ps2 - Molecular, Cellular & Tissue Biomechanics, Fall...

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Molecular, Cellular & Tissue Biomechanics, Fall 2006 20.310/2.797J/6.024J/ Problem Set # 2 Problem 1: Thermal Energy as a Ruler: In class we saw the probability that an interaction with energy E will break due to thermal energy kT is given by: pE ( ) exp E kT := . Plot this function over a range from 0.01 to 10kT. At what energies do we have 90% of bonds broken? half of bonds broken? 10% of bonds broken? Problem 2: Calculate the energy of a hydrogen bond with partial charges of 0.8, 0.4 and a separation of 1.8 angstroms due to coulombic interactions. Assume both a dielectric constant of 1 and that for water. Now calculate the Bjerrum length for this interaction. Use the Bjerrum length to estimate a typical force magnitude required to break this interaction. Problem 3: The physiological concentrations of ions in a cell are close to 150mM. Say you are making an artificial cell by creating lipid vesicles using CaCl 2 at 150mM to form an ionic solution. Calculate the Debye screening length in your artificial vesicle
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This note was uploaded on 11/11/2011 for the course BIO 2.797j taught by Professor Matthewlang during the Fall '06 term at MIT.

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ps2 - Molecular, Cellular & Tissue Biomechanics, Fall...

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