Publications:

BOOKS (WRITTEN/EDITED):

  1. "Single-Cell-Based Models in Biology and Medicine" edited by A.R.A. Anderson, M.A.J. Chaplain, K.A. Rejniak (2007) Birkhauser-Verlag, Mathematics and Biosciences in Interaction (MBI) series, ISBN 978-3-7643-8101-1. [Book cover]

  2. J. Jedrzejowicz, K. Rejniak, "Introduction to the Theory of Databases with Practical Examples for Btrieve" (in Polish), ISBN 83-7017-745-X, Gdansk University Press, 1997 and 1999 (2nd edition). [Book cover]
  3. J. Jedrzejowicz, K. Rejniak, "Languages, Automata and Computational Complexity--exercise book" (in Polish), ISBN 83-7017-551-1, Gdansk University Press, 1994. [Book cover]

CONTRIBUTED BOOK CHAPTERS:

  1. A.R.A. Anderson, D. Basanta, P. Gerlee, K.A. Rejniak, "Evolution, regulation and disruption of homeostasis and its role in carcinogenesis", in T.S. Deisboeck, G. Stamatakos (Eds.), "Multiscale Cancer Modeling", Chapman & Hall-CRC, Mathematical and Computational Biology Series, 2010. [Abstract]
  2. K.A. Rejniak, "Modelling the Development of Complex Tissues using Individual Viscoelastic Cells", chapter IV.3 of the book "Single-Cell-Based Models in Biology and Medicine" edited by A.R.A. Anderson, M.A.J. Chaplain, K.A. Rejniak, (2007) Birkhauser-Verlag, Mathematics and Biosciences in Interaction (MBI) series, ISBN 978-3-7643-8101-1. [Abstract+Simulations]

JOURNAL ARTICLES:

  1. Yoonseok Kam, K.A. Rejniak, A.R.A. Anderson, "Cellular modeling of cancer invasion: integration of in silico and in vitro approaches", Journal of Cellular Physiology, (invited review) in press [Abstract]
     available on: http://onlinelibrary.wiley.com/doi/10.1002/jcp.22766/abstract
  2. K.A. Rejniak, V. Quaranta, A.R.A. Anderson, "Computational investigations of intrinsic and extrinsic mechanisms underlying the formation of carcinoma", IMA Journal on Mathematical Medicine and Biology, in press [Abstract]
    available on: http://imammb.oxfordjournals.org/content/early/2010/11/24/imammb.dqq021.abstract
  3. K.A. Rejniak, A.R.A. Anderson, "Multiscale hybrid models of tumor growth", Wiley Interdisciplinary Reviews: System Biology and Medicine, 3(1):115-125, 2011, (invited review) [Abstract]
    available on: http://dx.doi.org/10.1002/wsbm.102
  4. K.A. Rejniak, S.E. Wang, N.S. Bryce, H. Chang, B. Parvin, J. Jourquin, L. Estrada, J.W. Gray, C.L. Arteaga, A.M. Weaver, V. Quaranta, A.R.A. Anderson, "Linking Changes in Epithelial Morphogenesis to Cancer Mutations Using Computational Modeling" PLoS Computational Biology, 2010, 6(8):e1000900 [Abstract]
    available on: http://dx.doi.org/10.1371/journal.pcbi.1000900
  5. K.A. Rejniak, L.J. McCawley, "Current trends in mathematical modeling of tumor-microenvironment interactions: a survey of tools and applications", Experimental Biology and Medicine, 2010, 235:411-423 [Abstract]
    available on: http://dx.doi.org/10.1258/ebm.2009.009230
  6. A.R.A. Anderson, K.A. Rejniak, P. Gerlee, V. Quaranta, "Microenvironment driven invasion: a multiscale multimodel investigation", Journal of Mathematical Biology, 2009, 58:579-624. [Pdf]
    available on: http://dx.doi.org/10.1007/s00285-008-0210-2
  7. V. Quaranta, K.A. Rejniak, P. Gerlee, A.R.A. Anderson, "Invasion emerges from cancer cell adaptation to competitive microenvironments: Quantitative predictions from multiscale mathematical models", Seminars in Cancer Biology, 2008, 18:338-348. [Pdf]
    available on: http://dx.doi.org/10.1016/j.semcancer.2008.03.018
  8. K.A. Rejniak, A.R.A. Anderson, "A computational study of the development of epithelial acini: II. Necessary conditions for structure and lumen stability", Bulletin of Mathematical Biology, 2008, 70(5):1450-1479. [Pdf]
    available on: http://dx.doi.org/10.1007/s11538-008-9308-3
  9. K.A. Rejniak, A.R.A. Anderson, "A computational study of the development of epithelial acini: I. Sufficient conditions for the formation of a hollow structure", Bulletin of Mathematical Biology, 2008, 70(3):677-712. [Pdf]
    available on: http://dx.doi.org/10.1007/s11538-007-9274-1
  10. A.R.A. Anderson, K.A. Rejniak, P. Gerlee, V. Quaranta, "Modelling of cancer growth, evolution and invasion: bridging scales and models", Mathematical Modelling of Natural Phenomena, 2007, 2(3):1-29, special issue on cancer modelling. [Pdf]
    available on: http://dx.doi.org/10.1051/mmnp:2007001
  11. K.A. Rejniak, R.H. Dillon, "A single cell based model of the ductal tumour microarchitecture", Computational and Mathematical Methods in Medicine, 2007 8(1):51-69. [Pdf]
    available on: http://dx.doi.org/10.1080/17486700701303143
  12. K.A. Rejniak, "An immersed boundary framework for modelling the growth of individual cells: an application to the early tumour development", Journal of Theoretical Biology, 2007, 247:186-204. [Pdf]
    available on: http://dx.doi.org/10.1016/j.jtbi.2007.02.019
  13. K.A. Rejniak, "A single cell approach in modeling the dynamics of tumor microregions", Mathematical Biosciences and Engineering, 2005, 2(3):643-655. [Pdf]
    available on: http://www.mbejournal.org
  14. C. Popesco, A. Frostholm, K.A. Rejniak, A. Rotter, "Digital transcriptome analysis in the aging cerebellum", Annals New York Acad. Sci, 2004, 1019:58-63. [Pdf]
  15. K.A. Rejniak, H.J. Kliman, L.J. Fauci, "A Computational Model of the Mechanics of Growth of the Villous Trophoblast Bilayer", Bulletin of Mathematical Biology, 2004, 66(2):199-232. [Pdf]
    available on: http://dx.doi.org/10.1016/j.bulm.2003.06.001

CONFERENCE PROCEEDINGS:

  1. K.A. Rejniak, "From individual cells to complex tissues - an immersed boundary approach", in Mechanics of the 21st Century. Proceedings of the 21st International Congress of Theoretical and Applied Mathematics ICTAM04 with CD-ROM, Springer Verlag 2005, eds. by W. Gutkowski and T.A. Kowalewski. [Abstract]