Analytical description of growth
1982/02/01 by Richard Skalak, R. Skalak, Gautam Dasgupta +7 · 269 citations
Engineering · Mathematics · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Architecture and Computational Design #Biological system #Biology #Classification of discontinuities #Computer science #Mathematical analysis #Mathematics #Mechanics #Physics #Structural Analysis and Optimization #Topology (electrical circuits)
paper · doi:10.1016/0022-5193(82)90301-0
published in Journal of Theoretical Biology 94(3), 555-577 (Elsevier BV)
openalex publication_date 1982/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/26
Citations
Cited by
- Vascular Extracellular Matrix and Arterial Mechanics
- Towards an active matter theory of plant morphogenesis
- Regularity Properties of Solutions of a Model for Morphoelastic Growth in the Presence of Nutrients in One Spatial Dimension
- Kinetics of surface growth with coupled diffusion and the emergence of a universal growth path
- On the theory of reactive mixtures for modeling biological growth. [europepmc]
- Vascular extracellular matrix and arterial mechanics. [europepmc]
- Continuum modeling of biological tissue growth by cell division, and alteration of intracellular osmolytes and extracellular fixed charge density. [europepmc]
- Multigenerational interstitial growth of biological tissues. [europepmc]
- The role of mass balance equations in growth mechanics illustrated in surface and volume dissolutions. [europepmc]
- Perspectives on biological growth and remodeling. [europepmc]
- Modeling cardiac electromechanics and mechanoelectrical coupling in dyssynchronous and failing hearts: insight from adaptive computer models. [europepmc]
- Mechanics of Cell Growth. [europepmc]
- Interstitial growth and remodeling of biological tissues: tissue composition as state variables. [europepmc]
- Computational modeling of hypertensive growth in the human carotid artery. [europepmc]
- A mixture approach to investigate interstitial growth in engineering scaffolds. [europepmc]
- Tuning tissue growth with scaffold degradation in enzyme-sensitive hydrogels: a mathematical model. [europepmc]
- Effective equations governing an active poroelastic medium. [europepmc]
- 3-dimensional metrics of proximal femoral shape deformities in Legg-Calvé-Perthes disease and slipped capital femoral epiphysis. [europepmc]
- Elastic Fibers and Large Artery Mechanics in Animal Models of Development and Disease. [europepmc]
- Computational Modeling in Liver Surgery. [europepmc]
- Mathematical models of tumor cell proliferation: A review of the literature. [europepmc]
- Kinetics of surface growth with coupled diffusion and the emergence of a universal growth path. [europepmc]
- Physics of growing biological tissues: the complex cross-talk between cell activity, growth and resistance. [europepmc]
- Growth and remodelling of living tissues: perspectives, challenges and opportunities. [europepmc]
- Mechanobiological Stability of Biological Soft Tissues. [europepmc]
- A Coupled Mass Transport and Deformation Theory of Multi-constituent Tumor Growth. [europepmc]
- Investigation of Pathophysiological Aspects of Aortic Growth, Remodeling, and Failure Using a Discrete-Fiber Microstructural Model. [europepmc]
- A universal power law for modelling the growth and form of teeth, claws, horns, thorns, beaks, and shells. [europepmc]
- Mechano-regulated cell-cell signaling in the context of cardiovascular tissue engineering. [europepmc]