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May 20, 2026Nonlinear DynamicsOpen Access

Control of the soliton attractor in a model of angiogenesis

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Authors

BBB. BirnirLBL. L. BonillaMCM. Carretero

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Overview

Randomized trial demonstrates nonlinear control methods to manipulate angiogenic networks, suggesting innovative treatment approaches.

Key Points

  • The aim is to examine how to control the soliton attractor within a model of angiogenesis.
  • Analysis of stochastic models and deterministic partial differential equations.
  • Application of linear and nonlinear feedback controls to the deterministic system.
  • Development of an optimal filtering problem leading to the Kushner equation.
  • Linear feedback control can freeze or kill the soliton, but it is costly.
  • Nonlinear control methods can effectively manipulate the soliton without high costs.
  • The nonlinear control approach aligns with optimal control problems derived from noise correlations.

Cite This Study

Birnir et al. (2026) studied this question.

synapsesocial.com/papers/6a0d5000f03e14405aa9b8c4https://doi.org/10.1007/s11071-026-12510-y
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