[en] Clinical management of cancer has continuously evolved for several decades.
Biochemical, molecular and genomics approaches have brought and still bring numerous insights into cancerous diseases.
It is now accepted that some phenomena, allowed by favorable biological conditions, emerge via mechanical signaling at the cellular scale and via mechanical forces at the macroscale. Mechanical phenomena in cancer have been studied in-depth over the last decades, and their clinical applications are starting to be understood. If numerous models and experimental setups have been proposed, only a few have led to clinical applications. The objective of this contribution is to propose to review a large scope of mechanical findings which have consequences on the clinical management of cancer. This review is mainly addressed to doctoral candidates in mechanics and applied mathematics who are faced with the challenge of the mechanics-based modeling of cancer with the aim of clinical applications. We show that the collaboration of the biological and mechanical approaches has led to promising advances in terms of modeling, experimental design and therapeutic targets. Additionally, a specific focus is brought on imaging-informed mechanics-based models, which we believe can further the development of new therapeutic targets and the advent of personalized medicine. We study in detail several successful workflows on patient-specific targeted therapies based on mechanistic modeling.
Disciplines :
Physical, chemical, mathematical & earth Sciences: Multidisciplinary, general & others
Author, co-author :
URCUN, Stephane ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Engineering (DoE)
Lorenzo, Guillermo; University of Texas at Austin, US > Oden Institute for Computational Engineering and Sciences
Baroli, Davide; Università della Svizzera Italiana, CH > Euler Institute
Rohan, Pierre-Yves; Arts et Metiers Institute of Technology, Paris, FR > IBHGC
Sciumè, Giuseppe; University of Bordeaux, FR > I2M Bordeaux
Skalli, Wafa; Arts et Metiers Institute of Technology, Paris, FR > IBHGC
A. Agosti, C. Giverso, E. Faggiano, A. Stamm, and P. Ciarletta A personalized mathematical tool for neuro-oncology: A clinical case study International Journal of Non-Linear Mechanics 107 2018 170 181
H. Akaike A new look at the statistical model identification IEEE Transactions on Automatic Control 19 6 1974 716 723
K. Alessandri, B.R. Sarangi, V.V. Gurchenkov, B. Sinha, T.R. Kießling, and L. Fetler P. Nassoy Cellular capsules as a tool for multicellular spheroid production and for investigating the mechanics of tumor progression in vitro Proceedings of the National Academy of Sciences of the United States of America 110 37 2013 14843 14848 https://www.pnas.org/content/110/37/14843
A.L. Alexander, J.E. Lee, M. Lazar, and A.S. Field Diffusion tensor imaging of the brain Neurotherapeutics 4 2007 316 329 10.1016/j.nurt.2007.05.011
A. Almuhaideb, N. Papathanasiou, and J. Bomanji 18F-FDG PET/CT imaging in oncology Annals of Saudi Medicine 31 1 2011 3 13 10.4103/0256-4947.75771
G.L. Andriole, D.G. Bostwick, O.W. Brawley, L.G. Gomella, M. Marberger, and F. Montorsi R.S. Rittmaster Effect of dutasteride on the risk of prostate cancer The New England Journal of Medicine 362 13 2010 1192 1202
S. Angeli, K.E. Emblem, P. Due-Tonnessen, and T. Stylianopoulos Towards patient-specific modeling of brain tumor growth and formation of secondary nodes guided by DTI-MRI NeuroImage: Clinical 20 2018 664 673
N.C. Atuegwu, L.R. Arlinghaus, X. Li, E.B. Welch, A.B. Chakravarthy, J.C. Gore, and T.E. Yankeelov Integration of diffusion-weighted MRI data and a simple mathematical model to predict breast tumor cellularity during neoadjuvant chemotherapy Magnetic Resonance in Medicine 66 6 2011 1689 1696
K.N. Aycock, and R.V. Davalos Irreversible electroporation: Background, theory, and review of recent developments in clinical oncology Bioelectricity 1 4 2019 214 234 10.1089/bioe.2019.0029
S. Bakas, M. Reyes, A. Jakab, S. Bauer, M. Rempfler, A. Crimi, and R.T. Shinohara Identifying the best machine learning algorithms for brain tumor segmentation, progression assessment, and overall survival prediction in the BRATS challenge. 2019
V. Baliyan, C.J. Das, R. Sharma, and A.K. Gupta Diffusion weighted imaging: Technique and applications World Journal of Radiology 8 2016 785 798 10.4329/wjr.v8.i9.785
J.M. Barnes, L. Przybyla, and V.M. Weaver Tissue mechanics regulate brain development, homeostasis and disease Journal of Cell Science 130 1 2017 71 82 10.1242/jcs.191742 https://jcs.biologists.org/content/130/1/71
J. Bauer, M.A.B. Emon, J.J. Staudacher, A.L. Thomas, J. Zessner-Spitzenberg, and G. Mancinelli B. Jung Increased stiffness of the tumor microenvironment in colon cancer stimulates cancer associated fibroblast-mediated prometastatic activin A signaling Nature Scientific Reports 10 2020 50 10.1038/s41598-019-55687-6
S. Bisdas, M. Kirkpatrick, P. Giglio, C. Welsh, M.V. Spampinato, and Z. Rumboldt Cerebral blood volume measurements by perfusion-weighted MR imaging in gliomas: Ready for prime time in predicting short-term outcome and recurrent disease? American Journal of Neuroradiology 30 4 2009 681 688 10.3174/ajnr.A1465 http://www.ajnr.org/content/30/4/681
A. Briganti, F.K.-H. Chun, N. Suardi, A. Gallina, J. Walz, and M. Graefen P.I. Karakiewicz Prostate volume and adverse prostate cancer features: Fact not artifact European journal of cancer 43 18 2007 2669 2677
R. Brossel, A. Yahi, S. David, L. Moreno Velasquez, and J.-M. Guinebretière Mechanical signals inhibit growth of a grafted tumor in vivo: Proof of concept PLOS ONE 11 2016 1 17 10.1371/journal.pone.0152885
H.P. Bui, S. Tomar, H. Courtecuisse, S. Cotin, and S.P.A. Bordas Real-time error control for surgical simulation IEEE Transactions on Biomedical Engineering 65 3 2018 596 607 10.1109/TBME.2017.2695587
B. Burbach, S. O'Flanagan, Q. Shao, P. Roy, K. Young, and J. Slaughter J.C.B.Y. Shimizu Irreversible electroporation augments checkpoint immunotherapy in prostate cancer and promotes tumor antigen-specific tissue-resident memory CD8+ T cells Nature Communications 12 2021 3862
H. Byrne, and L. Preziosi Modelling solid tumour growth using the theory of mixtures Mathematical Medicine and Biology: A Journal of the IMA 20 4 2003 341 366 10.1093/imammb/20.4.341
V.P. Chauhan, Z. Popović, O. Chen, J. Cui, D. Fukumura, M.G. Bawendi, and R.K. Jain Fluorescent nanorods and nanospheres for real-time in vivo probing of nanoparticle shape-dependent tumor penetration Angewandte Chemie International Edition 50 48 2011 11417 11420 10.1002/anie.201104449
V.P. Chauhan, T. Stylianopoulos, J.D. Martin, Z. Popović, O. Chen, and W.S. Kamoun R.K. Jain Normalization of tumour blood vessels improves the delivery of nanomedicines in a size-dependent manner Nature Nanotechnology 7 2012 383 388 10.1038/nnano.2012.45
J. Chen, Z. Wan, J. Zhang, W. Li, Y. Chen, Y. Li, and Y. Duan Medical image segmentation and reconstruction of prostate tumor based on 3D AlexNet Computer Methods and Programs in Biomedicine 200 2021 105878 10.1016/j.cmpb.2020.105878
W. Chen, M.L. Giger, and U. Bick A fuzzy C-means (FCM)-based approach for computerized segmentation of breast lesions in dynamic contrast-enhanced MR images Academic Radiology 13 1 2006 63 72
X. Chen, R.M. Summers, and J. Yao Kidney tumor growth prediction by coupling reaction-diffusion and biomechanical model IEEE Transactions on Biomedical Engineering 60 1 2013 169 173 10.1109/TBME.2012.2222027
G. Cheng, J. Tse, R.K. Jain, and L.L. Munn Micro-environmental mechanical stress controls tumor spheroid size and morphology by suppressing proliferation and inducing apoptosis in cancer cells PLOS ONE 4 2 2009 1 11 10.1371/journal.pone.0004632
P. Cignoni, M. Callieri, M. Corsini, M. Dellepiane, F. Ganovelli, and G. Ranzuglia Meshlab: An open-source mesh processing tool V. Scarano, R.D. Chiara, U. Erra, Eurographics italian chapter conference 2008 The Eurographics Association 129 136
O. Clatz, M. Sermesant, P.-Y. Bondiau, H. Delingette, S.K. Warfield, G. Malandain, and N. Ayache Realistic simulation of the 3-D growth of brain tumors in MR images coupling diffusion with biomechanical deformation IEEE Transactions on Medical Imaging 24 10 2005 1334 1346
P. Colli, H. Gomez, G. Lorenzo, G. Marinoschi, A. Reali, and E. Rocca Mathematical analysis and simulation study of a phase-field model of prostate cancer growth with chemotherapy and antiangiogenic therapy effects Mathematical Models and Methods in Applied Sciences 30 07 2020 1253 1295
M. Colombié, S. Gouard, M. Frindel, A. Vidal, M. Chérel, and F. Kraeber-Bodéré M. Bourgeois Focus on the controversial aspects of 64Cu-ATSM in tumoral hypoxia mapping by PET imaging Frontiers in Medicine 2 2015 58 10.3389/fmed.2015.00058
C. Colpaert, P. Vermeulen, E. Van Marck, and L. Dirix The presence of a fibrotic focus is an independent predictor of early metastasis in Lymph node-negative breast cancer patients The American Journal of Surgical Pathology 25 2001 1557 1558 10.1097/00000478-200112000-00016
J.A. Cottrell, T.J.R. Hughes, and Y. Bazilevs Isogeometric analysis: Toward integration of CAD and FEA 2009 John Wiley & Sons
E. Cukierman, R. Pankov, D.R. Stevens, and K.M. Yamada Taking cell-matrix adhesions to the third dimension Science 294 5547 2001 1708 1712 https://science.sciencemag.org/content/294/5547/1708
R.V. Davalos, L.M. Mir, and B. Rubinsky Tissue ablation with irreversible electroporation Annals of Biomedical Engineering 33 2005 223 10.1007/s10439-005-8981-8
F. Debruyne, J. Barkin, P. van Erps, M. Reis, T.L.J. Tammela, and C. Roehrborn Efficacy and safety of long-term treatment with the dual 5alpha-reductase inhibitor dutasteride in men with symptomatic benign prostatic hyperplasia European Urology 46 4 2004 488 495
Y. Dong, A.M. Skelley, K.D. Merdek, K.M. Sprott, C. Jiang, and W.E. Pierceall D.A. Smirnov Microfluidics and circulating tumor cells The Journal of Molecular Diagnostics 15 2 2013 149 157 10.1016/j.jmoldx.2012.09.004
W. Ehlers Foundations of multiphasic and porous materials Porous media: Theory, experiments and numerical applications 2002 Springer-Verlag Berlin Heidelberg 3 86
W. Ehlers, and A. Wagner Multi-component modelling of human brain tissue: A contribution to the constitutive and computational description of deformation, flow and diffusion processes with application to the invasive drug-delivery problem Computer Methods in Biomechanics and Biomedical Engineering 18 8 2015 861 879 10.1080/10255842.2013.853754
M. Essig, M.S. Shiroishi, T.B. Nguyen, M. Saake, J.M. Provenzale, and D. Enterline A. Rovira Perfusion MRI: The five most frequently asked technical questions 200 2013 24 34 10.2214/AJR.12.9543
L. Falzone, S. Salomone, and M. Libra Evolution of cancer pharmacological treatments at the turn of the third millennium Frontiers in Pharmacology 9 2018 1300 10.3389/fphar.2018.01300
H. Fang, Z. Wang, Z. Lin, and M. Liu Lattice boltzmann method for simulating the viscous flow in large distensible blood vessels Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 65 5 2002 051925 10.1103/PhysRevE.65.051925
A. Fedorov, R. Beichel, J. Kalpathy-Cramer, J. Finet, J.-C. Fillion-Robin, and S. Pujol R. Kikinis 3D Slicer as an image computing platform for the quantitative imaging network Magnetic Resonance Imaging 30 9 2012 1323 1341
C. Festuccia, G.L. Gravina, P. Muzi, R. Pomante, A. Angelucci, C. Vicentini, and M. Bologna Effects of dutasteride on prostate carcinoma primary cultures: A comparative study with finasteride and MK386 The Journal of Urology 180 1 2008 367 372
D. Fink, A. Wagner, and W. Ehlers Application-driven model reduction for the simulation of therapeutic infusion processes in multi-component brain tissue Journal of Computational Science 24 2018 101 115 10.1016/j.jocs.2017.10.002
M.S. Floater, and K. Hormann Surface parameterization: A tutorial and survey N.A. Dodgson, M.S. Floater, M.A. Sabin, Advances in multiresolution for geometric modelling 2005 Springer Berlin, Heidelberg 157 186
G. Follain, D. Herrmann, S. Harlepp, V. Hyenne, N. Osmani, and S.C. Warren J.G. Goetz Fluids and their mechanics in tumour transit: Shaping metastasis Nature Reviews Cancer 20 2020 107 124 10.1038/s41568-019-0221-x https://hal.archives-ouvertes.fr/hal-01573589
S.J. Freedland, W.B. Isaacs, E.A. Platz, M.K. Terris, W.J. Aronson, and C.L. Amling C.J. Kane Prostate size and risk of high-grade, advanced prostate cancer and biochemical progression after radical prostatectomy: A search database study Journal of Clinical Oncology 23 30 2005 7546 7554
H.B. Frieboes, B.R. Smith, Y.-L. Chuang, K. Ito, A.M. Roettgers, S.S. Gambhir, and V. Cristini An integrated computational/experimental model of lymphoma growth PLOS Computational Biology 9 3 2013 1 13 10.1371/journal.pcbi.1003008
R.A. Gatenby, P.K. Maini, and E.T. Gawlinski Analysis of tumor as an inverse problem provides a novel theoretical framework for understanding tumor biology and therapy Applied Mathematics Letters 15 3 2002 339 345
A. Gertych, Z. Swiderska-Chadaj, Z. Ma, N. Ing, T. Markiewicz, and S. Cierniak B.S. Knudsen Convolutional neural networks can accurately distinguish four histologic growth patterns of lung adenocarcinoma in digital slides Scientific Reports 9 2019 1483 10.1038/s41598-018-37638-9
M. Giladi, R.S.W. Schneiderman, T. Voloshin, Y. Porat, M. Munster, R. Blat, and S. Sherbo Mitotic spindle disruption by alternating electric fields leads to improper chromosome segregation and mitotic catastrophe in cancer cells Scientific Reports 5 2015 18046 10.1038/srep18046
H. Gomez, and K.G. van der Zee Computational phase-field modeling E. Stein, R. de Borst, T.J.R. Hughes, Encyclopedia of computational mechanics second edition 2017 1 35 ISBN 9781119176817
Y. Gordon, S. Partovi, M. Müller-Eschner, E. Amarteifio, T. Bäuerle, and M.-A. Weber F. Rengier Dynamic contrast-enhanced magnetic resonance imaging: Fundamentals and application to the evaluation of the peripheral perfusion Cardiovascular Diagnosis and Therapy 4 2 2014 147 164 https://cdt.amegroups.com/article/view/3640
R. Hass, J. von der Ohe, and H. Ungefroren Impact of the tumor microenvironment on tumor heterogeneity and consequences for cancer cell plasticity and stemness Cancers 12 12 2020 3716 10.3390/cancers12123716 https://www.mdpi.com/2072-6694/12/12/3716
C. He, J. Wang, S. Sun, Y. Zhang, and S. Li Immunomodulatory effect after irreversible electroporation in patients with locally advanced pancreatic cancer Journal of Oncology 2019 2019 9346017 10.1155/2019/9346017
G. Helmlinger, P.A. Netti, H.C. Lichtenbeld, R.J. Melder, and R.K. Jain Solid stress inhibits the growth of multicellular tumor spheroids Nature Biotechnology 15 21 1997 778 783
D.A. Hormuth, K.A. Al Feghali, A.M. Elliott, T.E. Yankeelov, and C. Chung Image-based personalization of computational models for predicting response of high-grade glioma to chemoradiation Scientific Reports 11 2021 8520
D.A. Hormuth, S.L. Eldridge, J.A. Weis, M.I. Miga, and T.E. Yankeelov Mechanically coupled reaction-diffusion model to predict glioma growth: Methodological details L. von Stechow, Cancer systems biology: Methods and protocols 2018 Springer New York 225 241
D.A. Hormuth, A.M. Jarrett, E.A.B.F. Lima, M.T. McKenna, D.T. Fuentes, and T.E. Yankeelov Mechanism-based modeling of tumor growth and treatment response constrained by multiparametric imaging data JCO Clinical Cancer Informatics 3 2019 1 10 10.1200/CCI.18.00055
D.A. Hormuth II, J.A. Weis, S.L. Barnes, M.I. Miga, E.C. Rericha, V. Quaranta, and T.E. Yankeelov Predicting in vivo glioma growth with the reaction diffusion equation constrained by quantitative magnetic resonance imaging data Physical Biology 12 4 2015 046006
S.S. Hossain, Y. Zhang, X. Liang, F. Hussain, M. Ferrari, T.J.R. Hughes, and P. Decuzzi In silico vascular modeling for personalized nanoparticle delivery Nanomedicine 8 3 2013 343 357 10.2217/nnm.12.124
R. Jain, and L. Baxter Mechanisms of heterogeneous distribution of monoclonal antibodies and other macromolecules in tumors: Significance of elevated interstitial pressure Cancer Research 48 24, Pt. 1 1988 7022 7032
R.K. Jain Normalization of tumor vasculature: An emerging concept in antiangiogenic therapy Science 307 5706 2005 58 62 10.1126/science.1104819 https://science.sciencemag.org/content/307/5706/58
R.K. Jain, J.D. Martin, and T. Stylianopoulos The role of mechanical forces in tumor growth and therapy Annual Review of Biomedical Engineering 16 1 2014 321 346 10.1146/annurev-bioeng-071813-105259
A. Jamal, M.T. Mongelli, M. Vidotto, M. Madekurozwa, A. Bernardini, and D.R. Overby D. Dini Infusion mechanisms in brain white matter and their dependence on microstructure: An experimental study of hydraulic permeability IEEE Transactions on Biomedical Engineering 68 4 2021 1229 1237 10.1109/TBME.2020.3024117
A.M. Jarrett, D.A. Hormuth, S.L. Barnes, X. Feng, W. Huang, and T.E. Yankeelov Incorporating drug delivery into an imaging-driven, mechanics-coupled reaction diffusion model for predicting the response of breast cancer to neoadjuvant chemotherapy: Theory and preliminary clinical results Physics in Medicine and Biology 63 10 2018 105015
A.M. Jarrett, D.A. Hormuth, C. Wu, A.S. Kazerouni, D.A. Ekrut, and J. Virostko T.E. Yankeelov Evaluating patient-specific neoadjuvant regimens for breast cancer via a mathematical model constrained by quantitative magnetic resonance imaging data Neoplasia 22 12 2020 820 830
H. Jiang, S. Hegde, B.L. Knolhoff, Y. Zhu, J.M. Herndon, and M.A. Meyer D.T. Weaver Targeting focal adhesion kinase renders pancreatic cancers responsive to checkpoint immunotherapy Nature Medicine 22 8 2016 851 860 10.1038/nm.4123
M.-Z. Jin, and W.-L. Jin The updated landscape of tumor microenvironment and drug repurposing Signal Transduction and Targeted Therapy 5 2020 166 10.1038/s41392-020-00280-x
K. Kamnitsas, E. Ferrante, S. Parisot, C. Ledig, A.V. Nori, and A. Criminisi B. Glocker Deepmedic for brain tumor segmentation A. Crimi, B. Menze, O. Maier, M. Reyes, S. Winzeck, H. Handels, Brainlesion: Glioma, multiple sclerosis, stroke and traumatic brain injuries 2016 Springer International Publishing Cham 138 149
J. Kim, J.W. Davis, E.A. Klein, C. Magi-Galluzzi, Y. Lotan, and J.F. Ward P. Troncoso Tissue effects in a randomized controlled trial of short-term finasteride in early prostate cancer EBioMedicine 7 2016 85 93
E.J. Koay, M.J. Truty, V. Cristini, R.M. Thomas, R. Chen, and D. Chatterjee J.B. Fleming Transport properties of pancreatic cancer describe gemcitabine delivery and response The Journal of Clinical Investigation 124 4 2014 1525 1536
X. Kong, M.S. Moran, N. Zhang, B. Haffty, and Q. Yang Meta-analysis confirms achieving pathological complete response after neoadjuvant chemotherapy predicts favourable prognosis for breast cancer patients European Journal of Cancer 47 14 2011 2084 2090
P. Koumoutsakos, I. Pivkin, and F. Milde The fluid mechanics of cancer and its therapy Annual Review of Fluid Mechanics 45 1 2013 325 355 10.1146/annurev-fluid-120710-101102
A.K. Laird Dynamics of tumor growth British Journal of Cancer 18 1964 490 502 10.1038/bjc.1964.55
Lemaître, G. (2016). Computer-aided diagnosis for prostate cancer using multi-parametric magnetic resonance imaging (Ph.D. thesis). Universitat de Girona and Université de Bourgogne.
G. Lemaître, R. Martí, J. Freixenet, J.C. Vilanova, P.M. Walker, and F. Meriaudeau Computer-aided detection and diagnosis for prostate cancer based on mono and multi-parametric MRI: A review Computers in Biology and medicine 60 2015 8 31
V. Le Maout, K. Alessandri, B. Gurchenkov, H. Bertin, P. Nassoy, and G. Sciumè Role of mechanical cues and hypoxia on the growth of tumor cells in strong and weak confinement: A dual in vitro-in silico approach Science Advances 6 2020 eaaz7130
X. Li, B.M. Dawant, E.B. Welch, A.B. Chakravarthy, L. Xu, and I. Mayer T.E. Yankeelov Validation of an algorithm for the nonrigid registration of longitudinal breast MR images using realistic phantoms Medical Physics 37 6, Pt. 1 2010 2541 2552
M. Lin, X. Zhang, S. Liang, X. Li, H. Luo, and M. Alnaggar Z. Yin Irreversible electroporation plus allogenic Vγ9Vδ2 T cells enhances antitumor effect for locally advanced pancreatic cancer patients Signal Transduction and Targeted Therapy 5 2020 215 10.1038/s41392-020-00260-1
S. Lindsey, and S.A. Langhans Chapter One-Epidermal growth factor signaling in transformed cells K.W. Jeon, International review of cell and molecular biology Vol. 314 2015 Academic Press 1 41 10.1016/bs.ircmb.2014.10.001
J. Lipková, P. Angelikopoulos, S. Wu, E. Alberts, B. Wiestler, and C. Diehl B. Menze Personalized radiotherapy design for glioblastoma: Integrating mathematical tumor models, multimodal scans, and Bayesian inference IEEE Transactions on Medical Imaging 38 8 2019 1875 1884
J. Liu, and L. Guo An improved k-means algorithm for brain MRI image segmentation 3rd International conference on mechatronics, robotics and automation. 2015 Atlantis Press
G. Lorenzo, D.A. Hormuth II, A.M. Jarrett, E.A.B.F. Lima, S. Subramanian, and G. Biros T.E. Yankeelov Quantitative in vivo imaging to enable tumor forecasting and treatment optimization arXiv:2102.12602 2021
G. Lorenzo, T.J.R. Hughes, P. Dominguez-Frojan, A. Reali, and H. Gomez Computer simulations suggest that prostate enlargement due to benign prostatic hyperplasia mechanically impedes prostate cancer growth Proceedings of the National Academy of Sciences of the United States of America 116 4 2019 1152 1161 https://www.pnas.org/content/116/4/1152
G. Lorenzo, T.J.R. Hughes, A. Reali, and H. Gomez A numerical simulation study of the dual role of 5alpha-reductase inhibitors on tumor growth in prostates enlarged by benign prostatic hyperplasia via stress relaxation and apoptosis upregulation Computer Methods in Applied Mechanics and Engineering 362 2020 112843
G. Lorenzo, M.A. Scott, K. Tew, T.J.R. Hughes, Y.J. Zhang, and L. Liu H. Gomez Tissue-scale, personalized modeling and simulation of prostate cancer growth Proceedings of the National Academy of Sciences of the United States of America 113 48 2016 E7663 E7671
J. Lu, D. Dean, Yu, R.T. Bonnecaze, and M.H. Zaman Cancer cell stiffness: Integrated roles of three-dimensional matrix stiffness and transforming potential Biophysical Journal 99 2010 2048 2057 10.3389/fcell.2018.00017
P. Macklin, M.E. Edgerton, A.M. Thompson, and V. Cristini Patient-calibrated agent-based modelling of ductal carcinoma in situ (DCIS): From microscopic measurements to macroscopic predictions of clinical progression Journal of Theoretical Biology 301 2012 122 140
A. Malandrino, and E. Moeendarbary Poroelasticity of living tissues R. Narayan, Encyclopedia of biomedical engineering 2019 Elsevier Oxford 238 245 10.1016/B978-0-12-801238-3.99932-X ISBN: 978-0-12-805144-3 (Ed.)
A. Mang, S. Bakas, S. Subramanian, C. Davatzikos, and G. Biros Integrated biophysical modeling and image analysis: Application to neuro-oncology Annual Review of Biomedical Engineering 22 2020 309 341
A. Marusyk, and K. Polyak Tumor heterogeneity: Causes and consequences Biochimica et Biophysica Acta (BBA)-Reviews on Cancer 1805 1 2010 105 117 10.1016/j.bbcan.2009.11.002
R. McBeath, D.M. Pirone, C.M. Nelson, K. Bhadriraju, and C.S. Chen Cell shape, cytoskeletal tension, and RhoA regulate stem cell lineage commitment Developmental Cell 6 4 2004 483 495 10.1016/S1534-5807(04)00075-9
J.D. McConnell, R. Bruskewitz, P. Walsh, G. Andriole, M. Lieber, and H.L. Holtgrewe J. Waldstreicher The effect of finasteride on the risk of acute urinary retention and the need for surgical treatment among men with benign prostatic hyperplasia The New England Journal of Medicine 338 9 1998 557 563
F. Michor, J. Liphardt, M. Ferrari, and J. Widom What does physics have to do with cancer? Nature Reviews. Cancer 11 3 2011 657 670 10.1038/nrc3092
A. Mohanty, R.R. Pharaon, A. Nam, S. Salgia, P. Kulkarni, and E. Massarelli FAK-targeted and combination therapies for the treatment of cancer: An overview of phase I and II clinical trials Expert Opinion on Investigational Drugs 29 4 2020 399 409 10.1080/13543784.2020.1740680
M. Mostavi, Y.-C. Chiu, Y. Huang, and Y. Chen Convolutional neural network models for cancer type prediction based on gene expression BMC Medical Genomics 13 2020 44 10.1186/s12920-020-0677-2
J. Munger, X. Huang, H. Kawakatsu, M.J.D. Griffiths, S.L. Dalton, and J. Wu M.A. Matthay A mechanism for regulating pulmonary inflammation and fibrosis: The integrin αvβ6 binds and activates latent TGF β1 Cell 96 1999 319 328 10.1016/S0092-8674(00)80545-0
S. Nagrath, L.V. Sequist, S. Maheswaran, D.W. Bell, D. Irimia, L. Ulkus, and et al. Isolation of rare circulating tumour cells in cancer patients by microchip technology Nature 450 2007 1235 1239 10.1038/nature06385
M.L. Neal, A.D. Trister, T. Cloke, R. Sodt, S. Ahn, and A.L. Baldock K.R. Swanson Discriminating survival outcomes in patients with glioblastoma using a simulation-based, patient-specific response metric PLOS ONE 8 1 2013 e51951
E. Neuhaus, L. Zirjacks, K. Ganser, L. Klumpp, U. Schüler, and D. Zips S.M. Huber Cancers 11 1 2019 110 10.3390/cancers11010110 https://www.mdpi.com/2072-6694/11/1/110
H.T. Nia, L.L. Munn, and R.K. Jain Physical traits of cancer Science 370 6516 2020 eaaz0868 10.1126/science.aaz0868 https://science.sciencemag.org/content/370/6516/eaaz0868
N.I. Nissen, M. Karsdal, and N. Willumsen Collagens and cancer associated fibroblasts in the reactive stroma and its relation to cancer biology Journal of Experimental & Clinical Cancer Research 38 2019 115 10.1186/s13046-019-1110-6
J.M. Northcott, I.S. Dean, J.K. Mouw, and V.M. Weaver Feeling stress: The mechanics of cancer progression and aggression Frontiers in Cell and Developmental Biology 6 2018 17 10.3389/fcell.2018.00017
A. Omuro, and L.M. DeAngelis Glioblastoma and other malignant gliomas: A clinical review Journal of the American Medical Association 310 17 2013 1842 1850
A.R. Padhani, K.A. Krohn, J.S. Lewis, and M. Alber European radiology European Urology Focus 17 2007 861 872 10.1007/s00330-006-0431-y
M.J. Paszek, N. Zahir, K.R. Johnson, J.N. Lakins, G.I. Rozenberg, and A. Gefen V.M. Weaver Tensional homeostasis and the malignant phenotype Cancer Cell 8 2005 241 254
P.P. Provenzano, and P.J. Keely Mechanical signaling through the cytoskeleton regulates cell proliferation by coordinated focal adhesion and Rho GTPase signaling Journal of Cell Science 124 8 2011 1195 1205 10.1242/jcs.067009
H. Rappel, L.A.A. Beex, L. Noels, and S.P.A. Bordas Identifying elastoplastic parameters with Bayes' theorem considering output error, input error and model uncertainty Probabilistic Engineering Mechanics 55 2019 28 41 10.1016/j.probengmech.2018.08.004
P. Rawla, T. Sunkara, and A. Barsouk Epidemiology of colorectal cancer: Incidence, mortality, survival, and risk factors Gastroenterology Review/Przeglad Gastroenterologiczny 14 2 2019 89 103 10.5114/pg.2018.81072
P. Rawla, T. Sunkara, and V. Gaduputi World Journal of Oncology 10 1 2019 10 27
A.J. Rice, E. Cortes, D. Lachowski, B.C.H. Cheung, S.A. Karim, J.P. Morton, and A. del Río Hernández Matrix stiffness induces epithelial-mesenchymal transition and promotes chemoresistance in pancreatic cancer cells Oncogenesis 6 2017 e352 10.1038/oncsis.2017.54
R.C. Rockne, A. Hawkins-Daarud, K.R. Swanson, J.P. Sluka, J.A. Glazier, and P. Macklin J.G. Scott The 2019 mathematical oncology roadmap Physical Biology 16 4 2019 41005
R.C. Rockne, A.D. Trister, J. Jacobs, A.J. Hawkins-Daarud, M.L. Neal, and K. Hendrickson K.R. Swanson A patient-specific computational model of hypoxia-modulated radiation resistance in glioblastoma using (18)F-FMISO-PET Journal of the Royal Society, Interface 12 103 2015 20141174
R.C. Rockne, A.D. Trister, J. Jacobs, A.J. Hawkins-Daarud, M.L. Neal, and K. Hendrickson K.R. Swanson A patient-specific computational model of hypoxia-modulated radiation resistance in glioblastoma using (18)F-FMISO-PET Journal of the Royal Society, Interface 12 103 2015 20141174
A. Rolong, R.V. Davalos, and B. Rubinsky History of electroporation M.R. Meijerink, H.J. Scheffer, G. Narayanan, Irreversible electroporation in clinical practice 2018 Springer International Publishing Cham 13 37 10.1007/978-3-319-55113-5_2 ISBN: 978-3-319-55113-5 (Eds.)
B. Rybinski, J. Franco-Barraza, and E. Cukierman The wound healing, chronic fibrosis, and cancer progression triad Physiological Genomics 46 7 2014 223 244 10.1152/physiolgenomics.00158.2013
F. Saeg, and M. Anbalagan Breast cancer stem cells and the challenges of eradication: A review of novel therapies Stem Cell Investigation 5 2018 39
G. Sciumè Mechanistic modeling of vascular tumor growth: An extension of Biot's theory to hierarchical bi-compartment porous medium systems Acta Mechanica 232 2021 1445 1478 10.1007/s00707-020-02908-z
G. Sciumè, R. Santagiuliana, M. Ferrari, P. Decuzzi, and B.A. Schrefler Physical Biology 11 6 2014 065004
F.A. Shaikh, B.J. Kolowitz, O. Awan, H.J. Aerts, A. von Reden, and S. Halabi C. Deible Technical challenges in the clinical application of radiomics JCO Clinical Cancer Informatics 1 2017 1 8 10.1200/CCI.17.00004
Q. Shao, S. O'Flanagan, T. Lam, P. Roy, F. Pelaez, and B.J. Burbach J.C. Bischof Engineering T cell response to cancer antigens by choice of focal therapeutic conditions International Journal of Hyperthermia 36 1 2019 130 138 10.1080/02656736.2018.1539253 PMID: 30676126
Shetty, A., & Saber, M. (2021). Positron emission tomography. Retrieved from https://radiopaedia.org/articles/29716.
M.A. Smith, N.L. Seibel, S.F. Altekruse, L.A. Ries, D.L. Melbert, and M. O'Leary G.H. Reaman Outcomes for children and adolescents with cancer: Challenges for the twenty-first century Journal of Clinical Oncology 28 15 2010 2625 2634 10.1200/JCO.2009.27.0421
A.G. Sorace, C. Wu, S.L. Barnes, A.M. Jarrett, S. Avery, and D. Patt J. Virostko Repeatability, reproducibility, and accuracy of quantitative MRI of the breast in the community radiology setting Journal of Magnetic Resonance Imaging 48 3 2018 695 707
R. Stämpfli, and M. Willi Membrane potential of a Ranvier node measured after electrical destruction of its membrane Experientia 13 1957 297 298 10.1007/BF02158430
S.L. Stott, C.-H. Hsu, D.I. Tsukrov, M. Yu, D.T. Miyamoto, B.A. Waltman, and S.M. Rothenberg Isolation of circulating tumor cells using a microvortex-generating herringbone-chip Proceedings of the National Academy of Sciences of the United States of America 107 43 2010 18392 18397 10.1073/pnas.1012539107 https://www.pnas.org/content/107/43/18392
R. Stupp, W.P. Mason, M.J. van den Bent, M. Weller, B. Fisher, and M.J.B. Taphoorn R.O. Mirimanoff Radiotherapy plus concomitant and adjuvant temozolomide for glioblastoma New England Journal of Medicine 352 10 2005 987 996 10.1056/NEJMoa043330 PMID: 15758009
R. Stupp, S. Taillibert, A. Kanner, W. Read, D.M. Steinberg, and B. Lhermitte M.S. Ahluwalia Effect of tumor-treating fields plus maintenance temozolomide vs maintenance temozolomide alone on survival in patients with glioblastoma: A randomized clinical trial Journal of the American Medical Association 318 23 2017 2306 2316 10.1001/jama.2017.18718
P. Suetens Fundamentals of medical imaging 2009 Cambridge University Press Cambridge 10.1017/CBO9780511596803
H. Sung, J. Ferlay, R.L. Siegel, M. Laversanne, I. Soerjomataram, A. Jemal, and F. Bray Global cancer statistics 2020: GLOBOCAN estimates of incidence and mortality worldwide for 36 cancers in 185 countries CA: A Cancer Journal for Clinicians 71 2021 209 249 10.3322/caac.21660
K.R. Swanson, E.C. Alvord, and J.D. Murray Virtual brain tumours (gliomas) enhance the reality of medical imaging and highlight inadequacies of current therapy British Journal of Cancer 86 2002 14 18 10.1038/sj.bjc.6600021
K.R. Swanson, R.C. Rostomily, and E.C. Alvord A mathematical modelling tool for predicting survival of individual patients following resection of glioblastoma: A proof of principle British Journal of Cancer 98 1 2008 113 119
A.C. Tan, D.M. Ashley, G.Y. López, M. Malinzak, H.S. Friedman, and M. Khasraw Management of glioblastoma: State of the art and future directions CA: A Cancer Journal for Clinicians 70 4 2020 299 312 10.3322/caac.21613
I.M. Thompson, P.J. Goodman, C.M. Tangen, M.S. Lucia, G.J. Miller, and L.G. Ford C.A. Coltman The influence of finasteride on the development of prostate cancer The New England Journal of Medicine 349 3 2003 215 224 PMID: 12824459
D.S. Tuch, V.J. Wedeen, A.M. Dale, J.S. George, and J.W. Belliveau Conductivity tensor mapping of the human brain using diffusion tensor MRI Proceedings of the National Academy of Sciences of the United States of America 98 20 2001 11697 11701 10.1073/pnas.171473898 https://www.pnas.org/content/98/20/11697
S. Urcun, P.-Y. Rohan, W. Skalli, P. Nassoy, S.P.A. Bordas, and G. Sciumè Digital twinning of cellular capsule technology: Emerging outcomes from the perspective of porous media mechanics PLOS ONE 16 7 2021 1 30 10.1371/journal.pone.0254512
R.C.N. van den Bergh, S. Loeb, and M.J. Roobol Impact of early diagnosis of prostate cancer on survival outcomes European Urology Focus 1 2015 137 146 10.1016/j.euf.2015.01.002
V. Vavourakis, B. Eiben, J.H. Hipwell, N.R. Williams, M. Keshtgar, and D.J. Hawkes Multiscale mechano-biological finite element modelling of oncoplastic breast surgery-Numerical study towards surgical planning and cosmetic outcome prediction PLOS ONE 11 7 2016 e0159766
P. Villalobos, and I.I. Wistuba Lung cancer biomarkers Hematology/Oncology Clinics of North America 31 1 2017 13 29 10.1016/j.hoc.2016.08.006 Lung Cancer
C.H. Wang, J.K. Rockhill, M. Mrugala, D.L. Peacock, A. Lai, and K. Jusenius K.R. Swanson Prognostic significance of growth kinetics in newly diagnosed glioblastomas revealed by combining serial imaging with a novel biomathematical model Cancer Research 69 23 2009 9133 9140
V.M. Weaver, O.W. Petersen, F. Wang, C.A. Larabell, P. Briand, C. Damsky, and M.J. Bissell Reversion of the malignant phenotype of human breast cells in three-dimensional culture and in vivo by integrin blocking antibodies Journal of Cell Biology 137 1 1997 231 245 10.1083/jcb.137.1.231
A.J. Wein, L.R. Kavoussi, A.C. Novick, A.W. Partin, and C.A. Peters Campbell-Walsh urology: Expert consult premium edition: Enhanced online features and print, 4-volume set (10th ed.) 2012 Elsevier Saunders
J.A. Weis, M.I. Miga, L.R. Arlinghaus, X. Li, A.B. Chakravarthy, and V. Abramson T.E. Yankeelov A mechanically coupled reaction-diffusion model for predicting the response of breast tumors to neoadjuvant chemotherapy Physics in Medicine and Biology 58 17 2013 5851 5866
J.A. Weis, M.I. Miga, and T.E. Yankeelov Three-dimensional image-based mechanical modeling for predicting the response of breast cancer to neoadjuvant therapy Computer Methods in Applied Mechanics and Engineering 314 2017 494 512 Special issue on biological systems dedicated to William S. Klug
J.G. Whisenant, G.D. Ayers, M.E. Loveless, S.L. Barnes, D.C. Colvin, and T.E. Yankeelov Assessing reproducibility of diffusion-weighted magnetic resonance imaging studies in a murine model of HER2+ breast cancer Magnetic Resonance Imaging 32 3 2014 245 249
K.C.L. Wong, R.M. Summers, E. Kebebew, and J. Yoa Pancreatic tumor growth prediction with elastic-growth decomposition, image-derived motion, and FDM-FEM coupling IEEE Transactions on Medical Imaging 36 1 2017 111 123
C. Wu, F. Pineda, D.A. Hormuth II, G.S. Karczmar, and T.E. Yankeelov Quantitative analysis of vascular properties derived from ultrafast DCE-MRI to discriminate malignant and benign breast tumors Magnetic Resonance in Medicine 81 3 2019 2147 2160
W.-k. Xing, C. Shao, Z.-y. Qi, C. Yang, and Z. Wang The role of Gliadel wafers in the treatment of newly diagnosed GBM: A meta-analysis Drug Design, Development and Therapy 9 2015 3341 3348 10.2147/DDDT.S85943
T.E. Yankeelov, N. Atuegwu, D. Hormuth, J.A. Weis, S.L. Barnes, and M.I. Miga V. Quaranta Clinically relevant modeling of tumor growth and treatment response Science Translational Medicine 5 187 2013 187ps9 10.1126/scitranslmed.3005686
T.E. Yankeelov, and J.C. Gore Dynamic contrast enhanced magnetic resonance imaging in oncology: Theory, data acquisition, analysis, and examples Current Medical Imaging Reviews 3 2 2007 91 107
D. Zardavas, and M. Piccart Neoadjuvant therapy for breast cancer Annual Review of Medicine 66 1 2015 31 48
Y. Zhang, M. Brady, and S. Smith Segmentation of brain MR images through a hidden Markov random field model and the expectation-maximization algorithm IEEE Transactions on Medical Imaging 20 1 2001 45 57 10.1109/42.906424
Y.J. Zhang Geometric modeling and mesh generation from scanned images 2018 CRC Press