Papers in International Journals

• Gudiño, Elias; Oishi, C.M.; Sequeira, Adélia (2019)  Influence of non-Newtonian blood flow models on drug deposition in the arterial wall . J. Non-Newtonian Fluid Mechanics: 274, 104206.

• Gudiño, Elias; Sequeira, Adélia (2017)  Multiscale boundary conditions for drug dissolution applied to coronary stents . SIAM - Multiscale Modeling and Simulation: Vol. 15(4):1748- 1787, DOI: 10.1137/16M1088946.

• Gudiño, Elias; Oishi, C. M. ; Sequeira, Adélia (2017)  Multiscale boundary conditions for non-Fickian diffusion applied to drug eluting stents . SIAM Journal of Applied Mathematics: 77(4), 1184-1203.

• Gudiño, Elias; Oishi, C. M. ; Sequeira, Adélia (2017)  Modeling of non-Fickian diffusion and dissolution from a thin polymeric coating: an application on drug-eluting stents . International Journal for Numerical Methods in Engineering: 1-26, published online.

• Gudiño, Elias; Sequeira, Adélia (2017)  3D Mathematical model for blood flow and non-Fickian mass transport by a coronary drug-eluting stent . Applied Mathematical Modelling: 46, 161-180.

• Gudiño, Elias; Grassi, Mario; Ferreira, José A.; De Oliveira, Paula (2015)  A new look to non-Fickian diffusion . Applied Mathematical Modelling: 39, 194-204.

• Gudiño, Elias; Grassi, Mario; Ferreira, José A.; De Oliveira, Paula (2014)  A 3D model for mechanistic control of drug release . SIAM Journal on Applied Mathematics: 74(3), 620-633.

• Gudiño, Elias; Ferreira, José A.; De Oliveira, Paula (2013)  A second order approximation for quasilinear non-Fickian diffusion models . Computational Methods in Applied Mathematics: 13(4), 471-493.

• Gudiño, Elias; Rada, Juan (2010)  A Lower bound for the spectral radius of a digraph . Linear Algebra and its Applications: 433(1), 233–240.

• Gudiño, Elias; Gutman, Ivan; Quiroz, Domingo (2009)  Upper bound for the energy of graphs with fixed second and fourth spectral moments . Kragujevac Journal of Mathematics: 32, 27-35.

Papers or Chapters in Edited Books

• Gudiño, Elias; Ferreira, José A.; De Oliveira, Paula (2013)  Analytical and Numerical Study of Memory Formalisms in Diffusion Processes . Modelling and Simulation in Fluid Dynamics in Porous Media Springer Proceedings in Mathematics & Statistics, Springer New York: 28, 67-85.

Communications in Conference Proceedings

• Gudiño, Elias; Grassi, Mario; Ferreira, José A.; De Oliveira, Paula (2013)  A mathematical model for controlled drug delivery in swelling polymers . Proceedings of the 13th International Conference on Mathematical Methods in Science and Engineering (CMMSE 2013): 2, 630-641.

Thesis

• Gudiño, Elias (2014)  Recent developments in non-Fickian diffusion: a new look at viscoelastic materials . PhD in Mathematics, Universidade de Coimbra.

• Gudiño, Elias (2009)  Cotas superiores para la energía de un digrafo . MsC in Mathematics, Universidad Simón Bolívar.