phase-model-m-current-hippocampal-synchrony

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

1. Kuramoto-Type Oscillators

   • Neurons as phase oscillators
   • Phase variables θ ∈ [0, 2π]
   • Coupling through phase interaction functions

2. M-Current Incorporation

   • Muscarinic receptor-mediated current
   • Modulates phase dynamics
   • Affects synchronization properties

3. 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