Methods and apparatuses for characterization of single polymers

A method for determining velocity of a single elongated polymer, said method comprising measuring a plurality of signal amplitude profiles of said elongated polymer, each signal amplitude profile comprising measurements taken at a different one of a plurality of detection zones, wherein said plurality of detection zones consists of a first and a second detection zone, as the elongated polymer moves along a path past the first and second detection zones and determining said velocity of said elongated polymer from said plurality of signal amplitude profiles, wherein said plurality of signal amplitude profiles consists of a first signal amplitude profile comprising measurements taken at said first detection zone and a second signal amplitude profile comprising measurements taken at said second detection zone, wherein each said signal amplitude profile comprises measurements in the first and second detection zones of a signal generated at said elongated polymer at a plurality of times, said plurality of times comprising times that are before, during, and after said elongated polymer is in said detection zones, wherein said plurality of detection zones are located in order alone the path of said elongated polymer at predetermined distances, and wherein said plurality of signal amplitude profiles are measured in a time-correlated manner, wherein said velocity of said elongated polymer is a center-to-center velocity and wherein said determining said velocity comprises

• (a) determining temporal location of a first center of polymer contour in said first signal amplitude profile and temporal location of a second center of polymer contour in said second signal amplitude profile;
• and
• (b) calculating said center-to-center velocity by dividing distance between said first and second detection zones with difference between temporal locations of said first center of polymer contour and said second center of polymer contour.

A method for determining velocity of a single elongated polymer, said method comprising measuring a plurality of signal amplitude profiles of said elongated polymer, each signal amplitude profile comprising measurements taken at a different one of a plurality of detection zones, wherein said plurality of detection zones consists of a first and a second detection zone, as the elongated polymer moves along a path past the first and second detection zones and determining said velocity of said elongated polymer from said plurality of signal amplitude profiles, wherein said plurality of signal amplitude profiles consists of a first signal amplitude profile comprising measurements taken at said first detection zone and a second signal amplitude profile comprising measurements taken at said second detection zone, wherein each said signal amplitude profile comprises measurements in the first and second detection zones of a signal generated at said elongated polymer at a plurality of times, said plurality of times comprising times that are before, during, and after said elongated polymer is in said detection zones, wherein said plurality of detection zones are located in order along the path of said elongated polymer at predetermined distances, and wherein said plurality of signal amplitude profiles are measured in a time-correlated manner, wherein said velocity of said elongated polymer is an end-to-end velocity and wherein said determining said velocity comprises

• (a) determining temporal location of a first leading end in said first signal amplitude profile and temporal location of a second leading end in said second signal amplitude profile;
• and
• (b) calculating said end-to-end velocity by dividing distance between said first and second detection zones with difference between temporal locations of said first leading end and said second leading end.

A method for determining velocity of a single elongated polymer, said method comprising measuring a plurality of signal amplitude profiles of said elongated polymer, each signal amplitude profile comprising measurements taken at a different one of a plurality of detection zones, wherein said plurality of detection zones consists of a first and a second detection zone, as the elongated polymer moves alone a path past the first and second detection zones and determining said velocity of said elongated polymer from said plurality of signal amplitude profiles, wherein said plurality of signal amplitude profiles consists of a first signal amplitude profile comprising measurements taken at said first detection zone and a second signal amplitude profile comprising measurements taken at said second detection zone, wherein each said signal amplitude profile comprises measurements in the first and second detection zones of a signal generated at said elongated polymer at a plurality of times, said plurality of times comprising times that are before, during, and after said elongated polymer is in said detection zones, wherein said plurality of detection zones are located in order along the path of said elongated polymer at predetermined distances, and wherein said plurality of signal amplitude profiles are measured in a time-correlated manner, wherein said velocity of said elongated polymer is a rise-time velocity and wherein said determining said velocity comprises

• (a) determining time interval of rising edge of said first or second signal amplitude profile measured in a respective detection zone;
• and
• (b) calculating said rise-time velocity by dividing dimension of said respective detection zone with said time interval of rising edge of said first or second signal amplitude profile.

A method for determining the length of a single elongated polymer, said method comprising:

• (a) measuring a first signal amplitude profile of said single elongated polymer at a first detection zone as the single elongated polymer moves along a path past the first detection
• (b) measuring a second signal amplitude profile of said single elongated polymer at a second detection zone as the single elongated polymer moves alone the path past the second detection zone;
• (c) determining a velocity of said single elongated polymer at said first and second detection zones from said first and/or second signal amplitude profiles;
• and
• (d) determining length of said single elongated polymer by multiplying time difference between leading and trailing edges of said first or said second signal amplitude profile with said velocity;
• wherein each said signal amplitude profile comprises measurements in the respective detection zone of a signal generated at said single elongated polymer at a plurality of times, said plurality of times comprising times that are before, during and after said elongated polymer is in said detection zone, wherein said first and second detection zones are located in order along the path of said single elongated polymer at predetermined distances, and wherein said first and second signal amplitude profiles are measured in a time-correlated manner, wherein said velocity of said single elongated polymer is a center-of-mass velocity and wherein said determining a velocity comprises
• (a) determining temporal location of a first center-of-mass in said first signal amplitude profile and temporal location of a second center-of-mass in said second signal amplitude profile;
• and
• (b) calculating said center-of-mass velocity by dividing distance between said first and second detection zones with difference between temporal locations of said first center-of- mass and said second center-of-mass.

A method for determining the length of a single elongated polymer, said method comprising:

• (a) measuring a first signal amplitude profile of said single elongated polymer at a first detection zone as the single elongated polymer moves along a path past the first detection zone;
• (b) measuring a second signal amplitude profile of said single elongated polymer at a second detection zone as the single elongated polymer moves along the path past the second detection zone;
• (c) determining a velocity of said single elongated polymer at said first and second detection zones from said first and/or second signal amplitude profiles;
• and
• (d) determining length of said single elongated polymer by multiplying time difference between leading and trailing edges of said first or said second signal amplitude profile with said velocity;
• wherein each said signal amplitude profile comprises measurements in the respective detection zone of a signal generated at said single elongated polymer at a plurality of times, said plurality of times comprising times that are before, during and after said elongated polymer is in said detection zone, wherein said first and second detection zones are located in order along the path of said single elongated polymer at predetermined distances, and wherein said first and second signal amplitude profiles are measured in a time-correlated manner, wherein said velocity of said single elongated polymer is a center-to-center velocity and wherein said determining a velocity comprises
• (a) determining temporal location of a first center of polymer contour in said first signal amplitude profile and temporal location of a second center of polymer contour in said second signal amplitude profile;
• and
• (b) calculating said center-to-center velocity by dividing distance between said first and second detection zones with difference between temporal locations of said first center of polymer contour and said second center of polymer contour.

A method for determining the length of a single elongated polymer, said method comprising:

• (a) measuring a first signal amplitude profile of said single elongated polymer at a first detection zone as the single elongated polymer moves along a path past the first detection zone;
• (b) measuring a second signal amplitude profile of said single elongated polymer at a second detection zone as the single elongated polymer moves along the path past the second detection zone;
• (c) determining a velocity of said single elongated polymer at said first and second detection zones from said first and/or second signal amplitude profiles;
• and
• (d) determining length of said single elongated polymer by multiplying time difference between leading and trailing edges of said first or said second signal amplitude profile with said velocity;
• wherein each said signal amplitude profile comprises measurements in the respective detection zone of a signal generated at said single elongated polymer at a plurality of times, said plurality of times comprising times that are before, during and after said elongated polymer is in said detection zone, wherein said first and second detection zones are located in order along the path of said single elongated polymer at predetermined distances, and wherein said first and second signal applitude profiles are measured in a time-correlated manner, wherein said velocity of said single elongated polymer is an end-to-end velocity and wherein said determining a velocity comprises
• (a) determining temporal location of a first leading end in said first signal amplitude profile and temporal location of a second leading end in said second signal amplitude profile;
• and
• (b) calculating said end-to-end velocity by dividing distance between said first and second detection zones with difference between temporal locations of said first leading end and said second leading end.