A comparison of step-detection methods: how well can you do?

Many biological machines function in discrete steps, and detection of such steps can provide insight into the machines' dynamics. It is therefore crucial to develop an automated method to detect steps, and determine how its success is impaired by the significant noise usually present. A number of step detection methods have been used in previous studies, but their robustness and relative success rate have not been evaluated. Here, we compare the performance of four step detection methods on artificial benchmark data (simulating different data acquisition and stepping rates, as well as varying amounts of Gaussian noise). For each of the methods we investigate how to optimize performance both via parameter selection and via prefiltering of the data. While our analysis reveals that many of the tested methods have similar performance when optimized, we find that the method based on a chi-squared optimization procedure is simplest to optimize, and has excellent temporal resolution. Finally, we apply these step detection methods to the question of observed step sizes for cargoes moved by multiple kinesin motors in vitro. We conclude there is strong evidence for sub-8-nm steps of the cargo's center of mass in our multiple motor records.

[1]  Michael P. Sheetz,et al.  A model for kinesin movement from nanometer-level movements of kinesin and cytoplasmic dynein and force measurements , 1991, Journal of Cell Science.

[2]  Frederick Sachs,et al.  Extracting dwell time sequences from processive molecular motor data. , 2006, Biophysical journal.

[3]  W. Greenleaf,et al.  Direct observation of base-pair stepping by RNA polymerase , 2005, Nature.

[4]  Toshio Yanagida,et al.  Substeps within the 8-nm step of the ATPase cycle of single kinesin molecules , 2001, Nature Cell Biology.

[5]  C. Schmidt,et al.  Signals and noise in micromechanical measurements. , 1998, Methods in cell biology.

[6]  R. A. Kennedy,et al.  Forward-backward non-linear filtering technique for extracting small biological signals from noise , 1991, Journal of Neuroscience Methods.

[7]  S. Gross,et al.  Building Complexity: An In Vitro Study of Cytoplasmic Dynein with In Vivo Implications , 2005, Current Biology.

[8]  Liedewij Laan,et al.  Assembly dynamics of microtubules at molecular resolution , 2006, Nature.

[9]  Paul R. Selvin,et al.  Tracking melanosomes inside a cell to study molecular motors and their interaction , 2007, Proceedings of the National Academy of Sciences.

[10]  Brian M. Sadler,et al.  Analysis of Multiscale Products for Step Detection and Estimation , 1999, IEEE Trans. Inf. Theory.

[11]  Christoph F. Schmidt,et al.  Direct observation of kinesin stepping by optical trapping interferometry , 1993, Nature.

[12]  P. R. Bevington,et al.  Data Reduction and Error Analysis for the Physical Sciences , 1969 .

[13]  B. C. Carter,et al.  Multiple-motor based transport and its regulation by Tau , 2007, Proceedings of the National Academy of Sciences.

[14]  Paul R. Selvin,et al.  Kinesin and Dynein Move a Peroxisome in Vivo: A Tug-of-War or Coordinated Movement? , 2005, Science.

[15]  Xiaolin Nan,et al.  Observation of individual microtubule motor steps in living cells with endocytosed quantum dots. , 2005, The journal of physical chemistry. B.

[16]  A. Knight,et al.  Analysis of single-molecule mechanical recordings: application to acto-myosin interactions. , 2001, Progress in biophysics and molecular biology.

[17]  R. Cross,et al.  Mechanics of the kinesin step , 2005, Nature.

[18]  M. Sheetz,et al.  Microtubule-dependent vesicle transport: modulation of channel and transporter activity in liver and kidney. , 1998, Physiological reviews.

[19]  F. A. Seiler,et al.  Numerical Recipes in C: The Art of Scientific Computing , 1989 .

[20]  Enrico Gratton,et al.  Melanosomes transported by myosin-V in Xenopus melanophores perform slow 35 nm steps. , 2006, Biophysical journal.

[21]  William H. Press,et al.  The Art of Scientific Computing Second Edition , 1998 .

[22]  Hideo Higuchi,et al.  Stepwise movements in vesicle transport of HER2 by motor proteins in living cells. , 2007, Biophysical journal.

[23]  B. C. Carter,et al.  Cytoplasmic dynein functions as a gear in response to load , 2004, Nature.

[24]  Samara L. Reck-Peterson,et al.  Single-Molecule Analysis of Dynein Processivity and Stepping Behavior , 2006, Cell.

[25]  J. Gelles,et al.  Coupling of kinesin steps to ATP hydrolysis , 1997, Nature.

[26]  Frederick Sachs,et al.  Maximum likelihood estimation of molecular motor kinetics from staircase dwell-time sequences. , 2006, Biophysical journal.

[27]  Lorenzo Busoni,et al.  Kinesin motion in the absence of external forces characterized by interference total internal reflection microscopy. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[28]  Brian M. Sadler,et al.  Analysis of Wavelet Transform Multiscale Products for Step Detection and Estimation , 1998 .

[29]  Joshua W. Shaevitz,et al.  Probing the kinesin reaction cycle with a 2D optical force clamp , 2003, Proceedings of the National Academy of Sciences of the United States of America.