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By virtue of a functional scaling, the free energy for cytoskeletal microtubule (MT) solution system in the gravitational field has been proposed theoretically, and on this basis the influence of gravitational field on MT’s self-organization process is studied. A concentration gradient coupled with orientational order characteristic of nematic ordering pattern formation is the new feature emerging in the presence of gravity. Theoretical calculation results show that gravity facilitates the isotropic to nematic phase transition, which is reflected in a significantly broader transition region and the phase coexistence region increases with increasing g or MT concentration. We also discuss the numerical results obtained due to local MT concentration changing with the height of the vessel and some phase transition properties.
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Keywords:
- cytoskeletal microtubule /
- gravitational field /
- concentration gradient /
- nematic ordering
[1] de Pablo P J, Schaap I A T, MacKintosh F C, Schmidt C F 2003 Phys. Rev. Lett. 91 098101
[2] Vandana Y, Sutapa M 2011 Phys. Rev. E 84 062902
[3] Chen Y, Qiu X J 2003 Acta Phys. Sin. 52 1554 (in Chinese)[陈莹, 邱锡钧2003 52 1554]
[4] Chen Y, Qiu X J 2005 Chin. Phys. 14 427
[5] Kis A, Kasas S, Babic B, Kulik A J, Benoît W, Briggs G A D, Schönenberger C, Catsicas S, Forró L 2002 Phys. Rev. Lett. 89 248101
[6] Ji X Y, Feng X Q 2011 Phys. Rev. E 84 031933
[7] Bela M. M 2012 Phys. Rev. E 86 011902
[8] Portet S, Tuszyński J A, Dixon J M, Sataric M V 2003 Phys. Rev. E 68 021903
[9] Tabony J, Job D 1992 Proc. Natl. Acad. Sci. U. S. A 89 6948
[10] Papaseit C, Pochon N, Tabony J 2000 Proc. Natl. Acad. Sci. U. S. A 97 8364
[11] Spacelab I Reports 1984 Science 225 205
[12] Zisckind N, Elinson R P 1990 Growth Differ 32 575
[13] Beetschen J C, Gautier J 1987 Development 100 599
[14] Malacinski G M, Neff A W 1989 Adv. Space. Res. 9 169
[15] Elinson R P, Rowning B 1988 Dev. Biol. 128 185
[16] de Gennes P 1982 Polymer Liquid Crystals (New York: Academic Press) p117
[17] Parsons J D 1979 Phys. Rev. A 19 1225
[18] Baulin V A, Khokhlov A R 1999 Phys. Rev. E 60 2973
[19] Björn Z, Jan K 2013 Phys. Rev. E 87 012703
[20] Congping L, Peter A, Gero S 2013 Phys. Rev. E 87 052709
[21] Sin-Doo Lee 1987 J. Chem. Phys 87 4972
[22] Margolis R L, Wilson L 1978 Cell 3 1
[23] Shi X Q, Ma Y Q 2010 PNAS 107 11709
[24] Driss-Ecole D, Lefranc A, Perbal G 2003 Physiologia Plantarum 118 305
[25] Himmelspach R, Wymer C L, Lioyd C W, Nick P 1999 The Plant Journal 18 449
[26] Fischer K, Schopfer P 1998 The Plant Journal 15 119
[27] Stracke R, Böhm K J, Wollweber L, Tuszyński J A, Unger E 2002 Biochemistry and Biophysics Research Communications 293 602
[28] Bras W, Diakun G P, Diaz J F, Maret G, Kramer H, Bordas J, Medrano F J 1998 Biophysical Journal 74 1509
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[1] de Pablo P J, Schaap I A T, MacKintosh F C, Schmidt C F 2003 Phys. Rev. Lett. 91 098101
[2] Vandana Y, Sutapa M 2011 Phys. Rev. E 84 062902
[3] Chen Y, Qiu X J 2003 Acta Phys. Sin. 52 1554 (in Chinese)[陈莹, 邱锡钧2003 52 1554]
[4] Chen Y, Qiu X J 2005 Chin. Phys. 14 427
[5] Kis A, Kasas S, Babic B, Kulik A J, Benoît W, Briggs G A D, Schönenberger C, Catsicas S, Forró L 2002 Phys. Rev. Lett. 89 248101
[6] Ji X Y, Feng X Q 2011 Phys. Rev. E 84 031933
[7] Bela M. M 2012 Phys. Rev. E 86 011902
[8] Portet S, Tuszyński J A, Dixon J M, Sataric M V 2003 Phys. Rev. E 68 021903
[9] Tabony J, Job D 1992 Proc. Natl. Acad. Sci. U. S. A 89 6948
[10] Papaseit C, Pochon N, Tabony J 2000 Proc. Natl. Acad. Sci. U. S. A 97 8364
[11] Spacelab I Reports 1984 Science 225 205
[12] Zisckind N, Elinson R P 1990 Growth Differ 32 575
[13] Beetschen J C, Gautier J 1987 Development 100 599
[14] Malacinski G M, Neff A W 1989 Adv. Space. Res. 9 169
[15] Elinson R P, Rowning B 1988 Dev. Biol. 128 185
[16] de Gennes P 1982 Polymer Liquid Crystals (New York: Academic Press) p117
[17] Parsons J D 1979 Phys. Rev. A 19 1225
[18] Baulin V A, Khokhlov A R 1999 Phys. Rev. E 60 2973
[19] Björn Z, Jan K 2013 Phys. Rev. E 87 012703
[20] Congping L, Peter A, Gero S 2013 Phys. Rev. E 87 052709
[21] Sin-Doo Lee 1987 J. Chem. Phys 87 4972
[22] Margolis R L, Wilson L 1978 Cell 3 1
[23] Shi X Q, Ma Y Q 2010 PNAS 107 11709
[24] Driss-Ecole D, Lefranc A, Perbal G 2003 Physiologia Plantarum 118 305
[25] Himmelspach R, Wymer C L, Lioyd C W, Nick P 1999 The Plant Journal 18 449
[26] Fischer K, Schopfer P 1998 The Plant Journal 15 119
[27] Stracke R, Böhm K J, Wollweber L, Tuszyński J A, Unger E 2002 Biochemistry and Biophysics Research Communications 293 602
[28] Bras W, Diakun G P, Diaz J F, Maret G, Kramer H, Bordas J, Medrano F J 1998 Biophysical Journal 74 1509
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