Início Pesquisa Disciplinas

Interesse de pesquisa:

Meu principal interesse de pesquisa está voltado para a modelagem matemática de fenômenos de transporte e a análise numérica dos métodos numericos que podem ser usados para resolver numericamente os PDE's associados a esses modelos. Deduzindo modelos baseados nas leis físicas que governam os processos, estou preocupado em criar um trabalho interdisciplinar entre a matemática e os diferentes domínios da ciência em que esses tipos de problemas são de interesse.

Artigos publicados em revistas:

  • J.A. Ferreira, M. Grassi, E. Gudiño, P. de Oliveira, Non-Fickian diffusion enhanced by temperature. Journal of Computational and Applied Mathematics, Volume 457, 116314, 2025
  • J.A.Ferreira, M.B.Gonçalves, E.Gudiño, M.Maia, Mathematical modeling for drug delivery and inflammation process: an application in macular edema. APPLIED MATHEMATICAL MODELLING, v. 121, p. 668-689, 2023.
  • T. M. de Almeida, I. R. Neto, R. Consalter, F. T. Brum, E. Gudiño, M. C. V. da Costa-Ribeiro, Predictive modeling of sand fly distribution incriminated in the transmission of Leishmania (Viannia) braziliensis and the incidence of Cutaneous Leishmaniasis in the state of Paraná, Brazi, Acta Tropica Volume 229, May 2022, 106335.
  • J.A.Ferreira, M.B.Gonçalves, E.Gudiño, M.Maia, C.M.Oishi, Mathematical model for degradation and drug release from an intravitreal biodegradable implant, Computers & Mathematics with Applications, Volume 80, Issue 10, 2212-2240, 2020.
  • E. Gudiño , C. M. Oishi, A. Sequeira, Influence of non-Newtonian blood flow models on drug deposition in the arterial wall, Journal of Non-Newtonian Fluid Mechanics 274, 104206, 2019.
  • G. Chiarappa, M. D. De'Nobili, A. M. Rojas, M. Abrami, R. Lapasin, G. Grassi, J. A. Ferreira, E. Gudiño, P. De Oliveira, M. Grassi, Mathematical modeling of L-(+)-asc orbic acid delivery from pectinfilms (packaging) to agar hydrogels (food), Journal of Food Engineering, 234, 73-81, 2018.
  • E. Gudiño, C. M. Oishi, A. Sequeira, Modeling of non-Fickian diffusion and dissolution from a thin polymeric coating: an application to drug-eluting stents, Int J Numer Methods Eng. 114, 292–320, 2018.
  • E. Gudiño, A. Sequeira, multiscale boundary conditions for drug dissolution applied to drug-eluting stents, Multiscale Model. Simul. 15(4), 1748-1767, 2017.
  • E. Gudiño, C. M. Oishi, A. Sequeira, Multiscale Boundary Conditions for Non-Fickian Diffusion Applied to Drug-Eluting Stents, SIAM J. Appl. Math., 77(4), 1184-1203, 2017.
  • E. Gudiño, A. Sequeira, 3D Mathematical model for blood flow and non-Fickian mass transport by a coronary drug-eluting stent, Applied Mathematical Modelling, 46, 161-180, 2017.
  • - J.A. Ferreira, M. Grassi, E. Gudiño, P. de Oliveira, A new look to non-Fickian diffusion, Applied Mathematical Modelling, 39, 194-204, 2015.
  • J.A. Ferreira, M. Grassi, E. Gudiño, P. de Oliveira, A 3D model for mechanistic control of drug release, SIAM Journal on Applied Mathematics, Volume 74 (3), 620-633, 2014.
  • J.A. Ferreira, E. Gudiño, P. de Oliveira, A second order approximation for quasilinear non-Fickian diffusion models, Computational Methods in Applied Mathematics, 13 (4), 471-493, 2013.
  • E. Gudiño, J. Rada, A Lower bound for the spectral radius of a digraph, Linear Algebra and its Applications, Volume 433 (1), 233-240, 2010.
  • I. Gutman, E. Gudiño, D. Quiroz, Upper bound for the energy of graphs with fixed second and fourth spectral moments, Kragujevac Journal of Mathematics, 32, 27-35, 2009.
  • Artigos publicados em anais de congressos:

  • G. Chiarappa, M. D. De'Nobili, A. M. Rojas, M. Abrami, R. Lapasin, G. Grassi, P. De Oliveira, J. A. Ferreira, E. Gudiño, M. Grassi, Studio matematico di un sistema antiossidante per uso alimentare a base di acido ascorbico. In: XIV Convegno dell'Associazione Italiana di Reologia-SIR, 2016, Montepaone Lido. Atti del XIV Convegno dell'Associazione Italiana di Reologia-SIR, v. 1. (2016), pp. 75-80.
  • G. Chiarappa, M. D. De'Nobili, A. M. Rojas, M. Abrami, R. Lapasin, G. Grassi, P. De Oliveira, J. A. Ferreira, E. Gudiño, M. Grassi, Rilascio di farmaci da matrici viscoelastiche: punto di incontro tra modello e dati sperimentali. In: XIV Convegno dell'Associazione Italiana di Reologia-SIR, 2016, Montepaone Lido. Atti del XIV Convegno dell'Associazione Italiana di Reologia-SIR, v. 1. (2016), pp. 31-36.
  • J.A. Ferreira, M. Grassi, E. Gudiño, P. de Oliveira, A mathematical model for controlled drug delivery in swelling polymers, CMMSE 2013: Proceedings of the 13th International Conference on Mathematical Methods in Science and Engineering, Volume 2, 630-641, 2013.
  • J.A. Ferreira, E. Gudiño, P. de Oliveira, Analytical and Numerical Study of Memory Formalisms in Diffusion Processes, Modelling and Simulation in Fluid Dynamics in Porous Media Springer Proceedings in Mathematics & Statistics, Volume 28, 67-85, 2013.