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The DNA Double Helix
 

The DNA Double Helix

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A mathematical approach to the physical structure.

A mathematical approach to the physical structure.

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    The DNA Double Helix The DNA Double Helix Presentation Transcript

    • The DNA Double Helix a mathematical approach to the physical structure Abhranil Das 08MS34 IISER Kolkata (Freshman 2009)
    • The Double Helix is Skewed
      • The strands of the DNA double helix are not diametrically opposite.
      • So, the distance between them at any cross-section is not equal to, but less than the diameter of the helices.
    • The Helices in Equations
      • The parametric coordinates of the helices, with
      • time as a parameter, are:
      • ( β > α )
    • A Turn of the Helix
      • For each helix, θ increases by 2 π with each turn.
      • The pitch is given by:
    • Finding the Grooves
      • For a given θ , in the first helix,
      • Similarly, for the second helix,
    • Finding the Grooves
      • For minor groove, we need the difference in z between the first θ (n=1) of the two.
    • Finding the Grooves
      • For major groove, we need the difference in z between the first θ (n=1) of strand 1, and second θ (n=2) of strand 2.
    • Sum of the Grooves
      • Minor Groove + Major Groove =
      • = pitch, as derived before.
    • Phase Difference Between the Strands
    • Using Our Result
      • Thank You