ultrasound and magnetic field groups, while the control group showed the least improvement. This combined ultrasound-magnetic field approach provides a promising and safe alternative for accelerating wound healing through localized, non-invasive Lorentz-induced stimulation.