Analytical solution of equations describing slow axonal transport based on the stop-and-go hypothesis

Central European Journal of Physics

Volumn 9, Issue 3, 2011, Pages 662-673

  Kuznetsov, Andrey V ^a  

^a North Carolina State University   (United States)

Author keywords

analytical solution; axons; molecular motors; neurons; slow axonal transport; stop and go hypothesis

Indexed keywords

EID: 79952102960     PISSN: 18951082     EISSN: 16443608     Source Type: Journal    
DOI: 10.2478/s11534-010-0066-0     Document Type: Article

References (30)

1. J. E. Duncan, L. S. B. Goldstein, Plos Genet. 2, 1275 (2006).
2. R. V. Barkus et al., Mol. Biol. Cell 19, 274 (2008).
3. L. S. B. Goldstein, Z. H. Yang, Annu. Rev. Neurosci. 23, 39 (2000).
4. J. V. Shah, D. W. Cleveland, Curr. Opin. Cell Biol. 14, 58 (2002).
5. S. Roy et al., J. Neurosci. 27, 3131 (2007).
6. S. Roy et al., J. Neurosci. 20, 6849 (2000).
7. L. Wang et al., Nat. Cell Biol. 2, 137 (2000).
8. C. H. Xia et al., J. Cell Biol. 161, 55 (2003).
9. A. Brown, L. Wang, P. Jung, Mol. Biol. Cell 16, 4243 (2005).
10. -G. Craciun, A. Brown, A. Friedman, J. Theor. Biol. 237, 316 (2005).
11. -N. Trivedi, P. Jung, A. Brown, J. Neurosci. 27, 507 (2007).
12. -X. W. Zhu, P. I. Moreira, M. A. Smith, G. Perry, Trends Mol. Med. 11, 391 (2005).
13. -A. V. Kuznetsov, A. A. Avramenko, Math. Biosci. 218, 142 (2009).
14. -J. Motil, M. Dubey, W. K.-H. Chan, T. B. Shea, Brain Res. 1164, 125 (2007).
15. -J. P. Julien, Cell 104, 581 (2001).
16. -S. Sasaki, H. Warita, K. Abe, M. Iwata, Acta Neuropathol. 110, 48 (2005).
17. B. P. Graham, K. Lauchlan, D. R. McLean, J. Comput. Neurosci. 20, 43 (2006).
18. -D. R. McLean, B. P. Graham, P. Roy. Soc. Lond. A Mat. 460, 2437 (2004).
19. -A. V. Kuznetsov, A. A. Avramenko, D. G. Blinov, Int. Commun. Heat Mass 36, 293 (2009).
20. -A. V. Kuznetsov, A. A. Avramenko, D. G. Blinov, Int. Com mun. Heat Mass 36, 641 (2009).
21. -A. V. Kuznetsov, Int. Commun. Heat Mass 35, 881 (2008).
22. -A. V. Kuznetsov, A. A. Avramenko, P. Roy. Soc. A-Math. Phy. 464, 2867 (2008).
23. A. V. Kuznetsov, Cent. Eur. J. Phys., DOI: 10. 2478/s11534-010-0032-x.
24. -P. Jung, A. Brown, Phys. Biol. 6, 046002 (2009).
25. -K. E. Miller, S. R. Heidemann, Exp. Cell Res. 314, 1981 (2008).
26. -M. V. Rao et al., J. Cell Biol. 159, 279 (2002).
27. -A. Friedman, B. Hu, Arch. Ration. Mech. An. 186, 251 (2007).
28. -G. T. Shubeita et al., Cell 135, 1098 (2008).
29. -J. A. Galbraith, T. S. Reese, M. L. Schlief, P. E. Gallant, P. Natl. Acad. Sci. USA 96, 11589 (1999).
30. -D. A. Smith, R. M. Simmons, Biophys. J. 80, 45 (2001).