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Polymers in Confined Geometry.pdf

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2 CHAPTER 1. INTRODUCTION<br />

(a) 100 nm channel width (b) 200 nm channel width<br />

Figure 1.1: Scann<strong>in</strong>g electron micrograph (SEM) picture of nanochannels. These channels<br />

are used <strong>in</strong> experiments to study the behavior of DNA under <strong>in</strong>creas<strong>in</strong>g conf<strong>in</strong>ement. Courtesy<br />

of W. Reisner et al. [38].<br />

real time optical microscopy on fluorescently dyed polymers a direct observation<br />

method of polymer cha<strong>in</strong>s has become available.<br />

One important task is the localization of b<strong>in</strong>d<strong>in</strong>g sites for restriction and<br />

other DNA b<strong>in</strong>d<strong>in</strong>g enzymes. The restriction sites are traditionally determ<strong>in</strong>ed<br />

by measur<strong>in</strong>g the length of restriction fragments by gel-electrophoresis. Alternatively,<br />

they can be located by us<strong>in</strong>g optical mapp<strong>in</strong>g of stretched DNA molecules<br />

trapped on a surface. To measure the contour-length of a s<strong>in</strong>gle molecule us<strong>in</strong>g<br />

optical techniques directly, it is necessary to extend the polymer such that<br />

a one-to-one mapp<strong>in</strong>g can be established between the spatial position along the<br />

polymer and the position with<strong>in</strong> the genome.<br />

Chip-based devices, that cannot only detect and separate s<strong>in</strong>gle DNA molecules<br />

by size but are able to sequence at the s<strong>in</strong>gle molecule level, would have the<br />

potential to revolutionize biology.<br />

Conf<strong>in</strong>ement elongation of genomic-length DNA has several advantages over<br />

alternative techniques for extend<strong>in</strong>g DNA, such as flow stretch<strong>in</strong>g and/or stretch<strong>in</strong>g<br />

rely<strong>in</strong>g on a tethered molecule. Conf<strong>in</strong>ement elongation does not require the<br />

presence of a known external force because a molecule <strong>in</strong> a nanochannel will rema<strong>in</strong><br />

stretched <strong>in</strong> its equilibrium configuration. Second, it allows for a precise<br />

measurement of length at the s<strong>in</strong>gle molecule level (cf. [44]).<br />

While a number of approaches have been proposed, all of them have <strong>in</strong> common<br />

the conf<strong>in</strong>ement of DNA to nanometer scales, typically 5-200 nm. Conf<strong>in</strong>ement<br />

alters the statistical mechanical properties of DNA. A DNA molecule <strong>in</strong> a<br />

nanochannel (cf. figures 1.1) will extend along the channel axis to a substantial<br />

fraction of its full contour length (cf. figures 1.2). While the study of conf<strong>in</strong>ed<br />

DNA is <strong>in</strong>terest<strong>in</strong>g from a physical perspective, it is also critical for device design,<br />

potentially lead<strong>in</strong>g to new applications of nanoconf<strong>in</strong>ement, for example, the use<br />

of nanochannels to pre-stretch and stabilize DNA before thread<strong>in</strong>g through a

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