RT Journal Article
T1 Solitonlike attractor for blood vessel tip density in angiogenesis
A1 López Bonilla, Luis Francisco
A1 Carretero Cerrajero, Manuel
A1 Terragni, Filippo
AB In this work, we derive and solve the equations for the soliton collective coordinates that indicate how the soliton adapts its shape and velocity to varying chemotaxis and diffusion. The vessel tip density can be reconstructed from the soliton formulas. While the stochastic model exhibits large fluctuations, we show that the location of the maximum vessel tip density for different replicas follows closely the soliton peak position calculated either by ensemble averages or by solving an alternative deterministic description of the density. The simple soliton collective coordinate equations may also be used to ascertain the response of the vessel network to changes in the parameters and thus to control it.
PB American Physical Society
SN 2470-0045
YR 2016
FD 2016-12-30
LK https://hdl.handle.net/10016/31445
UL https://hdl.handle.net/10016/31445
LA eng
NO We thank Vincenzo Capasso, Bjorn Birnir, and Boris Malomed for fruitful discussions. This work has been supported by the Ministerio de Economía y Competitividad grant MTM2014-56948-C2-2-P.
DS e-Archivo
RD 1 sept. 2024