ps_1 - MASSACHUSETTS INSTITUE OF TECHNOLOGY Molecular,...

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MASSACHUSETTS INSTITUE OF TECHNOLOGY Molecular, Cellular and Tissue Biomechanics BEH.410 / 2.978J / 6.524J / 10.537J Problem Set #1 Issued: 2/13/03 Due: 2/19/03 (in class) Please staple each problem separately as we will have different graders grading each problem. Also please put your name on each problem! Problem #1: Boltzmann’s Relation and Cell Micromechanics Recently D. Discher studied the mechanical behavior of the red blood cell cytoskeleton (we will learn soon that this is a polymer network attached to the cell plasma membrane). Discher attached a bead of 40 nm to this network (see figure A below) and tracked the center of mass of the bead over time (figure B). The network acts as a spring constraining the motion of the bead. a) Consider a simple system consisting of a bead attached to a spring (with spring constant κ) at constant N,V,T. Calculate the mean squared displacement relative to the ) 2 average position ( . (Note: you should start by first proving the general x x
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ps_1 - MASSACHUSETTS INSTITUE OF TECHNOLOGY Molecular,...

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