This book examines key theoretical tools that are currently used to develop mathematical models as an aid in understanding the biological response of cells and tissues to mechanical stimuli. Problems in growth and remodeling, tissue and organ development, and functional adaptation are all covered. Chapters on tensor analysis and nonlinear elasticity provide the necessary background for understanding the engineering theories that are currently used to solve challenges in mechanobiology. This is an ideal book for biomechanical engineers who work on problems in mechanobiology and tissue engineering.

Broadens readers' understanding of nonlinear elasticity, contractility, growth and remodeling theory, and mechanical feedback in development

Introduction.- Vectors and tensors.- Coordinate transformation.- Tensor invariants.- Special tensors.- Vector and tensor calculus.- Nonlinear Elasticity.- Kinematics.- Stress.- Balance principles.- Constitutive equations.- Boundary value problems.- Active Force Generation.- Muscle contraction.- Concept of changing zero-stress state.- Cardiac mechanics: time-varying elastance.- Stress fibers.- Cell division.- Growth.- Growth theory.- Growth of arteries.- Growth of the heart.- Growth of tumors.- Growth of plants.- Remodeling.- Remodeling theory.- Remodeling of arteries.- Aneurysms.- Cytoskeletal remodeling.- Bone remodeling (Wolff's law).- Morphogenesis.- Fundamental developmental processes.- Modeling morphogenesis.- Pattern formation.- Gastrulation.- Head fold formation.- Neurulation.- Brain development.- Primary vesicle formation.- Cortical folding.- Eye development.- Heart development.- Cardiac looping.- Gut development.- Wound healing.- Plant morphogenesis.- Mechanical feedback in development.