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There is an "arithmetic" of tangles with addition, multiplication, and reciprocal operations. An algebraic tangle is obtained from the addition and multiplication of rational tangles. The numerator closure of a rational tangle is defined as the link obtained by joining the "north" endpoints together and the "south" endpoints also together.
Neurofibrillary tangles are formed by hyperphosphorylation of a microtubule-associated protein known as tau, causing it to aggregate, or group, in an insoluble form. (These aggregations of hyperphosphorylated tau protein are also referred to as PHF, or "paired helical filaments"). The precise mechanism of tangle formation is not completely ...
The full set of fundamental transformations and operations on 2-tangles, alongside the elementary tangles 0, ∞, ±1 and ±2. The trefoil knot has Conway notation [3].. In knot theory, Conway notation, invented by John Horton Conway, is a way of describing knots that makes many of their properties clear.
The Tangle, the transaction settlement and data integrity layer of the IOTA distributed ledger; Tangle (mathematics), one of two related concepts Tangle, a multipartite entanglement measure
Hyperphosphorylation of tau proteins causes them to dissociate from microtubules and form insoluble aggregates called neurofibrillary tangles. [2] Various neuropathologic phenotypes have been described based on the anatomical regions and cell types involved as well as the unique tau isoforms making up these deposits. The designation 'primary ...
Primary age-related tauopathy (PART) is a neuropathological designation introduced in 2014 to describe the neurofibrillary tangles (NFT) that are commonly observed in the brains of normally aged and cognitively impaired individuals that can occur independently of the amyloid plaques of Alzheimer's disease (AD).
In the mathematical theory of knots, a pretzel link is a special kind of link.It consists of a finite number of tangles made of two intertwined circular helices.The tangles are connected cyclicly, [2] and the first component of the first tangle is connected to the second component of the second tangle, the first component of the second tangle is connected to the second component of the third ...
Tau protein has a direct effect on the breakdown of a living cell caused by tangles that form and block nerve synapses. [59] Gender-specific tau gene expression across different regions of the human brain has recently been implicated in gender differences in the manifestations and risk for tauopathies. [60]