Abstract
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Signaling within eukaryotic cells is organized in space and time. It is mainly realized by
proteins binding each other or lipid membranes, typically in the vicinity of a membrane-
located receptor. Protein states can be modified through binding and post-translational
modifications such as phosphorylation. Signal transmission in the resulting signaling
networks is highly complex and dynamic. Because of their importance in cancer
development, cellular signaling pathways have attracted quite some modeling effort in order
to understand the wiring of the network, to conceptualize the modes of signal transmission
and to integrate and analyze different types of data.
Cell shape is important for the dynamics of cellular signaling. We investigated the time and
space dependency of cellular signaling on the cell shape by combining experimental time-
resolved data for the activation of cell signaling with image analysis of the affected cells
during a wound-healing experiments and spatio-temporal agent-based modeling. We
performed systematic stochastic simulations and analyzed the resulting temporal behavior
and spatial distribution of different signaling compounds for different cell shapes. As an input
for the simulation pipeline, we adapted a method to create meshes for the surfaces of
arbitrary cell shapes that subsequently can take real image data as input. Systematic
simulation of the network (here exemplified for the ERK signaling pathway) in different cell
shapes and under different conditions led to following insights: (i) Shape influences the
dynamics of signaling molecules in the cytoplasm. (ii) The distribution of receptor molecules
at the surface was not found to be affected by cell shape. (iii) The time needed by
phosphorylated ERK to reach the nucleus is dependent on cell shape, where elongated cell
shapes lead to longer delay between first signal and signal output reaching nucleus. (iv)
Small sub-volumes such cell protrusions can restrict the diffusion of signaling molecules
affecting signal transduction and creating locally different concentrations of signaling
molecules.
We have combined the different analysis steps into a prototypical pipeline. This will in future
allow to investigate the spatio-temporal dynamics of signaling pathways in specific cell
shapes typical for different conditions such as cells in a confluent cell layer, cells invading
empty space, single cells under microscope or migrating tumor cells. This will allow for a
deeper understanding of the mutual dependence of cell shape and signaling.
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