Computational modeling of neurons: intensity-duration relationship of extracellular electrical stimulation for changes in intracellular calcium

A Compact Circuit for Boosting Electric Field Intensity in Repetitive Transcranial Magnetic Stimulation (rTMS)

The concept of a portable, wearable system for repetitive transcranial stimulation (rTMS) has attracted widespread attention, but significant power and field intensity requirements remain a key challenge. Here, a circuit topology is described that significantly increases induced electric field intensity over that attainable with similar current levels and coils in conventional rTMS systems. The resultant electric field is essentially monophasic, and has a controllable, shortened duration. The system is demonstrated in a compact circuit implementation for which an electric field of 94 V/m at a depth of 2 cm is measured (147 V/m at 1 cm depth) with a power supply voltage of 80 V, a maximum current of 500 A, and an effective pulse duration (half amplitude width) of 7 µsec. The peak electric field is on the same order as that of commercially available systems at full power and comparable depths. An electric field boost of 5x is demonstrated in comparison with our system operated conventionally, employing a 70 µsec rise time. It is shown that the power requirements for rTMS systems depend on the square of the product of electric field Ep and pulse duration tp, and that the proposed circuit technique enables continuous variation and optimization of the tradeoff between Ep and tp. It is shown that the electric field induced in a medium such as the human brain cortex at a specific depth is proportional to the voltage generated in a given loop of the generating coil, which allows insights into techniques for its optimization. This rTMS electric field enhancement strategy, termed 'boost rTMS (rbTMS)' is expected to increase the effectiveness of neural stimulation, and allow greater flexibility in the design of portable rTMS power systems.Clinical Relevance- This study aims to facilitate a compact, battery-powered rTMS prototype with enhanced electric field which will permit broader and more convenient rTMS treatment at home, in a small clinic, vessel, or field hospital, and potentially, on an ambulatory basis.

Gelatin hydrogel membrane containing carbonate hydroxyapatite for nerve regeneration scaffold

A scaffold that mimics physicochemical structure of nerve and supplies calcium ions in axonal environment is an attractive alternative for nerve regeneration, especially when applied in critical nerve defect. Various scaffold material, design, including their combination with several growth-induced substances and cells application have been being investigated and used in the area of nerve tissue engineering. However, the development remains challenges today because they are still far from ideal concerning their stability, reproducibility, including complicated handling related to the poor mechanical strength. In view of the current basis, in this study, the introduction of carbonated hydroxyapatite (CHA) as promising candidate to increase mechanical properties of nerve scaffold is reported. The incorporation of CHA was not only expected to provide better mechanical properties of the scaffold. Under physiological condition, CHA is known to be the most stable phases of calcium phosphate compound. Therefore, CHA was expected to provide controlled release calcium for better axonal environment and promote fasten nerve regeneration. This study shows that CHA incorporated gelatin membrane has ideal microstructure to prevent fibrous tissue ingrowth into the injury site, while retaining its capability to survive nerve tissue by allowing adequate glucose and specific proteins diffusion. The provided Ca²⁺ release to the environment promoted neuronal growth, without suppressing acetylcholine esterase release activity. Neurite elongation was dramatically higher in the gelatin membrane incorporated with CHA. Introduction of CHA into gelatin membrane represents a new generation medical device for nerve reconstruction, with CHA was considered as a promising factor.

Anastomotic stoma coated with chitosan film as a betamethasone dipropionate carrier for peripheral nerve regeneration

Scar hyperplasia at the suture site is an important reason for hindering the repair effect of peripheral nerve injury anastomosis. To address this issue, two repair methods are often used. Biological agents are used to block nerve sutures and the surrounding tissue to achieve physical anti-adhesion effects. Another agent is glucocorticosteroid, which can prevent scar growth by inhibiting inflammation. However, the overall effect of promoting regeneration of the injured nerve is not satisfactory. In this regard, we envision that these two methods can be combined and lead to shared understanding for achieving improved nerve repair. In this study, the right tibial nerve was transected 1 cm above the knee to establish a rat tibial nerve injury model. The incision was directly sutured after nerve transection. The anastomotic stoma was coated with 0.5 × 0.5 cm2 chitosan sheets with betamethasone dipropionate. At 12 weeks after injury, compared with the control and poly (D, L-lactic acid) groups, chitosan-betamethasone dipropionate film slowly degraded with the shape of the membrane still intact. Further, scar hyperplasia and the degree of adhesion at anastomotic stoma were obviously reduced, while the regenerated nerve fiber structure was complete and arranged in a good order in model rats. Electrophysiological study showed enhanced compound muscle action potential. Our results confirm that chitosan-betamethasone dipropionate film can effectively prevent local scar hyperplasia after tibial nerve repair and promote nerve regeneration.

Validation of electrical stimulation models: intracellular calcium measurement in three-dimensional scaffolds

Peripheral nerve injury can be disabling. Regeneration is limited by the rate of axonal extension, and proximal injury to peripheral nerves can take over a year to reach target organs. Electrical stimulation (ES) has been shown to increase the rate of neurite growth, though the mechanism is not yet well understood. In our prior manuscript, we developed a computational model that demonstrates how ES can functionally elevate intracellular calcium concentration ([Ca²⁺]_i) based on ES intensity and duration. In this article, we validate the computation model for the [Ca²⁺]_i changes in neuron soma. Embryonic chicken dorsal root ganglion cells were suspended in 3-dimensional collagen scaffolds. Fura-2 was used to measure [Ca²⁺]_i in response to biphasic ES pulses ranging from 70 to 60,000 V/m in intensity and from 10 µs to 100 ms in duration. The computational model most closely matched the experimental data of the neurons with the highest [Ca²⁺]_i elevation for ES pulses 100 µs or greater in duration. Nickel (200 µM) and cadmium (200 µM) blocked 98-99% of the [Ca²⁺]_i rise, indicating that the rise in [Ca²⁺]_i in response to ES is via voltage-dependent calcium channels. The average [Ca²⁺]_i rise in response to ES was about one-tenth of the peak rise. Therefore, the computational model is validated for elevating [Ca²⁺]_i of neurons and can be used as a tool for designing efficacious ES protocols for improving neuronal regeneration.NEW & NOTEWORTHY Electrical stimulation is used to enhance neuron growth, and the role of neuronal intracellular calcium concentration ([Ca²⁺]_i) is an area of research interest. Widely varying stimulation parameters in the literature make it difficult to compare stimulation protocols. The results in this manuscript are the first to show neuronal [Ca²⁺]_i in response to a broad and defined range of electrical pulse durations and intensities. These results validate our previously published novel computational model of [Ca²⁺]_i.