The study of differential algebraic geometry and model theory occupies a pivotal position at the interface of algebra, geometry, and logic. Differential algebraic geometry investigates solution sets ...

Model theory offers a robust logical framework for exploring the intricacies of algebraic structures, bridging abstract logic and concrete algebraic systems. Through the examination of models – ...

The whole picture of Mathematical Modeling is systematically and thoroughly explained in this text for undergraduate and graduate students of mathematics, engineering, economics, finance, biology, ...

Researchers have developed a novel algebraic model of DNA hybridization, a process central to most biotechnology devices that monitor changes in cell's gene expression or characterize a cell's genome.

Uncovering mechanisms regulating immune system responses is key to strengthening and redirecting them whenever necessary in cancer and infections as well as understanding autoimmune diseases. However, ...

This is the great mystery of human vision: Vivid pictures of the world appear before our mind’s eye, yet the brain’s visual system receives very little information from the world itself. Much of what ...