Automated determination of interhelical angles for protein alpha helices from coordinate data Robert Fraser, James Stewart, Janice Glasgow Queen's University.

Slides:



Advertisements
Similar presentations
What is similar about these objects?
Advertisements

What is similar about these objects?
Do Now:.
Protein Planes Bob Fraser CSCBC Overview Motivation Points to examine Results Further work.
Torque. A Comparison Which of the following do you think is easier to hold in place? 1 m 1 kg 1 m 1 kg hand Why would one be easier than the other? They.
Torque Rotational Motion. Torque  Forces that cause objects to rotate  Two Characteristics that contribute to the effectiveness of torque: Magnitude.
REFLECTIONS, ROTATIONS AND TRANSLATIONS. Reflections.
A n g l e s a n d T h e i r M e a s u r e. An angle is formed by joining the endpoints of two half-lines called rays. The side you measure from is called.
A PEPTIDE BOND PEPTIDE BOND Polypeptides are polymers of amino acid residues linked by peptide group Peptide group is planar in nature which limits.
A demonstration of clustering in protein contact maps for α-helix pairs Robert Fraser, University of Waterloo Janice Glasgow, Queen’s University.
4-1.  Thinking about angles differently:  Rotating a ray to create an angle  Initial side - where we start  Terminal side - where we stop.
5.1 Angles and Degree Measure. Angle- formed by rotating a ray about its endpoint (vertex) Initial Side Starting position Terminal SideEnding position.
Geometry Ch 12 Review Jeopardy Definitions Name the transformation Transform it!Potpourri Q $200 Q $400 Q $600 Q $800 Q $1000 Q $200 Q $400 Q $600 Q $800.
Trigonometry The science of studying angle measure.
Rotations Geometry Unit 7, Lesson 3 Mrs. King. What is a Rotation? Definition: A turn. Example?
Rotations. Graph the following coordinates, then connect the dots (2, 1) (4,1) (2, 5) X y Rotate the triangle 90° clockwise about the origin and graph.
ROTATIONS Review Mrs. Erickson Rotations Like the steering wheel of a car Fixed point in the center, everything else turns You get the same picture,
 Structures. Source: Introduction to Protein Structure by Branden & Tooze Coiled-coil structure- knob in hole.
Warm up What type of transformation is shown? Write the algebraic representation. Write the coordinates of the original triangle after reflection over.
7.1 Angles & Triangles. Angles Positive Angle Counterclockwise rotation Negative Angle Clockwise rotation  
Transformations Objective: to develop an understanding of the four transformations. Starter – if 24 x 72 = 2016, find the value of: 1)2.8 x 72 = 2)2.8.
Radians and Degrees. What the heck is a radian? The radian is a unit of angular measure defined such that an angle of one radian subtended from the center.
Rotation On a coordinate grid. For a Rotation, you need An angle or fraction of a turn –Eg 90° or a Quarter Turn –Eg 180° or a Half Turn A direction –Clockwise.
13-2 Angles of Rotation Warm Up Lesson Presentation Lesson Quiz
Transformations on the Coordinate Plane: Translations and Rotations.
Rotation Around a Point. A Rotation is… A rotation is a transformation that turns a figure around a fixed point called the center of rotation. A rotation.
Lesson 5 Definition of Rotation and Basic Properties
Rotations on the Coordinate Plane. Horizontal- left and right.
Complex Numbers. a + bi Is a result of adding together or combining a real number and an imaginary number a is the real part of the complex number. bi.
Editable Transformations Slide Show With Movement.
Homework Log Fri 2/12 Lesson 7 – 1 Learning Objective: To find angle measurements Hw: #701 Pg. 385 #1 – 39 odd.
Day 4 Special right triangles, angles, and the unit circle.
Counterclockwise Turning Effect Clockwise Turning Effect In our last lab we found that the “turning effect” depends on the force and the lever arm. Where.
Symmetry Section 9.6. Line Symmetry  A figure in the plane has line symmetry if the figure can be mapped onto itself by a reflection in a line.  This.
HONORS GEOMETRY 9.3. Rotations. Do Now: Complete the do now given to you when you entered class today.
13-2 ANGLES AND THE UNIT CIRCLE FIND ANGLES IN STANDARD POSITION BY USING COORDINATES OF POINTS ON THE UNIT CIRCLE.
Measures of Angles and Rotations. Vocabulary Degrees  360 degrees makes a full circle  270 degrees makes a three quarter circle  180 degrees makes.
Lesson 13.2 Define General Angles and Use Radian Measure.
REVIEW OF MAPPING RULES
Coordinate Algebra Practice EOCT Answers Unit 5.
TRIGONOMETRY AND THE UNIT CIRCLE SEC LEQ: How can you use a unit circle to find trigonometric values?
7.6 Rotations & Rotational
Find the coordinates of A(3, 2) reflected across the x-axis.
Coordinate Algebra Practice EOCT Answers Unit 5.
11.4 Rotations 1/12/17.
9.3 Rotations Then: You identified rotations and verified them as congruence transformations. Now: You will draw rotations in the coordinate plane.
Find the coordinates of A(3, 2) reflected across the x-axis.
Find the coordinates of A(3, 2) reflected in the line y = 1.

Asus Computer Support Phone Number
Unit 1 Transformations in the Coordinate Plane
Protein Planes Bob Fraser CSCBC 2007.
ROTATION ROTATION ROTATION ROTATION ROTATION Pamela Leutwyler.
Find the coordinates of A(3, 2) reflected across the x-axis.
Warm up A function is even. Point A(-3, 4) is on the even function. Name another point. A function is even. Point B(9, 2) is on the even function.
Success Starter for 8/23/17 Rotate A(12, -4) 180 degrees.
Crystal Structure of C-Phycocyanin from Cyanidium caldarium Provides a New Perspective on Phycobilisome Assembly  Boguslaw Stec, Robert F. Troxler, Martha.
Rotation On a coordinate grid.
9-3 Rotations on the Coordinate Plane
Structural Determinants of Transmembrane Helical Proteins
Geometry Ch 12 Review Jeopardy
Core Structure of gp41 from the HIV Envelope Glycoprotein
9-3 Rotations on the Coordinate Plane
Rotations.
Rotations Day 120 Learning Target:
Robert Fraser, University of Waterloo
Let’s start an intro unit to Geometry!!
4.3 Rotations.
Coordinate Algebra Practice EOCT Answers Unit 5.
Presentation transcript:

Automated determination of interhelical angles for protein alpha helices from coordinate data Robert Fraser, James Stewart, Janice Glasgow Queen's University School of Computing, Kingston, ON

Protein Structure Contact Maps Helix Packing Models Proposed Method Results

The HUGE picture Sequence  Structure Structure  Function I’m working on a tiny bit of the first step

Protein Structure Different levels of structure We’re interested in alpha helices Used with permission from Petsko, G.A. and D. Ringe, Protein Structure and Function, 2004

Contact Maps Distance map represents full 3D structure Contact map is a binary version 10Ǻ threshold used here

Knobs and Holes Steric surface of the molecule

Two surfaces to a helix

Sign is important

Angle method if (d a × d b ) · (b 0 – a 0 ) > 0 then the top vector is rotated clockwise else the top vector is rotated counter-clockwise Clockwise  negative sign

Comparison to observed values

Results 4.1° +/- 3.2° of observed data 3.6° +/- 1.9° after removing an outlier

Acknowledgements Kelly Fraser Janice Glasgow James Stewart Henk Meijer Mehdi Hedjazi Alan Ableson Eduardo Zuviria Tony Kuo

Thank you Questions?