This monograph presents a general mathematical theory for biological growth. It provides
both a conceptual and a technical foundation for the understanding and analysis of …

The kinematic aspects of biological growth models are reviewed by paying attention to the
handful of crucial ideas on which modern treatments rest. Both surface and volumetric …

Tissues change in many ways in the period that they are part of a living organism. They are
created in fairly repeatable structural patterns, and we know that the patterns are due to both …

During early morphogenesis embryonic cells differentiate into two morphological classes:
epithelia and mesenchyme. Epithelial cells tend to array themselves in sheets, while …

The present contribution is dedicated to the computational modeling of growth phenomena
typically encountered in modern biomechanical applications. We set the basis by critically …

In this paper a general mathematical framework is developed to describe cases of fixed and
moving growth surfaces. This formulation has the mathematical structure suggested by …

Growth (and resorption) of biological tissue is formulated in the continuum setting. The
treatment is macroscopic, rather than cellular or sub-cellular. Certain assumptions that are …

Although growth in its various manifestations has been studied for centuries and although
there are a large number of well-established growth “laws,” that work is almost entirely …

This review deals with biomechanical aspects of growth (mass change), remodeling
(property change), and morphogenesis (shape change) in living systems. The emphasis is …

The continuum mechanical treatment of biological growth and remodeling has attracted
considerable attention over the past fifteen years. Many aspects of these problems are now …