An MRI-informed poromechanical model for organ-scale prediction of glioma growth

Meryem Abbad Andaloussi, Stéphane Urcun, David A. Hormuth, Guillermo Lorenzo, Giuseppe Sciumè, Chengyue Wu, Thomas E. Yankeelov, Stéphane P. A. Bordas

Computer Methods in Applied Mechanics and Engineering, vol. 462, 2026, p. 119305

Iterative algorithms for the reconstruction of early stages of prostate cancer growth

Elena Beretta, Cecilia Cavaterra, Matteo Fornoni, Guillermo Lorenzo, Elisabetta Rocca

Journal of Nonlinear Science, vol. 36, 2026, p. 5

Integrating imaging and mathematical modeling to predict and optimize patient outcomes in oncology

Reshmi J. S. Patel, Ayesha Das, Aliya Anil, Gauri Patel, Ryan T. Woodall, Chase Christenson, Tarini Thiagarajan, Ernesto A. B. F. Lima, Guillermo Lorenzo, David A. Hormuth, Russell C. Rockne, Vikram Adhikarla, Chengyue Wu, Thomas E. Yankeelov

npj Systems Biology and Applications, 2026

The future of mathematical oncology in the age of AI

Russell C. Rockne, Morten Andersen, Alexander R. A. Anderson, David Basanta, Angela Bentivegna, Sebastien Benzekry, Sergio Branciamore, Sarah C. Brüningk, Martina Conte, Farnoush Farahpour, Aleksandra Karolak, Alvaro Köhn-Luque, Guillermo Lorenzo, Babgen Manookian, Andrei S. Rodin, Lara Schmalenstroer, Juan Soler, Cristian Tomasetti, Konstancja Urbaniak

npj Systems Biology and Applications, vol. 12, 2026, p. 22

Characterizing tumor cell movement in partial differential equation models of triple negative breast cancer receiving neoadjuvant therapy

Casey E. Stowers, Chengyue Wu, Guillermo Lorenzo, David A. Hormuth, Clinton Yam, Jingfei Ma, Gaiane M. Rauch, Thomas E. Yankeelov

Annals of Biomedical Engineering, 2026

A critical assessment of artificial intelligence in magnetic resonance imaging of cancer

Chengyue Wu, Meryem Abbad Andaloussi, David A. Hormuth, Ernesto A. B. F. Lima, Guillermo Lorenzo, Casey E. Stowers, Sriram Ravula, Brett Levac, Alexandros G. Dimakis, Jonathan I. Tamir, Kristy K. Brock, Caroline Chung, Thomas E. Yankeelov

npj Imaging, vol. 3, 2025, p. 15

Mathematical analysis of a model-constrained inverse problem for the reconstruction of early stages of prostate cancer growth

Elena Beretta, Cecilia Cavaterra, Matteo Fornoni, Guillermo Lorenzo, Elisabetta Rocca

SIAM Journal on Applied Mathematics, vol. 84(5), 2024, pp. 2000-2027

Dynamic parameterization of a modified SEIRD model to analyze and forecast the dynamics of COVID-19 outbreaks in the United States

Orhun O Davarci, Emily Y Yang, Alexander Viguerie, Thomas E Yankeelov, Guillermo Lorenzo

Engineering with Computers, vol. 40, 2024, pp. 813–837

Patient-specific, mechanistic models of tumor growth incorporating artificial intelligence and big data

Guillermo Lorenzo, Syed Rakin Ahmed, David A. Hormuth, Brenna Vaughn, Jayashree Kalpathy-Cramer, Luis Solorio, Thomas E. Yankeelov, Hector Gomez

Annual Review of Biomedical Engineering, vol. 26, 2024, pp. 529-560

A Pilot Study on Patient-specific Computational Forecasting of Prostate Cancer Growth during Active Surveillance Using an Imaging-informed Biomechanistic Model

Guillermo Lorenzo, Jon S Heiselman, Michael A Liss, Michael I Miga, Hector Gomez, Thomas E Yankeelov, Alessandro Reali, Thomas JR Hughes

Cancer Research Communications, vol. 4, 2024, pp. 617-633

A global sensitivity analysis of a mechanistic model of neoadjuvant chemotherapy for triple negative breast cancer constrained by in vitro and in vivo imaging data

Guillermo Lorenzo, Angela M Jarrett, Christian T Meyer, Julie C DiCarlo, John Virostko, Vito Quaranta, Darren R Tyson, Thomas E Yankeelov

Engineering with Computers, vol. 40, 2024, pp. 1469-1499

A mathematical model for predicting the spatiotemporal response of breast cancer cells treated with doxorubicin

Hugo JM Miniere, Ernesto ABF Lima, Guillermo Lorenzo, David A Hormuth, Sophia Ty, Amy Brock, Thomas E Yankeelov

Cancer Biology & Therapy, vol. 25, 2024, p. 2321769

Designing clinical trials for patients who are not average

Thomas E Yankeelov, David A Hormuth, Ernesto ABF Lima, Guillermo Lorenzo, Chengyue Wu, Lois C Okereke, Gaiane M Rauch, Aradhana M Venkatesan, Caroline Chung

Iscience, vol. 27, 2024, p. 108589

Predictive digital twin for optimizing patient-specific radiotherapy regimens under uncertainty in high-grade gliomas

Anirban Chaudhuri, Graham Pash, David A Hormuth, Guillermo Lorenzo, Michael Kapteyn, Chengyue Wu, Ernesto ABF Lima, Thomas E Yankeelov, Karen Willcox

Frontiers in Artificial Intelligence, vol. 6, 2023, p. 1222612

Chapter 25. Emerging Techniques in breast MRI

Anum S. Kazerouni, Adrienne N. Dula, Angela M. Jarrett, Guillermo Lorenzo, Jared A. Weis, James A. Bankson, Eduard Y. Chekmenev, Federico Pineda, Gregory S. Karczmar, Thomas E. Yankeelov

Advances in Magnetic Resonance Technology and Applications, In: K. Pinker, R. Mann, S. Partridge, Breast MRI: State of the Art and Future Directions, vol. 5, Elsevier, 2022, pp. 503-531

Integrating mechanism-based modeling with biomedical imaging to build digital twins for clinical oncology

Chengyue Wu, Guillermo Lorenzo, David A. Hormuth II, Ernesto A.B.F. Lima, Kalina P. Slavkova, Julie C. DiCarlo, John Virotsko, Caleb M. Phillips, Debra Patt, Caroline Chung, Thomas E. Yankeelov

Biophysics Review, vol. 3(2), 2022, p. 021304

Mathematical characterization of population dynamics in breast cancer cells treated with doxorubicin

Emily Y. Yang, Grant R. Howard, Amy Brock, Thomas E. Yankeelov, Guillermo Lorenzo

Frontiers in Molecular Biosciences, vol. 9, 2022, p. 972146

Patient-specific forecasting of postradiotherapy prostate-specific antigen kinetics enables early prediction of biochemical relapse

Guillermo Lorenzo, Nadia di Muzio, Chiara Lucrezia Deantoni, Cesare Cozzarini, Andrei Fodor, Alberto Briganti, Francesco Montorsi, Víctor M. Pérez-García, Hector Gomez, Alessandro Reali

iScience, vol. 25(11), 2022, p. 105430

Quantitative in vivo imaging to enable tumor forecasting and treatment optimization

Guillermo Lorenzo, David A Hormuth II, Angela M Jarrett, Ernesto ABF Lima, Shashank Subramanian, George Biros, J Tinsley Oden, Thomas JR Hughes, Thomas E Yankeelov

In: Igor Balaz, Andrew Adamatzky, Cancer, Complexity, Computation, Springer, 2022, pp. 55-97

Chapter Six - Oncology and mechanics: Landmark studies and promising clinical applications

Stéphane Urcun, Guillermo Lorenzo, Davide Baroli, Pierre-Yves Rohan, Giuseppe Sciumè, Wafa Skalli, Vincent Lubrano, Stéphane P.A. Bordas

In: S.P.A. Bordas, Advances in Applied Mechanics, vol. 55, Elsevier, 2022, pp. 513-571

Data-Driven Simulation of Fisher-Kolmogorov Tumor Growth Models Using Dynamic Mode Decomposition

Alex Viguerie, Malú Grave, Gabriel F. Barros, Guillermo Lorenzo, Alessandro Reali, Alvaro Coutinho

Journal of Biomechanical Engineering, vol. 144(12), 2022, p. 121001

Towards patient-specific optimization of neoadjuvant treatment protocols for breast cancer based on image-guided fluid dynamics

Chengyue Wu, David Hormuth, Guillermo Lorenzo, Angela Jarrett, Federico Pineda, Frederick M. Howard, Greg Karczmar, Thomas E. Yankeelov

IEEE Transactions on Biomedical Engineering, vol. 69(11), 2022, pp. 3334-3344

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, vol. 111, 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

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, vol. 362, 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, vol. 319, 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