Research Article Creative Commons, CC-BY

# Nasal Valve Manometry by Differential Pressure Measurements

***Corresponding author:**M Gamerra, ENT Department ASL NA3 Sud, 80053 Castellammare di Stabia (NA), Italy

**Received:**February 7, 2023;**Published:**March 06, 2023

DOI: 10.34297/AJBSR.2023.18.002439

#### Abstract

The effects on air flow of a septum spur, located in the nasal valve, are studied both theoretically and experimentally. The analytic investigation on the differential pressure between two points in the nasal valve has been carried out by means of the Bernoulliโs equation in the limit of stationary, non- dissipative and laminar air flow. On the experimental side, the nose and sinus manometer has been adapted with a double-ended probe to make differential manometry measurements. It can be argued that the differential pressure approach is useful to investigate the fluid dynamical anomalies induced by a nasal septum spur.

#### Introduction

Differential pressure refers to the difference in air pressure from one location to another within a system. Differential pressure between two points in the nose is related to a correct ventilation of the inner cavities by which infections and contaminations can be prevented [1]. The nasal area [2] is a three-dimensional region, that is, a volume delimited by well-defined borders, which can be altered by anatomical anomalies [3]. The rhinologist surgeon aims at modifying and normalizing, in shape and size, the inner nasal contour. Cottle [4] divides the interior of the nasal pyramid into 5 areas: vestibular, valve, attic, anterior and posterior parts of the turbinates and of the choanal opening. Deformations of the Cottle areas and of the related fluid-dynamical resistances can severely affect the respiratory dynamics [5]. In the present work, we analyse the fluid-dynamical effects of deformations in the nasal valve (Figure 1).

#### Differential Pressure Concepts

When describing air flow from point O in the nasal valve to
point A in the nose cavity (see Figure 1) it should be noted that
the pressure gradient p_{A} โ p_{o} is negative, due to the depression
generated by lungs. In this case we can talk about gauge pressure
since point O is at atmospheric pressure. If air flow is considered
laminar, non-viscous and irrotational, but not stationary, Bernoulliโs
theorem for non-stationary fluid flow may be applied. In fact,
under these conditions and in the limit of low velocities, air can be
considered an ideal fluid. The main effect of this pressure gradient
is a difference in the velocities, ๐๐ and ๐๐ด, of the fluid in points O
and A, respectively. In fact, by writing Bernoulliโs equation for nonstationary
fluid flow, we have:

where ๐๐ฅ is the acceleration (assumed to be uniform over the
path along the ๐ฅ-direction (going from O to A) of the fluid and
x = x_{A} โ x_{O} Is the (positive) distance between points O and A. When
inertial effects are neglected and the velocity ๐_{O} is taken equal to
zero, Formula 1 reduces to the following:

So that a constant velocity can be maintained at steady state
at point A of the nasal valve (see figure 2). Let us now consider the
same sector with two different sections of cross-sectional areas ๐_{๐ด}
in ๐ด and ๐_{๐ต} in B, as in Figure 2. We can thus rewrite Equation (2)
also for point B as follows:

**Figure 2:**Two adjacent regions, A and C, separated by a nasal spur in B. Region C consists of two subregions, C1 and C2, with different fluiddynamical
properties

(Figure 2) The differential pressure ฮp_{AB} = ฯ_{B} โ p now be
defined, according to Equation (2) and (3), as follows:

In the case shown in Figure 2, however, ๐_{๐ต} is greater than ๐๐ด. In
fact, point B can be considered a nasal deviation reducing the cross
section in that sector, so that ๐_{๐ด} > ๐_{๐ต}. In fact, by mass conservation

so that

By using Equation (5), we can thus rewrite Equation (4) as follows:Therefore, the highest is the ratio S_{A}/S_{B} the most negative is the
differential pressure ฮ๐. This differential pressure can be measured by means of the nose and sinus manometry using a two- terminal
probe (see Figure 3), fit for getting the values of the pressure in
points ๐ด and ๐ต [5]. Beyond point B, the cross section of the same
sector is equal to ๐_{๐ด}, but with different flow pattern. In fact, the
considered nasal valve anomaly affects air flow properties in points
๐ถ_{1} and ๐ถ_{2}, as shown in Figure 2. Let us then assume that the region
beyond point B is formed by two subregions of cross- sectional
areas Sc1 and ๐๐ถ_{2}, respectively. In this way, by proceeding as in
Equation (6), for ๐ถ_{1} we may set:

Being the flow pattern in ๐ถ1 very similar to that in B, we expect
a very small value of. On the other hand, assuming that we can still
apply Bernoulliโs equation in the region close to point ๐ถ_{2}, we may
write:

having set the velocity ๐๐ถ_{2} close to point ๐ถ_{2} equal to zero.
Therefore, we can summarize these results by saying that the
differential pressure between points ๐ถ_{1} and B is approximately
equal to zero, while the differential pressure between points ๐ถ_{2} and
๐ต is positive. In terms of fluid flow patterns, we may therefore say that air flow velocity in _{๐ถ}1 is almost equal to ๐_{๐ต}, while a stagnation
region is formed around point ๐ถ_{2}.

#### Methods

The work was performed in accordance with the principles of the 1983 Declaration of Helsinki. The study was approved by the local board of medical ethics. Written informed consent was obtained from all participants prior to the inclusion in the study. Twenty non-smoker Caucasian subjects suffering from incomplete nasal valve sub-obstruction were enrolled [6,7]. All of them underwent nasal endoscopy. The sample was homogeneous by age, sex, and body weight (10 M, 10 F; mean age 42.64 ยฑ13.1) (Figure 4). To carry out pressure measurements, we used the DDM-MG1 patented manometer. Technical characteristics of this digital manometer can be obtained in reference. [8,9]. The differential pressure has been measured by means of the nose and sinus manometry using a two-terminals probe (double-ended), spaced apart by 0.5cm, fit for getting the values at the same time in two close points of the nasal valve deviation, for points A-B, B-C1, B-C2 (See Figure 2). The probe was placed in these points under endoscopic guidance. Subjects were asked to breathe through the nose for four seconds slowly and deeply [9-10] while the selected nasal area was checked by video-endoscopy for the entire duration of the examination (see Figure 4). This respiration pattern is adopted to avoid turbulent flow. The manometer was connected to a computer with software for visualization and recording of pressure values. Data supporting this study is included within the article.

#### Results

In Table 1 we report the average peak values of the differential pressure, expressed in mbar. Experimental data for sectors A-B, B-C1, B- C2 were gathered for both groups of patients. We obtained an average peak of the differential pressure of -0,3 mbar for sector A-B, of about 0,0 mbar for sector B-C1 and of +0,1 mbar for sector B-C2 (Table 1).

#### Discussion and Conclusions

Considering the experimental values for the differential pressure between points A and B (second column in Table 1), we notice that they are negative, as predicted by Equation (6). The small values of the pressure gradient allow stationary air flow without generating turbulences. As for the experimental values for the differential pressure between points B and C1 (third column in Table 1), we notice that they are almost equal to zero since the velocity profile does not vary appreciably. Finally, for the experimental values for the differential pressure between points B and C2 (fourth column in Table 1), we notice that they are positive, as predicted by Equation (8), since higher pressure in the stagnation region C2 is present. The differential pressure approach is thus useful to investigate the fluid dynamical phenomena induced by the presence of a nasal valve deviation. In this respect, we notice that the reduced size of the probe allows a pinpoint measurement localized with precision in the chosen valve area, not modifying the anatomy or the air flow pattern during measurements. In this respect, we also mention that the nose-sinus manometry allows us to detect the pressure values at the โcritical pointsโ under investigation in real time. Finally, we may notice that this method can be adopted for any point of the nasal cavity where a septum spur is present. All authors declare that they have no conflicts of interest. This research received no specific grant from any funding agency in the public, commercial, or not-for-profit sectors.

#### Conflict of Interest

No conflict of interest.

#### Acknowledgement

None.

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