Publications

Growth

2013

 

j91 A. Goriely and M. Tabor. Rotation, inversion, and perversion in anisotropic elastic cylindrical tubes and membranes. Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences. 2013. 469, 2153.

DOI: 10.1098/rspa.2013.0011

2012

 

j85 D. E. Moulton, A. Goriely, and R. Chirat. Mechanical growth and morphogenesis of seashells. Journal of Theoretical Biology. 311.

DOI: 10.1016/j.jtbi.2012.07.009

 

j78 M. Robertson-Tessi, A. El-Kareh, A. Goriely. A mathematical model of tumor-immune interactions. Journal of Theoretical Biology. 2012. 294.

DOI: 10.1016/j.jtbi.2011.10.027

 

j75 M. Epstein and A. Goriely. Self-diffusion in remodelling and growth. Zeitschrift für angewandte Mathematik und Physik. 2012. 63, 2.

DOI: 10.1007/s00033-011-0150-3

c20 A. Goriely and V. Klika. Current challenges in the mechanobiology of growth. Report on BIRS workshop. Mathematical Foundations in Mechanical Biology. 2012. Category: Growth Code: C20

2011

 

j73 A. Goriely and M. Tabor. Spontaneous rotational inversion in Phycomyces. Physics Review of Letters. 2011. 106, 13.

DOI: 10.1103/PhysRevLett.106.138103

 

j72 D. Moulton and A. Goriely. Possible role of differential growth in airway wall remodeling in asthma. Journal of Applied Physiology. 2011. 110, 4.

DOI: 10.1152/japplphysiol.00991.2010

 

j71 D. Moulton and A. Goriely. Circumferential buckling instability of a growing cylindrical tube. Journal of the Mechanics and Physics of Solids. 2011. 59, 3.

DOI: 10.1016/j.jmps.2011.01.005

 

j69 J. McMahon, A. Goriely, and M. Tabor. Nonlinear morphoelastic plates II: Exodus to buckled states. Mathematics and Mechanics of Solids. 2011. 16, 8.

DOI: 10.1177/1081286510387234

 

j68 J. McMahon, A. Goriely, and M. Tabor. Nonlinear morphoelastic plates I: Genesis of residual stress. Mathematics and Mechanics of Solids. 2011. 16, 8.

DOI: 10.1177/1081286510387233

 

j67 D. Ambrosi, G. A. Ateshian, E. M. Arruda, M. Ben Amar, S. C. Cowin, J. Dumais, A. Goriely, G. A. Holzapfel, J. Humphrey, R. Kemkemer, E. Kuhl, J. Ma, J. E. Olberding, L. A. Taber, R. Vandiver, and K. Garikipati. Perspectives on biological growth and remodelling. Journal of the Mechanics and Physics of Solids. 2011. 59, 4.

DOI: 10.1016/j.jmps.2010.12.011

 

j65 D. Moulton and A. Goriely. Anticavitation and differential growth in elastic shells. Journal of Elasticity. 2011. 102, 2.

DOI: 10.1007/s10659-010-9266-5

2010

 

j64 A. Goriely, D. Moulton, and R. Vandiver. Elastic cavitation, tube hollowing, and differential growth in plants and biological tissues. EPL. 2010. 91, 1.

DOI: 10.1209/0295-5075/91/18001

 

j63 A. Goriely and R. Vandiver. On the mechanical stability of growing arteries. IMA Journal of Applied Mathematics. 2010. 75, 4.

DOI: 10.1093/imamat/hxq021

2009

 

j61 A. Goriely and R. Vandiver. Differential growth and residual stress in cylindrical elastic structures. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2009. 367, 1902.

DOI: 10.1098/rsta.2009.0114

2010

 

c17 A. Goriely, M. Tabor, A. Tongen. A morpho-elastic model of hyphal tip growth in filamentous organisms: tangential stresses and normal growth. IN K. Garikipati and E.M. Arruda (Eds) Proceedings of the IUTAM Symposium on Cellular, Molecular and Tissue Mechanics. Springer Verlag. 2010.

DOI: 10.1007/978-90-481-3348-2_21

2009

 

c18 A. Goriely and D. Moulton. Morphoelasticity: A theory of elastic growth. IN 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. 2009. Oxford University Press.

DOI: 10.1093/acprof:oso/9780199605835.001.0001

2008

 

j57 R. Vandiver and A. Goriely. Tissue tension and axial growth of cylindrical structures in plants and elastic tissues. EPL. 2008. 84, 5.

DOI: 10.1209/0295-5075/84/58004

 

j56 R. Vandiver and A. Goriely. Morpho-elasto-dynamics: The long-time dynamics of elastic growth. International Journal of Biological Dynamics. December 2010. 3, 2-3.

DOI: 10.1080/17513750802304885

 

j53 M. Tabor and A. Goriely. Mathematical modeling of hyphal tip growth. Fungal Biology Reviews. 2008. 22, 2.

DOI: 10.1016/j.fbr.2008.05.001


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).