645 citations · 2.1k across the 59 of their papers we have counts for
5 papers · 1 filter
A computational study of the mechanisms of growth-driven folding patterns on shells, with application to the developing brain
S. N. Verner, K. Garikipati
We consider the mechanisms by which folds, or sulci (troughs) and gyri (crests), develop in the brain. This feature, common to many gyrencephalic species including humans, has attr…
Elastic free energy drives the shape of prevascular solid tumors
Kristen L. Mills, Ralf Kemkemer, Shiva Rudraraju +1
It is well established that the mechanical environment influences cell functions in health and disease. Here, we address how the mechanical environment influences tumor growth, in…
Elastica-based strain energy functions for soft biological tissue
K. Garikipati, S. Göktepe, C. Miehe
Continuum strain energy functions are developed for soft biological tissues that possess long fibrillar components. The treatment is based on the model of an elastica, which is our…
The micromechanics of fluid-solid interactions during growth in porous soft biological tissue
H. Narayanan, E. M. Arruda, K. Grosh +1
In this paper we address some modelling issues related to biological growth. Our treatment is based on a recently-proposed, general formulation for growth within the context of Mix…
Biological remodelling: Stationary energy, configurational change, internal variables and dissipation
K. Garikipati, J. E. Olberding, E. M. Arruda +3
Remodelling is defined as an evolution of microstructure or variations in the configuration of the underlying manifold. The manner in which a biological tissue and its subsystems r…