Multiple timescale dynamics of conductance-based models of brainstem locomotor neurons
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866917334687416320 |
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| author | Thomas, Anna Kishida Rubin, Jonathan E. |
| author_facet | Thomas, Anna Kishida Rubin, Jonathan E. |
| contents | The pedunculopontine nucleus (PPN) is a heterogeneous brainstem locomotor hub implicated in Parkinson's disease and potentially relevant for its treatment. We propose single-compartment, conductance-based models for three classes of PPN neurons, such that each model reproduces relevant experimentally observed stimulus-dependent responses, including post-inhibitory rebound dynamics, transient low-threshold activity, and gamma band oscillations. To understand the mechanisms underlying these transient responses to current stimulation, we leverage the models' intrinsic multi-timescale structure and apply dynamical system methods designed for multiple timescale systems. By separating fast membrane and channel-gating dynamics from slower gating and calcium processes, we identify specific ionic mechanisms underlying hallmark dynamics across cell types. We also generate new predictions about PPN behavior under a post-inhibitory facilitation protocol. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_11467 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Multiple timescale dynamics of conductance-based models of brainstem locomotor neurons Thomas, Anna Kishida Rubin, Jonathan E. Dynamical Systems 37N25, 92C20, 34E13, 34E15 The pedunculopontine nucleus (PPN) is a heterogeneous brainstem locomotor hub implicated in Parkinson's disease and potentially relevant for its treatment. We propose single-compartment, conductance-based models for three classes of PPN neurons, such that each model reproduces relevant experimentally observed stimulus-dependent responses, including post-inhibitory rebound dynamics, transient low-threshold activity, and gamma band oscillations. To understand the mechanisms underlying these transient responses to current stimulation, we leverage the models' intrinsic multi-timescale structure and apply dynamical system methods designed for multiple timescale systems. By separating fast membrane and channel-gating dynamics from slower gating and calcium processes, we identify specific ionic mechanisms underlying hallmark dynamics across cell types. We also generate new predictions about PPN behavior under a post-inhibitory facilitation protocol. |
| title | Multiple timescale dynamics of conductance-based models of brainstem locomotor neurons |
| topic | Dynamical Systems 37N25, 92C20, 34E13, 34E15 |
| url | https://arxiv.org/abs/2603.11467 |