Guillermo Lorenzo


Publications


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Simulating the spread of COVID-19 via a spatially-resolved susceptible–exposed–infected–recovered–deceased (SEIRD) model with heterogeneous diffusion


Alex Viguerie, Guillermo Lorenzo, Ferdinando Auricchio, Davide Baroli, Thomas J.R. Hughes, Alessia Patton, Alessandro Reali, Thomas E. Yankeelov, Alessandro Veneziani


Applied Mathematics Letters, 2021, p. 106617


Math, magnets, and medicine: enabling personalized oncology


David A. Hormuth, Angela M. Jarrett, Guillermo Lorenzo, Ernesto A. B. F. Lima, Chengyue Wu, Caroline Chung, Debra Patt, Thomas E. Yankeelov


Expert Review of Precision Medicine and Drug Development, vol. 6(2), 2021, pp. 79-81


Quantitative in vivo imaging to enable tumor forecasting and treatment optimization


Guillermo Lorenzo, David A. Hormuth, Angela M. Jarrett, Ernesto A. B. F. Lima, Shashank Subramanian, George Biros, J. Tinsley Oden, Thomas J. R. Hughes, Thomas E. Yankeelov


arXiv: Tissues and Organs, 2021


Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth


Pierluigi Colli, Hector Gomez, Guillermo Lorenzo, Gabriela Marinoschi, Alessandro Reali, Elisabetta Rocca


Mathematical Models and Methods in Applied Sciences, vol. 31(7), 2021, pp. 1419-1468


Biologically-Based Mathematical Modeling of Tumor Vasculature and Angiogenesis via Time-Resolved Imaging Data


David A. Hormuth, Caleb M. Phillips, Chengyue Wu, Ernesto A. B. F. Lima, Guillermo Lorenzo, Prashant K. Jha, Angela M. Jarrett, J. Tinsley Oden, Thomas E. Yankeelov


Cancers, vol. 13(12), 2021 May 16


Diffusion-reaction compartmental models formulated in a continuum mechanics framework: application to COVID-19, mathematical analysis, and numerical study


Alex Viguerie, Alessandro Veneziani, Guillermo Lorenzo, Davide Baroli, Nicole Aretz-Nellesen, Alessia Patton, Thomas E. Yankeelov, Alessandro Reali, Thomas J. R. Hughes, Ferdinando Auricchio


Computational Mechanics, vol. 66(5), 2020, pp. 1131–1152


Integrating quantitative assays with biologically based mathematical modeling for predictive oncology


Anum S. Kazerouni, Manasa Gadde, Andrea Gardner, David A. Hormuth, Angela M. Jarrett, Kaitlyn E. Johnson, Ernesto A.B. F. Lima, Guillermo Lorenzo, Caleb Phillips, Amy Brock, Thomas E. Yankeelov


iScience, vol. 23(12), 2020, p. 101807


Patient-specific characterization of breast cancer hemodynamics using image-guided computational fluid dynamics


Chengyue Wu, David A. Hormuth, Todd A. Oliver, Federico Pineda, Guillermo Lorenzo, Gregory S. Karczmar, Robert D. Moser, Thomas E. Yankeelov


IEEE Transactions on Medical Imaging, vol. 39(9), 2020, pp. 2760-2771


A numerical simulation study of the dual role of 5α-reductase inhibitors on tumor growth in prostates enlarged by benign prostatic hyperplasia via stress relaxation and apoptosis upregulation


Guillermo Lorenzo, Thomas J.R. Hughes, Alessandro Reali, Hector Gomez


Computer Methods in Applied Mechanics and Engineering, 2020, p. 112843


Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects


Pierluigi Colli, Hector Gomez, Guillermo Lorenzo, Gabriela Marinoschi, Alessandro Reali, Elisabetta Rocca


Mathematical Models and Methods in Applied Sciences, vol. 30(7), 2020, pp. 1253-1295


Computer simulations suggest that prostate enlargement due to benign prostatic hyperplasia mechanically impedes prostate cancer growth


Guillermo Lorenzo, Thomas J. R. Hughes, Pablo Dominguez-Frojan, Alessandro Reali, Hector Gomez


Proceedings of the National Academy of Sciences of the United States of America, vol. 116(4), 2019, pp. 1152-1161


Mechanistic modelling of prostate-specific antigen dynamics shows potential for personalized prediction of radiation therapy outcome


Guillermo Lorenzo, Víctor M. Pérez-García, Alfonso Mariño, Luis A. Pérez-Romasanta, Alessandro Reali, Hector Gomez


Journal of the Royal Society Interface, vol. 16(157), 2019, p. 20190195


Hierarchically refined and coarsened splines for moving interface problems, with particular application to phase-field models of prostate tumor growth


Guillermo Lorenzo, Michael A. Scott, Kevin Tew, Thomas J.R. Hughes, Hector Gomez


Computer Methods in Applied Mechanics and Engineering, 2017, pp. 515-548


Tissue-scale, personalized modeling and simulation of prostate cancer growth


Guillermo Lorenzo, Michael A. Scott, Kevin Tew, Thomas J. R. Hughes, Yongjie Jessica Zhang, Lei Liu, Guillermo Vilanova, Hector Gomez


Proceedings of the National Academy of Sciences of the United States of America, vol. 113(48), 2016, pp. E7663-E7671