RT Journal Article
T1 Soliton driven angiogenesis
A1 López Bonilla, Luis Francisco
A1 Carretero Cerrajero, Manuel
A1 Terragni, Filippo
A1 Birnir, Bjorn
AB Angiogenesis is a multiscale process by which blood vessels grow from existing ones and carry oxygen to distant organs. Angiogenesis is essential for normal organ growth and wounded tissue repair but it may also be induced by tumours to amplify their own growth. Mathematical and computational models contribute to understanding angiogenesis and developing anti-angiogenic drugs, but most work only involves numerical simulations and analysis has lagged. A recent stochastic model of tumour-induced angiogenesis including blood vessel branching, elongation, and anastomosis captures some of its intrinsic multiscale structures, yet allows one to extract a deterministic integropartial differential description of the vessel tip density. Here we find that the latter advances chemotactically towards the tumour driven by a soliton (similar to the famous Korteweg-de Vries soliton) whose shape and velocity change slowly. Analysing these collective coordinates paves the way for controlling angiogenesis through the soliton, the engine that drives this process.
PB Nature
SN 2045-2322
YR 2016
FD 2016-08-09
LK https://hdl.handle.net/10016/23755
UL https://hdl.handle.net/10016/23755
LA eng
NO This work has been supported by the Ministerio de Economía y Competitividad grant MTM2014-56948-C2-2-Pand by the NILS Mobility project (European Economic Area-EEA grant). BB has been supported by a Chair offExcellence UC3M-Santander at the Universidad Carlos III de Madrid.
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RD 3 jul. 2024