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1. 1. Accurate and Efficient Solution of the Smoluchowski Equation

   Master-uppsats, Institutionen för informationsteknologi

   Författare :Mohammad Hossein Bani-Hashemian; [2011]
   Nyckelord :;

   Sammanfattning : The probability density function (PDF) of the relative position of molecules diffusing independently in three dimensional space according to Brownian motion and reacting with a certain probability when any two of them collide is given by the Smoluchowski equation. The PDF is used to sample particle positions in simulations of reaction-diffusion processes by particle-based simulation methods, like Green's Function Reaction Dynamics (GFRD) proposed by van Zon and ten Wolde. LÄS MER

3. 2. Projections of Immersed Surfaces and Regular Homotopy

   Master-uppsats, Matematiska institutionen

   Författare :Mohammad Hossein Bani-Hashemian; [2009]
   Nyckelord :;

   Sammanfattning : This thesis is based on U. Pinkall’s study of the classification of immersions of compact surfaces into R3 up to regular homotopy. LÄS MER