[A possible scenario for spatial and temporal evolution of self-organizing biophysical structures]
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Mapping the Emergent Spatial Organization of Mammalian Cells using Micropatterns and Quantitative Imaging
Published on: April 30, 2019
1Usikov Institute of Radiophysics and Electronics, National Academy of Sciences of Ukraine, ul. Akademika Proskury 12, Kharkov, 61085 Ukraine.
Abstract:
The stationary diffraction theory, the spectral theory of open systems, and the theory of Morse critical points of dispersion equations made it possible, when applied to bounded self-organizing biological media, to formulate the analytical dispersion laws and construct nonlinear evolution equations describing local space and time processes in a biomacromolecular continuum. By the simplest examples of the solution of the nonlinear evolution equations for planar medium interfaces, a variety of dynamical phenomena occurring in the self-organization of macromolecules are shown.
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