Determination of the contact point in force curves.

Slides:



Advertisements
Similar presentations
The Simple Linear Regression Model Specification and Estimation Hill et al Chs 3 and 4.
Advertisements

Regression Greg C Elvers.
Regression, Correlation. Research Theoretical empirical Usually combination of the two.
Curve fit metrics When we fit a curve to data we ask: –What is the error metric for the best fit? –What is more accurate, the data or the fit? This lecture.
Statistics 350 Lecture 16. Today Last Day: Introduction to Multiple Linear Regression Model Today: More Chapter 6.
Use Inequalities in A Triangle
Linear Regression Least Squares Method: the Meaning of r 2.
Correlation & Regression – Non Linear Emphasis Section 3.3.
Linear Regression Least Squares Method: an introduction.
Curve-Fitting Regression
Is this a square or a pentagon? It is a square.
Assignment (1) WEEK 3.
Exercises Graph the following functions. Solutions will follow the exercises.
Linear Prediction Correlation can be used to make predictions – Values on X can be used to predict values on Y – Stronger relationships between X and Y.
Method 3: Least squares regression. Another method for finding the equation of a straight line which is fitted to data is known as the method of least-squares.
Dan, Phoenix, Carl.  Several ways you can model  Polynomial functions, linear functions, splines.
Global predictors of regression fidelity A single number to characterize the overall quality of the surrogate. Equivalence measures –Coefficient of multiple.
Welcome to Calculating the line of best fit for data (linear regression) Claude Zanardo.
Global predictors of regression fidelity A single number to characterize the overall quality of the surrogate. Equivalence measures –Coefficient of multiple.
From: Discovery of carbon-rich Miras in the Galactic bulge
Least Common Multiple.
Cross-validation for detecting and preventing overfitting
Question on Assignment?
(A) Measured responsivity of silicon nitride drum with different tensile stress (red square). (A) Measured responsivity of silicon nitride drum with different.
Effects of progressive and degressive elastic elements in load-sharing
NSAF and GeneChip datasets have similar PLGEM parameters.
Neural Odometry: The Discrete Charm of the Entorhinal Cortex
Components of the yield trend.
MATH 2140 Numerical Methods
Can Non-Mechanical Proteins Withstand Force
Least Squares Fitting A mathematical procedure for finding the best-fitting curve to a given set of points by minimizing the sum of the squares of the.
Least Squares Method: the Meaning of r2
Nitric Oxide Diffusion Rate is Reduced in the Aortic Wall
Acid stability of the HA protein of clade
Regression Analysis Jared Dean as quoted in Big Data, Data Mining, and Machine Learning From my experience, regression is the most dominant force in driving.
Vibrissal Kinematics in 3D: Tight Coupling of Azimuth, Elevation, and Torsion across Different Whisking Modes  Per Magne Knutsen, Armin Biess, Ehud Ahissar 
Calculating the Area of a Feature
Importin-β remains bound to NPCs after washing.
The ribozyme approach distinguishes RNA-dependent and RNA-independent functions of lincRNA genes. The ribozyme approach distinguishes RNA-dependent and.
Q-Q plot of observed P values against theoretical P values for factor analysis (red dots) and single gene–based methods (in blue). Q-Q plot of observed.
Analysis of AFM data. Analysis of AFM data. (A) Image of cytoplasmic side of the NE recorded with PeakForce QNM (2 kHz), as recorded for maximum indentation.
Bias-variance Trade-off
CALCULATING EQUATION OF LEAST SQUARES REGRESSION LINE
Nanomechanical characterization of the NE.
Neural Odometry: The Discrete Charm of the Entorhinal Cortex
Validation of some ePTL candidates.
Volume 5, Issue 4, Pages e4 (October 2017)
Jonathan Nakane, Matthew Wiggin, Andre Marziali  Biophysical Journal 
Effect of NTRs on NPCs. Effect of NTRs on NPCs. (A–D) Images from a video sequence (see Video 1) of the cytoplasmic side of the NE, in which, step-by-step,
Outgrowth of passaged strains.
ADAGE weights reflect a gene’s common regulatory and process features.
Unfolding Barriers in Bacteriorhodopsin Probed from the Cytoplasmic and the Extracellular Side by AFM  Max Kessler, Hermann E. Gaub  Structure  Volume.
Michael Schlierf, Felix Berkemeier, Matthias Rief  Biophysical Journal 
Volume 35, Issue 4, Pages (August 2002)
Identification of highly variable transcripts.
In vivo tracking of PD-L1+NCMs in the microcirculation.
(A) Increasing proportion of Ki67-positive GCs with increasing oocyte diameter on days 12 (blue) and 21 (red). (A) Increasing proportion of Ki67-positive.
Modulation of high γ activity in different brain regions is correlated with behavior. Modulation of high γ activity in different brain regions is correlated.
Enrichment of 3-aa motifs upon addition of Ery.
Khadijah Breathett et al. JCHF 2017;5:
Fig. 3 Controlled phase shift.
Top: probability distribution of the mass-to-light ratios observed when nebular emission is included in the fitting, stacked across all of the MC samples.
Matthew R. Roesch, Adam R. Taylor, Geoffrey Schoenbaum  Neuron 
Nitric Oxide Diffusion Rate is Reduced in the Aortic Wall
Maria R. Costanzo et al. JCHF 2016;4:
Fig. 1. Time-trends of proportion of single women and young age women in the United States. Results of piecewise linear regression analyses by Joinpoint.
Change in FES uptake in the tumor during fulvestrant treatment.
Fig. 2 Device tests. Device tests. (A) Comparison of displacements obtained from consumer GNSS receivers with and without phase smoothing (p-s) and SBAS,
Unfolding Barriers in Bacteriorhodopsin Probed from the Cytoplasmic and the Extracellular Side by AFM  Max Kessler, Hermann E. Gaub  Structure  Volume.
Volume 110, Issue 12, Pages (June 2016)
Presentation transcript:

Determination of the contact point in force curves. Determination of the contact point in force curves. (A) A PeakForce QNM (2 kHz) force curve recorded in the centre of an NPC (cytoplasmic side). (B) The force curve is segmented into many partitions (initially 20, shown by the dotted grey lines). The standard deviation of each segment is determined, and the smallest is taken as a measure of the baseline noise. This number is multiplied by a factor (3 in this study) and saved as a threshold value. The difference in the mean between neighbouring partitions is calculated and compared with this threshold: if the difference is less than the threshold, it is assigned a 0; if greater than the threshold, it is assigned a 1. If this produces a series of 0s and 1s with only one transition, the force curve is cropped from the end of the baseline to the first segment after the transition point (green dotted line is the transition point and blue line is the segment of force curve for cropping). If there is more than one transition, the number of segments is reduced by one, and the process restarts. The rationale behind this procedure is that it yields a force curve over an indentation that is so small that the increase can be approximated by a linear function. (C) A piecewise linear function is fitted to the cropped force curve using a least squares regression. (D) The knot in the piecewise function is defined as the contact point (z0; red cross). George J Stanley et al. LSA 2018;1:e201800142 © 2018 Stanley et al.