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Theoretical Analysis of Transcranial Magneto-Acoustical Stimulation with Hodgkin-Huxley Neuron Model.

Yuan Y, Chen Y, Li X - Front Comput Neurosci (2016)

Bottom Line: However, the effect of TMAS on the neuronal firing pattern remains unknown.The simulation results indicated that the magnetostatic field intensity and ultrasonic power affect the amplitude and interspike interval of neuronal action potential under a continuous wave ultrasound.The simulation results also showed that the ultrasonic power, duty cycle and repetition frequency can alter the firing pattern of neural action potential under pulsed wave ultrasound.

View Article: PubMed Central - PubMed

Affiliation: Department of Automation, Institute of Electrical Engineering, Yanshan University Qinhuangdao, China.

ABSTRACT
Transcranial magneto-acoustical stimulation (TMAS) is a novel stimulation technology in which an ultrasonic wave within a magnetostatic field generates an electric current in an area of interest in the brain to modulate neuronal activities. As a key part of the neural network, neurons transmit information in the nervous system. However, the effect of TMAS on the neuronal firing pattern remains unknown. To address this problem, we investigated the stimulatory mechanism of TMAS on neurons, by using a Hodgkin-Huxley neuron model. The simulation results indicated that the magnetostatic field intensity and ultrasonic power affect the amplitude and interspike interval of neuronal action potential under a continuous wave ultrasound. The simulation results also showed that the ultrasonic power, duty cycle and repetition frequency can alter the firing pattern of neural action potential under pulsed wave ultrasound. This study may help to reveal and explain the biological mechanism of TMAS and to provide a theoretical basis for TMAS in the treatment or rehabilitation of neuropsychiatric disorders.

No MeSH data available.


(A–D) Waveforms of neuronal action potentials generated by TMAS under continuous wave ultrasound with different ultrasonic powers, (A) 1 W/cm2, (B) 10 W/cm2, (C) 60 W/cm2, (D) 100 W/cm2. (E,F). The AMP and ISI of action potentials vs. ultrasonic powers, (E) AMP, (F) ISI.
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Figure 5: (A–D) Waveforms of neuronal action potentials generated by TMAS under continuous wave ultrasound with different ultrasonic powers, (A) 1 W/cm2, (B) 10 W/cm2, (C) 60 W/cm2, (D) 100 W/cm2. (E,F). The AMP and ISI of action potentials vs. ultrasonic powers, (E) AMP, (F) ISI.

Mentions: Next, we evaluated the effect of TMAS on the firing pattern of neuronal action potential under continuous wave ultrasound with various ultrasonic powers. According to the Hopf bifurcation theorem (Wang et al., 2004), if the current density is greater than 9.78 μA/cm2 (corresponding to an ultrasonic power of 0.73 W/cm2), the neuron can generate periodic action potential. Ultrasonic powers from 1 to 100 W/cm2 were used in the simulation to generate action potential. These values were less than 190 W/cm2, which is the maximum recommended limit for diagnostic imaging applications (Nyborg, 2001). The values of the magnetostatic field potential and the ultrasound frequency were 3 T and 500 kHz, respectively. Figures 5A–E shows the waveforms of action potentials with ultrasonic powers of 1, 10, 60, and 100 W/cm2, respectively. The results showed that there was a decrease in the AMP of the action potential, and the ISI decreased as the ultrasonic power increased. The quantitatively calculated results showed that the AMP significantly decreased with the increase in ultrasonic power (Figure 5E). Figure 5F shows the ISI of the action potentials in relation to ultrasonic power. The results showed a dramatically shortened ISI with increasing ultrasonic powers from 1 to 100 W/cm2, after which the narrowing of the ISI range was very limited.


Theoretical Analysis of Transcranial Magneto-Acoustical Stimulation with Hodgkin-Huxley Neuron Model.

Yuan Y, Chen Y, Li X - Front Comput Neurosci (2016)

(A–D) Waveforms of neuronal action potentials generated by TMAS under continuous wave ultrasound with different ultrasonic powers, (A) 1 W/cm2, (B) 10 W/cm2, (C) 60 W/cm2, (D) 100 W/cm2. (E,F). The AMP and ISI of action potentials vs. ultrasonic powers, (E) AMP, (F) ISI.
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Related In: Results  -  Collection

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Figure 5: (A–D) Waveforms of neuronal action potentials generated by TMAS under continuous wave ultrasound with different ultrasonic powers, (A) 1 W/cm2, (B) 10 W/cm2, (C) 60 W/cm2, (D) 100 W/cm2. (E,F). The AMP and ISI of action potentials vs. ultrasonic powers, (E) AMP, (F) ISI.
Mentions: Next, we evaluated the effect of TMAS on the firing pattern of neuronal action potential under continuous wave ultrasound with various ultrasonic powers. According to the Hopf bifurcation theorem (Wang et al., 2004), if the current density is greater than 9.78 μA/cm2 (corresponding to an ultrasonic power of 0.73 W/cm2), the neuron can generate periodic action potential. Ultrasonic powers from 1 to 100 W/cm2 were used in the simulation to generate action potential. These values were less than 190 W/cm2, which is the maximum recommended limit for diagnostic imaging applications (Nyborg, 2001). The values of the magnetostatic field potential and the ultrasound frequency were 3 T and 500 kHz, respectively. Figures 5A–E shows the waveforms of action potentials with ultrasonic powers of 1, 10, 60, and 100 W/cm2, respectively. The results showed that there was a decrease in the AMP of the action potential, and the ISI decreased as the ultrasonic power increased. The quantitatively calculated results showed that the AMP significantly decreased with the increase in ultrasonic power (Figure 5E). Figure 5F shows the ISI of the action potentials in relation to ultrasonic power. The results showed a dramatically shortened ISI with increasing ultrasonic powers from 1 to 100 W/cm2, after which the narrowing of the ISI range was very limited.

Bottom Line: However, the effect of TMAS on the neuronal firing pattern remains unknown.The simulation results indicated that the magnetostatic field intensity and ultrasonic power affect the amplitude and interspike interval of neuronal action potential under a continuous wave ultrasound.The simulation results also showed that the ultrasonic power, duty cycle and repetition frequency can alter the firing pattern of neural action potential under pulsed wave ultrasound.

View Article: PubMed Central - PubMed

Affiliation: Department of Automation, Institute of Electrical Engineering, Yanshan University Qinhuangdao, China.

ABSTRACT
Transcranial magneto-acoustical stimulation (TMAS) is a novel stimulation technology in which an ultrasonic wave within a magnetostatic field generates an electric current in an area of interest in the brain to modulate neuronal activities. As a key part of the neural network, neurons transmit information in the nervous system. However, the effect of TMAS on the neuronal firing pattern remains unknown. To address this problem, we investigated the stimulatory mechanism of TMAS on neurons, by using a Hodgkin-Huxley neuron model. The simulation results indicated that the magnetostatic field intensity and ultrasonic power affect the amplitude and interspike interval of neuronal action potential under a continuous wave ultrasound. The simulation results also showed that the ultrasonic power, duty cycle and repetition frequency can alter the firing pattern of neural action potential under pulsed wave ultrasound. This study may help to reveal and explain the biological mechanism of TMAS and to provide a theoretical basis for TMAS in the treatment or rehabilitation of neuropsychiatric disorders.

No MeSH data available.