-
1
-
-
49549125423
-
-
Bacaër N, Abdurahman X (2008) Resonance of the epidemic threshold in a periodic environment. J Math Biol 57(5):649–673. 0303-6812
-
Bacaër N, Abdurahman X (2008) Resonance of the epidemic threshold in a periodic environment. J Math Biol 57(5):649–673. doi:10.1007/s00285-008-0183-1. ISSN 0303-6812
-
-
-
-
2
-
-
36148974693
-
-
Bacaër N, Ouifki R (2007) Growth rate and basic reproduction number for population models with a simple periodic factor. Math Biosci 210(2):647–658.0025-5564
-
Bacaër N, Ouifki R (2007) Growth rate and basic reproduction number for population models with a simple periodic factor. Math Biosci 210(2):647–658. doi:10.1016/j.mbs.2007.07.005. ISSN 0025-5564
-
-
-
-
3
-
-
84862668659
-
-
Calvez V, Doumic M, Gabriel P (2012) Self-similarity in a general aggregation-fragmentation problem. Application to fitness analysis. Journal de Mathmatiques Pures et Appliques 98(1):1–27. 0021-7824
-
Calvez V, Doumic M, Gabriel P (2012) Self-similarity in a general aggregation-fragmentation problem. Application to fitness analysis. Journal de Mathmatiques Pures et Appliques 98(1):1–27. doi:10.1016/j.matpur.2012.01.004. ISSN 0021-7824
-
-
-
-
5
-
-
77957349911
-
Prion dynamic with size dependency—strain phenomena
-
Calvez V, Lenuzza N, Doumic M, Deslys J-P, Mouthon F, Perthame B (2010) Prion dynamic with size dependency—strain phenomena. J Biol Dyn 4(1):28–42
-
(2010)
J Biol Dyn
, vol.4
, Issue.1
, pp. 28-42
-
-
Calvez, V.1
Lenuzza, N.2
Doumic, M.3
Deslys, J.-P.4
Mouthon, F.5
Perthame, B.6
-
6
-
-
57849154012
-
Size distribution dependence of prion aggregates infectivity
-
Calvez V, Lenuzza N, Oelz D, Deslys J-P, Laurent P, Mouthon F, Perthame B (2009) Size distribution dependence of prion aggregates infectivity. Math Biosci 1:88–99
-
(2009)
Math Biosci
, vol.1
, pp. 88-99
-
-
Calvez, V.1
Lenuzza, N.2
Oelz, D.3
Deslys, J.-P.4
Laurent, P.5
Mouthon, F.6
Perthame, B.7
-
7
-
-
17444413067
-
In vitro generation of infectious scrapie prions
-
Castilla J, Saá P, Hetz C, Soto C (2005) In vitro generation of infectious scrapie prions. Cell 121(2):195–206
-
(2005)
Cell
, vol.121
, Issue.2
, pp. 195-206
-
-
Castilla, J.1
Saá, P.2
Hetz, C.3
Soto, C.4
-
8
-
-
77950847287
-
Comparison of Perron and Floquet eigenvalues in age structured cell division cycle models
-
Clairambault J, Gaubert S, Lepoutre T (2009) Comparison of Perron and Floquet eigenvalues in age structured cell division cycle models. Math Model Nat Phenom 4(3):183–209
-
(2009)
Math Model Nat Phenom
, vol.4
, Issue.3
, pp. 183-209
-
-
Clairambault, J.1
Gaubert, S.2
Lepoutre, T.3
-
9
-
-
77953191728
-
Eigenelements of a general aggregation–fragmentation model
-
Doumic M, Gabriel P (2010) Eigenelements of a general aggregation–fragmentation model. Math Models Methods Appl Sci 20(5):757–783. doi:10.1142/S021820251000443X
-
(2010)
Math Models Methods Appl Sci
, vol.20
, Issue.5
, pp. 757-783
-
-
Doumic, M.1
Gabriel, P.2
-
10
-
-
77953934427
-
Scaling limit of a discrete prion dynamics model
-
Doumic M, Goudon T, Lepoutre T (2009) Scaling limit of a discrete prion dynamics model. Comm Math Sci 7(4):839–865
-
(2009)
Comm Math Sci
, vol.7
, Issue.4
, pp. 839-865
-
-
Doumic, M.1
Goudon, T.2
Lepoutre, T.3
-
11
-
-
84878949906
-
-
Doumic M, Tine LM (2013) Estimating the division rate for the growth-fragmentation equation. J Math Biol 67(1):69–103.0303-6812
-
Doumic M, Tine LM (2013) Estimating the division rate for the growth-fragmentation equation. J Math Biol 67(1):69–103. doi:10.1007/s00285-012-0553-6. ISSN 0303-6812
-
-
-
-
12
-
-
84861755321
-
Équations de transport-fragmentation et applications aux maladies à prions [Transport-fragmentation equations and applications to prion diseases]
-
PhD , Paris
-
Gabriel P (2011) Équations de transport-fragmentation et applications aux maladies à prions [Transport-fragmentation equations and applications to prion diseases]. PhD thesis, Paris
-
(2011)
Thesis
-
-
Gabriel, P.1
-
13
-
-
79951577161
-
The shape of the polymerization rate in the prion equation. Math Comput Model 53(7–8):1451–1456. doi:10.1016/j.mcm.2010.03.032
-
Gabriel P (2011) The shape of the polymerization rate in the prion equation. Math Comput Model 53(7–8):1451–1456. doi:10.1016/j.mcm.2010.03.032. ISSN 0895-7177
-
(2011)
ISSN 0895-7177
-
-
Gabriel, P.1
-
14
-
-
84861719248
-
Long-time asymptotics for nonlinear growth-fragmentation equations. Commun
-
Gabriel P (2012) Long-time asymptotics for nonlinear growth-fragmentation equations. Commun Math Sci 10(3):787–820. ISSN 1539-6746
-
(2012)
Math Sci 10(3):787–820. ISSN
, pp. 1539-6746
-
-
Gabriel, P.1
-
16
-
-
0014190760
-
Nature of the scrapie agent: self-replication and scrapie
-
Griffith JS (1967) Nature of the scrapie agent: self-replication and scrapie. Nature 215(5105):1043–1044
-
(1967)
Nature
, vol.215
, Issue.5105
, pp. 1043-1044
-
-
Griffith, J.S.1
-
17
-
-
0027195933
-
-
Jarrett JT, Lansbury PT (1993) Seeding “one-dimensional crystallization” of amyloid: a pathogenic mechanism in Alzheimer’s disease and scrapie? Cell 73(6):1055–1058. 0092-8674
-
Jarrett JT, Lansbury PT (1993) Seeding “one-dimensional crystallization” of amyloid: a pathogenic mechanism in Alzheimer’s disease and scrapie? Cell 73(6):1055–1058. doi:10.1016/0092-8674(93)90635-4. ISSN 0092-8674
-
-
-
-
18
-
-
34247593078
-
Well-posedness for a model of prion proliferation dynamics
-
Laurençot P, Walker C (2007) Well-posedness for a model of prion proliferation dynamics. J Evol Equ 7(2):241–264. ISSN 1424-3199
-
(2007)
J Evol Equ 7(2):241–264. ISSN
, pp. 1424-3199
-
-
Laurençot, P.1
Walker, C.2
-
19
-
-
0003328875
-
Analysis of a cell-cycle specific model for cancer chemotherapy
-
Ledzewicz U, Schättler H (2002) Analysis of a cell-cycle specific model for cancer chemotherapy. J Biol Syst 10(03):183–206. doi:10.1142/S0218339002000597
-
(2002)
J Biol Syst
, vol.10
, Issue.3
, pp. 183-206
-
-
Ledzewicz, U.1
Schättler, H.2
-
20
-
-
85139380514
-
-
Ledzewicz U, Schättler H (2002) Optimal bang–bang controls for a two-compartment model in cancer chemotherapy. J Optim Theory Appl 114(3):609–637. 0022-3239
-
Ledzewicz U, Schättler H (2002) Optimal bang–bang controls for a two-compartment model in cancer chemotherapy. J Optim Theory Appl 114(3):609–637. doi:10.1023/A:1016027113579. ISSN 0022-3239
-
-
-
-
21
-
-
84958744719
-
Analysis of models for evolving drug resistance in cancer chemotherapy. Dyn Contin Discrete Impuls Syst Ser A
-
Ledzewicz U, Schättler H (2006) Analysis of models for evolving drug resistance in cancer chemotherapy. Dyn Contin Discrete Impuls Syst Ser A Math Anal 13B(suppl.): 291–304. ISSN 1201-3390
-
(2006)
Math Anal 13B(suppl.): 291–304. ISSN
, pp. 1201-3390
-
-
Ledzewicz, U.1
Schättler, H.2
-
22
-
-
33644522771
-
Drug resistance in cancer chemotherapy as an optimal control problem. Discret Contin Dyn Syst Ser B 6(1):129–150
-
Ledzewicz U, Schättler H (2006) Drug resistance in cancer chemotherapy as an optimal control problem. Discret Contin Dyn Syst Ser B 6(1):129–150. ISSN 1531-3492
-
(2006)
ISSN
, pp. 1531-3492
-
-
Ledzewicz, U.1
Schättler, H.2
-
23
-
-
84958791265
-
Foundations of optimal control theory, 2nd edn. Robert E. Krieger Publishing Co., Inc, Melbourne
-
Lee E, Markus L (1986) Foundations of optimal control theory, 2nd edn. Robert E. Krieger Publishing Co., Inc, Melbourne. ISBN 0-89874-807-0
-
(1986)
ISBN 0-89874-807-0
-
-
Lee, E.1
Markus, L.2
-
24
-
-
0032968132
-
Quantifying the kinetic parameters of prion replication. Biophys Chem 77(2–3): 139–152. doi:10.1016/S0301-4622(99)00016-2
-
Masel J, Jansen VAA, Nowak MA (1999) Quantifying the kinetic parameters of prion replication. Biophys Chem 77(2–3): 139–152. doi:10.1016/S0301-4622(99)00016-2. ISSN 0301-4622
-
(1999)
ISSN 0301-4622
-
-
Masel, J.1
Jansen, V.A.A.2
Nowak, M.A.3
-
25
-
-
77953198837
-
Optimal proliferation rate in a cell division model
-
Michel P (2006) Optimal proliferation rate in a cell division model. Math Model Nat Phenom 1(2):23–44. ISSN 0973-5348
-
(2006)
Math Model Nat Phenom 1(2):23–44. ISSN
, pp. 0973-5348
-
-
Michel, P.1
-
26
-
-
84958791268
-
Transport equations in biology. In: Frontiers in mathematics. Birkhäuser Verlag, Basel
-
Perthame B (2007) Transport equations in biology. In: Frontiers in mathematics. Birkhäuser Verlag, Basel. ISBN 978-3-7643-7841-7; 3-7643-7841-7
-
(2007)
ISBN 978-3-7643-7841-7; 3-7643-7841-7
-
-
Perthame, B.1
-
27
-
-
0020321767
-
Novel proteinaceous infectious particles cause scrapie
-
Prusiner SB (1982) Novel proteinaceous infectious particles cause scrapie. Science 216(4542):136–144
-
(1982)
Science
, vol.216
, Issue.4542
, pp. 136-144
-
-
Prusiner, S.B.1
-
28
-
-
33644529127
-
Analysis of a model for the dynamics of prions. Discret Contin Dyn Syst Ser B 6(1): 225–235
-
Prüss J, Webb LGF, Zacher R (2006) Analysis of a model for the dynamics of prions. Discret Contin Dyn Syst Ser B 6(1): 225–235. ISSN 1531-3492
-
(2006)
ISSN
, pp. 1531-3492
-
-
Prüss, J.1
Webb, L.G.F.2
Zacher, R.3
-
29
-
-
22844434827
-
Cyclic amplification of protein misfolding and aggregation
-
Saá P, Castilla J, Soto C (2005) Cyclic amplification of protein misfolding and aggregation. Methods Mol Biol 299:53–65
-
(2005)
Methods Mol Biol
, vol.299
, pp. 53-65
-
-
Saá, P.1
Castilla, J.2
Soto, C.3
-
30
-
-
0035859102
-
Sensitive detection of pathological prion protein by cyclic amplification of protein misfolding
-
Saborio GP, Permanne B, Soto C (2001) Sensitive detection of pathological prion protein by cyclic amplification of protein misfolding. Nature 411:810–813
-
(2001)
Nature
, vol.411
, pp. 810-813
-
-
Saborio, G.P.1
Permanne, B.2
Soto, C.3
-
32
-
-
33748901876
-
On the solvability of a mathematical model for prion proliferation
-
Simonett G, Walker C (2006) On the solvability of a mathematical model for prion proliferation. J Math Anal Appl 324(1):580–603. ISSN 0022-247X doi:10.1016/j.jmaa.2005.12.036
-
(2006)
J Math Anal Appl 324(1):580–603. ISSN
, pp. 0022-247X
-
-
Simonett, G.1
Walker, C.2
-
33
-
-
84958791270
-
-
Świerniak A, Ledzewicz U, Schättler H (2003) Optimal control for a class of compartmental models in cancer chemotherapy. Int J Appl Math Comput Sci 13(3):357–368.1641-876X (Cancer growth and progression, mathematical problems and computer simulations (Bedlewo, 2002))
-
Świerniak A, Ledzewicz U, Schättler H (2003) Optimal control for a class of compartmental models in cancer chemotherapy. Int J Appl Math Comput Sci 13(3):357–368. ISSN 1641-876X (Cancer growth and progression, mathematical problems and computer simulations (Bedlewo, 2002))
-
-
-
-
34
-
-
84958791271
-
-
Tao T (2008) When are eigenvalues stable?
-
Tao T (2008) When are eigenvalues stable? http://terrytao.wordpress.com/2008/10/28/
-
-
-
-
35
-
-
84958791272
-
Turnpike in finite-dimensional nonlinear optimal control
-
Trélat E, Zuazua E (2014) Turnpike in finite-dimensional nonlinear optimal control. Preprint
-
(2014)
Preprint
-
-
Trélat, E.1
Zuazua, E.2
-
36
-
-
84958791273
-
-
Walker C (2007) Prion proliferation with unbounded polymerization rates. In Proceedings of the sixth Mississippi State-UBA conference on differential equations and computational simulations. Electronic Journal of Differential Equations: Conference, vol 15 , pp 387–397, San Marcos, TX, Southwest Texas State Univ
-
Walker C (2007) Prion proliferation with unbounded polymerization rates. In Proceedings of the sixth Mississippi State-UBA conference on differential equations and computational simulations. Electronic Journal of Differential Equations: Conference, vol 15, pp 387–397, San Marcos, TX, Southwest Texas State Univ
-
-
-
-
37
-
-
84958791274
-
Turnpike properties in the calculus of variations and optimal control. Nonconvex optimization and its applications, vol 80. Springer, New York
-
Zaslavski AJ (2006) Turnpike properties in the calculus of variations and optimal control. Nonconvex optimization and its applications, vol 80. Springer, New York. ISBN 978-0-387-28155-1; 0-387-28155-X
-
(2006)
ISBN 978-0-387-28155-1; 0-387-28155-X
-
-
Zaslavski, A.J.1
|