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        <title>Time-Resolved Fluorescence Wiki</title>
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       <dc:date>2026-04-23T01:18:40+00:00</dc:date>
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                <rdf:li rdf:resource="https://www.tcspc.com/doku.php/glossary:fcs?rev=1421938515&amp;do=diff"/>
                <rdf:li rdf:resource="https://www.tcspc.com/doku.php/glossary:marquardt-levenberg?rev=1423586073&amp;do=diff"/>
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        <title>Time-Resolved Fluorescence Wiki</title>
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    <item rdf:about="https://www.tcspc.com/doku.php/glossary:fcs?rev=1421938515&amp;do=diff">
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        <dc:date>2015-01-22T14:55:15+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>fcs</title>
        <link>https://www.tcspc.com/doku.php/glossary:fcs?rev=1421938515&amp;do=diff</link>
        <description>&lt;table&gt;&lt;tr&gt;&lt;th colspan=&quot;2&quot; width=&quot;50%&quot;&gt;2026/04/23 01:18&lt;/th&gt;&lt;th colspan=&quot;2&quot; width=&quot;50%&quot;&gt;current&lt;/th&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td class=&quot;diff-blockheader&quot; colspan=&quot;2&quot;&gt;Line 1:&lt;/td&gt;
&lt;td class=&quot;diff-blockheader&quot; colspan=&quot;2&quot;&gt;Line 1:&lt;/td&gt;
&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&quot;diff-lineheader&quot;&gt;+&lt;/td&gt;&lt;td class=&quot;diff-addedline&quot;&gt;====== Fluorescence Correlation Spectroscopy (FCS) ======&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&quot;diff-lineheader&quot;&gt;+&lt;/td&gt;&lt;td class=&quot;diff-addedline&quot;&gt;Fluorescence correlation spectroscopy (FCS) is a correlation analysis of fluctuation of the fluorescence intensity. The analysis provides parameters of the physics under the fluctuations. One of the interesting applications of this is an analysis of the concentration fluctuations of fluorescent particles (molecules) in solution. In this application, the fluorescence emitted from a very tiny space in solution containing a small number of fluorescent particles (molecules) is observed. The fluorescence intensity is fluctuating due to Brownian motion of the particles. In other words, the number of the particles in the sub-space defined by the optical system is randomly changing around the average number. The analysis gives the average number of fluorescent particles and average diffusion time, when the particle is passing through the space. Eventually, both the concentration and size of the particle (molecule) are determined. Both parameters are important in biochemical research, biophysics, and chemistry.(([[http://en.wikipedia.org/wiki/Fluorescence_correlation_spectroscopy]]))&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-lineheader&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&quot;diff-context&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-lineheader&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&quot;diff-context&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
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&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&quot;diff-lineheader&quot;&gt;+&lt;/td&gt;&lt;td class=&quot;diff-addedline&quot;&gt;see [[general:fluorescence_correlation_spectroscopy-_a_short_introduction|Introduction to Fluorescence Correlation Spectroscopy]].&lt;/td&gt;&lt;/tr&gt;
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    <item rdf:about="https://www.tcspc.com/doku.php/glossary:marquardt-levenberg?rev=1423586073&amp;do=diff">
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        <dc:date>2015-02-10T16:34:33+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>marquardt-levenberg</title>
        <link>https://www.tcspc.com/doku.php/glossary:marquardt-levenberg?rev=1423586073&amp;do=diff</link>
        <description>&lt;table&gt;&lt;tr&gt;&lt;th colspan=&quot;2&quot; width=&quot;50%&quot;&gt;2014/01/21 16:37&lt;/th&gt;&lt;th colspan=&quot;2&quot; width=&quot;50%&quot;&gt;current&lt;/th&gt;&lt;/tr&gt;&lt;tr&gt;&lt;td class=&quot;diff-blockheader&quot; colspan=&quot;2&quot;&gt;Line 1:&lt;/td&gt;
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&lt;tr&gt;&lt;td class=&quot;diff-lineheader&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&quot;diff-context&quot;&gt;====== Marquardt-Levenberg ======&lt;/td&gt;&lt;td class=&quot;diff-lineheader&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&quot;diff-context&quot;&gt;====== Marquardt-Levenberg ======&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-lineheader&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&quot;diff-context&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-lineheader&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&quot;diff-context&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-lineheader&quot;&gt;-&lt;/td&gt;&lt;td class=&quot;diff-deletedline&quot;&gt;The Marquardt-Levenberg method is a means of optimising parameters in a least squares fit. It is used in our [[FluoFit]], [[SymPhoTime]] and a variety of other products (online-Fitting, FluoLib...).&lt;/td&gt;&lt;td class=&quot;diff-lineheader&quot;&gt;+&lt;/td&gt;&lt;td class=&quot;diff-addedline&quot;&gt;The Marquardt-Levenberg method is a means of optimising parameters in a least squares fit. It is used in our [[&lt;strong class=&quot;diff-mark&quot;&gt;software:&lt;/strong&gt;FluoFit]], [[&lt;strong class=&quot;diff-mark&quot;&gt;software:&lt;/strong&gt;SymPhoTime]] and a variety of other products (online-Fitting, FluoLib...).&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-lineheader&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&quot;diff-context&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-lineheader&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&quot;diff-context&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-lineheader&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&quot;diff-context&quot;&gt;Basically it works by examining how changes of a certain parameter affect the residuals trace, that means, it calculates a pointwise gradient of the residuals trace for each parameter. Marquard-Levenberg optimisation is fairly efficient and is regarded as state-of-the-art in least squares fitting.&lt;/td&gt;&lt;td class=&quot;diff-lineheader&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class=&quot;diff-context&quot;&gt;Basically it works by examining how changes of a certain parameter affect the residuals trace, that means, it calculates a pointwise gradient of the residuals trace for each parameter. Marquard-Levenberg optimisation is fairly efficient and is regarded as state-of-the-art in least squares fitting.&lt;/td&gt;&lt;/tr&gt;
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