Biophysics: Fractional Dynamics

Xuru's Website

Introductory Notes on Fractional Calculus

Fractional Calculus Notes By Diego del-Castillo-Negrete

Fractional Calculus: basic theory and applications (Part I)

Fractional Calculus: basic theory and applications (Part II)

Fractional Calculus: basic theory and applications (Part III)

Eli Barkai's Notes

Random Walks and Diffusion By Martin Z. Bazant

18.325 Random Walks and Diffusion (Spring 2001)

18.366 Random Walks and Diffusion (Spring 2006)

Solving Advanced Applied Mathematical Problems Using Matlab By Dingyu Xue and YangQuan Chen

Powerpoint for Book PPT site

Membrane Simulation: Cell Division

Evolution of cell population in a lymph node section

Evolution of lattice structure (Lymph node section). Pink cells are Th2, light blue are Th1, light red are naïve T cells, dark red are Th0, green represents naïve B cells with a few activated ones, dark blue colour is for macrophages. The surface represented is 1,7mm x 1,7mm master's thesis work. Keywords: immunology, system biology, arthritis, collagen induced arthritis, computer models, simulations. lymphocyte, T cell, B cell, agent based model, individual based model. Nicolas Rapin / medical inflammation research Lund 26 sec - Jun 2, 2005 membres.lycos.fr

Drosophilia

Recent advances in microscopy and in fluorescence labeling of proteins allow the observation of complex biological processes in living organisms. This movie shows the early stages of embryonic development of a fruit fly egg, which is half a millimeter in size. In the first part of the movie, the observation of fluorescently labeled histones (proteins that help packaging the chromosomes into a compact nucleoprotein structure in the cell) reveals the dynamics of the mitotic divisions of the nuclei that occur in the egg during the first two hours of development. Following the synchronous nuclear divisions, cellular membranes form and cell movements initiate a process called gastrulation, during which cells invaginate in the embryo to form tissue layers and organs following a genetically determined developmental program. Early steps of gastrulation are shown in the second part of the movie through fluorescence labeling of membrane proteins. As suggested in the movie by the biophysicist writing down differential reaction-diffusion equations on a blackboard, the ability to observe these kinds of processes at the molecular level and in real time has opened new venues in modern biology, by applying tools from mathematics and physics to understand complex biological processes in a quantitative manner. Jean-Baptiste Boule, Matthieu Coppey, and Thomas G 52 sec - May 13, 2006 www.princeton.edu

Biophysics

Tuesday, August 01, 2006

Fractional Dynamics

Eli Barkai's Notes

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