A network model of respiratory rhythmogenesis

Area of Science:

• Neuroscience
• Computational Biology
• Physiology

Background:

• The respiratory network's complex dynamics have been studied using mathematical models.
• Richter et al. proposed a three-phase respiratory network model in 1986.

Purpose of the Study:

• To develop and examine a mathematical model of the three-phase respiratory network.
• To validate the model against experimental data on neuronal membrane potentials and phase-resetting behavior.
• To investigate the model's capacity to reproduce various respiratory rhythms and their termination.

Main Methods:

• Developed a mathematical model of the three-phase respiratory network.
• Simulated neuronal membrane potential trajectories.
• Applied stepwise parameter changes to alter rhythm dynamics.
• Introduced perturbing stimuli to assess phase-resetting behavior.
• Simulated input from the superior laryngeal nerve.

Main Results:

• The model accurately reproduced experimentally determined membrane potential trajectories for five distinct neuron types.
• Parameter alterations generated two-phase rhythms, apnea, or complex firing patterns.
• Model phase-resetting behavior closely matched experimental data.
• Phase singularity properties made rhythm termination by perturbation nearly impossible.
• Simulated superior laryngeal nerve input locked the rhythm in the postinspiratory phase.

Conclusions:

• The model's results align with experimental observations.
• The findings support the concept of a network oscillator as the source of the respiratory rhythm.
• The model serves as a valuable tool for understanding respiratory control mechanisms.