Research Topics
 Alain GorielySummaryAffiliation: University of Arizona Country: USA Publications
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Publications
 Selfsimilar tip growth in filamentary organismsAlain Goriely
Program in Applied Mathematics, University of Arizona, Tucson, Arizona 85721, USA
Phys Rev Lett 90:108101. 2003..Incorporation of geometry dependent elastic moduli and a selfsimilar ansatz shows how these equations can generate realistic tip shapes corresponding to a selfsimilar expansion process...  Biomechanical models of hyphal growth in actinomycetesAlain Goriely
Program in Applied Mathematics and Department of Mathematics, University of Arizona, Building 89, Tucson 85721, USA
J Theor Biol 222:2118. 2003..It also demonstrates a simple mechanism for hyphal swelling and beading that is observed in the presence of a lysing agent...  Growth induced curve dynamics for filamentary microorganismsAlain Goriely
Program in Applied Mathematics and Department of Mathematics, University of Arizona, AZ 85721, USA
J Math Biol 51:35566. 2005..Steadily propagating tip shapes in two and three dimensions are found that are consistent with experimentally observed growth sequences...  Differential growth and instability in elastic shellsAlain Goriely
Department of Mathematics, University of Arizona, Tucson, 85721, USA
Phys Rev Lett 94:198103. 2005..Depending on these parameters, different modes of instability can be obtained...  Polyhelices through n pointsAlain Goriely
Program in Applied Mathematics and Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA
Int J Bioinform Res Appl 5:11832. 2009..e., the initial position, the signed curvature, torsion, and length of each helical segment. Polyhelices can be parametrised by the arc length and easily expressed in terms of product of matrices...  On the definition and modeling of incremental, cumulative, and continuous growth laws in morphoelasticityAlain Goriely
Program in Applied Mathematics and Department of Mathematics, University of Arizona, Building 89, Tucson, AZ 85721, USA
Biomech Model Mechanobiol 6:28996. 2007..These ideas are discussed and further studied in the case of incompressible shells...  Estimates of biomechanical forces in Magnaporthe griseaAlain Goriely
Program in Applied Mathematics and Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA
Mycol Res 110:7559. 2006..Drawing on ideas from plasticity theory and ballistics, estimates of the penetration force raise interesting questions about experiments performed on the penetration of inert substrates by the fungus...  Dynamic buckling of morphoelastic filamentsRaymond E Goldstein
Department of Physics, University of Arizona, Tucson, Arizona 85721, USA
Phys Rev E Stat Nonlin Soft Matter Phys 74:010901. 2006..Slow ramps interrupted by removal of the external forces can leave in equilibrium any of a whole continuum of buckled shapes. Morphoelastic relaxation can also allow a filament to bypass a bifurcation...  Biomechanical model for appressorial design in Magnaporthe griseaAnthony Tongen
Program in Applied Mathematics and Department of Mathematics, University of Arizona, Tucson, AZ 85721, USA
J Theor Biol 240:18. 2006....  Differential growth and residual stress in cylindrical elastic structuresRebecca Vandiver
Program in Applied Mathematics, University of Arizona, Building no 89, Tucson, AZ 85721, USA
Philos Trans A Math Phys Eng Sci 367:360730. 2009..Here, the effect of differential growth and residual stress on the overall mechanical response of the cylindrical structure is studied within the framework of morphoelasticity...  Morphoelastodynamics: the longtime dynamics of elastic growthRebecca Vandiver
Program in Applied Mathematics, BIO5 Institute, University of Arizona, Tucson, AZ, USA
J Biol Dyn 3:18095. 2009..These evolution laws lead to new dynamical systems that can be studied by the classical methods of dynamical systems theory...  A model for effects of adaptive immunity on tumor response to chemotherapy and chemoimmunotherapyMark RobertsonTessi
Program in Applied Mathematics, University of Arizona, Tucson, AZ 85721, United States Integrated Mathematical Oncology, Moffitt Cancer Center, Tampa, FL 33612, United States Electronic address
J Theor Biol 380:56984. 2015..Overall, the model provides insight into the role of the adaptive immune system in chemotherapy, and how scheduling and immunotherapeutic interventions might improve efficacy. ..  Repeat protein architectures predicted by a continuum representation of fold spaceAndrew C Hausrath
Department of Biochemistry and Molecular Biophysics, University of Arizona, Tucson, 85721, USA
Protein Sci 15:75360. 2006..In a planar subspace of the parameter space of helical repeats we have identified points corresponding to both naturally occurring folds and potential folds not observed so far...  A mathematical model of tumorimmune interactionsMark RobertsonTessi
Program in Applied Mathematics, University of Arizona, Tucson, AZ 85721, United States
J Theor Biol 294:5673. 2012..This result may have implications for immunotherapies which modulate the effective antigenicity. Simulation of dendritic cell therapy with the model suggests that for some tumors, there is an optimal dose of transfused dendritic cells...  Chirality of coiled coils: elasticity mattersSebastien Neukirch
Institut Jean le Rond d Alembert, Centre National de la Recherche Scientifique and Université Pierre et Marie Curie, Paris, France
Phys Rev Lett 100:038105. 2008..The theoretical predictions are compared to xray data from the leucine zipper motif...