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Number of results

Journal

2015 | 13 | 1 |

Article title

Towards inverse modeling of intratumor heterogeneity

Content

Title variants

Languages of publication

EN

Abstracts

EN
Development of resistance limits efficiency of
present anticancer therapies and preventing it remains a
big challenge in cancer research. It is accepted, at the intuitive
level, that resistance emerges as a consequence of
the heterogeneity of cancer cells at the molecular, genetic
and cellular levels. Produced by many sources, tumor
heterogeneity is extremely complex time dependent statistical
characteristics which may be quantified by measures
defined in many different ways, most of them coming
from statistical mechanics. In this paper, we apply the
Markovian framework to relate population heterogeneity
to the statistics of the environment. As, from an evolutionary
viewpoint, therapy corresponds to a purposeful modi-
fication of the cells’ fitness landscape, we assume that understanding
general relationship between the spatiotemporal
statistics of a tumor microenvironment and intratumor
heterogeneity will allow to conceive the therapy as
an inverse problem and to solve it by optimization techniques.
To account for the inherent stochasticity of biological
processes at cellular scale, the generalized distancebased
concept was applied to express distances between
probabilistically described cell states and environmental
conditions, respectively.

Publisher

Journal

Year

Volume

13

Issue

1

Physical description

Dates

received
12 - 1 - 2015
accepted
29 - 5 - 2015
online
5 - 8 - 2015

Contributors

  • Department of
    Biophysics, Faculty of Science, Jesenna 5, P.J. Safarik University,
    04154 Kosice, Slovak Republic
author
  • Department of
    Biophysics, Faculty of Science, Jesenna 5, P.J. Safarik University,
    04154 Kosice, Slovak Republic

References

  • ---
  • [1] A. Marusyk, K. Polyak, Science 339, 528 (2013)
  • [2] M.M. Gottesman, Annu. Rev. Med. 53, 615 (2002)[Crossref]
  • [3] S.J. Altschuler, L.F. Wu, Cell 141, 559 (2010)
  • [4] N.D.Marjanovic, R.A. Weinberg, C.L. Chaffer, Clin. Chem. 59, 253(2013)[Crossref]
  • [5] S. Huang, Cancer Metastasis Rev. 32, 423 (2013)[Crossref]
  • [6] K. Kemper, P.L. de Goeje, D.S. Peeper, R. van Amerongen, CancerRes. 74, 5937 (2014)[Crossref]
  • [7] W.L. Tam, R.A. Weinberg, Nat. Med. 19, 1438 (2013)[Crossref]
  • [8] W.M. ElShamy, R.J. Douhé, Cancer Lett. 341, 2 (2013)
  • [9] N.A. Saunders et al., EMBO Mol. Med. 4, 675 (2012)[Crossref]
  • [10] S.T. Buckland, A.E. Magurran, R.E. Green, R.M. Fewster, Phil.Trans. R. Soc. B 360, 243 (2005)
  • [11] C.J. Keylock, OIKOS 109, 203 (2005)
  • [12] R.S. Mendes, L.R. Evangelista, S.M. Thomaz, A.A. Agostinho,L.C. Gomes, Ecography 31, 450 (2008)
  • [13] L. Preziosi, Cancer Modeling and Simulation (Chapman &Hall/CRC London, 2003)
  • [14] C.Maenhaut, J. E. Dumont, P.P. Roger,W.C.G. Staveren, Carcinogenesis31, 149 (2010)
  • [15] H.H. Chang, M. Hemberg, M. Barahona, D.E. Ingber, S. Huang,Nature 453, 544 (2008)
  • [16] E. Quintana et al., Cancer Cell 18, 510 (2010)[Crossref]
  • [17] S.V. Sharma et al., Cell 141, 69 (2010)
  • [18] K.S. Hoek, C.R. Goding, Pigment Cell Melanoma Res. 23, 746(2010)[Crossref]
  • [19] C.L. Chaffer et al., Proc. Natl. Acad. Sci. USA 108, 7950 (2011)
  • [20] P. B. Gupta, et al., Cell 146, 633 (2011)
  • [21] K. Binder, D.W. Heermann,Monte Carlo Simulation in StatisticalPhysics: An Introduction 4th Ed. (Springer-Verlag, Berlin, 2002)
  • [22] P.J. Choi, L.Cai, K. Frieda, S. Xie, Science 322, 442 (2008)
  • [23] A. Raj, A. van Oudenaarden, Cell 135, 216 (2008)
  • [24] A. Eldar, M.B. Elowitz, Nature 467, 167 (2010)
  • [25] U. Liberman, J.V. Cleve, M.W. Feldman, Genetics 187, 837 (2011)
  • [26] E. Pujadas, A.P. Feinberg, Cell 148, 1123 (2012)
  • [27] E. Kussell, S. Leibler, Science 309, 2075 (2005)
  • [28] E. Kussell, R. Kishony, N.Q. Balaban, S. Leibler, Genetics 169,1807 (2005)
  • [29] M. Acar, J.T. Mettetal, A. van Oudenaarden, Nat. Genet. 40, 471(2008)[Crossref]
  • [30] W.E. Frankenhuis, K. Panchanathan, Proc. R. Soc. Lond. B 278,3558 (2011)
  • [31] E. Libby, P.B. Rainey, Proc. R. Soc. Lond. B 278, 3574 (2011)
  • [32] D. Fudenberg, L.A. Imhof, Bull. Math. Biol. 74, 399 (2012)[Crossref]
  • [33] S. Fedotov, A. Iomin, Phys. Rev. Lett. 98, 118101 (2007)[Crossref]
  • [34] S. Fedotov, A. Iomin, Phys. Rev. E 77, 031911 (2008)
  • [35] P.C. Nowell, Science 194, 23 (1976)
  • [36] L.M.F. Merlo, J.W. Pepper, B.J. Reid, C.C.Maley, Nat. Rev. Cancer6, 924 (2006)[Crossref]
  • [37] M. Greaves, Nat. Rev. Cancer 7, 213 (2007)[Crossref]
  • [38] L. López-Maury, S. Marguerat, J. Bähler, Nat. Rev. Genet. 9, 583(2008)[Crossref]
  • [39] J. X. Zhou, M. D. S. Aliyu, E. Aurell, S. Huang, J. R. Soc. Interface9, 3539 (2012)[Crossref]
  • [40] M.B. Elowitz, A.J. Levine, E.D. Siggia, P.S. Swain, Science 297,1183 (2002)
  • [41] H. Crauel, A. Debussche, F. Flandoli, J. Dynam. Differential Equations9, 307 (1997)[Crossref]
  • [42] J. Braun, M. Mattia, NeuroImage 52, 740 (2010)
  • [43] O. Stiller, A. Becker, L. Kramer, Phys. Rev. Lett. 68, 3670 (1992)[Crossref]
  • [44] M.C. Donaldson-Matasci, M. Lachmann, C.T. Bergstrom, Evol.Ecol. Res. 10, 493 (2008)
  • [45] E. Hellinger, J. Reine Angew. Math. 1909, 210 (1909)
  • [46] C. Hesse, D. Holtackers, T. Heskes, In Proceedings of the 1stAnnual Symposium IEEE EMBS Benelux Chapter, December 7-8,2006, Brussels, (Belgium, 2006)
  • [47] D. Hull, The Metaphysics of Evolution (Stony Brook, State Universityof New York Press, 1989)
  • [48] A. Solopova et al., Proc. Natl. Acad. Sci. USA 111, 7427 (2014)
  • [49] H. Kuwahara, O.S. Soyer, Mol. Syst. Biol. 8, 564 (2012)[Crossref]
  • [50] C.A. Floudas, P.M.P. (Eds.), Encyclopedia of Optimization(Springer Science+Business Media, LLC New York, 2009)
  • [51] A. Tarantola, Inverse Problem Theory and Methods for Model ParameterEstimation (Society for Industrial and Applied Mathematics,Philadelphia, PA, USA, 2004)
  • [52] I. de Jong, P. Haccou, O.P. Kuipers, BioEssays 33, 215 (2011)
  • [53] J. Müller, B.A. Hense, T.M. Fuchs, M. Utz, C. Pötzsche, J. Theor.Biol. 336, 144 (2013)
  • [54] G. Chen et al., Cell 160, 771 (2015)
  • [55] S. Lukaszyk, Comput. Mech. 33, 299 (2003)[Crossref]

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_1515_phys-2015-0032
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