By: Sean Cain

1. Rendering Differences Between Three-Dimensional Geometric Objects and Two-Dimensional GeometricObjects Using a DNA Rendering Program Written with the OpenGL Graphics Library By: Sean Cain

2. Goals Create a program able to render B-DNA in three dimensions accurately Determine differences between rendering three-dimensional and two-dimensional geometric objects (lines vs cylinders)

3. Background DNA Forms a double helical structure Purines: Adenine (A) and Guanine (G) Pyrimidines: Cytosine (C) and Thymine (T) Base-pairs Adenine only pairs with Thymine Guanine only pairs with Cytosine Adjacent pairs connected with a sugar phosphate backbone

4. Parameters

5. DNA Rendering Program Tool to render B-DNA in three dimensions Written in C# with OpenGL graphics library Input DNA base abbreviations (A, C, G, or T) Output A double helical strand of DNA based on input

6. Program Issues Different sources for backbone and bases The coordinates don't match up Bases Plotted according to the coordinates in [4] Not all base-pair parameters, step parameters, or local helical parameters were taken into account outside of the provided coordinates

7. Issues cont. Backbone Plotted according to the coordinates in [5] Translations were performed to line up the backbone with the bases Rotations were not performed A source with proper angles between adjacent backbones could not be found Hydrogen atoms not rendered No exact coordinates Bond distance was the only measurement obtained

8. Issues cont.

9. Two-dimensional Geometric Objects Lines – bonds between atoms glBegin(GL_LINES); glVertex(x, y, z); glVertex(x, y, z); glEnd(); No extra operations are required to get proper placement and alignment of lines

10. Three-dimensional Geometric Objects Require a quadric object in OpenGL Quadric objects are defined in [5] by the following quadratic equation a1x2 + a2y2 + a3z2 + a4xy + a5yz + a6zx + a7x + a8y + a9z + a10 = 0

11. Three-dimensional Geometric Objects cont. Cylinder – bonds between atoms gluCylinder( quadric, base, top, height, slices, stacks); Cylinders aren't drawn with endpoints as lines are A function renderCylinder() needed to be created to obtain proper alignment of each cylinder

12. Three-dimensional Geometric Objects cont. Sphere – atoms gluSphere(quadric, radius, slices, stacks); Drawn at the origin Translations required to get proper placement

13. Experimental Setup DNA Rendering Program was modified Added a timer Strands were input before execution to avoid user delay Strands were rendered with lines or cylinders and with or without spheres Each strand was rotated 360° around the z-axis 49 different times The program rotated the strand 1° for every call of the OnPaint() function independently with no user input

14. Results Average timing differences between lines and cylinders with and without spheres are represented in the following graphs

20. Future Work Properly align sugar phosphate backbones Include base-pair, step, and local helical parameters Include different ways for user to input data Mouse translations and rotations Collect more data with different operations Translations

21. Bibliography 1.) Neon Helium Productions". May 06 2010 <http://nehe.gamedev.net/> 2.) CodeGuru". May 06 2010 <http://www.codeguru.com/forum/archive/index.php/t-228231.html> 3.) Olson, Wilma et. al.. "A Standard Reference Frame for the Description of Nucleic Acid Base-pair Geometry". Journal of Molecular Biology 2001: 229-237 4.) Parkinson, G., Vojtechovsky, J., Clowney, L., Brunger, A.T. and Berman H. M. "New parameters for the refinement of nucleic acid-containing structures". Acta. Cryst. D52 1996: 57-64 5.) May 06 2010 <http://www.movesinstitute.org/~mcdowell/mv4202/notes/lect11.pdf> 6.) May 06 2010 <http://www.chemicalgraphics.com/paul/images/DNA/BallAndStick.jpg>

22. Questions?