\begin{thebibliography}{10}

\bibitem{von-neumann-livre-automates-cellulaires}
J. von Neumann, {\em Theory of Self-Reproducing Automata} (University of
  Illinois Press, Urbana and London, 1966).

\bibitem{frisch-hasslacher-pomeau-lattice-gas-navier-stokes}
U. Frisch, B. Hasslacher, and Y. Pomeau, \prl {\bf 56},  1505  (1986).

\bibitem{dhumieres-lallemand-frisch-lattice-gas-3d}
D. d'Humi{\`e}res, P. Lallemand, and U. Frisch, \epl {\bf 2},  291  (1986).

\bibitem{rothman-zaleski-revue-gaz-sur-reseau-avec-limite-hydrodynamique}
D.~H. Rothman and S. Zaleski, \rmp {\bf 66},  1417  (1994).

\bibitem{boon-et-al-revue-lattice-gas-avec-reaction}
J.-P. Boon, D. Dab, R. Kapral, and A. Lawniczak, \physrep {\bf 273},  55
  (1996).

\bibitem{ritort-sollich-revue-modeles-a-contraintes-cinetiques}
F. Ritort and P. Sollich, \advphys {\bf 52},  219  (2003).

\bibitem{smith-et-al-modele-spatial-pour-la-rage}
D.~L. Smith {\it et~al.}, \pnas {\bf 99},  3668  (2002).

\bibitem{chowdhury-santen-schadschneider-revue-trafic-vehicules}
D. Chowdhury, L. Santen, and A. Schadschneider, \physrep {\bf 329},  199
  (2000).

\bibitem{helbing-revue-trafic}
D. Helbing, \rmp {\bf 73},  1067  (2001).

\bibitem{hilhorst-appert-multi-lane-tasep-pour-pietons}
H.~J. Hilhorst and C. Appert-Rolland, \jstatmech {\bf 2012},  P06009  (2012).

\bibitem{deutsch-dormann-livre}
A. Deutsch and S. Dormann, {\em Cellular Automaton Modeling of Biological
  Pattern Formation: Characterization, Applications, and Analysis}
  (Birkh{\"a}user, Boston, 2005).

\bibitem{anderson-chaplain-rejniak-livre}
{\em Single-cell-based Models in Biology and Medicine}, edited by A.~R.~A.
  Anderson, M.~A. J.Chaplain, and K.~A. Rejniak (Birkh{\"a}user, Boston, 2007).

\bibitem{alber-kiskowski-glazier-jiang-revue-automates-cellulaires}
M.~S. Alber, M.~A. Kiskowski, J.~A. Glazier, and Y. Jiang,  in {\em
  Mathematical Systems Theory in Biology, Communication, and Finance}, Vol.~134
  of {\em The IMA Volumes in mathematics \& its applications} (Springer-Verlag,
  Berlin, 2003), pp.\ 1--39.

\bibitem{liggett-livre-1985}
T.~M. Liggett, {\em Interacting Particle Systems}, {\em Classics in
  Mathematics} (Springer, Berlin/Heidelberg, 1985).

\bibitem{liggett-livre-1999}
T.~M. Liggett, {\em Stochastic Interacting Systems: Contact, Voter and
  Exclusion Processes}, {\em Grundlehren Der Mathematischen Wissenschaften}
  (Springer, Berlin/Heidelberg, 1999).

\bibitem{spohn-livre-limite-hydrodynamique}
H. Spohn, {\em Large Scale Dynamics of Interacting Particles} (Springer-Verlag,
  Berlin, 1991).

\bibitem{appert-derrida-lecomte-vanwijland-courant-ssep}
C. Appert-Rolland, B. Derrida, V. Lecomte, and F. van Wijland, \pre {\bf 78},
  021122  (2008).

\bibitem{garrahan-sollich-toninelli-revue-modeles-a-contraintes-cinetiques}
J.~P. Garrahan, P. Sollich, and C. Toninelli,  in {\em Dynamical
  heterogeneities in Glasses, colloids and granular media and jamming
  transitions}, {\em International series of monographs in physics} (Oxford
  University Press, Oxford, 2011), Chap.~10, pp.\ 341--369.

\bibitem{simpson-et-al-catalogue-interactions-de-contact}
A.~E. Fernando, K.~A. Landman, and M.~J. Simpson, \pre {\bf 81},  011903
  (2010).

\bibitem{schmeiser-anguige-limite-continue-1d-avec-adhesion}
K. Anguige and C. Schmeiser, \jmathbiol {\bf 58},  395  (2009).

\bibitem{taueber-et-al-revue-rg-pour-reaction-diffusion}
U.~C. T{\"a}uber, M. Howard, and B.~P. Vollmayr-Lee, \jphysamg {\bf 38},  R79
  (2005).

\bibitem{murray-et-al-classification-forces-via-limite-continue}
P.~J. Murray, C.~M. Edwards, M.~J. Tindall, and P.~K. Maini, \pre {\bf 85},
  021921  (2012).

\bibitem{de-masi-presutti-livre-limite-hydrodynamique}
A. {De~Masi} and E. Presutti, {\em Mathematical Methods for Hydrodynamic
  Limits} (Springer-Verlag, Berlin, 1991).

\bibitem{kipnis-landim-livre-limite-hydrodynamique}
C. Kipnis and C. Landim, {\em Scaling Limits of Interacting Particle Systems}
  (Springer-Verlag, Berlin, 1999).

\bibitem{fritz-preuve-diffusion-non-lineaire-a-partir-de-limite-hydro}
J. Fritz, \jstatphys {\bf 47},  551  (1987).

\bibitem{guo-papanicolaou-varadhan-preuve-diffusion-non-lineaire-a-partir-de-limite-hydro}
M.~Z. Guo, G.~C. Papanicolaou, and S.~R.~S. Varadhan, \communmathphys {\bf
  118},  31  (1988).

\bibitem{varadhan-preuve-diffusion-non-lineaire-a-partir-de-limite-hydro}
S.~R.~S. Varadhan, \communmathphys {\bf 135},  313  (1991).

\bibitem{varadhan-yau-preuve-diffusion-non-lineaire-a-partir-de-limite-hydro}
S.~R.~S. Varadhan and H.-T. Yau, Asian J. Math. {\bf 1},  623  (1997).

\bibitem{goncalves-landim-toninelli-porous-medium-equation-comme-limite-hydrodynamique}
P. Gon\c{c}alves, C. Landim, and C. Toninelli, Annales de l'I.H.P. (B)
  Probabilit{\'e}s et statistiques {\bf 45},  887  (2009).

\bibitem{chapman-cowling-livre}
S. Chapman and T.~G. Cowling, {\em The Mathematical Theory of Non-Uniform Gases
  -- 3rd edition} (Cambridge University Press, Cambridge, 1970).

\bibitem{vankampen-livre}
N.~G. van Kampen, {\em Stochastic Processes in Physics and Chemistry -- 2nd
  Edition} (Elsevier, Amsterdam, 1997).

\bibitem{painter-discrete-continuous-cell-movement}
S. Turner, J.~A. Sherratt, K.~J. Painter, and N.~J. Savill, \pre {\bf 69},
  021910  (2004).

\bibitem{alber-et-al-limite-continue-potts-1}
M. Alber, N. Chen, T. Glimm, and P.~M. Lushnikov, \pre {\bf 73},  051901
  (2006).

\bibitem{alber-et-al-limite-continue-potts-2}
P.~M. Lushnikov, N. Chen, and M. Alber, \pre {\bf 78},  061904  (2008).

\bibitem{drasdo-coarse-graining}
D. Drasdo, Advances in Complex Systems {\bf 8},  319  (2005).

\bibitem{hatzikirou-brusch-deutsch-limite-continue-lgca}
H. Hatzikirou, L. Brusch, and A. Deutsch, Acta Physica Polonica B Proc. Suppl.
  {\bf 3},  399  (2010).

\bibitem{murray-et-al-limite-continue-1d-avec-forces}
P.~J. Murray, C.~M. Edwards, M.~J. Tindall, and P.~K. Maini, \pre {\bf 80},
  031912  (2009).

\bibitem{drasdo-et-al-classification-croissance-prl}
M. Block, E. Sch{\"oll}, and D. Drasdo, \prl {\bf 99},  248101  (2007).

\bibitem{boon-et-al-limite-hydro-diffusion-non-lineaire-epl}
J.-P. Boon and J.~F. Lutsko, \epl {\bf 80},  60006  (2007).

\bibitem{boon-et-al-limite-hydro-diffusion-non-lineaire-pre}
J.~F. Lutsko and J.-P. Boon, \pre {\bf 77},  051103  (2008).

\bibitem{boon-et-al-limite-hydro-diffusion-non-lineaire-morphogene}
J.-P. Boon, J.~F. Lutsko, and C. Lutsko, \pre {\bf 85},  021126  (2012).

\bibitem{penington-et-al-generalisation-limite-continue}
C.~J. Penington, B.~D. Hughes, and K.~A. Landman, \pre {\bf 84},  041120
  (2011).

\bibitem{limite-continue-modele-ma-champ-moyen}
C. Deroulers, M. Aubert, M. Badoual, and B. Grammaticos, \pre {\bf 79},  031917
   (2009).

\bibitem{simpson-et-al-adhesion}
M.~J. Simpson, C. Towne, D.~L.~S. McElwain, and Z. Upton, \pre {\bf 82},
  041901  (2010).

\bibitem{butcher-summerfield-pair-approximation-hopping-conductivity}
P.~N. Butcher and S. Summerfield, \jphysc {\bf 14},  L1099  (1981).

\bibitem{tahirkheli-eliott-diffusion-traceur}
R.~A. Tahir-Kheli and R.~J. Elliott, \prb {\bf 27},  844  (1983).

\bibitem{rudavets-pairing-correlations}
M.~G. Rudavets, \jphysamg {\bf 26},  5313  (1993).

\bibitem{joo-lebowitz-pair-approximation-dans-sirs}
J. Joo and J.~L. Lebowitz, \pre {\bf 70},  036114  (2004).

\bibitem{matsuda-et-al-lotka-volterra-avec-pair-approximation}
H. Matsuda, N. Ogita, A. Sasaki, and K. Sat{\={o}}, \progtheorphys {\bf 88},
  1035  (1992).

\bibitem{ellner-pair-approximation-with-multiple-interaction-scales}
S.~P. Ellner, \jtheorbiol {\bf 210},  435  (2001).

\bibitem{simpson-baker-correcting-mean-field-uniform-in-space}
R.~E. Baker and M.~J. Simpson, \pre {\bf 82},  041905  (2010).

\bibitem{simpson-baker-correcting-mean-field-adhesion-1d}
S.~T. Johnston, M.~J. Simpson, and R.~E. Baker, \pre {\bf 85},  051922  (2012).

\bibitem{baker-simpson-correcting-mean-field-spatially-dependent}
M.~J. Simpson and R.~E. Baker, \pre {\bf 83},  051922  (2011).

\bibitem{khain-et-al-hypoxie}
E. Khain {\it et~al.}, \pre {\bf 83},  031920  (2011).

\bibitem{aubert-et-al-migration-sans-astrocytes-sains}
M. Aubert {\it et~al.}, \physbiol {\bf 3},  93  (2006).

\bibitem{khain-et-al-cell-cell-adhesion-wound-healing}
E. Khain, L.~M. Sander, and C.~M. Schneider-Mizell, \jstatphys {\bf 128},  209
  (2007).

\bibitem{khain-et-al-adhesion-lignees-de-gliomes-sans-migration}
E. Khain {\it et~al.}, \epl {\bf 88},  28006  (2009).

\bibitem{aubert-et-al-migration-avec-astrocytes-sains}
M. Aubert, M. Badoual, C. Christov, and B. Grammaticos, \jrsocinterface {\bf
  5},  75  (2008).

\bibitem{mesnil-et-al-gap-junctions-cancer}
L. Cronier {\it et~al.}, Antioxidants \& Redox Signaling {\bf 11},  323
  (2009).

\bibitem{effet-inhibition-jonctions-communicantes}
M. Badoual, C. Deroulers, M. Aubert, and B. Grammaticos, \physbiol {\bf 7},
  046013  (2010).

\bibitem{jaeckle-kroenig-2tlg-autodiffusion}
J. J{\"a}ckle and A. Kr{\"o}nig, \jphyscondmat {\bf 6},  7633  (1994).

\bibitem{kroenig-jaeckle-2tlg-diffusion-collective}
A. Kr{\"o}nig and J. J{\"a}ckle, \jphyscondmat {\bf 6},  7655  (1994).

\bibitem{pan-garrahan-chandler-2tlg}
A.~C. Pan, J.~P. Garrahan, and D. Chandler, \pre {\bf 72},  041106  (2005).

\bibitem{hedges-garrahan-2tlg}
L.~O. Hedges and J.~P. Garrahan, \jphyscondmat {\bf 19},  205124  (2007).

\bibitem{spohn-correlations-hors-equilibre}
H. Spohn, \jphysamg {\bf 16},  4275  (1983).

\bibitem{garrido-lebowitz-maes-spohn-correlations-hors-equilibre}
P.~L. Garrido, J.~L. Lebowitz, C. Maes, and H. Spohn, \pra {\bf 42},  1954
  (1990).

\bibitem{cellular-automata-complexity}
S. Wolfram, {\em Cellular Automata and Complexity: Collected Papers}
  (Addison-Wesley, Reading, MA, 1994).

\bibitem{random-order}
D. {Cornforth}, D.~G. {Green}, and D. {Newth}, Physica D Nonlinear Phenomena
  {\bf 204},  70  (2005).

\bibitem{ca-biomath}
T. Kitagawa, Mathematical Biosciences {\bf 19},  27   (1974).

\bibitem{async-ca}
T.~E. {Ingerson} and R.~L. {Buvel}, Physica D Nonlinear Phenomena {\bf 10},  59
   (1984).

\bibitem{ASEP-update}
N. Rajewsky, L. Santen, A. Schadschneider, and M. Schreckenberg, Journal of
  Statistical Physics {\bf 92},  151  (1998).

\bibitem{10-lectures-particle-sys}
P. Biane, R. Durrett, and R. Durrett, {\em Lectures on Probability Theory},
  Vol.~1608 of {\em Lecture Notes in Mathematics} (Springer, Berlin /
  Heidelberg, 1995), pp.\ 97--201.

\bibitem{simpson-pme}
M.~J. Simpson, R.~E. Baker, and S.~W. McCue, Phys. Rev. E {\bf 83},  021901
  (2011).

\bibitem{witelski-pme-interaction}
T.~P. Witelski, Journal of Mathematical Biology {\bf 35},  695  (1997).

\bibitem{sachdev-selfsimilarity-asyptotic}
P. Sachdev, {\em Self-Similarity and Beyond: Exact Solutions of Nonlinear
  Problems}, {\em Chapman \& Hall/CRC monographs and surveys in pure and
  applied mathematics} (Taylor \& Francis, UK, 2000).

\bibitem{pme-selfsimilarity}
J.~L. Vazquez, {\em The Porous Medium Equation: Mathematical Theory (Oxford
  Mathematical Monographs)}, 1 ed. (Oxford University Press, Oxford, 2006).

\bibitem{deroulers-monasson-proccont}
C. Deroulers and R. Monasson, \pre {\bf 69},  016126  (2004).

\bibitem{evans-morris-livre}
D.~J. Evans and G.~P. Morris, {\em Statistical Mechanics of Nonequilibrium
  Liquids} (Cambridge University Press, Cambridge, 1990).

\bibitem{doi}
M. Doi, \jphysamg {\bf 9},  1465  (1976).

\bibitem{giese-invasion}
A. Giese, R. Bjerkvig, M.~E. Berens, and M. Westphal, J. Clin. Oncol. {\bf 21},
   1624  (2003).

\bibitem{fedotov-et-al-migration-proliferation-dichotomy-anomalous-switching}
S. Fedotov, A. Iomin, and L. Ryashko, \pre {\bf 84},  061131  (2011).

\bibitem{simpson-et-al-mesoscale-patterns}
M.~J. Simpson, K.~A. Landman, B.~D. Hughes, and A.~E. Fernando, \physicaa {\bf
  389},  1412  (2010).

\bibitem{landmann-fernando-myopic-random-walkers}
K.~A. Landman and A.~E. Fernando, \physicaa {\bf 390},  3742  (2011).

\end{thebibliography}
