sample of publications

• articles 

  • The Statistical Theory of the Angiogenesis Equations.  JOURNAL OF NONLINEAR SCIENCE.  34. 2024
  • Power laws of natural swarms as fingerprints of an extended critical region.  Physical review E: covering statistical, nonlinear, biological, and soft matter physics.  109:1-13. 2024
  • Scale-Free chaos in the 2D harmonically confined Vicsek model.  Entropy.  25:1644-1-1644-19. 2023
  • Coarse-graining the vertex model and its response to shear.  Physical review E: covering statistical, nonlinear, biological, and soft matter physics.  108. 2023
  • Charging capacitors from thermal fluctuations using diodes.  Physical review E: covering statistical, nonlinear, biological, and soft matter physics.  108:1-12. 2023
  • Freestanding graphene heat engine analyzed using stochastic thermodynamics.  AIP Advances.  13:1-7. 2023
  • Mean field theory of chaotic insect swarms.  Physical review E: covering statistical, nonlinear, biological, and soft matter physics.  107:L062601-1-L062601-6. 2023
  • Scale-free chaos in the confined Vicsek flocking model.  Physical review E: covering statistical, nonlinear, biological, and soft matter physics.  107:1-24. 2023
  • Hyperchaos, intermittency, noise and disorder in modified semiconductor superlattices.  Entropy.  24:1-25. 2022
  • Fingering instability in spreading epithelial monolayers: roles of cell polarisation, substrate friction and contractile stresses.  Soft Matter.  17:8276-8290. 2021
  • Kovacs memory effect with an optically levitated nanoparticle.  PHYSICAL REVIEW LETTERS.  127:130603-1-130603-6. 2021
  • Uncovering spatio-temporal patterns in semiconductor superlattices by efficient data processing tools.  Physical review E: covering statistical, nonlinear, biological, and soft matter physics.  104:035303-1-035303-19. 2021
  • 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
  • Tracking collective cell motion by topological data analysis.  PLoS Computational Biology.  16:1-43. 2020
  • 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
  • Numerical study of the rippling instability driven by electron-phonon coupling in graphene.  PHYSICAL REVIEW B.  101:1-10. 2020
  • Fluctuation-induced current from freestanding graphene.  Physical review E: covering statistical, nonlinear, biological, and soft matter physics.  102. 2020
  • Notch signaling and taxis mechanisms regulate early stage angiogenesis: A mathematical and computational model.  PLoS Computational Biology.  16:1-31. 2020
  • Active Ornstein-Uhlenbeck particles.  Physical review E: covering statistical, nonlinear, biological, and soft matter physics.  100. 2019
  • Contrarian compulsions produce exotic time-dependent flocking of active particles.  Physical review E: covering statistical, nonlinear, biological, and soft matter physics.  99:1-19. 2019
  • A convergent numerical scheme for integrodifferential kinetic models of angiogenesis.  JOURNAL OF COMPUTATIONAL PHYSICS.  375:1270-1294. 2018
  • Crossover between parabolic and hyperbolic scaling, oscillatory modes and resonances near flocking.  Physical review E: covering statistical, nonlinear, biological, and soft matter physics.  98:1-15. 2018
  • Coherence Resonance and Stochastic Resonance in an Excitable Semiconductor Superlattice.  PHYSICAL REVIEW LETTERS.  121 (086805). 2018
  • Variational formulation, asymptotic analysis, and finite element simulation of wrinkling phenomena in modified plate equations modeling biofilms growing on agar substrates.  COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING.  333:257-286. 2018
  • Fast Detection of a Weak Signal by a Stochastic Resonance Induced by a Coherence Resonance in an Excitable GaAs/Al0.45Ga0.55As Superlattice.  PHYSICAL REVIEW LETTERS.  2018
  • Bifurcation analysis and phase diagram of a spin-string model with buckled states.  Physical review E: covering statistical, nonlinear, biological, and soft matter physics.  96. 2017
  • 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
  • Strain engineering of graphene nanoribbons: pseudomagnetic versus external magnetic fields.  EUROPEAN PHYSICAL JOURNAL B.  90. 2017
  • Ordered, Disordered and Partially Synchronized Schools of Fish.  INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION.  18:163-174. 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
  • STM-driven transition from rippled to buckled graphene in a spin-membrane model.  PHYSICAL REVIEW B.  94:205404-1-205404-8. 2016
  • Axial ligand effect on the catalytic activity of biomimetic Fe-porphyrin catalyst: an experimental and DFT study.  JOURNAL OF CATALYSIS.  344:768-777. 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
  • Critical radius and temperature for buckling in graphene.  PHYSICAL REVIEW B.  93:115407-1-115407-9. 2016
  • Pseudospin lifetime in relaxed-shape armchair graphene nanoribbons due to in-plane phonon modes.  PHYSICAL REVIEW B.  93:115417-1-115417-6. 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
  • Wavelength selection of rippling patterns in myxobacteria.  Physical review E: covering statistical, nonlinear, biological, and soft matter physics.  93:012412-1-012412-13. 2016
  • Measuring strain and rotation fields at the dislocation core in graphene.  PHYSICAL REVIEW B.  92. 2015
  • Theory of force-extension curves for modular proteins and DNA hairpins.  Physical review E: statistical, nonlinear, and soft matter physics.  91. 2015
  • Ripples in hexagonal lattices of atoms coupled to Glauber spins.  JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT.  2015. 2015
  • Hybrid modeling of tumor-induced angiogenesis.  Physical review E: statistical, nonlinear, and soft matter physics.  90. 2014
  • Thermoelectromechanical effects in relaxed-shape graphene and band structures of graphene quantum dots.  PHYSICAL REVIEW B.  90. 2014
  • Dynamics of optically injected currents in carbon nanotubes.  PHYSICAL REVIEW B.  90. 2014
  • Protein unfolding and refolding as transitions through virtual states.  EPL.  108. 2014
  • Noise-enhanced spontaneous chaos in semiconductor superlattices at room temperature.  EPL.  107:1-6. 2014
  • Influence of primary-particle density in the morphology of agglomerates.  Physical review E: statistical, nonlinear, and soft matter physics.  90. 2014
  • Gate control of Berry phase in III-V semiconductor quantum dots.  PHYSICAL REVIEW B.  89. 2014
  • Higher-order averaging of Fokker-Planck equations for nonlinear fiber lay-down processes.  SIAM JOURNAL ON APPLIED MATHEMATICS.  74:366-391. 2014
  • Spin echo dynamics under an applied drift field in graphene nanoribbon superlattices.  APPLIED PHYSICS LETTERS.  103:1-5. 2013
  • Transport in semiconductor nanowire superlattices described by coupled quantum mechanical and kinetic models.  JOURNAL OF PHYSICS-CONDENSED MATTER.  25:1-12. 2013
  • Temperature-dependent dynamical nuclear polarization bistabilities in double quantum dots in the spin-blockade regime.  PHYSICAL REVIEW B.  88:1-24. 2013
  • Sawtooth patterns in force-extension curves of biomolecules: An equilibrium-statistical-mechanics theory.  Physical review E: statistical, nonlinear, and soft matter physics.  88:1-4. 2013
  • Coupled multiphysics, barrier localization, and critical radius effects in embedded nanowire superlattices.  JOURNAL OF APPLIED PHYSICS.  113:1-12. 2013
  • Effects of noise on hysteresis and resonance width in graphene and nanotubes resonators.  PHYSICAL REVIEW B.  87:1-6. 2013
  • Spin transition rates in nanowire superlattices: Rashba spin-orbit coupling effects.  JOURNAL OF PHYSICS D-APPLIED PHYSICS.  46:1-6. 2013
  • Electrical control of phonon-mediated spin relaxation rate in semiconductor quantum dots: Rashba versus Dresselhaus spin-orbit coupling.  PHYSICAL REVIEW B.  87:1-6. 2013
  • Numerical methods for kinetic equations in semiconductor superlattices.  COMPUTER PHYSICS COMMUNICATIONS.  184:720-731. 2013
  • Velocity of pulses in discrete excitable systems.  NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS.  13:2794-2803. 2012
  • Higher order averaging of linear fokker-planck equations with periodic forcing.  SIAM JOURNAL ON APPLIED MATHEMATICS.  72:1315-1342. 2012
  • Model of ripples in graphene.  PHYSICAL REVIEW B.  86:1-8. 2012
  • Ripples in a graphene membrane coupled to Glauber spins.  JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT.  2012
  • Theory of homogeneous vapour condensation and surface deposition from boundary layers.  JOURNAL OF FLUID MECHANICS.  706:534-559. 2012
  • Spin-oscillator model for the unzipping of biomolecules by mechanical force.  Physical review E: statistical, nonlinear, and soft matter physics.  86. 2012
  • Driving Dislocations in Graphene.  SCIENCE.  337:161-162. 2012
  • Numerical method for hydrodynamic modulation equations describing Bloch oscillations in semiconductor superlattices.  JOURNAL OF COMPUTATIONAL PHYSICS.  231:4499-4514. 2012
  • Ripples in a string coupled to Glauber spins.  Physical review E: statistical, nonlinear, and soft matter physics.  85:1-7. 2012
  • The influence of anisotropic gate potentials on the phonon induced spin-flip rate in GaAs quantum dots.  APPLIED PHYSICS LETTERS.  100:1-4. 2012
  • Theory of spatially inhomogeneous Bloch oscillations in semiconductor superlattices.  PHYSICAL REVIEW B.  84:1-17. 2011
  • Wave fronts, pulses and wave trains in photoexcited superlattices behaving as excitable or oscillatory media.  Journal of Physics A-Mathematical and Theoretical.  44:1-19. 2011
  • Spatially confined Bloch oscillations in semiconductor superlattices.  EPL.  95. 2011
  • Theory of defect dynamics in graphene: defect groupings and their stability.  CONTINUUM MECHANICS AND THERMODYNAMICS.  23:337-346. 2011
  • Nonequilibrium free energy, H theorem and self-sustained oscillations for Boltzmann-BGK descriptions of semiconductor superlattices.  JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT.  1-15. 2011
  • Nonequilibrium Dynamics of a Fast Oscillator Coupled to Glauber Spins.  JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT.  2010:1-32. 2010
  • Two Miniband Model for Self-Sustained Oscillations of the Current through Resonant-Tunneling Semiconductor Superlattices.  PHYSICAL REVIEW B.  82:35305. 2010
  • Phase Transitions in a Mechanical System Coupled to Glauber Spins.  JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT.  2010:6016. 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
  • Photo-Excited Semiconductor Superlattices as Constrained Excitable Media: Motion of Dipole Domains and Current Self-Oscillations.  PHYSICAL REVIEW B.  81:35322. 2010
  • Toy Nanoindentation Model and Incipient Plasticity.  CHAOS SOLITONS & FRACTALS.  42:1623-1630. 2009
  • Self-Sustained Current Oscillations in the Kinetic Theory of Semiconductor Superlattices.  JOURNAL OF COMPUTATIONAL PHYSICS.  228:7689-7705. 2009
  • Magnetoswitching of Current Oscillations in Dilute Magnetic Semiconductor Nanostructures.  PHYSICAL REVIEW B.  80:155202. 2009
  • Theory of Surface Deposition from Boundary Layers Containing Condensable Vapour and Particles.  JOURNAL OF FLUID MECHANICS.  626:183-210. 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
  • Periodized Discrete Elasticity Models for Defects in Graphene.  PHYSICAL REVIEW B.  78:85406. 2008
  • Nonlinear Electron and Spin Transport in Semiconductor Superlattices.  SIAM JOURNAL ON APPLIED MATHEMATICS.  69:494-513. 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
  • Dislocations in Graphene.  NEW JOURNAL OF PHYSICS.  10:53021. 2008
  • Homogeneous Nucleation of Opposite Moving Dipole Domains and Current Self-Oscillations in Undoped Photoexcited Superlattices.  PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES.  40:1209-1211. 2008
  • Multiquantum Well Spin Polarized Current Oscillator.  PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES.  40:1099-1101. 2008
  • Homogeneous Nucleation of Dislocations as Bifurcations in a Periodized Discrete Elasticity Model.  EPL.  81:36001. 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
  • Nonlinear Electron and Spin Transport in Semiconductor Superlattices. In: Progress in Industrial Mathematics at ECMI 2008.  SPRINGER VERLAG GMBH. 141-146. 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
  • Theory of Surface Deposition from Boundary Layers Containing Condensable Vapor and Particles. In: Progress in Industrial Mathematics at ECMI 2008.  SPRINGER VERLAG GMBH. 469-474. 2010
  • Heterogeneous Vapor Condensation in Boundary Layers. In: Numerical Analysis and Applied Mathematics: International Conference on Numerical Analysis and Applied Mathematics 2008. AIP conference Proceedings.  AIPC. 917-920. 2008
  • 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
  • Depinning and Motion of Crystal Dislocations. In: Continuum Models and Discrete Systems CMDS 11: Proceedings of the International Symposium held in Paris, July 30th-August 2rd 2007.  ÉCOLE DES MINES DE PARIS. 259-264. 2008
  • Homogeneous Nucleation of Dislocations. In: Continuum Models and Discrete Systems CMDS 11: Proceedings of the International Symposium Held in Paris, July 30th-August 2rd 2007.  ÉCOLE DES MINES DE PARIS. 265-270. 2008
  • Dynamics and nucleation of dislocation in crystals. In: Oberwolfach reports VOL. 4 (4) (in Report 58 Material Theories).  3390-3392. 2008
  • Critical Thickness for Misfit Dislocation Formation in InAs/GaAs(110) Heteroepitaxy. In: Progress in Industrial Mathematics at ECMI 2006.  SPRINGER VERLAG GMBH. 381-386. 2008
  • Homogeneous Nucleation of Dipole Domains and Current Self-Oscillations in Photoexcited Semiconductor Superlattices. In: Progress in Industrial Mathematics at ECMI 2006.  SPRINGER VERLAG GMBH. 812-816. 2008

• books 

  • Nonlinear Wave Methods for Charge Transport.  WEINHEIM: WILEY. 2010
  • Inverse Problems and Imaging: Lectures Given at the C.I.M.E. Summer School Held in Martina Franca, Italy, September 15-21, 2002.  BERLIN: SPRINGER. 2008
  • Progress in Industrial Mathematics at ECMI 2006.  BERLIN: SPRINGER. 2008

• conference contributions 

  • Bifurcation theory of swarm formation 2019
  • Crossover between parabolic and hyperbolic scaling, oscillatory modes and resonances near flocking 2019
  • Dynamics Driven by Noise in Condensed Matter and Active Matter Systems.  121-121. 2019
  • Novel Noise-Driven Dynamics in Far-from-Equilibrium Systems.  54-54. 2019
  • Organized Brownian Motion in Freestanding Graphene: A New Type of Thermal Motion 2019
  • Spontaneous thermal fluctuations of ripples in suspended graphene and energy harvesting.  127-127. 2019
  • 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
  • Nonlinear quantum mechanics 2016
  • STM driven transition from rippled to buckled graphene in a spin-membrane model 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
  • Tumor induced angiogenesis: ensemble averages and solitons 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
  • Defects and Ripples in Graphene 2013
  • Dislocations in graphene 2013
  • Strain and Rotation Fields of Dislocations in Graphene 2013
  • 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
  • Defects and Ripples in Graphene 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
  • 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
  • Static and Dynamics of a Harmonic Oscillator Coupled to a one-Dimensional Ising System.  232-234. 2011
  • Critical Thickness for Misfit Dislocation Formation in InAs/GaAs(110) Heteroepitaxy.  381-386. 2008
  • Dislocations in Graphene 2008
  • Heterogeneous Vapor Condensation in Boundary Layers 2008
  • Heterogeneous Vapor Condensation in Boundary Layers 2008
  • Homogeneous Branched-Chain Explosions 2008
  • Kinetic Theory of Bolch Oscillations 2008
  • Nonlinear Electron Transport in Nanostructures.  9-12. 2008
  • Self-Sustained Spin-Polarized Current Oscillations in Diluted Magnetic Semiconductor Superlattices 2008
  • Theory of Surface Deposition from Boundary Layers Containing Condensable Vapor and Particles 2008