| name | phase-model-m-current-hippocampal-synchrony |
| description | Phase model analysis methodology for M-current effects on neural synchronization in hippocampal networks - theoretical framework for understanding neuromodulatory control of synchrony |
| authors | ["Megha Manoj","Sue Ann Campbell"] |
| arxiv_id | 2606.12684 |
| published | 2026-06-14T00:00:00.000Z |
| categories | ["q-bio.NC","nlin.AO"] |
| tags | ["phase model","M-current","hippocampal","synchrony","neural oscillations","neuromodulation"] |
| score | 7 |
| status | novel |
Phase Model Analysis of M-Current Effects on Hippocampal Synchrony
Paper: Phase model analysis of the effect of M-current on neural synchrony in hippocampal networks
arXiv: 2606.12684
Authors: Megha Manoj, Sue Ann Campbell
Published: 2026-06-14
Summary
Phase model analysis of M-current effects on neural synchronization in hippocampal networks. Comprehensive theoretical framework examining how muscarinic M-current modulation shapes synchronous activity patterns in hippocampal circuits.
Core Methodology
Phase Model Framework
-
Kuramoto-Type Oscillators
- Neurons as phase oscillators
- Phase variables θ ∈ [0, 2π]
- Coupling through phase interaction functions
-
M-Current Incorporation
- Muscarinic receptor-mediated current
- Modulates phase dynamics
- Affects synchronization properties
-
Hippocampal Network Architecture
- Realistic connectivity patterns
- Local microcircuit structure
- Excitatory-inhibitory balance
Mathematical Analysis
Phase Evolution Equation:
dθ/dt = ω + H(θ) + I_M(θ)
Where:
- θ: neuron phase
- ω: intrinsic frequency
- H(θ): synaptic coupling
- I_M(θ): M-current contribution
Synchronization Metrics
- Order parameter: r = ⟨e^(iθ)⟩
- Phase coherence measures
- Frequency locking analysis
- Critical coupling strengths
Key Findings
M-Current Effects on Synchrony
| Aspect | Effect |
|---|
| Baseline synchrony | Modulates amplitude |
| Frequency | Adjusts oscillation period |
| Phase relationships | Shapes relative timing |
| Network stability | Influences attractor structure |
Neuromodulatory Control
- Enhanced Synchrony: M-current activation → increased coherence
