Program in Mathematics and Molecular Biology

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MARK SCHNITZER

Statistical Kinetics of Processive Molecular Motors

My work has used tools of physics to understand how biological motor proteins convert biochemical fuel into mechanical work. Using optical tweezers, we are able to manipulate single motor molecules individually and to measure the nanometer scale motions these proteins undergo. Using theoretical methods of statistical mechnanics, we can deduce the molecular fuel economies and propose models for movement. In the funding period starting 9/98, my work has yielded two major results. First, for the molecular motor RNA polymerase, responsible for the transcription of DNA into RNA, we have found that a simple tightly-coupled model for movement quantitatively accounts for measured transcriptional velocities as a function of applied load. The measurements were made with individual DNA templates and single polymerases, and the model involves a series of biochemical intermediates in the engine cycle followed by a thermally activated mechanical transition. Second, we have made significant progress in understanding the workings of the motor kinesin. Using a novel instrument, the optical force clamp, and fluctuation analysis, which relies on the mathematical theory of renewal processes, we have deduced the molecular fuel economy of kinesin. Kinesin consumes only one ATP molecule for each 8 nm advance it makes, even under loads up to 5 pN. Thus, the kinesin motor is tightly-coupled (has no gears) and displays an energy efficiency up to 50%!

 
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