Distribution of the Distance Between Receptors of Ordered Micropatterned Substrates

Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 170)


We study the statistics of equally spaced pairs of receptors on a family of ordered flat microsubstrates whose adhesive centers form regular tessellations. We establish relationship between the symmetry of substrates and the probability density of the end-to-end polymer separation in terms of the so-called Manhattan distance.


Distance distribution Micropatterned substrates Polymer adhesion Surface chemistry Tessellations Zigzag path statistics 


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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Institute of MathematicsCzestochowa University of TechnologyCzestochowaPoland
  2. 2.Institute of Computer and Information SciencesCzestochowa University of TechnologyCzestochowaPoland

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