메뉴 건너뛰기




Volumn 56, Issue 5, 2007, Pages 2133-2158

Uniform convergence for approximate traveling waves in linear reaction-hyperbolic systems

Author keywords

Neurofilament; Reaction hyperbolic systems; Traveling waves

Indexed keywords


EID: 34848822564     PISSN: 00222518     EISSN: None     Source Type: Journal    
DOI: 10.1512/iumj.2007.56.3044     Document Type: Article
Times cited : (26)

References (11)
  • 1
    • 38249027104 scopus 로고    scopus 로고
    • J.J. BLUM and M.C. REED, The transport of organelles in axons, Math. Biosci. 90 (1988), 233-245. MR 958142 (90b:92012)
    • J.J. BLUM and M.C. REED, The transport of organelles in axons, Math. Biosci. 90 (1988), 233-245. MR 958142 (90b:92012)
  • 2
    • 0024501230 scopus 로고
    • A model for slow axonal transport and its application to neurofilamentous neuropathies
    • _, A model for slow axonal transport and its application to neurofilamentous neuropathies, Cell Motility Cytoskeleton 12 (1989), 53-65.
    • (1989) Cell Motility Cytoskeleton , vol.12 , pp. 53-65
  • 3
    • 0013142746 scopus 로고    scopus 로고
    • Translations of Mathematical Monographs, American Mathematical Society, Providence, RI, ISBN 0-8218-0970-9. MR 1616087 99i:35016
    • Y. CHEN and L. WU, Second order elliptic equations and elliptic systems, Translations of Mathematical Monographs, vol. 174, American Mathematical Society, Providence, RI, 1998, ISBN 0-8218-0970-9. MR 1616087 (99i:35016)
    • (1998) Second order elliptic equations and elliptic systems , vol.174
    • CHEN, Y.1    WU, L.2
  • 4
    • 26944440868 scopus 로고    scopus 로고
    • A dynamical system model of neurofilament transport in axons
    • MR 2205013
    • G. CRACIUN, A. BROWN, and A. FRIEDMAN, A dynamical system model of neurofilament transport in axons, J. Theoret. Biol. 237 (2005), 316-322. MR 2205013
    • (2005) J. Theoret. Biol , vol.237 , pp. 316-322
    • CRACIUN, G.1    BROWN, A.2    FRIEDMAN, A.3
  • 5
    • 84875111503 scopus 로고    scopus 로고
    • R. COURANT and D. HILBERT, Methods of mathematical physics. II: Partial differential equations, (II by R. Courant.), Interscience Publishers (a division of John Wiley & Sons), New York-London, 1962. MR 0140802 (25 #4216)
    • R. COURANT and D. HILBERT, Methods of mathematical physics. Vol. II: Partial differential equations, (Vol. II by R. Courant.), Interscience Publishers (a division of John Wiley & Sons), New York-London, 1962. MR 0140802 (25 #4216)
  • 6
    • 22844439969 scopus 로고    scopus 로고
    • A. FRIEDMAN and G. CRACIUN, A model of intracellular transport of particles in an axon, J. Math. Bio. 51 (2005), 217-246. MR 2213140 (06k: 92035)
    • A. FRIEDMAN and G. CRACIUN, A model of intracellular transport of particles in an axon, J. Math. Bio. 51 (2005), 217-246. MR 2213140 (06k: 92035)
  • 7
    • 34249061806 scopus 로고    scopus 로고
    • _, Approximate traveling waves in linear reaction-hyperbolic equations, SIAM J. Math. Anal 38 (2006), 741-758. MR 2262940 (07h: 35214)
    • _, Approximate traveling waves in linear reaction-hyperbolic equations, SIAM J. Math. Anal 38 (2006), 741-758. MR 2262940 (07h: 35214)
  • 8
    • 0003492651 scopus 로고    scopus 로고
    • World Scientific Publishing Co. Inc, River Edge, NJ, ISBN 981-02-2883-X. MR 1465184 98k:35003
    • G.M. LIEBERMAN, Second order parabolic differential equations, World Scientific Publishing Co. Inc., River Edge, NJ, 1996, ISBN 981-02-2883-X. MR 1465184 (98k:35003)
    • (1996) Second order parabolic differential equations
    • LIEBERMAN, G.M.1
  • 9
    • 0038585922 scopus 로고
    • Differential equations with a small parameter and the central limit theorem for functions defined on a finite Markov chain
    • MR 0228067 37 #3651
    • M. PINSKY, Differential equations with a small parameter and the central limit theorem for functions defined on a finite Markov chain, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 9 (1968), 101-111. MR 0228067 (37 #3651)
    • (1968) Z. Wahrscheinlichkeitstheorie und Verw. Gebiete , vol.9 , pp. 101-111
    • PINSKY, M.1
  • 10
    • 0022913160 scopus 로고
    • Theoretical analysis ofradioactivity profiles duringfast axonal transport: Effects of deposition and turn over
    • M.C. REED and J.J. BLUM, Theoretical analysis ofradioactivity profiles duringfast axonal transport: Effects of deposition and turn over, Cell Motility Cytoskeleton 6 (1986), 620-627.
    • (1986) Cell Motility Cytoskeleton , vol.6 , pp. 620-627
    • REED, M.C.1    BLUM, J.J.2
  • 11
    • 0025386871 scopus 로고    scopus 로고
    • M.C. REED, S. VENAKIDES, and J.J. BLUM, Approximate traveling waves in linear reaction-hyperbolic equations, SIAM J. Appl. Math. 50 (1990), 167-180. MR 1036237 (91c:92026)
    • M.C. REED, S. VENAKIDES, and J.J. BLUM, Approximate traveling waves in linear reaction-hyperbolic equations, SIAM J. Appl. Math. 50 (1990), 167-180. MR 1036237 (91c:92026)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.