Continuum kinematical modeling of mass increasing biological growth

Constructing continuum kinematical models of mass increasing biological growth has been the objective of many studies in the last 100 years. The significant features of the successful studies are briefly described, critically reviewed and organized in the contemporary notation of continuum kinematics. While success has been achieved in many kinematic tissue modeling categories, an agreed upon kinematic model for the large deformations of soft tissue remains a challenge.