Friday, 08 October 2021 12:00


Bernhard A. Schrefler

University of Padova, Italy

IAS-TUM, Munich

Houston Methodist Research Institute, Houston, TX


Computational Transport Oncophysics [1] provides the computational tools which, together with imaging, analysis and quantification, will contribute to rationalize the delivery of therapeutic agents and to evaluate their efficiency, forming an oncophysical modeling framework. This framework should comprise a tumor growth model within the local tumor environment, including drug delivery. A very general multiphase flow model in an extracellular matrix (ECM) will be presented, dealt with as a deforming porous solid which may undergo remodeling; it comprises three fluid phases, i.e., tumor cells (TCs), divided into living and necrotic cells, healthy cells (HCs) and interstitial fluid (IF). The IF transports chemical species such as tumor angiogenic factor (TAF), nutrients and therapeutic agents. Transport of these species within extravascular space takes place by convection and diffusion. Coopted blood vessels are included as line elements with blood flow exchanging nutrients and therapeutic agents with the IF. Angiogenesis is represented by the blood vessel density (density of newly created endothelial cells) which belongs to an additional phase. The model accounts not only for growth and necrosis but also for migration of cells through the ECM, build-up of cortical tension between healthy and tumor tissues and invasion of the healthy tissue by the tumor tissue or vice versa, mediated by these cortical tensions. Furthermore, it allows for modeling lysis, adhesion of the cells to their ECMs, adhesion among cells and possible detachment as well as the effects of drugs. Examples of these cases will be shown.

  1. Michor, F., J. Liphardt, M. Ferrari, and J. Widom, What does physics have to do with cancer? Nature Reviews Cancer, 2011. 11(9): p. 657-670.


Bernhard A. Schrefler holds a PhD and DSc from the Swansea University, Wales. He is Secretary General of the International Centre for Mechanical Sciences (CISM) in Udine, Professor Emeritus of the University of Padua, Affiliated Professor, Institute of Academic Medicine, Houston, TX and Hans Fischer Senior Fellow of the Institute for Advanced Study, Technical University of Munich. For his research activity, he has been awarded the Maurice A. Biot Medal from ASCE, the Euler Medal from ECCOMAS, the Computational Mechanics Award from IACM, the IACM Award, the Gauss-Newton Medal from IACM, the Interpore Lifetime Honorary Membership Award, and the Palmes Académiques in France. He has received honorary doctorates from the St. Petersburg State Technical University, the University of Technology of Lodz, the Leibniz University of Hannover, the Russian Academy of Sciences, and the Ecole Normale Supérieure at Cachan, an honorary fellowship from the University of Wales Swansea and an honorary professorship from the Dalian University of Technology. His research activity has addressed problems in structural mechanics, porous media mechanics, controlled thermomechanical fusion and mechanics in medicine. His current research focuses on tumor growth modeling and transport of nanoparticles in diseased microvasculature and on hydraulic fracturing.

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