Scaling limit of a discrete prion dynamics model
Doumic, Marie ; Goudon, Thierry ; Lepoutre, Thomas
Commun. Math. Sci., Tome 7 (2009) no. 1, p. 839-865 / Harvested from Project Euclid
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This paper investigates the connection between discrete and continuous models describing prion proliferation. The scaling parameters are interpreted on biological grounds and we establish rigorous convergence statements. We also discuss, based on the asymptotic analysis, relevant boundary conditions that can be used to complete the continuous model.
Publié le : 2009-12-15
Classification:  Aggregation fragmentation equations,  asymptotic analysis,  polymerization process,  35B45,  45K05,  92D25 
@article{1264434135,
     author = {Doumic, Marie and Goudon, Thierry and Lepoutre, Thomas},
     title = {Scaling limit of a discrete prion dynamics model},
     journal = {Commun. Math. Sci.},
     volume = {7},
     number = {1},
     year = {2009},
     pages = { 839-865},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1264434135}
}

Doumic, Marie; Goudon, Thierry; Lepoutre, Thomas. Scaling limit of a discrete prion dynamics model. Commun. Math. Sci., Tome 7 (2009) no. 1, pp.  839-865. http://gdmltest.u-ga.fr/item/1264434135/