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@ARTICLE{Podewitz:811859,
      author       = {Podewitz, Nils and Jülicher, Frank and Gompper, Gerhard
                      and Elgeti, Jens},
      title        = {{I}nterface dynamics of competing tissues},
      journal      = {New journal of physics},
      volume       = {18},
      number       = {8},
      issn         = {1367-2630},
      address      = {[Bad Honnef]},
      publisher    = {Dt. Physikalische Ges.},
      reportid     = {FZJ-2016-04201},
      pages        = {083020},
      year         = {2016},
      abstract     = {Tissues can be characterized by their homeostatic stress,
                      i.e. the value of stress for which cell division and cell
                      death balance. When two different tissues grow in
                      competition, a difference of their homeostatic stresses
                      determines which tissue grows at the expense of the second.
                      This then leads to the propagation of the interface
                      separating the tissues. Here, we study structural and
                      dynamical properties of this interface by combining
                      continuum theory with mesoscopic simulations of a cell-based
                      model. Using a simulation box that moves with the interface,
                      we find that a stationary state exists in which the
                      interface has a finite width and propagates with a constant
                      velocity. The propagation velocity in the simulations
                      depends linearly on the homeostatic stress difference, in
                      excellent agreement with the analytical predictions. This
                      agreement is also seen for the stress and velocity profiles.
                      Finally, we analyzed the interface growth and roughness as a
                      function of time and system size. We estimated growth and
                      roughness exponents, which differ from those previously
                      obtained for simple tissue growth},
      cin          = {ICS-2},
      ddc          = {530},
      cid          = {I:(DE-Juel1)ICS-2-20110106},
      pnm          = {553 - Physical Basis of Diseases (POF3-553)},
      pid          = {G:(DE-HGF)POF3-553},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000393038300001},
      doi          = {10.1088/1367-2630/18/8/083020},
      url          = {https://juser.fz-juelich.de/record/811859},
}