Analyzing emergent behaviour in cellular automaton models of glioma invasion
Deciphering the principles of glioma invasion is crucial for the development of novel therapy concepts. Of particular interest is the precise regulation of glioma cell migration and proliferation in the invasive phase. Mathematical modelling and computer simulation is needed for investigating collective effects as the formation of a glioma invasion front. Here, we demonstrate how cellular automaton models allow for an adequate description of individual glioma cell behaviour . We will show how analysis of the cellular automaton models allows for prediction of emerging properties (especially the invasion speed) arising from „go or grow“ and „go and grow“ dynamics . We use our models for the interpretation of data from in vitro glioma cancer cell invasion assays  and will also discuss implications of the „go or grow“ dichotomy for glioma growth and persistence.
 A. Deutsch, S. Dormann: Cellular Automaton Modeling of Biological Pattern Formation: Characterization, Applications, and Analysis
Birkhäuser, Boston, 2005, 2nd ed. 2015
 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., 29, 1, 49-65, 2012
 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, 2011