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