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<!doctype html>
<html>
<head>
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>FiO2 Calculator</title>
<link rel="stylesheet" href="style.css">
<link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/bootstrap@4.5.3/dist/css/bootstrap.min.css"
integrity="sha384-TX8t27EcRE3e/ihU7zmQxVncDAy5uIKz4rEkgIXeMed4M0jlfIDPvg6uqKI2xXr2" crossorigin="anonymous">
<script id="MathJax-script" async src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
</head>
<body>
<header>
<h4>FiO2 Calculator</h4>
<div class="nav">
<ul>
<li>
<a href="aboutUs.html" class="btn btn-secondary" role="button" aria-pressed="true">
About Us
</a>
</li>
</ul>
</div>
</header>
<nav class="navbar navbar-expand navbar-light bg-light">
<div class="collapse navbar-collapse justify-content-center" id="navbarNav">
<ul class="navbar-nav">
<li class="nav-item active">
<a class="nav-link" href="index.html">Home</a>
</li>
<li class="nav-item active">
<div class="dropdown">
<a class="nav-link active dropdown-toggle" type="button" id="dropdownMenuButton" data-toggle="dropdown"
aria-haspopup="true" aria-expanded="false">
Calculators
</a>
<div class="dropdown-menu" aria-labelledby="dropdownMenuButton">
<a class="dropdown-item" href="finer.html">Finer</a>
<a class="dropdown-item" href="bb.html">Benaron-Benitz</a>
<a class="dropdown-item" href="hybrid.html">Hybrid</a>
</div>
</div>
</li>
<li class="nav-item active">
<div class="dropdown">
<a class="nav-link active dropdown-toggle" type="button" id="dropdownMenuButton" data-toggle="dropdown"
aria-haspopup="true" aria-expanded="false">
How it Works
</a>
<div class="dropdown-menu" aria-labelledby="dropdownMenuButton">
<a class="dropdown-item" href="finerHIW.html">Finer</a>
<a class="dropdown-item" href="bbHIW.html">Benaron-Benitz</a>
<a class="dropdown-item" href="hybridHIW.html">Hybrid</a>
</div>
</div>
</li>
</ul>
</div>
</nav>
<div class="page-content">
<h5>More details on Benaron-Benitz:</h5>
<p>
The Benaron-Benitz model implements the formula derived by Benaron DA & Benitz WE, <a
href="https://pubmed.ncbi.nlm.nih.gov/8130865/">Arch Pediatr Adolesc Med., Mar.
1994;148(3):294-300</a> :
</p>
<img class="eq-img" src="bb.png" />
<br />
<p style="line-height: 1.5;">
Here the tidal volume \(V_T = 5.0\times W\) (ml), with weight \(W\) (kg), and the inspiratory rate through the
nose \(\dot V_{nose}=\frac{f_{nose}\times V_T}{T_I}\) (ml/s) with \(f_{nose}\) the fraction of inspiratory
flow which is inspired through the nose and \(T_I\) (s) the inspiratory time.
The atmospheric oxygen concentration (\(F_{atm,O_2}\)) and the nasal cannula concentration (\(F_{nc,O_2}\)) are
both
measured as a percentage of oxygen.
</p>
<p>
This formula is proportional to cannula flow rate and blender percentage (\(B\)), and inversely proportional to
weight through
tidal volume.
</p>
<p>
In the construction of this model, Benaron and Benitz assume a respiratory rate of 65 breaths/min, constant nasal
flow
over the inspiratory cycle and that the upper airway does not act as a reservoir. For their model to be most
accurate to
their empirical measurements, it is recommended to use \(V_T\) = 5.0 ml/kg, \(T_I\) = 0.3 s and \(f_{nose}\) =
0.67, which are the
values used in this implementation.
</p>
<p>
This model is recommended for use for flow rates up to 2000 ml/min as that is the maximum value considered to be
low-flow. It should be noted that respiratory rate is assumed
for all patients so it may be a source of inaccuracy for patients with a respiratory rate much lower (or higher)
than 65 breaths/min.
</p>
<p>If selecting flow rate for the preferred output, the formula above is inverted to solve for \(F\).</p>
</br>
<p>
<b>Note:</b> This Page uses MathJax to display equations under the <a
href="https://github.com/mathjax/MathJax/blob/master/LICENSE">Apache License, Version 2.0</a>.
</p>
<p xmlns:cc="http://creativecommons.org/ns#">This work is licensed under <a
href="http://creativecommons.org/licenses/by-nc-sa/4.0/?ref=chooser-v1" target="_blank"
rel="license noopener noreferrer" style="display:inline-block;">CC BY-NC-SA 4.0<img
style="height:22px!important;margin-left:3px;vertical-align:text-bottom;"
src="https://mirrors.creativecommons.org/presskit/icons/cc.svg?ref=chooser-v1"><img
style="height:22px!important;margin-left:3px;vertical-align:text-bottom;"
src="https://mirrors.creativecommons.org/presskit/icons/by.svg?ref=chooser-v1"><img
style="height:22px!important;margin-left:3px;vertical-align:text-bottom;"
src="https://mirrors.creativecommons.org/presskit/icons/nc.svg?ref=chooser-v1"><img
style="height:22px!important;margin-left:3px;vertical-align:text-bottom;"
src="https://mirrors.creativecommons.org/presskit/icons/sa.svg?ref=chooser-v1"></a></p>
</div>
<script src="https://code.jquery.com/jquery-3.5.1.slim.min.js"
integrity="sha384-DfXdz2htPH0lsSSs5nCTpuj/zy4C+OGpamoFVy38MVBnE+IbbVYUew+OrCXaRkfj"
crossorigin="anonymous"></script>
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integrity="sha384-ho+j7jyWK8fNQe+A12Hb8AhRq26LrZ/JpcUGGOn+Y7RsweNrtN/tE3MoK7ZeZDyx"
crossorigin="anonymous"></script>
</body>
</html>