Publications

Growth

2018

 

j187 Alexander Erlich, Derek E. Moulton and Alain Goriely. Are homeostatic states stable? Dynamical stability in morphoelasticity. Bulletin of Mathematical Biology. 2018.

DOI: 10.1007/s11538-018-0502-7

j178 A. Erlich, R. Howell, A. Goriely, R. Chirat, D.E. Moulton. Mechanical feedback in seashell growth and form. The ANZIAM Journal. 2018. 59. 4. 581-606.

DOI: 10.1017/S14461811180000

2017

 

j175 A. Goriely. Five ways to model active processes in elastic solids: active forces, active stresses, active strains, active fibers, and active metrics. Mechanics Research Communications. 2017.

DOI: 10.1016/j.mechrescom.2017.09.003

j172 T.E. Woolley, E.A. Gaffney & A. Goriely. Random blebbing motion: A simple model linking cell structural properties to migration characteristics. Physical Review E. 2017. 96. 012409.

DOI: 10.1103/PhysRevE.96.012409

 

j171 L.A. Mihai, H. Wyatt & A. Goriely. A microstructure-based hyperelastic model for open-cell solids. SIAM Journal of Applied Mathematics. 2017. 77. 4, 1397–1416.

DOI: 10.1137/16M1098899

 

j170 L.A. Mihai, S. Budday, G. A. Holzapfel, E. Kuhl, A. Goriely. A family of hyperelastic models for human brain tissue. Journal of the Mechanics and Physics of Solids. 2017. 106. 60-79.

DOI: 10.1016/j.jmps.2017.05.015

 

j169 J. Weickenmeier, C. Fischer, D. Carter, E. Kuhl, & A. Goriely. Geometrical, and Physical Constraints in Skull Growth. Physical Review Letters. 2017. 118. 248101.

DOI: 10.1103/PhysRevLett.118.248101

 

j168 L.A. Mihai, H. Wyatt, A. Goriely. Microstructure-based hyperelastic models for closed-cell solids. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2017. 473. 2200.

DOI: 10.1098/rspa.2017.0036

j167 D. Moulton, A. Goriely & R. Chirat. Spirals, Spines, and Ridges: the Mathematical Story of Seashells Scientific American, April 2018.

 

j164 A.P. LaGrow, T. Besong, N. AlYami, K. Katsiev, D. Anjum, A. Elkader, P. Costa, V. Burlakov, A. Goriely and O. Bakr. Trapping Shape-Controlled Nanoparticle Nucleation and Growth Stages via Continuous-Flow Chemistry. Chemical Communications. 2017. 53. 2495-2498.

DOI: 10.1039/C6CC08369B

2016

 

j159 A. Erlich, D. E. Moulton, A. Goriely and R. Chirat. Morphomechanics and developmental constraints in the evolution of ammonites shell form. Journal of Experimental Zoology Part B: Molecular and Developmental Evolution. 2016. 326. 7. 437-450.

DOI: 10.1002/jez.b.22716

j156 J. Weickenmeier, P. Saez, E. Kuhl and A. Goriely. Bulging brains. Journal of Elasticity. 2016.

DOI: 10.1007/s10659-016-9606-1

2017

j151 J.A. García-Grajales, A.J. Jerusalem, and A. Goriely. Continuum Mechanical Modeling of Axonal Growth. Computer Methods in Applied Mechanics and Engineering. 2017. 314. 147-163.

DOI: doi.org/10.1016/j.cma.2016.07.032

2016

 

j145 H. Hofhuis, D. Moulton, T. Lessinnes, A. Routier-Kierzkowska, R.J. Bomphrey, G. Mosca, H. Reinhardt, P. Sarchet, X. Gan, M. Tsiantis, Y. Ventikos, S. Walker, A. Goriely, R. Smith, A. Hay. Morphomechanical innovation drives explosive seed dispersal. Cell. 2016.

DOI: 10.1016/j.cell.2016.05.002

 

j144 S. Sadik, A. Angoshtari, A. Goriely, A. Yavar. A Geometric Theory of Nonlinear Morphoelastic Shells. Journal of Nonlinear Science. 2016.

DOI: 10.1007/s00332-016-9294-9

 

j142 P. Recho, A. Jerusalem and A. Goriely. Growth, collapse, and stalling in a mechanical model for neurite motility. Physical Review E. April 2016. 93, 4.

DOI: 10.1103/PhysRevE.93.049901

2015

 

j132 T. Woolley, E. Gaffney, A. Goriely. Membrane shrinkage and cortex remodelling is predicted to work in harmony to retract blebs. Royal Society Open Science. 2015. 2, 7.

DOI: 10.1098/rsos.150184

 

j131 M. Robertson-Tessi, A. El-Kareh, A. Goriely. A model for effects of adaptive immunity on tumor response to chemotherapy and chemoimmunotherapy. Journal of Theoretical Biology. 2015. 380.

DOI: 10.1016/j.jtbi.2015.06.009

 

j127 T. Woolley, E. Gaffney, J. M. Oliver, S. L. Waters, R. E. Baker and A. Goriely. Global contraction or local growth, bleb shape depends on more than just cell structure. Journal of Theoretical Biology. 2015. 380.

DOI: 10.1016/j.jtbi.2015.04.023

 

j124 A.Goriely, M. Geers, G. Holzapfel, J. Jayamohan, A. Jerusalem, S. Sivaloganathan, W. Squier, M. van Dommelen, S. Waters, E. Kuhl. Mechanics of the Brain: Perspectives, Challenges, and Opportunities. Biomechanics and Modelling in Mechanobiology. 2015. 14, 5.

DOI: 10.1007/s10237-015-0662-4

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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!

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

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.