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TU Dresden
Dept. for Innovative
Methods of Computing


Tumor invasion

Deciphering the principles of tumor invasion is essential for development of new therapy concepts. Besides more and more complex molecular investigations, mathematical modelling of selected aspects of tumour growth has become attractive within the last years (mathematical oncology). The importance of mathematical modeling approaches is also acknowledged by clinicians [Martin, M.; Can Game Theory Explain Invasive Tumor Metabolism? JNCI (2009)] We use cell-based models (in particular cellular automata). Simulations show that such models permit to investigate characteristic growth and invasion scenarios. In the future, in silico simulations shall allow to test therapies. This requires development of new models (multiscale models based on cellular automata and lattice Boltzmann models). Special emphasis lies on the extension of the models to three dimensions and to incorporate patient data.

Tumor Growth
Comparison of Simulation (left) and in vitro Experiment (right).

Moving Tumor Front
Movie of the simulation of a moving tumor front.

Key Publications:

M. Tektonidis, H. Hatzikirou, A. Chauviere, M. Simon, K. Schaller, A. Deutsch
Identification of intrinsic mechanisms for glioma invasion
J. Theor. Biol., 287, 131-147, [DOI]

H. Hatzikirou, D. Basanta, M. Simon, K. Schaller, A. Deutsch
'Go or Grow': the key to the emergence of invasion in tumour progression?
Math Med Biol, dqq011, 2010 [DOI]

H. Hatzikirou, L. Brusch, C. Schaller, M. Simon, A. Deutsch
Prediction of traveling front behavior in a lattice-gas cellular automaton model for tumor invasion
Comput. Math. Appl., 59, 2326-2339, 2010 [DOI]

D. Basanta, A. Deutsch, H. Hatzikirou, M. Simon
Evolutionary game theory elucidates the role of glycolysis in glioma progression and invasion
Cell Prolif., 41, 980, 2008 [DOI]


Prof. Karl Schaller (Geneva Neuro-glia-vascular Lab, University Hospital, Geneve)
Matthias Simon (Department of Neurology, Universitätsklinikum Bonn)