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On Peak and Periodic Solutions of an Integro-Differential Equation on S 1

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Geometric Analysis and Nonlinear Partial Differential Equations
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Abstract

for the dynamics of an elongated object its orientation is as important as its spatial position; think of a school of fish. Sometimes the orientational pattern alone attracts our attention. In our case it was the phenomenon of parallel bundling and orthogonal arrangement in networks of actin filaments. Actin is a filamentous (i.e. lengthy) protein which forms one of the main components of the cytoskeleton, giving the cell mechanical stability and the ability to crawl ([1]).

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Geigant, E. (2003). On Peak and Periodic Solutions of an Integro-Differential Equation on S 1 . In: Hildebrandt, S., Karcher, H. (eds) Geometric Analysis and Nonlinear Partial Differential Equations. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55627-2_23

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  • DOI: https://doi.org/10.1007/978-3-642-55627-2_23

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44051-2

  • Online ISBN: 978-3-642-55627-2

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