A Mathematical Characterization of Neural Activation Induced by Temporal Interference Stimulation
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917502819237888 |
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| author | Paduro, Esteban Chaillet, Antoine Sigalotti, Mario |
| author_facet | Paduro, Esteban Chaillet, Antoine Sigalotti, Mario |
| contents | Temporal Interference Stimulation (TIS) is a non-invasive neuromodulation technique in which two high-frequency sinusoidal currents with slightly different frequencies generate a low-frequency envelope that can activate deep neural structures. This study investigates the conditions under which TIS elicits action potentials in a single neuron modeled by the FitzHugh-Nagumo system. This research integrates phase-plane analysis and geometric singular perturbation to develop a mathematical framework for analyzing TIS. By combining a mathematical analysis of differential equations with computer simulations, the study elucidates how the amplitudes and beat frequency jointly determine whether the neuron remains quiescent, exhibits only transient responses, or undergoes persistent (tonic) firing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_16761 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A Mathematical Characterization of Neural Activation Induced by Temporal Interference Stimulation Paduro, Esteban Chaillet, Antoine Sigalotti, Mario Dynamical Systems Neurons and Cognition 37N25, 92-10 Temporal Interference Stimulation (TIS) is a non-invasive neuromodulation technique in which two high-frequency sinusoidal currents with slightly different frequencies generate a low-frequency envelope that can activate deep neural structures. This study investigates the conditions under which TIS elicits action potentials in a single neuron modeled by the FitzHugh-Nagumo system. This research integrates phase-plane analysis and geometric singular perturbation to develop a mathematical framework for analyzing TIS. By combining a mathematical analysis of differential equations with computer simulations, the study elucidates how the amplitudes and beat frequency jointly determine whether the neuron remains quiescent, exhibits only transient responses, or undergoes persistent (tonic) firing. |
| title | A Mathematical Characterization of Neural Activation Induced by Temporal Interference Stimulation |
| topic | Dynamical Systems Neurons and Cognition 37N25, 92-10 |
| url | https://arxiv.org/abs/2605.16761 |