TY - JOUR
T1 - Modelling in vitro lung branching morphogenesis during development
AU - Hartmann, Dirk
AU - Miura, Takashi
N1 - Funding Information:
The authors would like to thank Professor Gillian Morriss-Kay for critical reading of the manuscript, and Professor Kohei Shiota for financial support. Part of the work has been supported by a scholarship of the GK “Complex Processes: Modeling, Simulation and Optimization” (IWR, University of Heidelberg) and by Japan Society for the Promotion of Science.
Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2006/10/21
Y1 - 2006/10/21
N2 - It has been shown experimentally that lung epithelial explants have an ability to undergo branching morphogenesis without mesenchyme. However, the mechanisms of this phenomenon remain to be elucidated. In the present study, we construct a mathematical model that can reproduce the dynamics of in vitro branching morphogenesis. We show that the system is essentially governed by three variables-c0 which is the initial fibroblast growth factor (FGF) concentration, D which is the diffusion coefficient of FGF, and β which describes the mechanical strength of the cytoskeleton. It is confirmed by numerical simulations that this model can reproduce the experimentally obtained patterns qualitatively. Finally, we experimentally verify two predictions from the model: effects of very high FGF concentration and effects of small mechanical contributions of the cytoskeleton. The theoretical predictions match well with the experimental results.
AB - It has been shown experimentally that lung epithelial explants have an ability to undergo branching morphogenesis without mesenchyme. However, the mechanisms of this phenomenon remain to be elucidated. In the present study, we construct a mathematical model that can reproduce the dynamics of in vitro branching morphogenesis. We show that the system is essentially governed by three variables-c0 which is the initial fibroblast growth factor (FGF) concentration, D which is the diffusion coefficient of FGF, and β which describes the mechanical strength of the cytoskeleton. It is confirmed by numerical simulations that this model can reproduce the experimentally obtained patterns qualitatively. Finally, we experimentally verify two predictions from the model: effects of very high FGF concentration and effects of small mechanical contributions of the cytoskeleton. The theoretical predictions match well with the experimental results.
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U2 - 10.1016/j.jtbi.2006.05.009
DO - 10.1016/j.jtbi.2006.05.009
M3 - Article
C2 - 16808929
AN - SCOPUS:33748472371
SN - 0022-5193
VL - 242
SP - 862
EP - 872
JO - Journal of Theoretical Biology
JF - Journal of Theoretical Biology
IS - 4
ER -