derived relations - Definition. Was ist derived relations
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Was (wer) ist derived relations - definition

HOMOLOGICAL CONSTRUCTION
Derived categories; Derived Categories

Patient derived xenograft         
MODEL OF CANCER
Patient derived tumor xenografts; PDTX; Patient derived tumor xenograft; Patient-derived xenograft; Patient-derived tumor xenograft
Patient derived xenografts (PDX) are models of cancer where the tissue or cells from a patient's tumor are implanted into an immunodeficient or humanized mouse. PDX models are used to create an environment that allows for the natural growth of cancer, its monitoring, and corresponding treatment evaluations for the original patient.
Bone marrow-derived macrophage         
  • Schema of in vitro BMDM production
CELL TYPE
Bone marrow derived macrophage
Bone-marrow-derived macrophage (BMDM) refers to macrophage cells that are generated in a research laboratory from mammalian bone marrow cells. BMDMs can differentiate into mature macrophages in the presence of growth factors and other signaling molecules.
Myeloid-derived suppressor cell         
MYELOID CELLS THAT CAN SUPPRESS THE ACTIVITY OF T-CELLS AND NATURAL KILLER CELLS
MDSC inhibitor; Myeloid-derived Suppressor Cell
Myeloid-derived suppressor cells (MDSC) are a heterogeneous group of immune cells from the myeloid lineage (a family of cells that originate from bone marrow stem cells).

Wikipedia

Derived category

In mathematics, the derived category D(A) of an abelian category A is a construction of homological algebra introduced to refine and in a certain sense to simplify the theory of derived functors defined on A. The construction proceeds on the basis that the objects of D(A) should be chain complexes in A, with two such chain complexes considered isomorphic when there is a chain map that induces an isomorphism on the level of homology of the chain complexes. Derived functors can then be defined for chain complexes, refining the concept of hypercohomology. The definitions lead to a significant simplification of formulas otherwise described (not completely faithfully) by complicated spectral sequences.

The development of the derived category, by Alexander Grothendieck and his student Jean-Louis Verdier shortly after 1960, now appears as one terminal point in the explosive development of homological algebra in the 1950s, a decade in which it had made remarkable strides. The basic theory of Verdier was written down in his dissertation, published finally in 1996 in Astérisque (a summary had earlier appeared in SGA 4½). The axiomatics required an innovation, the concept of triangulated category, and the construction is based on localization of a category, a generalization of localization of a ring. The original impulse to develop the "derived" formalism came from the need to find a suitable formulation of Grothendieck's coherent duality theory. Derived categories have since become indispensable also outside of algebraic geometry, for example in the formulation of the theory of D-modules and microlocal analysis. Recently derived categories have also become important in areas nearer to physics, such as D-branes and mirror symmetry.