Abstract

PurposeState-of-the-art medical examination techniques (e.g., rhinomanometry and endoscopy) do not always lead to satisfactory postoperative outcome. A fully automatized optimization tool based on patient computer tomography (CT) data to calculate local pressure gradient regions to reshape pathological nasal cavity geometry is proposed.MethodsFive anonymous pre- and postoperative CT datasets with nasal septum deviations were used to simulate the airflow through the nasal cavity with lattice Boltzmann (LB) simulations. Pressure gradient regions were detected by a streamline analysis. After shape optimization, the volumetric difference between the two shapes of the nasal cavity yields the estimated resection volume.ResultsAt LB rhinomanometry boundary conditions (bilateral flow rate of 600 ml/s), the preliminary study shows a critical pressure gradient of −1.1 Pa/mm as optimization criterion. The maximum coronal airflow ΔA := cross-section ratio frac{mathrm{virtual surgery }}{mathrm{post}-mathrm{surgery}} found close to the nostrils is 1.15. For the patients a pressure drop ratio ΔΠ := (pre-surgery − virtual surgery)/(pre-surgery − post-surgery) between nostril and nasopharynx of 1.25, 1.72, −1.85, 0.79 and 1.02 is calculated.ConclusionsLB fluid mechanics optimization of the nasal cavity can yield results similar to surgery for air-flow cross section and pressure drop between nostril and nasopharynx. The optimization is numerically stable in all five cases of the presented study. A limitation of this study is that anatomical constraints (e.g. mucosa) have not been considered.

Highlights

  • Structural deformities within the human nasal cavity frequently cause nasal obstruction

  • lattice Boltzmann (LB) fluid mechanics optimization of the nasal cavity can yield results similar to surgery for air-flow cross section and pressure drop between nostril and nasopharynx

  • The optimization is numerically stable in all five cases of the presented study

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Summary

Introduction

Structural deformities within the human nasal cavity (e.g. septal deviation) frequently cause nasal obstruction. Functional nasal surgery is planned, based on the surgeon’s experience, using state-of-the-art investigation technique including 4-phase rhinomanometry [1]. Rhinomanometry allows separate measurements of left and right nasal cavities of the pressure drop between nostril and nasopharynx at various flow rates, without information about the site of obstruction [2]. Computational fluid dynamic simulations (CFD) based on the finite volume method (FVM) and lattice Boltzmann (LB) are nowadays performed on graphical processing units (GPU) in reasonable time [5, 6]. CFD of the nasal airflow is often based on FVM with complex meshing [7]. LB features stable computation [8] for small Reynolds numbers [9]. Both simulation approaches were recently validated experimentally in [10, 11]

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