Optimization of magnetic neurostimulation waveforms for minimum power loss.

Magnetic stimulation is a key tool in experimental brain research and several clinical applications. Whereas coil designs and the spatial field properties have been intensively studied in the literature, the temporal dynamics of the field has received little attention. The available pulse shapes are typically determined by the relatively limited capabilities of commercial stimulation devices instead of efficiency or optimality. Furthermore, magnetic stimulation is relatively inefficient with respect to the required energy compared to other neurostimulation techniques. We therefore analyze and optimize the waveform dynamics with a nonlinear model of a mammalian motor axon for the first time, without any pre-definition of waveform candidates. We implemented an unbiased and stable numerical algorithm using variational calculus in combination with a global optimization method. This approach yields very stable results with comprehensible characteristic properties, such as a first phase which reduces ohmic losses in the subsequent pulse phase. We compare the energy loss of these optimal waveforms with the waveforms generated by existing magnetic stimulation devices.

Comparison of coil designs for peripheral magnetic muscle stimulation.

The recent application of magnetic stimulation in rehabilitation is often said to solve key drawbacks of the established electrical method. Magnetic fields cause less pain, allow principally a better penetration of inhomogeneous biologic tissue and do not require skin contact. However, in most studies the evoked muscle force has been disappointing. In this paper, a comparison of a classical round circular geometry, a commercial muscle-stimulation coil and a novel design is presented, with special emphasis on the physical field properties. These systems show markedly different force responses for the same magnetic energy and highlight the enormous potential of different coil geometries. The new design resulted in a slope of the force recruiting curve being more than two and a half times higher than the other coils. The data were analyzed with respect to the underlying physical causes and field conditions. After a parameter-extraction approach, the results for the three coils span a two-dimensional space with clearly distinguishable degrees of freedom, which can be manipulated nearly separately and reflect the two main features of a field; the peak amplitude and its decay with the distance.

Fasciated nerve-muscle explants for in vitro comparison of magnetic and electrical neuromuscular stimulation.

Neuromuscular stimulation has become a central technique for research and clinical efforts in rehabilitation, but available devices still do not show the needed performance in strength and selectivity for this approach. However, the knowledge about the exact intramuscular structure formed by the axons, muscle fibers with their different metabolism types and properties as well as the motoric endplates in between is still too rough for purely theoretical optimization. In this text, we present an experimental setup for parametrized studies of the spatial and temporal degrees of freedom (DOF) in electrical as well as magnetic stimulation. For clarification of the physiologic background, nerve-muscle explants are dissected and kept on life support in a nutrient system with glucose and oxygen supply. The setup provides two-channel EMG signals and a dynamic force signal. The design was adapted to meet the conditions for physical compatibility with magnetic stimulation and allows coil position sweeps with four (three translational and one rotational) DOF. The setup provides access to essential boundary conditions and means to simulate lesions as well as the influence of drugs. Besides with the presented setup, comparisons and even combined application of magnetic and electrical stimulation become possible on the level of the neuromuscular system. Finally, this approach shall help to improve rehabilitation by peripheral stimulation after nerve lesions. The focus of this text lies on the setup and the nutrition which will entail particular studies in the sequel.