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|Title: ||Intra-membrane ligand diffusion and cell shape modulate juxtacrine patterning|
|Authors: ||Webb, Steven D.|
Owen, Markus R.
|Issue Date: ||2004|
|Abstract: ||A key problem in developmental biology is how pattern and planar polarity are
transmitted in epithelial structures. Examples include Drosophila neuronal differentiation,
ommatidia formation in the compound eye, and wing hair polarisation.
A key component for the generation of such patterns is direct cell-cell signalling by
transmembrane ligands, called juxtacrine signalling. Previous models for this mode
of communication have considered homogeneous distributions in the cell membrane,
and the role of polarity has been largely ignored. In this paper we determine the
role of inhomogeneous protein and receptor distributions in juxtacrine signalling.
We explicitly include individual membrane segments, diffusive transport of proteins
and receptors between these segments, and production terms with a combination of
local and global responses to ligand binding.
Our analysis shows that intra-membrane ligand transport is vital for the generation
of long wavelength patterns. Moreover, with no ligand transport, there
is no pattern formation for lateral induction, a process in which receptor activation
up-regulates ligand production. Biased production of ligand also modulates
patterning bifurcations and predicted wavelengths. In addition, biased ligand and
receptor trafficking can lead to regular polarity across a lattice, in which each cell
has the same orientation — directly analogous to patterns of hairs in the Drosophila
wing. We confirm the trends in pattern wavelengths previously observed for patterns
with cellular homogeneity — lateral inhibition tends to give short range patterns,
while lateral induction can give patterns with much longer wavelengths. Moreover,
the original model can be recovered if intra-membrane bound receptor diffusion is
included and rapid equilibriation between the sides is considered. Finally, we consider
the role of irregular cell shapes and waves in such networks, including wave
propagation past clones of non-signalling cells.|
|Description: ||This pre-print has been submitted and accepted for publication in the journal, Journal of Theoretical Biology. The definitive version: WEBB, S.D. and OWEN, M.R., 2004. Intra-membrane ligand diffusion and cell shape modulate juxtacrine patterning. Journal of Theoretical Biology, 230(1),pp.99-117 is available online at: http://www.sciencedirect.com/science/journal/00225193.|
|Appears in Collections:||Pre-prints (Maths)|
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