Difference between revisions of "DNA Melting: Model function and parameter estimation by nonlinear regression"

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===Model===
 
===Model===
  
<center><math>\frac{\partial \bar{S}}{\partial t} = p f_{Total} </math></center>
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<center><math>\frac{\partial \bar{S}}{\partial t} = p f_{total}(t) </math></center>
  
  
  
 
{{Template:20.309 bottom}}
 
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Revision as of 19:26, 13 November 2012

20.309: Biological Instrumentation and Measurement

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This subject matter will be explained in lecture, in tutorials, and in the lab.


Photobleaching model

Assumptions

  • The dye is divided into two populations, bleached and unbleached, with concentrations S and S
    • The initial dye concentration is S + S
  • Bleached and unbleached molecules bind to dsDNA with the same affinity.
  • Only bound dye molecules may be excited.
  • An excited fluorophore will either bleach with probability p or return to the ground state with probability 1-p.
    • The constant 1-p includes all cases in which a molecule returns to the ground state unbleached.
    • Mechanisms for returning to the ground state include fluorescence, phosphorescence, and non-radiative relaxation.
  • Only excited fluorophore molecules bleach
  • Bleaching is irreversible
  • Magnitude of the illumination is equal to ITotal = IAmbient + ILED, the intensities of ambient light and LED illumination, respectively.
    • Total fluorescence, $ f_{total} $ is proportional to $ I_{total} $
    • The lock-in amplifier only detects the portion of the fluorescence proportional to $ I_{LED} $
    • $ I_{Ambient} $ is approximately constant

Model

$ \frac{\partial \bar{S}}{\partial t} = p f_{total}(t) $