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	<title>Linear-quadratic dose response model - Revision history</title>
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	<updated>2026-05-19T11:13:41Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://icrpaedia.org/index.php?title=Linear-quadratic_dose_response_model&amp;diff=2762&amp;oldid=prev</id>
		<title>Chris Clement at 17:48, 26 February 2021</title>
		<link rel="alternate" type="text/html" href="http://icrpaedia.org/index.php?title=Linear-quadratic_dose_response_model&amp;diff=2762&amp;oldid=prev"/>
		<updated>2021-02-26T17:48:01Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 17:48, 26 February 2021&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l10&quot; &gt;Line 10:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 10:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A statistical model that expresses the risk of an effect E (e.g. disease, death, or abnormality) as the sum of two components: one proportional to dose (linear term) and the other proportional to the square of dose (quadratic term).&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A statistical model that expresses the risk of an effect E (e.g. disease, death, or abnormality) as the sum of two components: one proportional to dose (linear term) and the other proportional to the square of dose (quadratic term).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;E=αD+βD&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, where D is dose. For cell survival: S =exp-(αD+βD&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;).&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;''&lt;/ins&gt;E=αD+βD&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;''&lt;/ins&gt;, where D is dose. For cell survival: &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;''&lt;/ins&gt;S =exp-(αD+βD&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;)&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;''&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=== from [[ICRP Publication 103]], 2007 &amp;amp; from [[ICRP Publication 118]], 2012 ===&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=== from [[ICRP Publication 103]], 2007 &amp;amp; from [[ICRP Publication 118]], 2012 ===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A statistical model that expresses the risk of an effect (e.g., disease, death, or abnormality) as the sum of two components, one proportional to dose (linear term) and the other one proportional to the square of dose (quadratic term).&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A statistical model that expresses the risk of an effect (e.g., disease, death, or abnormality) as the sum of two components, one proportional to dose (linear term) and the other one proportional to the square of dose (quadratic term).&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Chris Clement</name></author>
		
	</entry>
	<entry>
		<id>http://icrpaedia.org/index.php?title=Linear-quadratic_dose_response_model&amp;diff=2761&amp;oldid=prev</id>
		<title>Chris Clement: Created page with &quot;link=ICRP Glossary A statistical model that expresses the frequency of an effect (e.g., disease, death, or abnormality) as t...&quot;</title>
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		<updated>2021-02-26T17:46:32Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;&lt;a href=&quot;/File:Glossary_Icon-2.png&quot; title=&quot;File:Glossary Icon-2.png&quot;&gt;100px|frameless|right|link=ICRP Glossary&lt;/a&gt; A statistical model that expresses the frequency of an effect (e.g., disease, death, or abnormality) as t...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;[[File:Glossary Icon-2.png|100px|frameless|right|link=ICRP Glossary]]&lt;br /&gt;
A statistical model that expresses the frequency of an effect (e.g., disease, death, or abnormality) as the sum of two components, one proportional to dose (linear term) and the other one proportional to the square of dose (quadratic term).&lt;br /&gt;
&lt;br /&gt;
'''Return to [[ICRP Glossary|Glossary]]'''&lt;br /&gt;
&lt;br /&gt;
== Previous glossary entries ==&lt;br /&gt;
&lt;br /&gt;
=== from [[ICRP Publication 131]], 2015 ===&lt;br /&gt;
&lt;br /&gt;
A statistical model that expresses the risk of an effect E (e.g. disease, death, or abnormality) as the sum of two components: one proportional to dose (linear term) and the other proportional to the square of dose (quadratic term).&lt;br /&gt;
&lt;br /&gt;
E=αD+βD&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;, where D is dose. For cell survival: S =exp-(αD+βD&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;).&lt;br /&gt;
&lt;br /&gt;
=== from [[ICRP Publication 103]], 2007 &amp;amp; from [[ICRP Publication 118]], 2012 ===&lt;br /&gt;
&lt;br /&gt;
A statistical model that expresses the risk of an effect (e.g., disease, death, or abnormality) as the sum of two components, one proportional to dose (linear term) and the other one proportional to the square of dose (quadratic term).&lt;/div&gt;</summary>
		<author><name>Chris Clement</name></author>
		
	</entry>
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