22 citations · 45 across the 7 of their papers we have counts for
7 papers
The statistical theory of the angiogenesis equations
Björn Birnir, Luis Bonilla, Manuel Carretero +1
Angiogenesis is a multiscale process by which a primary blood vessel issues secondary vessel sprouts that reach regions lacking oxygen. Angiogenesis can be a natural process of org…
A Mathematical Model of Thyroid Disease Response to Radiotherapy
Araceli Gago-Arias, Sara Neira, Filippo Terragni +1
We present a mechanistic biomathematical model of molecular radiotherapy of thyroid disease. The general model consists of a set of differential equations describing the dynamics o…
Uncovering spatio-temporal patterns in semiconductor superlattices by efficient data processing tools
F. Terragni, L. L. Bonilla, J. M. Vega
Time periodic patterns in a semiconductor superlattice, relevant to microwave generation, are obtained upon numerical integration of a known set of drift-diffusion equations. The a…
Integrodifference master equation describing actively growing blood vessels in angiogenesis
L. L. Bonilla, M. Carretero, F. Terragni
We study a system of particles in a two-dimensional geometry that move according to a reinforced random walk with transition probabilities dependent on the solutions of reaction-di…
Two dimensional soliton in tumor induced angiogenesis
L. L. Bonilla, M. Carretero, F. Terragni
Ensemble averages of a stochastic model show that, after a formation stage, the tips of active blood vessels in an angiogenic network form a moving two dimensional stable diffusive…
Soliton-like attractor for blood vessel tip density in angiogenesis
L. L. Bonilla, M. Carretero, F. Terragni
Recently, numerical simulations of a stochastic model have shown that the density of vessel tips in tumor induced angiogenesis adopts a soliton-like profile [Sci. Rep. 6, 31296 (20…
Stochastic Model of Tumor-induced Angiogenesis: Ensemble Averages and Deterministic Equations
F. Terragni, M. Carretero, V. Capasso +1
A recent conceptual model of tumor-driven angiogenesis including branching, elongation, and anastomosis of blood vessels captures some of the intrinsic multiscale structures of thi…