This book gives a comprehensive treatment of the Grassmannian varieties and their Schubert subvarieties, focusing on the geometric and representation-theoretic aspects of Grassmannian varieties. Research of Grassmannian varieties is centered at the crossroads of commutative algebra, algebraic geometry, representation theory, and combinatorics. Therefore, this text uniquely presents an exciting playing field for graduate students and researchers in mathematics, physics, and computer science, to expand their knowledge in the field of algebraic geometry. The standard monomial theory (SMT) for...

Bio-Instructive Scaffolds for Musculoskeletal Tissue Engineering and Regenerative Medicine explores musculoskeletal tissue growth and development across populations, ranging from elite athletes to the elderly. The regeneration and reparation of musculoskeletal tissues present the unique challenges of requiring both the need to withstand distinct forces applied to the body and ability to support cell populations.

The book is separated into sections based on tissue type, including bone, cartilage, ligament and tendon, muscle, and musculoskeletal tissue interfaces. Within each...