Related Experiment Video
Updated: Sep 30, 2026

Three-Dimensional Phase Resolved Functional Lung Magnetic Resonance Imaging
Published on: June 21, 2024
Effects of inspiratory waveform, inspiratory time, and pause on compartmental energy partitioning in a heterogeneous
Tomasz Urbankowski1, Emilia Urbankowska2, Marek Darowski1
1Department of Modeling and Supporting of Internal Organs Functions, Nalecz Institute of Biocybernetics and Biomedical Engineering, Polish Academy of Sciences, ul. Ks. Trojdena 4, 02-109 Warsaw, Poland.
Abstract:
In mechanically heterogeneous respiratory systems, the temporal pattern of inspiratory flow may influence how airway-opening work is partitioned between mechanically distinct compartments, independently of global mechanical power (MP). Using a simplified time-resolved two-compartment model with common airway-opening pressure, we investigated whether inspiratory waveform, inspiratory time, and end-inspiratory pause affect model-derived compartmental airway-level energy routing, including cases matched for global MP. Mechanical heterogeneity was introduced by varying compliance and resistance ratios across a 61 × 61 grid. Volume-controlled simulations included three waveforms, three inspiratory times, and two pause conditions, yielding 66,978 simulations. Global MP, compartment-specific inspiratory energy, the Partition Index (PI), and the Energy Inequality Index (EII) were calculated. MP ranged from 1.75 to 13.55 J/min, PI from 0.13 to 0.80, and EII from 0.00 to 0.74. Increasing asymmetry shifted the model-derived fraction of airway-level energy routed between compartments. Waveform, inspiratory time, and pause also altered compartmental energy routing when mechanical properties were unchanged. Across pairs matched for global MP, sensitivity analyses using 1-10 % tolerances yielded median absolute PI differences of 0.072-0.073, 95th-percentile differences of 0.239-0.241, and maximum differences of 0.488-0.519. Similar global MP may therefore coexist with substantially different model-derived compartmental energy-routing patterns. Given the simplified two-compartment structure of the model, PI should be interpreted solely as a model-derived descriptor of relative airway-level energy routing, not as a direct tissue-level metric or surrogate of stress, strain, energy dissipation, or regional lung injury risk. These mechanistic, hypothesis-generating findings warrant testing in higher-fidelity, experimental, and patient-specific models.
Related Concept Videos
Compartment Models: Two-Compartment Model
Compartment Models: Single-Compartment Model
Application of Integration: Problem Solving
Three-Compartment Open Model
Two-Compartment Open Model: Extravascular Administration
The absorption exponent (ka) indicates the speed at which the drug is...
Model Approaches for Pharmacokinetic Data: Compartment Models
Two primary types of compartment models are recognized: mammillary and catenary. The more...

