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SUMMARY:A stochastic model for understanding PIN polarity in isolated cell
 s  - Pau Formosa-Jordan\, Sainsbury Laboratory
DTSTART:20180220T130000Z
DTEND:20180220T140000Z
UID:TALK100789@talks.cam.ac.uk
CONTACT:Dr Vivien Gruar
DESCRIPTION:Living cells often break symmetry and adopt a preferential dir
 ection\, which is known as cell polarity. This process is fundamental in y
 east\, plant and animal cells in a wide variety of contexts [1]. \n\nIn th
 e case of plants\, it has been shown that cell polarity of PIN proteins is
  key for a wide variety of patterns\, ranging from the arrangement of leav
 es and flowers around the shoot [2]\, to vein formation in leaves [3]. \n\
 nRecently\, at the Sainsbury Laboratory (SLCU) we have found that plant ce
 ll cultures expressing a tagged fluorescence PIN reporter can show differe
 nt spatio-temporal stochastic fluctuations of PIN in the cell membrane\, a
 nd that such cells can exhibit PIN polarity even being isolated\, with no 
 direct cell-to-cell interactions (unpublished). \n\nThis project will cons
 ist of studying how dynamic stochastic fluctuations can make cells spontan
 eously polarise\, in a model where PIN polarity can occur when cells are i
 solated (see deterministic models in [1\, 4] or simplified versions of it\
 , e.g. see models in [5]).  Stochastic dynamics will be implemented throug
 h Chemical Langevin Equations [6] with the Organism and Tissue software\, 
 which have been developed at the Jönsson Lab.  There will be also the pos
 sibility to analytically study the different models through linear stabili
 ty analysis [7] and local perturbation analysis [5]. Ultimately\, this pro
 ject will help to develop a better understanding of the nature of the obse
 rved PIN spatio-temporal fluctuations in our cell cultures. This project w
 ill be developed at the SLCU\, within the Jönsson\, Locke and Meyerowitz 
 groups.\n\n# Abley K\, De Reuille PB\, Strutt D\, et al (2013) An intracel
 lular partitioning-based framework for tissue cell polarity in plants and 
 animals. Development 140:2061–2074. doi: doi:10.1242/dev.062984\n# Jöns
 son H\, Heisler MG\, Shapiro BE\, et al (2006) An auxin-driven polarized t
 ransport model for phyllotaxis. Proc Natl Acad Sci U S A 103:1633–1638.\
 n# Rolland-Lagan A\, Prusinkiewicz P (2005) Reviewing models of auxin cana
 lization in the context of leaf vein pattern formation in Arabidopsis. Pla
 nt J 44:854–865.\n# Abley K\, Sauret-gueto S\, Marée AFM\, Coen E (2016
 ) Formation of Polarity Convergences underlying Shoot Outgrowths. 1–60. 
 doi: 10.7554/eLife.18165\n# Edelstein-keshet L\, Holmes WR\, Zajac M\, et 
 al (2013) From simple to detailed models for cell polarization. 368:\n# Gi
 llespie DT (2000) The chemical Langevin equation The chemical Langevin equ
 ation. 297:297–306. doi: 10.1063/1.481811\n# Fàbregas N\, Formosa-Jorda
 n P\, Confraria A\, et al (2015) Auxin Influx Carriers Control Vascular Pa
 tterning and Xylem Differentiation in Arabidopsis thaliana. PLoS Genet 11:
 e1005183. doi: 10.1371/journal.pgen.1005183\n\n
LOCATION:MR3 Centre for Mathematical Sciences
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