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A group matrix representation relevant to scales of measurement of clinical disease states via stratified vectors

Overview of attention for article published in Theoretical Biology and Medical Modelling, February 2016
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  • Above-average Attention Score compared to outputs of the same age (51st percentile)

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Title
A group matrix representation relevant to scales of measurement of clinical disease states via stratified vectors
Published in
Theoretical Biology and Medical Modelling, February 2016
DOI 10.1186/s12976-016-0031-8
Pubmed ID
Authors

Jitsuki Sawamura, Shigeru Morishita, Jun Ishigooka

Abstract

Previously, we applied basic group theory and related concepts to scales of measurement of clinical disease states and clinical findings (including laboratory data). To gain a more concrete comprehension, we here apply the concept of matrix representation, which was not explicitly exploited in our previous work. Starting with a set of orthonormal vectors, called the basis, an operator Rj (an N-tuple patient disease state at the j-th session) was expressed as a set of stratified vectors representing plural operations on individual components, so as to satisfy the group matrix representation. The stratified vectors containing individual unit operations were combined into one-dimensional square matrices [Rj]s. The [Rj]s meet the matrix representation of a group (ring) as a K-algebra. Using the same-sized matrix of stratified vectors, we can also express changes in the plural set of [Rj]s. The method is demonstrated on simple examples. Despite the incompleteness of our model, the group matrix representation of stratified vectors offers a formal mathematical approach to clinical medicine, aligning it with other branches of natural science.

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Attention Score in Context

This research output has an Altmetric Attention Score of 2. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 22 February 2016.
All research outputs
#3,226,536
of 7,229,418 outputs
Outputs from Theoretical Biology and Medical Modelling
#76
of 178 outputs
Outputs of similar age
#127,105
of 283,316 outputs
Outputs of similar age from Theoretical Biology and Medical Modelling
#1
of 4 outputs
Altmetric has tracked 7,229,418 research outputs across all sources so far. This one has received more attention than most of these and is in the 53rd percentile.
So far Altmetric has tracked 178 research outputs from this source. They receive a mean Attention Score of 3.6. This one has gotten more attention than average, scoring higher than 53% of its peers.
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We're also able to compare this research output to 4 others from the same source and published within six weeks on either side of this one. This one has scored higher than all of them