Publications

Growth

2008

 

j52 J. McMahon, A. Goriely, and M. Tabor. Spontaneous cavitation in growing elastic membranes. Mathematics and Mechanics of Solids. 2008. 15, 1.

DOI: 10.1177/1081286508092010

c15 A. Goriely, M. Robertson-Tessi, M. Tabor, R. Vandiver. Elastic growth models. IN P.R. Mondaini, P. Pardalos (Eds). Mathematical Modelling of Biosystems. Applied Optimization Vol 102. Springer-Verlag. 2008.

DOI: 10.1007/978-3-540-76784-8_1

2007

 

j48 A. Goriely and M. Ben Amar. On the definition and modeling of incremental, cumulative, and continuous growth laws in morphoelasticity. Biomechanics and Modeling in Mechanobiology. 2007. 6.

DOI: 10.1007/s10237-006-0065-7

 

j47 Hausrath and A. Goriely. Continuous Representations of Proteins: Construction of Coordinate Models from Curvature Profiles. The Journal of Structural Biology. 2007. 158, 3.

DOI: 10.1016/j.jsb.2006.11.003.

2006

 

j45 A. Goriely and S. Neukirch. Mechanics of Climbing and Attachment in Twining Plants. Physical Review Letters. 2006. 97.

DOI: 10.1103/PhysRevLett.97.184302

 

j42 A. Goriely and M. Tabor. Estimates of biomechanical forces in Magnaporthe grisea. Mycological Research. 2006. 110, 7.

DOI: 10.1016/j.mycres.2006.03.014

 

j38 R. Goldstein and A. Goriely. Dynamic buckling of morphoelastic filaments. Physical Review E. 2006. 74.

DOI: 10.1103/PhysRevE.74.010901

 

j36 A. Tongen, A. Goriely, and M. Tabor. Biomechanical model for appressorial design in Magnaporthe grisea. Journal of Theoretical Biology. 2006. 240, 1.

DOI: 10.1016/j.jtbi.2005.08.014

 

c14 S. Neukirch and A. Goriely. Twining Plants : How Thick Should their Supports Be? IN Proceedings of the 5th Plant Biomechanics Conference, Stockholm. 2006.

2005

 

j35 A. Goriely and M. Ben Amar. Differential Growth and Instability in Elastic Shells. Physics Review Letters. 2005. 94, 19.

DOI: 10.1103/PhysRevLett.94.198103

 

j34 M. Ben Amar and A. Goriely. Growth and Instability in Elastic Tissues. Journal of the Mechanics and Physics of Solids. 2005. 53, 10.

DOI: 10.1016/j.jmps.2005.04.008

 

j33 Goriely, G. Károlyi, and M. Tabor. Growth Induced Curve Dynamics for Filamentary Micro-Organisms. Journal of Mathematical Biology. 2005. 51, 3.

DOI: 10.1007/s00285-005-0328-4

c13 A. Goriely. Elastic growth and instability in soft tissues. IN Oberwolfach Reports: Mathematical methods and models of continuum biomechanics. EMS Publishing House. 2005.

c12 A.Goriely and M.B. Amar. Morpho-Elasticité. IN R. Ribotta (Ed.) Rencontres de Physique non linéaire. 2005.

 

c11 A. Goriely. Knotted umbilical cords. IN J. A. Calvo, A. Stasiak (Eds.) Physical and Numerical Models in Knot Theory Including Applications to the Life Sciences. World Scientific. 2005.

DOI: 10.1142/9789812703460_0006

2004

 

j31 A. Goriely and M. Tabor. Self-similar tip growth in filamentary organisms. Physical Review Letters. 2004. 90, 10.

DOI: 10.1103/PhysRevLett.90.108101

2003

 

j30 A. Goriely and M. Tabor. Biomechanical models of hyphal growth in actinomycetes. Journal of Theoretical Biology. 2003. 222, 2.

DOI: 10.1016/S0022-5193(03)00029-8

2002

 

j27 T. McMillen and A. Goriely. 2002. Tendril perversion in intrinsically curved rods. J. Nonlinear Science. 2002. 12. 3.

DOI: 10.1007/s00332-002-0493-1


Books

Applied Mathematics: A Very Short Introduction, Oxford University Press (February 2018, 120 pages).
Find it on Amazon.
Read it together with the Youtube Playlist.
Enjoy!</p>

A.Goriely. Morphoelasticity: The Mathematics and Mechanics of Biological Growth. Springer-Verlag Interdisciplinary and Applied Mathematics. 2017 (651 Pages). Find it on Amazon.

Goriely, P. Hosoi, H. Dankowicz. Non-linear mechanics of biological structures. Special Issue of the International Journal of Nonlinear Mechanics. 2011. 46, 4.

M. Ben Amar, A. Goriely, M. Mueller (Eds.) New Trends in the Physics and Mechanics of Biological Systems: Lecture Notes of the Les Houches Summer School. Volume 92. Oxford University Press. 2011
Find it on Amazon.

A. Goriely. Integrability and Nonintegrability of Dynamical Systems. World Scientific. 2001 (436 pages).
Out of print, but you can grab one on Amazon for £375 (a bargain).