In this paper, we study linear rewriting systems modulo a set of algebraic axioms. We introduce the structure (3,2)-polygraph as presentation category enriched in categories, (called (2,2)-category), by system symbolic computation method order to compute bases for vector spaces 2-cells these categories. particular, case pivotal 2-categories using isotopy relations given biadjunctions on 1-cells...

The development of energy infrastructure is crucial for the fulfilment multifaceted European Union (EU) policy objectives in field. EU’s support to projects financial, technical, and political, explicated through a series legislative acts. This opinion aims provide an overview main initiatives introduced recent years (or soon be introduced) their impact on development. Examples include revision...

The value of model-based translation in drug discovery and development is now effectively being recognized many disease areas among various stakeholders. Such quantitative approaches are expected to facilitate the selection on which compound prioritize for successful development, predict human efficacious dose based preclinical data with adequate precision, guide design, de-risk later stages. i...

We explain and justify a path-following algorithm for solving the equations Af^ix) = a, where A is a. linear transformation from R" to R", C is a polyhedral convex subset of R", and Ac is the associated normal map. When A^ is coherently oriented, we are able to prove that the path following method terminates at the unique solution of A^ix) = a, which is a generalization of the weU known fact th...

The OB protein, also known as leptin, is secreted by adipose tissue, circulates in the blood, probably bound to a family of binding proteins, and acts on central neural networks regulating ingestive behavior and energy balance. The two forms of leptin receptors (long and short forms) have been identified in various peripheral tissues, a fact that makes them possible target sites for a direct ac...

INTRODUCTION Understanding the transcriptional regulatory networks that map out the coordinated responses of transcription factors and target genes would represent a significant advance in the analysis of osteosarcoma, a common primary bone malignancy. The objective of our study was to interpret the mechanisms of osteosarcoma through the regulation network construction. MATERIAL AND METHODS U...