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Volumn 4, Issue 1, 2014, Pages 1-26

Adaptation and Fatigue Model for Neuron Networks and Large Time Asymptotics in a Nonlinear Fragmentation Equation

Author keywords

Desynchronization; Fragmentation equation; Large time asymptotics; Neural networks

Indexed keywords

ARTICLE; FATIGUE; NERVE CELL; NERVE CELL NETWORK; NONLINEAR SYSTEM; PRIORITY JOURNAL; STEADY STATE;

EID: 84944278383     PISSN: None     EISSN: 21908567     Source Type: Journal    
DOI: 10.1186/2190-8567-4-14     Document Type: Article
Times cited : (47)

References (20)
  • 2
    • 82655164908 scopus 로고    scopus 로고
    • Branching Feller diffusion for cell division with parasite infection
    • Bansaye V, Tran VC: Branching Feller diffusion for cell division with parasite infection. ALEA Lat Am J Probab Math Stat 2011, 8: 95–127.
    • (2011) ALEA Lat Am J Probab Math Stat , vol.8 , pp. 95-127
    • Bansaye, V.1    Tran, V.C.2
  • 4
    • 84890440109 scopus 로고    scopus 로고
    • Rate of convergence to self-similarity for the fragmentation equation in (Formula presented.)
    • Cáceres MJ, Cañizo JA, Mischler S:Rate of convergence to self-similarity for the fragmentation equation in L1 spaces. Commun Appl Ind Math 2011, 1(2):299–308.
    • (2011) Commun Appl Ind Math , vol.1 , Issue.2 , pp. 299-308
    • Cáceres, M.J.1    Cañizo, J.A.2    Mischler, S.3
  • 5
    • 80052611963 scopus 로고    scopus 로고
    • Rate of convergence to an asymptotic profile for the self-similar fragmentation and growth-fragmentation equations
    • Cáceres MJ, Cañizo JA, Mischler S: Rate of convergence to an asymptotic profile for the self-similar fragmentation and growth-fragmentation equations. J Math Pures Appl 2011, 96(4):334–362. 10.1016/j.matpur.2011.01.003
    • (2011) J Math Pures Appl , vol.96 , Issue.4 , pp. 334-362
    • Cáceres, M.J.1    Cañizo, J.A.2    Mischler, S.3
  • 8
    • 77953191728 scopus 로고    scopus 로고
    • Eigenelements of a general aggregation-fragmentation model
    • Doumic Jauffret M, Gabriel P: Eigenelements of a general aggregation-fragmentation model. Math Models Methods Appl Sci 2010, 20(5):757–783. 10.1142/S021820251000443X
    • (2010) Math Models Methods Appl Sci , vol.20 , Issue.5 , pp. 757-783
    • Doumic Jauffret, M.1    Gabriel, P.2
  • 9
    • 33748890124 scopus 로고    scopus 로고
    • Analysis of a model for the dynamics of prions II
    • Engler H, Pruss J, Webb GF: Analysis of a model for the dynamics of prions II. J Math Anal Appl 2006, 324: 98–117. 10.1016/j.jmaa.2005.11.021
    • (2006) J Math Anal Appl , vol.324 , pp. 98-117
    • Engler, H.1    Pruss, J.2    Webb, G.F.3
  • 10
    • 33845863686 scopus 로고    scopus 로고
    • Stability and regularity results for a size-structured population model
    • Farkas JZ, Hagen T: Stability and regularity results for a size-structured population model. J Math Anal Appl 2007, 328(1):119–136. 10.1016/j.jmaa.2006.05.032
    • (2007) J Math Anal Appl , vol.328 , Issue.1 , pp. 119-136
    • Farkas, J.Z.1    Hagen, T.2
  • 11
    • 84957546971 scopus 로고    scopus 로고
    • arXiv: Gabriel P: Long-time asymptotics for nonlinear growth-fragmentation equations. arXiv:1102.2871; 2011
    • arXiv: http://arxiv.org/abs/1102.2871 Gabriel P: Long-time asymptotics for nonlinear growth-fragmentation equations. arXiv:1102.2871; 2011.
  • 12
    • 70350447393 scopus 로고    scopus 로고
    • Exponential decay for the growth-fragmentation/cell-division equations
    • Laurençot P, Perthame B: Exponential decay for the growth-fragmentation/cell-division equations. Commun Math Sci 2009, 7(2):503–510. 10.4310/CMS.2009.v7.n2.a12
    • (2009) Commun Math Sci , vol.7 , Issue.2 , pp. 503-510
    • Laurençot, P.1    Perthame, B.2
  • 13
    • 34247593078 scopus 로고    scopus 로고
    • Well-posedness for a model of prion proliferation dynamics
    • Laurençot P, Walker C: Well-posedness for a model of prion proliferation dynamics. J Evol Equ 2007, 7: 241–264. 10.1007/s00028-006-0279-2
    • (2007) J Evol Equ , vol.7 , pp. 241-264
    • Laurençot, P.1    Walker, C.2
  • 14
    • 33750058285 scopus 로고    scopus 로고
    • Existence of a solution to the cell division eigenproblem
    • Michel P: Existence of a solution to the cell division eigenproblem. Math Models Methods Appl Sci 2006, 16(7):1125–1153.
    • (2006) Math Models Methods Appl Sci , vol.16 , Issue.7 , pp. 1125-1153
    • Michel, P.1
  • 15
    • 24044522878 scopus 로고    scopus 로고
    • General relative entropy inequality: an illustration on growth models
    • Michel P, Mischler S, Perthame B: General relative entropy inequality: an illustration on growth models. J Math Pures Appl 2005, 84(9):1235–1260. 10.1016/j.matpur.2005.04.001
    • (2005) J Math Pures Appl , vol.84 , Issue.9 , pp. 1235-1260
    • Michel, P.1    Mischler, S.2    Perthame, B.3
  • 16
    • 76149134681 scopus 로고    scopus 로고
    • Dynamics of a structured neuron population
    • Pakdaman K, Perthame B, Salort D: Dynamics of a structured neuron population. Nonlinearity 2010, 23: 55–75. 10.1088/0951-7715/23/1/003
    • (2010) Nonlinearity , vol.23 , pp. 55-75
    • Pakdaman, K.1    Perthame, B.2    Salort, D.3
  • 17
    • 84884136684 scopus 로고    scopus 로고
    • Relaxation and self-sustained oscillations in the time elapsed neuron network model
    • Pakdaman K, Perthame B, Salort D: Relaxation and self-sustained oscillations in the time elapsed neuron network model. SIAM J Appl Math 2013, 73(3):1260–1279. 10.1137/110847962
    • (2013) SIAM J Appl Math , vol.73 , Issue.3 , pp. 1260-1279
    • Pakdaman, K.1    Perthame, B.2    Salort, D.3
  • 19
    • 12344315077 scopus 로고    scopus 로고
    • Exponential decay for the fragmentation or cell-division equation
    • Perthame B, Ryzhik L: Exponential decay for the fragmentation or cell-division equation. J Differ Equ 2005, 210: 155–177. 10.1016/j.jde.2004.10.018
    • (2005) J Differ Equ , vol.210 , pp. 155-177
    • Perthame, B.1    Ryzhik, L.2
  • 20
    • 33748901876 scopus 로고    scopus 로고
    • On the solvability of a mathematical model for prion proliferation
    • Simonett G, Walker C: On the solvability of a mathematical model for prion proliferation. J Math Anal Appl 2006, 324(1):580–603. 10.1016/j.jmaa.2005.12.036
    • (2006) J Math Anal Appl , vol.324 , Issue.1 , pp. 580-603
    • Simonett, G.1    Walker, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.