H. T. Banks, M. Doumic, C. Kruse, S. Prigent, and H. Rezaei, Information content in data sets for a nucleated-polymerization model, Journal of Biological Dynamics, vol.11, issue.1, pp.172-197, 2015.
DOI : 10.1016/j.bpj.2013.10.034
URL : https://hal.archives-ouvertes.fr/hal-01123847

H. T. Banks, M. Doumic-jauffret, and C. Kruse, Efficient numerical schemes for nucleation-aggregation models: Early steps, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00954437

H. T. Banks, A Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering, 2012.
DOI : 10.1201/b12209

H. T. Banks and D. M. Bortz, A parameter sensitivity methodology in the context of HIV delay equation models, Journal of Mathematical Biology, vol.17, issue.6, pp.607-625, 2005.
DOI : 10.1007/s00285-004-0299-x

M. Kiersten, B. J. Batzli, and . Love, Agitation of amyloid proteins to speed aggregation measured by ThT fluorescence: A call for standardization, Materials Science and Engineering: C, issue.0, pp.48359-364, 2015.

J. Baumeister and A. Leitão, Topics in inverse problems, Publicações Matemáticas do IMPA. [IMPA Mathematical Publication]. Instituto Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro, 25 o colóquio brasileiro de matemática, 2005.

A. Bensoussan, Filtrage Optimal des Systèmes Lineaires, Méthodes Mathématiques de l'informatique. Dunod, 1971.

M. F. Bishop and F. A. Ferrone, Kinetics of nucleation-controlled polymerization. A perturbation treatment for use with a secondary pathway, Biophysical Journal, vol.46, issue.5, pp.631-644, 1984.
DOI : 10.1016/S0006-3495(84)84062-X

M. Doumic, T. Goudon, and T. Lepoutre, Scaling limit of a discrete prion dynamics model, Communications in Mathematical Sciences, vol.7, issue.4, pp.839-865, 2009.
DOI : 10.4310/CMS.2009.v7.n4.a3
URL : https://hal.archives-ouvertes.fr/inria-00403914

F. Eghiaian, T. Daubenfeld, Y. Quenet, M. Van-audenhaege, A. Bouin et al., Diversity in prion protein oligomerization pathways results from domain expansion as revealed by hydrogen/deuterium exchange and disulfide linkage, Proceedings of the National Academy of Sciences, vol.104, issue.18, pp.7414-7419, 2007.
DOI : 10.1073/pnas.0607745104
URL : https://hal.archives-ouvertes.fr/inserm-00172995

F. Eghiaian, T. Daubenfeld, Y. Quenet, M. Van-audenhaege, A. Bouin et al., The oligomerization properties of prion protein are restricted to the H2H3 domain, The FASEB Journal, vol.24, issue.9, pp.3222-3231, 2010.

H. W. Engl, M. Hanke, and A. Neubauer, Regularization of Inverse Problems, of Mathematics and its Applications, 1996.

I. M. Lifshitz, The kinetics of precipitation from supersaturated solid solutions, Journal of Physics and Chemistry of Solids, vol.19, issue.1-2, pp.35-50, 1961.
DOI : 10.1016/0022-3697(61)90054-3

F. , L. Dimet, and O. Talagrand, Variational algorithms for analysis and assimilation of meteorological observations: Theoretical aspects, Tellus A, vol.38, issue.2, pp.97-110, 1986.

R. J. Leveque, Finite-Volume Methods for Hyperbolic Problems, 2002.
DOI : 10.1017/CBO9780511791253

M. Nussbaum, Asymptotic equivalence of density estimation and Gaussian white noise, The Annals of Statistics, vol.24, issue.6, pp.2399-2430, 1996.
DOI : 10.1214/aos/1032181160

M. Nussbaum, V. Sergej, and . Pereverzev, The Degree of Ill Posedness in Stochastic and Deterministic Noise Model, WIAS, 1999.

J. Sophocles and . Orfanidis, Introduction to Signal Processing, 1996.

Y. Sian, D. E. Ow, and . Dunstan, A brief overview of amyloids and alzheimer's disease, Protein Science, vol.23, issue.10, pp.1315-1331, 2014.

A. Perasso, B. Laroche, Y. Chitour, and S. Touzeau, Identifiability analysis of an epidemiological model in a structured population, Journal of Mathematical Analysis and Applications, vol.374, issue.1, pp.154-165, 2011.
DOI : 10.1016/j.jmaa.2010.08.072
URL : https://hal.archives-ouvertes.fr/hal-00655939

S. Prigent, A. Ballesta, F. Charles, N. Lenuzza, P. Gabriel et al., An Efficient Kinetic Model for Assemblies of Amyloid Fibrils and Its Application to Polyglutamine Aggregation, PLoS ONE, vol.513, issue.1, p.2012
DOI : 10.1371/journal.pone.0043273.s008
URL : https://hal.archives-ouvertes.fr/hal-00778052

M. Ramìrez-alvarado, J. S. Merkel, and L. Regan, A systematic exploration of the influence of the protein stability on amyloid fibril formation in vitro, Proceedings of the National Academy of Sciences, vol.97, issue.16, pp.8979-8984, 2000.
DOI : 10.1073/pnas.150091797

H. Rezaei, F. Eghiaian, J. Perez, B. Doublet, Y. Choiset et al., Sequential Generation of Two Structurally Distinct Ovine Prion Protein Soluble Oligomers Displaying Different Biochemical Reactivities, Journal of Molecular Biology, vol.347, issue.3, pp.665-679, 2005.
DOI : 10.1016/j.jmb.2005.01.043

D. Simon, Optimal State Estimation: Kalman, H Infinity, And Nonlinear Approaches, 2006.
DOI : 10.1002/0470045345

S. Simoneau, H. Rezaei, N. Salès, G. Kaiser-schulz, M. Lefebvre-roque et al., In Vitro and In Vivo Neurotoxicity of Prion Protein Oligomers, PLoS Pathogens, vol.276, issue.8, 2007.
DOI : 0021-9258(2001)276[43516:PPFPIA]2.0.CO;2

D. Some, Light-scattering-based analysis of biomolecular interactions, Biophysical Reviews, vol.290, issue.2, pp.147-158, 2013.
DOI : 10.1007/s12551-013-0107-1

M. P. Wand and M. C. Jones, Kernel Smoothing, 1994.
DOI : 10.1007/978-1-4899-4493-1

W. Xue, S. Homans, and S. Radford, Systematic analysis of nucleationdependent polymerization reveals new insights into the mechanism of amyloid selfassembly, pp.8926-8931, 2008.

W. Xue and S. Radford, An Imaging and Systems Modeling Approach to Fibril Breakage Enables Prediction of Amyloid Behavior, Biophysical Journal, vol.105, issue.12, pp.2811-2819, 2013.
DOI : 10.1016/j.bpj.2013.10.034