Seminar

The Soliton in Angiogenesis

Mathematical Biology

01 November 14:00 - 14:45

Björn Birnir - University of California, Santa Barbara

We will discuss cellular and kinetic model for angiogenesis, the growth of veins transporting the blood flow. Numerical simulations of this model lead to a surprising discovery of a KdV soliton, describing the tips of veins as they grow through the body. This means that we have solitons propagating through us. A soliton is a wave that can propagate for a long time, without much changing its form. The resulting analysis gave a simple model describing the soliton and its propagation and a further dynamical systems analysis points to a control theory of the soliton that may be used to either help or hinder the growth of the veins. This has important applications in embryo development, especially for the development of premature babies in their first weeks of life, and to tumor growth and spread, that is enabled by veins growing towards the tumor. Reference: L. L. Bonilla, M. Carretero, F. Terragni, B. Birnir. Soliton driven angiogenesis. Scientific Reports, 2016; 6: 31296 DOI: 10.1038/srep31296
Organizers
Mats Gyllenberg
University of Helsinki
Torbjörn Lundh
Chalmers/University of Gothenburg
Philip Maini
University of Oxford
Roeland Merks
Universiteit Leiden
Mathisca de Gunst
Vrije Universiteit Amsterdam

Program
Contact

Roeland Merks

merksrmh@math.leidenuniv.nl

Other
information

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