Wool keratin fibre possesses an optimal configuration with tree-like hierarchical structure and with fractional dimensions of 1·618, the golden mean. Such hierarchical structure, compared with traditional parallel channel net, reveals excellent heat transfer capability.
KrauseE., BandtC., SchulzA. and SchulzH.: ‘Fractal exponents for the upper airways of mammalian lungs’, Stat. Software Newslett., 1995, 20, 583–590.
2.
KiselevV. G., HahnK. R. and AuercD. P.: ‘Is the brain cortex a fractal?’, NeuroImage, 2003, 20, 1765-177
4.
3.
TawhaiaM. H. and BurrowesK. S.: ‘Modelling pulmonary blood flow’, Respir. Physiol. NeurobioL, 2008, 163, 150–157.
4.
AntonetsW. A., AntonetsM. A., and ShereshevskyI. A.: ‘The statistical cluster dynamics in the dendroid transfer systems’, in ‘Fractals in the fundamental and applied sciences’, (ed.PeitgenH. O..); 1991, Amsterdam, Elsevier, 59–71.
5.
WangX.-Q., MujumdarA. S. and YapC.: ‘Thermal characteristics of tree-shaped microchannel nets for cooling of a rectangular heat sink’, Int. J. Therm. Set, 2006, 45, 1103–1112.
6.
LiuS., ZhangY. and LiuP.: ‘Heat transfer and pressure drop in fractal microchannel heat sink for cooling of electronic chips’, Heat Mass Transfer, 2007, 44, 221–227.
7.
ChenY. and ChengP.: ‘Heat transfer and pressure drop in fractal tree-like microchannel nets’, Int. J. Heat Mass Transfer, 2002, 45, 2643–2648.
8.
WangL.-Q. and WeiX.-H.: ‘Heat conduction in nanofluids’, Chaos Solitons Fractals, 2009, 39, 2211-221
5.
9.
FanJ., LiuJ.-F. and HeJ.-H.: ‘Hierarchy of wool fibers and fractal dimensions’, Int. J. Nonlinear ScL Numer. SimuL, 2008,9, 293–296.
10.
HearleJ. W. S.: ‘A critical review of the structural mechanics of wool and hair fibres’, Int. J. Biol. MacromoL, 2000, 27, 123–138.
11.
McKinnonA. J.: ‘The self-assembly of keratin intermediate filaments into macrofibrils: is this process mediated by a mesophase?’, Curr. Appl. Phys., 2006, 6, 375–378.
12.
FraserR. and ParryD.: ‘Macrofibril assembly in trichocyte (hard a-) keratins’, J. Struct. Biol., 2003, 142, 319–325.
13.
FeughelmanM.: ‘Mechanical properties and structure of α-keratin fibres’: 1997, Sydney, NSW, UNSW Press.
14.
DobbM. G.: ‘The structure of keratin protofibrils’, J. Ultrastruct. Res., 1966, 14, 294–299.
15.
JohnsonD. J. and SikorskiJ.: ‘Molecular and fine structure of alpha-keratin’, Nature, 1962, 194, 31–34.
16.
BradburyJ. H. and LeederJ. D.: ‘The cell membrane complex of wool’, AppL Polym. Symp., 1971, 18, 227–236.
17.
BranburyJ. H., LeyK. F. and PetersD. E.: ‘Separation of orthocortical and paracortical cells from wool’, Text. Res. I, 1971, 43, 87–88.
18.
LaxerG. and RossD. A.: ‘The bilateral asymmetric deposition of gold in wool fibers’, Text. Res. J., 1954, 24, 672–674.
19.
HeJ.-H., RenZ.-F., FanJ. and XuL.: ‘Hierarchy of wool fibers and its interpretation using E-infinity theory’, Chaos Solitons Fractals, 2009, 41, 1839-184
1.
20.
GaoJ., PanN. and YuW. D.: ‘Golden mean and fractal dimension of goose down’, Int. J. Nonlinear ScL Numer. SimuL, 2007, 8, 113–116.
21.
GaoJ., PanN. and YuW. D.: ‘A fractal approach to goose down structure’, Int. J. Nonlinear Sci. Numer. Simul, 2006, 7, 113–116.
22.
BranburyJ. H., ChapmanG. V. and KingN. L. R.: ‘The chemical composition of wool. II. Analysis of the major histological components produced by ultrasonic disintegration’, Aust. J. Biol. Set, 1965, 18, 353–364.
23.
FeughelmanM.: ‘A note on the water-impenetrable component of a-keratin fibers’, Text. Res. I, 1989, 59, 739–742.
