Full-text resources of PSJD and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

PL EN


Preferences help
enabled [disable] Abstract
Number of results

Journal

2008 | 6 | 1 | 45-51

Article title

Analytical investigation of transient molecular-motor-assisted transport in elongated cells

Content

Title variants

Languages of publication

EN

Abstracts

EN
This paper investigates analytically the molecular-motor-assisted transport between the cell nucleus and cell membrane in an elongated cell, which allows the formulation of governing equations in a cylindrical coordinate system. This problem is relevant to biomimetic transport systems as well as to many biological processes occurring in living cells, such as the viral infection of a cell. The obtained analytical solution is shown to agree well with a high-accuracy numerical solution of the same problem. The developed analytical technique extends the applicability of the generalized Fourier series method to a new type of problems involving intracellular transport of organelles.

Publisher

Journal

Year

Volume

6

Issue

1

Pages

45-51

Physical description

Dates

published
1 - 3 - 2008
online
26 - 3 - 2008

Contributors

  • Department of Mechanical and Aerospace Engineering North Carolina State University Campus, Box 7910, Raleigh, NC, 27695-7910, USA
  • Institute of Engineering Thermophysics National Academy of Sciences, 03057, Kiev, Ukraine

References

  • [1] R. Lipowsky, Y. Chai, S. Klumpp, S. Liepelt, M.J.I. Muller, Physica A 372, 34 (2006) http://dx.doi.org/10.1016/j.physa.2006.05.019[Crossref]
  • [2] G. Lattanzi, A. Maritan, Phys. Rev. Lett. 86, 1134 (2001) http://dx.doi.org/10.1103/PhysRevLett.86.1134[Crossref]
  • [3] R. Mallik, S.P. Gross, Curr. Biol. 14, R971 (2004) http://dx.doi.org/10.1016/j.cub.2004.10.046[Crossref]
  • [4] R. Lipowsky, S. Klumpp, Physica A 352, 53 (2005) http://dx.doi.org/10.1016/j.physa.2004.12.034[Crossref]
  • [5] M. Martin, et al., Mol. Biol. Cell 10, 3717 (1999) [Crossref]
  • [6] T.B. Shea, W.J. Beaty, Traffic 8, 445 (2007) http://dx.doi.org/10.1111/j.1600-0854.2007.00535.x[Crossref]
  • [7] D.D. Hurd, W.M. Saxton, Genetics 144, 1075 (1996) [PubMed]
  • [8] S. Klumpp, T.M. Nieuwenhuizen, R. Lipowsky, Biophys. J. 88, 3118 (2005) http://dx.doi.org/10.1529/biophysj.104.056127[Crossref]
  • [9] D. Chowdhury, Physica A 372, 84 (2006) http://dx.doi.org/10.1016/j.physa.2006.05.005[Crossref]
  • [10] A. Brown, L. Wang, P. Jung, Mol. Biol. Cell 16, 4243 (2005) http://dx.doi.org/10.1091/mbc.E05-02-0141[Crossref]
  • [11] A. Craciun, A. Brown, A. Friedman, J. Theor. Biol. 237, 316 (2005) http://dx.doi.org/10.1016/j.jtbi.2005.04.018[Crossref]
  • [12] P.L. Leopold, K.K. Pfister, Traffic 7, 516 (2006) http://dx.doi.org/10.1111/j.1600-0854.2006.00408.x[Crossref]
  • [13] H. Mabit, et al., J. Virol. 76, 9962 (2002) http://dx.doi.org/10.1128/JVI.76.19.9962-9971.2002[Crossref]
  • [14] B. Alberts, et al., Molecular Biology of the Cell, 4th edition (Garland Science, New York, 2002)
  • [15] A.T. Dinh, T. Theofanous, S. Mitragotri, Biophys. J. 89, 1574 (2005) http://dx.doi.org/10.1529/biophysj.105.059477[Crossref]
  • [16] D.A. Smith, R.M. Simmons, Biophys. J. 80, 45 (2001) http://dx.doi.org/10.1016/S0006-3495(01)75994-2[Crossref]
  • [17] T.D. Pollard, W.C. Earnshaw, Cell Biology (Philadelphia, Saunders, 2002)
  • [18] A.V. Kuznetsov, A.A. Avramenko, Int. Comm. Heat Mass Transfer 34, 391 (2007) http://dx.doi.org/10.1016/j.icheatmasstransfer.2007.01.007[Crossref]
  • [19] G. Cain, G.H. Meyer, Separation of Variables for Partial Differential Equations. An Eigenfunction Approach (Taylor and Francis, Boca Raton, 2006)
  • [20] A.T. Dinh, C. Pangarkar, T. Theofanous, S. Mitragotri, Biophys. J. 90, L67 (2006) http://dx.doi.org/10.1529/biophysj.106.082875[Crossref]
  • [21] C. Pangarkar, A.T. Dinh, S. Mitragotri, Phys. Rev. Lett. 95, 158101 (2005) [PubMed]
  • [22] R. Ait-Haddou, W. Herzog, J. Electromyogr. Kinesi. 12, 435 (2002) http://dx.doi.org/10.1016/S1050-6411(02)00037-8[Crossref]
  • [23] J.O. Kessler, Contemp. Phys. 267, 147 (1985) http://dx.doi.org/10.1080/00107518508210745[Crossref]
  • [24] J.O. Kessler, Progress in Phycological Research (Bristol) 4, 257 (1986)
  • [25] H. Schlichting, Boundary-Layer Theory, 7th edition (McGraw-Hill, New York, 1979)

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-008-0009-1
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.