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SOME MATHEMATICAL MODELS ARISING IN NANO- AND BIO-TECHNOLOGY

Part of: Dynamics of a rigid body and of multi-body systems Dynamics of a system of particles, including celestial mechanics Mathematical biology in general Elastic materials

Published online by Cambridge University Press:  10 June 2010

YUE CHAN
YUE CHAN*
Affiliation:
Nanomechanics Group, School of Mathematics and Applied Statistics, University of Wollongong, Wollongong, NSW 2522, Australia (email: unimelbat@hotmail.com, yc321@uow.edu.au)
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Abstract

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Keywords

nano-technologybio-technologyfullerenenanotubenano tippe top

MSC classification

Secondary: 70E18: Motion of a rigid body in contact with a solid surface 70E50: Stability problems 70E55: Dynamics of multibody systems 70E05: Motion of the gyroscope 74B20: Nonlinear elasticity 92B05: General biology and biomathematics
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 82 , Issue 1 , August 2010 , pp. 165 - 166
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

References

[1]Chan, Y., Cox, G. M., Haverkamp, R. G. and Hill, J. M., ‘Mechanical model for a collagen fibril pair in extracellular matrix’, Eur. Biophys. J. 38 (2009), 487–493.CrossRefGoogle ScholarPubMed
[2]Chan, Y., Haverkamp, R. G. and Hill, J. M., ‘Force-extension formula for the worm-like chain model from a variational principle’, J. Theoret. Biol. 262 (2010), 498–504.CrossRefGoogle ScholarPubMed
[3]Chan, Y., Thamwattana, N., Cox, G. M. and Hill, J. M., ‘Mechanics of nanoscale orbiting systems’, J. Math. Chem. 46 (2009), 1271–1291.CrossRefGoogle Scholar
[4]Chan, Y., Thamwattana, N. and Hill, J. M., ‘Spiral motion of carbon atoms and C 60 fullerenes inside single-walled carbon nanotubes’, Int. J. Theor. Appl. Multiscale Mechanics 1 (2009), 176–192.CrossRefGoogle Scholar
[5]Chan, Y., Thamwattana, N. and Hill, J. M., ‘Magnetic field driven nano tippe top’, J. Comput. Theor. Nanosci. 6 (2009), 1013–1020.CrossRefGoogle Scholar