A cellular automaton model for tumor growth in heterogeneous environment

Yang Jiao; Xiaowei Zhuang

A cellular automaton model for tumor growth in heterogeneous environment

ORAL

Abstract

Cancer is not a single disease: it exhibits heterogeneity on different spatial and temporal scales and strongly interacts with its host environment. Most mathematical modeling of malignant tumor growth has assumed a homogeneous host environment. We have developed a cellular automaton model for tumor growth that explicitly incorporates the structural heterogeneity of the host environment such as tumor stroma. We show that these structural heterogeneities have non-trivial effects on the tumor growth dynamics and prognosis.

March 22, 2011, 10:00 AM – March 22, 2011, 10:12 AM

Authors

Yang Jiao

Physical Science in Oncology Center, Princeton University
Xiaowei Zhuang

Institute for Quantum Studies and Department of Physics, Texas A\&M University, College Station, Texas 77843, USA, The National Center for Mathematics and Physics, KACST, P.O. Box 6086, Riyadh 11442, Saudi Arabia, Rensselaer Polytechnic Institute, The University of Tokyo, CREST, CRIEPI, The University of Tokyo, Waseda University, Waseda University, PRESTO, Georgia Institute of Technology, Makromolekulare Chemie, Freiburg University, 79104 Freiburg, Germany, Kyushu University, Fukuoka 819-0395, Japan, University of North Carolina at Chapel Hill, Los Alamos National Laboratory, Shimane University, 1CNRS/Rhodia UMR5268, St.Fons (France), Institute of Materials Science, Faculty of Chemistry, Brno University of Technology (Czech Republic), Stony Brook University, University of Massachusetts Lowell, University of Wisconsin-Platteville, Kyoto University, ANL/BNL, Argonne, Argonne/NIU, Department of Materials Science and Engineering, Rensselaer Polytechnic Institute, 110 8th ST, Troy, NY 12180, University of Denver, Physics and Astronomy, Purdue University, Ecole Normale Superieure, Rutgers University, Laboratory for Physical Sciences, University of Maryland, University of Maryland and Laboratory for Physical Sciences, Syracuse University, UC Santa Barbara, SRON Netherlands Institute for Space Research, Delft University of Technology, Applied Physics Dept., Yale University, Institute for Quantum Computing and Department of Physics and Astronomy, University of Waterloo, Ontario, Canada, Department of Physics, University of Oslo, Norway, Department of Physics and Astronomy, McGill University, Montreal, Canada, Dept of Physics, University of Alberta, Canada, National Institute for Nanotechnology, National Research Council of Canada, Canada, National High Magnetic Field Laboratory, USA, Clark University, USA, Sungkyunkwan University, Rep. of Korea, Ames Laboratory, USA, Department of Physics and Astronomy, Iowa State University and Ames Laboratory, Ames, IA 50011, USA, Departement de Physique, Universite deSherbrooke, Sherbrooke, Quebec, Canada, Department of Physics and Engeenering Physics, Tulane UNiversity, New Orleans, Louisiana, USA, Department of Physics and Astronomy, Iowa State University and Ames Laboratory, Ames, IA, Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA 70803-4001, Materials Science and Technology Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831, Department of Physics \& Astronomy and The Ames Laboratory, Iowa State University, Ames, IA 50011, USA, Laboratory for Solid State Physics, ETH Z\"urich, CH-8093 Z\"urich, Switzerland, National High Magnetic Field Lab, University of Toronto, LPEM- UMR8213/CNRS - ESPCI ParisTech, 10 rue Vauquelin - 75005 Paris, Low Dimensional Systems Laboratory, Department of Physics, Indian Institute of Technology Kanpur, Kanpur 208016, India, ITT Kanpur, LPEM, ISIR, Osaka Univ, Los Alomos, NIST, Warwick university UK, Warwick University UK, Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Department of Bioengineering, University of Pennsylvania, Nanyang Technological University, Singapore, Princeton University, Columbia University, Argonne National Laboratory, University of Illinois at Urbana-Champaign, UCSD, JAEA, Japan, UT, Japan, TMU, Japan, UCR, CSU, KEK, Japan, KU, Japan, ISIS, UK, Instituto de Fisica, Benemerita Universidad Autonoma de Puebla, Puebla, Mexico, Illinois Institute of Technology, Department of Physics, University of Notre Dame, Notre Dame, IN 46556, USA, Argonne National Laboratory, Argonne, IL 60439, USA, Trinity College Dublin, University of Cambridge, University of Massachusetts Amherst, Department of Physics, University of Ibadan, Ibadan Nigeria, University of Houston, Georgia Tech, Laboratoire M.S.C., Univ. 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F\'isica Fonamental, Universitat de Barcelona, 08028 Barcelona, Catalonia, Spain, University of California - San Diego, University of Nebraska-Lincoln, Center for Emergent Materials/Department of Physics, Ohio State University, Department of Physics and Astronomy, University of California-Riverside, University of California, Los Angeles, University of California, Riverside, California Nano System Institute, Universitaet Stuttgart, NRL, Dept. of Computer Science, Rensselaer Polytechnic Institute, NY, Dept. of Physics, Rensselaer Polytechnic Institute, NY, Dept. of Physics and Dept. of Computer Science, Rensselaer Polytechnic Institute, NY, Dept. of Physics, Rensselaer Polytechnic Institute, Troy NY, Dep. of Computer Science, Rensselaer Polytechnic Institute, Troy NY, Dept. of Physics and Dept. of Computer Science, Rensselaer Polytechnic Institute, Troy NY, University of Tennessee, Chemical Department, 1420 Circle Dr., Knoxville, TN, 37996, Oak Ridge National Laboratory, Oak Ridge, TN 37831, Universit\'{e} Pierre et Marie Curie - Paris VI, Saint Joseph's University, Department of Chemistry, Colorado State University, Soochow University, Laboratoire Pierre Aigrain, ENS and CNRS, Paris, Department of Physics, Princeton University, Department of Materials Science and Engineering, Cornell University, Ithaca, NY 14853, University of Iowa, Institute of Semiconductor Physics, 630090 Novosibirsk, Russia, Department of Physics, Tamkang University, Tamsui, Taipei County 25137, Taiwan, Department of Physics, National Kaohsiung Normal University, Yanchao, Kaohsiung County 82444, Taiwan, Department of Physics, National Sun Yat-sen University, Kaohsiung 80424, Taiwan, Northwestern University, Evanston, IL 60208, USA, Istituto di Struttura Materia, Consiglio Nazionale delle Ricerche, Trieste, Italy, Department of Physics, University of Illinois at Urbana-Champaign,1110 West Green Street, Urbana, Illinois 61801-3080, USA, M.S.E Department, University of Texas at Dallas, Richardson, Texas 75080, USA, Zyvex Labs, Richardson, Texas 75081, USA, Department of MSE, University of Utah, Salt Lake City, UT 84112, USA, Department of Physics, National Chung Cheng University, Chia-Yi 621, Taiwan, ROC, Iowa State U., Georgia Inst. 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R. China, Dept. Chemistry and Biochemistry, UCLA, UCLA MSE, UCLA EE, Dept. Material Science and Engineering, UCLA, University of Kansas, University of Wisconsin, Milwaukee, WI 53211, Tsinghua University, Beijing 100084, P. R. China, Synchrotron SOLEIL, IBM T. J. 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Department of Applied Chemistry, National Chiao Tung University, Taiwan, RIKEN, University of Tokyo, JST-TRIP, University of Tokyo, JST-TRIP, RIKEN, JST-TRIP, Yale University Applied Physics, Brookhaven National Lab, Dept. of Chemical Engineering, Yale University, Yale Institute for Nanoscience and Quantum Engineering, Yale University, Dept. of Applied Physics, Yale University, CRETA/CNRS, Grenoble, France, Aalto University School of Science and Technology, Aalto, Finland and Tokyo Institute of Technology, Yokohama, Japan, The University of Texas at Dallas, The University of Houston, Max Planck Institute for the physics of complex systems, Indiana University, Bloomington, Leiden University, Lawrence Livermore National Lab, Los Alamos National laboratory, Dept. of Chemical Engineering and Materials Science, Michigan State University, Zhejiang University, Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Electrochemical Energy Research Lab, GM R\&D Center, Department of Physics, East China Normal University, China, Physics Department and HiPSEC, University of Nevada, Las Vegas, Cinvestav, Department of Applied Physics, Cordemex 97310, M\'erida, Mexico, Universidad Aut\'onoma de Yucat\'an, M\'erida, Yucat\'an, M\'exico, Department of Physics, Rutgers University, Piscataway, NJ 08854, The Ames Laboratory, U. S. 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Phys. \& Biophys., Tallinn, Estonia, Department of Physics, The University of Hong Kong, Hong Kong, Institut fr Theoretische Physik, ETH Zrich, Institut fuer Theoretische Physik, ETH Zrich, HFML Nijmegen, LNCMI Toulouse, Howard University, Frederick Seitz Materials Research Laboratory, University of Illinois, Raymond and Beverly Sackler School of Physics and Astronomy, Tel-Aviv University, Center for Nanophysics and Advanced Materials, University of Maryland, Department of Physics, University at Buffalo-SUNY, Seoul National University, Department of Physics and Engineering Physics, Tulane University, New Orleans, LA 70118, Applied Superconductivity Center, National High Magnetic Field Laboratory, Florida State University, Dept. of M.S.E, University of Wisconsin, Madison, CeNSCMR $\& $ Department of Physics and Astronomy, Seoul National University, Seoul 151-747, Republic of Korea, Ames Laboratory, Ames, IA 50011, USA, Department of Physics \& Astronomy, University of California Irvine, Irvine, CA, USA, Univ Geneva, DPMC, CH-1211 Geneva, Switzerland, Dresden High Magnetic Field Laboratory, Forschungszentrum Dresden, Rossendorf, Germany, Paul Scherrer Institut-LDM, PSI, Switzerland, Departement de physique, Universite de Montreal, QC, Canada, Univ. of Tokyo, Multiferroics Project ERATO, and CMRG-RIKEN, Univ. of Tokyo, Trinity College, Dublin, IE, Univ. of Sao Paulo, Sao Paulo, Brazil, Los Alamos National Laboratory, MPA-CMMS, Los Alamos, NM, 87545, USA, Max Planck Institute for Chemical Physics of Solids, Dresden 01087, Germany, University College, London, Pohang University of Science and Technology, Major Analytical Instrumentation Center University of Florida Gainesville, FL 32611, Universite Paris Diderot-Paris 7, Service de Physique de l'Etat Condense, CEA Saclay, Service de Physique de l Etat Condense, CEA Saclay, France, Department of Physics and Astronomy, Victoria, Canada, Laboratoire Materiaux et Phenomenes Quantiques, Paris, France, Materials Sciences Division, Lawrence Berkeley National Laboratory, LBNL, National Chiao Tung University, LASSP, Dep. of Physics, Cornell University, Ithaca NY; CMPMS, Brookhaven National Laboratory, Upton, NY; University of St. Andrews, Fife, Scotland, University of St. Andrews, University of Edinburgh, Cornell University, National High Magnetic Field Lab, Hunter College of CUNY, University of Notre Dame, University of Texas Pan American, University of California at Santa Barbara, CA 93106, Universitaet Osnabrueck, 49069 Osnabrueck, Fritz-Haber-Institut der MPG, 14195 Berlin, Quantum Theory Group, Institute for Microstructural Sciences, National Research Council, Ottawa, Canada, K1A 0R6, Department of Physics, University of Wisconsin-Madison, Madison WI 53706, University of New South Wales, Ruhr Universitaet Bochum, Department of Physics, Fudan University, Shanghai 200433, China, Department of Optical Science and Engineering, Fudan University, Shanghai 200433, China, Physics Department, Harvard University, Cambridge, MA 02138, Institut fur Festkorperforschung, Forschungszentrum Juelich, Germany, Center for Soft Matter Research, New York University, IUSTI-CNRS UMR 6595 - Polytech Marseille - Aix-Marseille University, Washington University, Eindhoven University of Technology, Ecole Normale Sup\'erieure, Universit\'e de Lyon, The City College of New York, Ecole Normale Superieure de Cachan, Lehigh Univ., North Western University, University of Geneva, ETH Zurich, NHMFL/FSU, Physics Department, Sam Houston State University, Universit\'e de Paris 7, Department of Chemical and Biomolecular Egineering, Department of Chemistry and Biochemistry, University of Notre Dame, Department of Chemical and Biomolecular Egineering, University of Notre Dame, ISIS, Complutense University Madrid-SPAIN, Department of Physics and Engineering physics, Tulane University, New Orleans, LA 70118, USA, Center of Smart Interfaces, TU Darmstadt, Technical University of Denmark, Smiths Detection, University of Wisconsin--Madison, JILA, University of Colorado, JILA, University of Colorado, Los Alamos NL, DSM, University of Massachusetts, Amherst, Yonsei University, Materials UC Santa Barbara, Nanocenter, UMD/ CNST, NIST, CNST, NIST, The University of Texas at Dallas, Department of Materials Science, Dept. 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Lawrence Berkeley Laboratory, EETD, E. O. Lawrence Berkeley Laboratory, Korea Institute for Advanced Study, Department of Physics and Astronomy, Seoul National University, U.S. Naval Research Laboratory, Code 6800, Washington, DC 20375, Center for Nanophysics and Advanced Materials, Department of Physics, University of Maryland, College Park, Tokyo Institute of Technology, Francis Bitter Magnet Lab, MIT, Dept. of Physics, MIT, Dept. of Physics, Northeastern University, High Magnetic Field Laboratory, Chinese Academy of Sciences, Hefei, China, National Lab of Solid State Microstructures, Nanjing University, Nanjing, China, Department of Physics, Applied Physics, and Astronomy, Rensselaer Polytechnic Institute, Troy, New York 12180, USA, Institute of Physics, The Chinese Academy of Sciences, Beijing 100190, P. R. China, FZ Juelich, PGI-7 and JARA-FIT, Juelich, Germany, Mesa+ Institute for Nanotechnology, University of Twente, Enschede, The Netherlands, Phys. Dep., Univ. of Arkansas, Fayetteville, Physikalisches Inst., Univ. zu K$\ddot{o}$ln, Germany, Max Planck Inst. for Chem. Phys. of Solids, Germany, Mat. Sci. Eng., Northwestern Univ., APS, Argonne National Lab., Phys. Dep., Northern Illinois Univ., Seoul National Univ, Soongsil Univ., Korea, CNRS, France, National Tsing Hua University, University of California, Berkeley, CA, Pennsylvania State University, University Park, PA, Cornell University, Ithaca, NY, Physics Dept., Boise State University, Boise, ID, Pacific Northwest National Laboratory, Department of Materials Science and Engineering, The Pennsylvania State University, KAERI, Department of Physics, University of Suwon, Kyunggi-do 445-743, Republic of Korea, Department of Materials Science and Engineering, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA, ReCFI, Department of Physics and Astronomy, Seoul National University, Seoul 151-747, Republic of Korea, Department of Materials Science and Engineering, National Chiao Tung University, Department of Physics, National Cheng Kung University, Department of Materials Science and Engineering, Department of Electrical and Computer Engineering, The Ohio State University, Columbus, OH. 43210, Department of Electrical and Computer Engineering, The Ohio State University, Columbus, OH, 43210, Department of Materials Science and Engineering, The Ohio State University, Columbus, OH. 43210, University of California at Santa Barbara, JILA, CU and NIST, NIST Boulder, University of California Irvine, Department of Physics and Astronomy, and Nanoscale and Quantum Phenomena Institute, Ohio University, Athens, Ohio 45701-2979, USA, Institut de Min\'eralogie et de Physique des Milieux Condens\'es, CEA, MSI and CEMS, U of Minnesota, Ames Lab, Iowa state U, GEO, U of Minnesota, Iowa state U and Xiamen U, MSI and CEMS, University of Minnesota, Department of Physics, Pennsylvania State University, State College, PA 16802, Department of Physics and Astronomy, Howard University, Washington, DC 20059, University at Albany-SUNY, Catholic University of America, PTB, Braunschweig, Germany, Institut Neel and LPMMC, CNRS, Grenoble, France, JQI and CNAM, U. of Maryland, Oak Ridge National Laboratory, U of Tennessee-Knoville,U of Science and Technology of China, Southeast U, U of Tennessee-Knoxville, Oak Ridge National Laboratory, Southeast U, U of Tennessee-Knoxville, Oak Ridge National Laboratory, HRL Laboratories LLC, 3011 Malibu Canyon Road, Malibu CA 90265, NIST Center for Neutron Research, National Institute of Standards and Technology, Department of Physics and Astronomy, University of Tennessee, Knoxville, WPI, Tohoku Univ., Chiba Univ., The Univ. of Electro-Commun., Ocha. 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