sample of publications

• articles 

  • The Statistical Theory of the Angiogenesis Equations.  JOURNAL OF NONLINEAR SCIENCE.  34. 2024
  • Hyperchaos, intermittency, noise and disorder in modified semiconductor superlattices.  Entropy.  24:1-25. 2022
  • Designing Hyperchaos and Intermittency in Semiconductor Superlattices.  PHYSICAL REVIEW LETTERS.  127:096601-1-096601-6. 2021
  • Anomalous angiogenesis in retina.  Biomedicines.  9:1-21. 2021
  • Integrodifference master equation describing actively growing blood vessels in angiogenesis.  INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION.  21:705-713. 2020
  • Two dimensional soliton in tumor induced angiogenesis.  JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT.  2020
  • Notch signaling and taxis mechanisms regulate early stage angiogenesis: A mathematical and computational model.  PLoS Computational Biology.  16:1-31. 2020
  • A convergent numerical scheme for integrodifferential kinetic models of angiogenesis.  JOURNAL OF COMPUTATIONAL PHYSICS.  375:1270-1294. 2018
  • Coherence Resonance and Stochastic Resonance in an Excitable Semiconductor Superlattice.  PHYSICAL REVIEW LETTERS.  121 (086805). 2018
  • Parameter dependence of high-frequency nonlinear oscillations and intrinsic chaos in short GaAs/(Al, Ga)As superlattices.  CHAOS.  28. 2018
  • Two-dimensional collective electron magnetotransport, oscillations, and chaos in a semiconductor superlattice.  Physical review E: covering statistical, nonlinear, biological, and soft matter physics.  96. 2017
  • Ensemble averages, soliton dynamics and influence of haptotaxis in a model of tumor-induced angiogenesis.  Entropy.  19. 2017
  • Enhancing chaotic behavior at room temperature in GaAs/(Al,Ga)As superlattices.  PHYSICAL REVIEW B.  95. 2017
  • On the mathematical modelling of tumor-induced angiogenesis.  Mathematical Biosciences and Engineering.  14:45-66. 2017
  • Noise-enhanced chaos in a weakly coupled GaAs/(Al,Ga) As superlattice.  Physical review E: covering statistical, nonlinear, biological, and soft matter physics.  95. 2017
  • Solitonlike attractor for blood vessel tip density in angiogenesis.  Physical review E: covering statistical, nonlinear, biological, and soft matter physics.  94. 2016
  • Soliton driven angiogenesis.  Scientific Reports.  6:1-7. 2016
  • Maximum Entropy Closure of Balance Equations for Miniband Semiconductor Superlattices.  Entropy.  18. 2016
  • Chaos-based true random number generators.  Journal of Mathematics in Industry.  7:1-17. 2016
  • Stochastic model of tumor-induced angiogenesis: Ensemble averages and deterministic equations.  Physical review E: covering statistical, nonlinear, biological, and soft matter physics.  93. 2016
  • Hybrid modeling of tumor-induced angiogenesis.  Physical review E: statistical, nonlinear, and soft matter physics.  90. 2014
  • Dynamics of optically injected currents in carbon nanotubes.  PHYSICAL REVIEW B.  90. 2014
  • Noise-enhanced spontaneous chaos in semiconductor superlattices at room temperature.  EPL.  107:1-6. 2014
  • Transport in semiconductor nanowire superlattices described by coupled quantum mechanical and kinetic models.  JOURNAL OF PHYSICS-CONDENSED MATTER.  25:1-12. 2013
  • Numerical methods for kinetic equations in semiconductor superlattices.  COMPUTER PHYSICS COMMUNICATIONS.  184:720-731. 2013
  • Numerical method for hydrodynamic modulation equations describing Bloch oscillations in semiconductor superlattices.  JOURNAL OF COMPUTATIONAL PHYSICS.  231:4499-4514. 2012
  • Theory of spatially inhomogeneous Bloch oscillations in semiconductor superlattices.  PHYSICAL REVIEW B.  84:1-17. 2011
  • Spatially confined Bloch oscillations in semiconductor superlattices.  EPL.  95. 2011
  • RBF-FD Formulas and Convergence Properties.  JOURNAL OF COMPUTATIONAL PHYSICS.  229:8281-8295. 2010
  • Phase Diagrams and Switching of Voltage and Magnetic Field in Dilute Magnetic Semiconductor Nanostructures.  Physica Status Solidi-Rapid Research Letters.  4:76-78. 2010
  • Magnetoswitching of Current Oscillations in Dilute Magnetic Semiconductor Nanostructures.  PHYSICAL REVIEW B.  80:155202. 2009
  • Self-Sustained Spin-Polarized Current Oscillations in Multiquantum Well Structures.  NEW JOURNAL OF PHYSICS.  11:1-19. 2009
  • Self-Sustained Spin-Polarized Current Oscillations in Diluted Magnetic Semiconductor Superlattices.  IEEE TRANSACTIONS ON MAGNETICS.  44:2662-2665. 2008
  • Self-Sustained Current Oscillations in a Multi-Quantum-Well Spin Polarized Structure with Normal Contacts.  PHYSICA STATUS SOLIDI A-APPLICATIONS AND MATERIALS SCIENCE.  205:1270-1275. 2008
  • Multiquantum Well Spin Polarized Current Oscillator.  PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES.  40:1099-1101. 2008

• book chapters 

  • Stochastic Models of Blood Vessel Growth. In: Stochastic Dynamics Out of Equilibrium: IHPStochDyn 2017.  SPRINGER. 413-436. 2019
  • Stochastic Models of Tumor Induced Angiogenesis. In: Coupled Mathematical Models for Physical and Biological Nanoscale Systems and Their Applications.  Springer International Publishing. 97-116. 2018
  • Homogeneus Branched-Chain Explosions. In: Progress in Industrial Mathematics at ECMI 2008.  SPRINGER VERLAG GMBH. 759-764. 2010
  • Relocation Dynamic during Voltage Switching in Spin-Polarized Superlattices. In: Progress in Industrial Mathematics at ECMI 2008.  SPRINGER VERLAG GMBH. 159-165. 2010
  • Self-Sustained Spin-Polarized Current Oscillations in Multiquantum Well Structures. In: Progress in Industrial Mathematics at ECMI 2008.  SPRINGER VERLAG GMBH. 147-152. 2010
  • Nonlinear Electron Transport in Nanostructures. In: Numerical Analysis and Applied Mathematics: International Conference on Numerical Analysis and Applied Mathematics 2008. AIP Conference Proceedings.  AIPC. 9-12. 2008

• conference contributions 

  • Stochastic modeling of blood vessel growth 2019
  • A mathematical model of tumor-induced angiogenesis focused on cellular dynamics.  67-67. 2018
  • Chaotic Behavior and Coherence Resonance in Semiconductor Superlatticesat Room Temperature.  338-338. 2018
  • Chaotic behaviour and coherence resonance in semiconductor superlattices at room temperature.  58-58. 2018
  • Hybrid cellular Potts model for tumor-induced angiogenesis.  57-57. 2018
  • Modeling the growth of blood vessels.  420-421. 2018
  • Stochastic Models of Tumor Induced Angiogenesis.  97-116. 2018
  • Stochastic modeling and analysis of tumor-induced blood vessel formation 2018
  • Ensemble-averaged and deterministic descriptions of tumor-driven angiogenesis 2016
  • Spontaneous chaotic oscillations and noise in a semiconductor superlattice model 2016
  • Spontaneous chaotic oscillations at room temperature in a semiconductor superlattice model 2016
  • Tumor induced angiogenesis 2016
  • Noise enhanced spontaneous chaos in semiconductor superlattices at room temperature 2015
  • Tumor induced angiogenesis.  649-652. 2015
  • Characterizing spontaneous chaos in semiconductor multi-quantum wells at room temperature 2014
  • Dynamics of optically injected currents in carbon nanotubes 2014
  • Electron transport in nanowire semiconductor superlattices 2014
  • Modulated Bloch waves in semiconductor superlattices 2014
  • Spontaneous chaos, random number generators and electron transport in multiquantum wells at room temperature 2014
  • Bloch and Gunn Type Oscillations in Semiconductor Superlattices 2012
  • Coexistence of Inhomogeneous Bloch and Gunn Type Oscillations in Semiconductor Superlattices 2012
  • Coexistence of Inhomoheneous Bloch and Gunn Type Oscillations in Semiconductor Superlattices 2012
  • Nonlocal Models for Low Dimensional Nanostructures and Quantum-Mechanical-Kinetic Coupling in Semiconductor Superlattices 2012
  • Numerical Solutions of the Kinetic Equation for Semiconductor Superlattices with Self-Sustained Current Oscillation 2012
  • Resolución de la ecuación cinética en superredes semiconductoras mediante métodos de partículas y diferencias finitas 2012
  • Spectral Modeling of The Dynamics of Optically Injected One-Dimensional Currents 2012
  • Theory of Spatially Inhomogeneous Bloch Oscillations in Semiconductor Superlattices 2012
  • Spatially Confined Bloch Oscillations in Semiconductor Superlattices.  1442-1445. 2011
  • Spatially Confined Bloch Oscillations in Semiconductor Superlattices 2011
  • Spatially Confined Bloch Oscillations in Semiconductor Superlattices 2011
  • Spatially Confined Bloch Oscillations in Semiconductor Superlattices.  1442-1445. 2011
  • Charge and Spin Transport in Nanostructures 2008
  • Homogeneous Branched-Chain Explosions 2008
  • Nonlinear Electron Transport in Nanostructures.  9-12. 2008
  • Self-Sustained Spin-Polarized Current Oscillations in Diluted Magnetic Semiconductor Superlattices 2008