Computational modelling of epidermal stratification highlights the importance of asymmetric cell division for predictable and robust layer formation

Skin is a complex organ tasked with, among other functions, protecting the body from the outside world. Its outermost protective layer, the epidermis, is comprised of multiple cell layers that are derived from a single-layered ectoderm during development. Using a new stochastic, multi-scale computational modelling framework, the anisotropic subcellular element method, we investigate the role of cell morphology and biophysical cell–cell interactions in the formation of this layered structure. This three-dimensional framework describes interactions between collections of hundreds to thousands of cells and (i) accounts for intracellular structure and morphology, (ii) easily incorporates complex cell–cell interactions and (iii) can be efficiently implemented on parallel architectures. We use this approach to construct a model of the developing epidermis that accounts for the internal polarity of ectodermal cells and their columnar morphology. Using this model, we show that cell detachment, which has been previously suggested to have a role in this process, leads to unpredictable, randomized stratification and that this cannot be abrogated by adjustment of cell–cell adhesion interaction strength. Polarized distribution of cell adhesion proteins, motivated by epithelial polarization, can however eliminate this detachment, and in conjunction with asymmetric cell division lead to robust and predictable development.

[1]  E. Fuchs,et al.  Programming gene expression in developing epidermis. , 1994, Development.

[2]  H. Pasolli,et al.  Asymmetric Cell Divisions Promote Notch-Dependent Epidermal Differentiation , 2011, Nature.

[3]  T. Lechler,et al.  Robust control of mitotic spindle orientation in the developing epidermis , 2010, The Journal of cell biology.

[4]  J. Nance,et al.  PAR-3 mediates the initial clustering and apical localization of junction and polarity proteins during C. elegans intestinal epithelial cell polarization , 2010, Journal of Cell Science.

[5]  D. Roop,et al.  Mechanisms regulating epithelial stratification. , 2007, Annual review of cell and developmental biology.

[6]  N. Britton,et al.  Stochastic simulation of benign avascular tumour growth using the Potts model , 1999 .

[7]  J. Segre,et al.  Epidermal barrier formation and recovery in skin disorders. , 2006, The Journal of clinical investigation.

[8]  B. Thiers,et al.  A single type of progenitor cell maintains normal epidermis , 2008 .

[9]  J. Segre Complex redundancy to build a simple epidermal permeability barrier. , 2003, Current opinion in cell biology.

[10]  Elaine Fuchs,et al.  Getting under the skin of epidermal morphogenesis , 2002, Nature Reviews Genetics.

[11]  Christopher P. Crum,et al.  p63 is essential for regenerative proliferation in limb, craniofacial and epithelial development , 1999, Nature.

[12]  P. Cartlidge,et al.  The epidermal barrier. , 2000, Seminars in neonatology : SN.

[13]  S A Newman,et al.  On multiscale approaches to three-dimensional modelling of morphogenesis , 2005, Journal of The Royal Society Interface.

[14]  E. Fuchs,et al.  Epidermal homeostasis: a balancing act of stem cells in the skin , 2009, Nature Reviews Molecular Cell Biology.

[15]  F. Watt Selective migration of terminally differentiating cells from the basal layer of cultured human epidermis , 1984, The Journal of cell biology.

[16]  Zhiliang Xu,et al.  A multiscale model of thrombus development , 2008, Journal of The Royal Society Interface.

[17]  Faruck Morcos,et al.  Study of elastic collisions of Myxococcus xanthus in swarms , 2011, Physical biology.

[18]  J. Thiery,et al.  Integrins stimulate E-cadherin-mediated intercellular adhesion by regulating Src-kinase activation and actomyosin contractility , 2010, Journal of Cell Science.

[19]  P. Jones,et al.  Act your age: tuning cell behavior to tissue requirements in interfollicular epidermis. , 2012, Seminars in cell & developmental biology.

[20]  Bretschneider,et al.  A model for dictyostelium slug movement , 1999, Journal of theoretical biology.

[21]  I. Smart VARIATION IN THE PLANE OF CELL CLEAVAGE DURING THE PROCESS OF STRATIFICATION IN THE MOUSE EPIDERMIS , 1970, The British journal of dermatology.

[22]  Christopher R. Sweet,et al.  Modelling platelet–blood flow interaction using the subcellular element Langevin method , 2011, Journal of The Royal Society Interface.

[23]  T. Newman,et al.  Modeling multicellular systems using subcellular elements. , 2005, Mathematical biosciences and engineering : MBE.

[24]  F. Watt,et al.  Stratification and terminal differentiation of cultured epidermal cells , 1982, Nature.

[25]  E. Fuchs,et al.  Actin cable dynamics and Rho/Rock orchestrate a polarized cytoskeletal architecture in the early steps of assembling a stratified epithelium. , 2002, Developmental cell.

[26]  T. Newman,et al.  Grid-free models of multicellular systems, with an application to large-scale vortices accompanying primitive streak formation. , 2008, Current topics in developmental biology.

[27]  Carsten Peterson,et al.  Simulating the Mammalian Blastocyst - Molecular and Mechanical Interactions Pattern the Embryo , 2011, PLoS Comput. Biol..

[28]  T. Newman,et al.  Modeling cell rheology with the Subcellular Element Model , 2008, Physical biology.

[29]  Integrins and cadherins join forces to form adhesive networks , 2011, Journal of Cell Science.

[30]  A. Agrawal,et al.  Ovol1 regulates the growth arrest of embryonic epidermal progenitor cells and represses c-myc transcription , 2006, The Journal of cell biology.

[31]  Allon M. Klein,et al.  The ordered architecture of murine ear epidermis is maintained by progenitor cells with random fate. , 2010, Developmental cell.

[32]  Elaine Fuchs,et al.  Asymmetric cell divisions promote stratification and differentiation of mammalian skin , 2005, Nature.

[33]  R. Grima,et al.  Many-body theory of chemotactic cell-cell interactions. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[34]  Qing Nie,et al.  Integrative multicellular biological modeling: a case study of 3D epidermal development using GPU algorithms , 2010, BMC Systems Biology.

[35]  D. Roop,et al.  Asymmetric cell division in skin development: a new look at an old observation. , 2005, Developmental cell.

[36]  Hebao Yuan,et al.  Polarity in stem cell division: asymmetric stem cell division in tissue homeostasis. , 2010, Cold Spring Harbor perspectives in biology.

[37]  Leah Edelstein-Keshet,et al.  A Comparison of Computational Models for Eukaryotic Cell Shape and Motility , 2012, PLoS Comput. Biol..

[38]  E. Fuchs Finding one's niche in the skin. , 2009, Cell stem cell.

[39]  E. Fuchs,et al.  Building epithelial tissues from skin stem cells. , 2008, Cold Spring Harbor symposia on quantitative biology.

[40]  H. Vogel,et al.  p63 is a p53 homologue required for limb and epidermal morphogenesis , 1999, Nature.