M. Bagnat and K. Simons, Cell surface polarization during yeast mating, Proceedings of the National Academy of Sciences, pp.14183-14188, 2002.
DOI : 10.1073/pnas.171160298
URL : http://www.ncbi.nlm.nih.gov/pmc/articles/PMC137858

V. Calvez, R. Hawkins, N. Meunier, and R. Voituriez, Analysis of a Nonlocal Model for Spontaneous Cell Polarization, SIAM Journal on Applied Mathematics, vol.72, issue.2, pp.594-622, 2012.
DOI : 10.1137/11083486X

V. Calvez, N. Meunier, N. Muller, and R. Voituriez, Numerical simulation of the dynamics of molecular markers involved in cell polarisation, Integral methods in science and engineering, progress in numerical and analytical studies, pp.75-89, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00777040

V. Calvez, N. Meunier, and R. Voituriez, A one-dimensional Keller???Segel equation with a drift issued from the boundary, Comptes Rendus Mathematique, vol.348, issue.11-12, pp.11-12629, 2010.
DOI : 10.1016/j.crma.2010.04.009
URL : https://hal.archives-ouvertes.fr/hal-00424649

V. Calvez, B. Perthame, and M. Tabar, Modified Keller-Segel system and critical mass for the log interaction kernel. Stochastic analysis and partial differential equations, 2007.
DOI : 10.1090/conm/429/08229

C. Chou, T. Nie, and . Yi, Modeling Robustness Tradeoffs in Yeast Cell Polarization Induced by Spatial Gradients, PLoS ONE, vol.270, issue.9, p.3103, 2008.
DOI : 10.1371/journal.pone.0003103.s001
URL : http://doi.org/10.1371/journal.pone.0003103

C. Chou, L. Bardwell, Q. Nie, and T. Yi, Noise filtering tradeoffs in spatial gradient sensing and cell polarization response, BMC Systems Biology, vol.5, issue.1, p.196, 2011.
DOI : 10.1016/j.bpj.2009.12.4307
URL : http://doi.org/10.1186/1752-0509-5-196

I. Csiszár, Information-type measures of difference of probability distributions and indirect observations, Studia Sci. Math. Hungar, vol.2, pp.299-318, 1967.

M. Jayme, . Dyer, S. Natasha, M. Savage, . Jin et al., Tracking shallow chemical gradients by actin-driven wandering of the polarization site, Current Biology, 2012.

L. Craig and E. , Partial differential equations, Graduate Studies in Mathematics, vol.19, 1998.

T. Freisinger, B. Klünder, J. Johnson, N. Müller, G. Pichler et al., Establishment of a robust single axis of cell polarity by coupling multiple positive feedback loops, Nature Communications, vol.39, p.1807, 2013.
DOI : 10.1038/ncomms2795

R. Hawkins, O. Benichou, M. Piel, and R. Voituriez, Rebuilding cytoskeleton roads: Active-transport-induced polarization of cells, Physical Review E, vol.80, issue.4, p.40903, 2009.
DOI : 10.1103/PhysRevE.80.040903

C. L. Jackson and L. H. Hartwell, Courtship in S. cerevisiae: Both cell types choose mating partners by responding to the strongest pheromone signal, Cell, vol.63, issue.5, pp.1039-1051, 1990.
DOI : 10.1016/0092-8674(90)90507-B

S. Kullback, On the convergence of discrimination information, IEEE Trans. Information Theory, issue.14, pp.765-766, 1968.

M. J. Lawson, B. Drawert, M. Khammash, L. Petzold, and T. Yi, Spatial Stochastic Dynamics Enable Robust Cell Polarization, PLoS Computational Biology, vol.122, issue.7, p.1003139, 2013.
DOI : 10.1371/journal.pcbi.1003139.s009
URL : http://doi.org/10.1371/journal.pcbi.1003139

T. Lepoutre, N. Meunier, and N. Muller, Cell polarisation model: The 1D case, Journal de Math??matiques Pures et Appliqu??es, vol.101, issue.2, pp.152-171, 2014.
DOI : 10.1016/j.matpur.2013.05.006
URL : https://hal.archives-ouvertes.fr/hal-00776613

K. Madden and M. Snyder, CELL POLARITY AND MORPHOGENESIS IN BUDDING YEAST, Annual Review of Microbiology, vol.52, issue.1, pp.687-744, 1998.
DOI : 10.1146/annurev.micro.52.1.687

T. Moore, C. Chou, . Nie, T. Nl-jeon, and . Yi, Robust Spatial Sensing of Mating Pheromone Gradients by Yeast Cells, PLoS ONE, vol.7, issue.3, p.3865, 2008.
DOI : 10.1371/journal.pone.0003865.s006

T. Moore, H. Tanaka, H. Kim, N. Li-jeon, and T. Yi, Yeast G-proteins mediate directional sensing and polarization behaviors in response to changes in pheromone gradient direction, Molecular Biology of the Cell, vol.24, issue.4, pp.521-555, 2013.
DOI : 10.1091/mbc.E12-10-0739

N. Muller, M. Piel, V. Calvez, R. Voituriez, J. Gonçalves-sá et al., A Predictive Model for Yeast Cell Polarization in Pheromone Gradients, PLOS Computational Biology, vol.150, issue.3
DOI : 10.1371/journal.pcbi.1004795.s001
URL : https://hal.archives-ouvertes.fr/hal-01334085

T. Nagai, Blow-up ofradially symmetric solutions to a chemotaxis system, Adv. Math. Sci. Appl, vol.5, pp.581-601, 1995.

B. Perthame, Transport equations in biology, Frontiers in Mathematics, 2007.

S. Natasha, . Savage, T. Anita, . Layton, J. Daniel et al., Mechanistic mathematical model of polarity in yeast, Molecular biology of the cell, vol.23, issue.10, pp.1998-2013, 2012.

D. Brian, . Slaughter, E. Sarah, R. Smith, and . Li, Symmetry breaking in the life cycle of the budding yeast, Cold Spring Harbor perspectives in biology, vol.1, issue.3, 2009.

D. Brian, J. R. Slaughter, A. Unruh, . Das, E. Sarah et al., Non-uniform membrane diffusion enables steady-state cell polarization via vesicular trafficking, Nature communications, vol.4, p.1380, 2013.

M. Elias and . Stein, Singular integrals and differentiability properties of functions. Princeton mathematical series, 1970.

C. Villani, Topics in optimal transportation, Graduate Studies in Mathematics, vol.58, 2003.
DOI : 10.1090/gsm/058