Values from three simulations from SimThyr evaluated with ggmulti  HighDimensional Visualizations. Paterns and explanations. 

SimThyr is a simulation program for the pituitary thyroid feedback control that is based on a parametrically isomorphic model of the overall system that aims in a better insight into the dynamics of thyrotropic feedback. Applications of this program cover research, including development of hypotheses, and education of students in biology and medicine, nurses and patients. https://sourceforge.net/p/simthyr/home/SimThyr/ You may find different scenarios build for SimThyr here: https://sourceforge.net/projects/simthyr/files/Scenarios/ The two files presented below are taken from these scenarios. Below you find plots for three hours and later data for a day. 

Kubota 2 (Case No. 2 from Kubota et al. showing overt hypothyroidism) 
Pilo 1 (Case No. 1 from Pilo et al. showing slight hyperdeiodination and high conversion rate) 
Standard 
Looking at the density profiles for each of the hours 7 to 9 shows that there is only one value for TT3 and FT3 for the time 7 to 8  which causes the algorithm to exclude the number. Apart from this we also see changes in the profiles for TSH compared to both Pilo 1 and the Standard figures. 


TSH: Min. 1st Qu. Median Mean 3rd Qu. Max. 37.64 54.56 70.43 69.41 81.98 124.07 
TSH: Min. 1st Qu. Median Mean 3rd Qu. Max. 0.000 1.013 1.360 1.329 1.621 2.299 
TSH: Min. 1st Qu. Median Mean 3rd Qu. Max. 1.048 1.568 2.074 2.030 2.454 3.451 
FT3: Min. 1st Qu. Median Mean 3rd Qu. Max. 3.121 3.121 3.122 3.122 3.124 3.124 
FT3: Min. 1st Qu. Median Mean 3rd Qu. Max. 6.942 6.945 6.962 6.962 6.980 6.983 
FT3: Min. 1st Qu. Median Mean 3rd Qu. Max. 5.601 5.601 5.604 5.604 5.607 5.607 
FT4: Min. 1st Qu. Median Mean 3rd Qu. Max. 6.441 6.442 6.445 6.445 6.447 6.448 
FT4: Min. 1st Qu. Median Mean 3rd Qu. Max. 13.63 13.67 13.71 13.71 13.74 13.79 
FT4: Min. 1st Qu. Median Mean 3rd Qu. Max. 18.47 18.49 18.52 18.53 18.57 18.59 
Proposed reference intervals from SPINATHYR 
Units for the different parameters. 

What does the algorithm do? Parallel
coordinates use parallel axes instead of perpendicular to
represent dimensions of a multidimensional data set [25], [26]. A
vertical line is used for the projection of each dimension or
attribute, with the maximum and minimum values of each dimension
usually scaled to the upper and lower boundaries on those vertical
lines. A polyline made up of n1 lines at the appropriate
dimensional values connects the axes to represent an ndimensional
point.
Georges
Grinstein,
Marjan Trutschl, Urška
Cvek
See also this reference: http://www.agocg.ac.uk/reports/visual/casestud/brunsdon/parallel.htm 

It is obvious that with disease the patterns changes, with the values for T3 and T4 are compressed or turned. The patterns for T3 are changed, less obvious are the changes in TRH and TSH. 


infinite axis 


DAYS 




MINUTES 

SPINAGT: Min. 1st Qu. Median Mean 3rd Qu. Max. 0.5010 0.5051 0.5083 0.5101 0.5154 0.5239 
SPINAGT: Min. 1st Qu. Median Mean 3rd Qu. Max. 2.443 2.810 3.160 3.345 3.868 5.036 
SPINAGT: Min. 1st Qu. Median Mean 3rd Qu. Max. 2.681 2.966 3.317 3.447 3.906 4.734 
SPINAGD: Min. 1st Qu. Median Mean 3rd Qu. Max. 44.78 44.79 44.80 44.80 44.80 44.81 
SPINAGD: Min. 1st Qu. Median Mean 3rd Qu. Max. 46.78 46.84 46.95 46.96 47.08 47.13 
SPINAGD: Min. 1st Qu. Median Mean 3rd Qu. Max. 27.87 27.91 27.97 27.97 28.03 28.05 



19  24  TT3_nmol.l Min. 1st Qu. Median Mean 3rd Qu. Max. 1.864 1.864 1.864 1.864 1.864 1.864 
1924  TT3_nmol.l Min. 1st Qu. Median Mean 3rd Qu. Max. 3.999 3.999 3.999 3.999 3.999 3.999 
1924  TT3_nmol.l Min. 1st Qu. Median Mean 3rd Qu. Max. 3.223 3.223 3.224 3.224 3.224 3.224 
19  24  FT3_pmol.l Min. 1st Qu. Median Mean 3rd Qu. Max. 3.102 3.102 3.102 3.102 3.102 3.102 
19  24  FT3_pmol.l Min. 1st Qu. Median Mean 3rd Qu. Max. 6.653 6.654 6.654 6.654 6.654 6.654 
19  24  FT3_pmol.l Min. 1st Qu. Median Mean 3rd Qu. Max. 5.363 5.363 5.364 5.364 5.364 5.365 
19  24  FT4_pmol.l Min. 1st Qu. Median Mean 3rd Qu. Max. 6.405 6.405 6.405 6.405 6.405 6.405 
19  24  FT4_pmol.l Min. 1st Qu. Median Mean 3rd Qu. Max. 13.10 13.10 13.11 13.11 13.11 13.13 
19  24  FT4_pmol.l Min. 1st Qu. Median Mean 3rd Qu. Max. 17.75 17.75 17.75 17.75 17.76 17.77 
19  24  TSH_mU.l Min. 1st Qu. Median Mean 3rd Qu. Max. 45.24 55.01 62.45 63.84 73.62 81.80 
19  24  TSH_mU.l Min. 1st Qu. Median Mean 3rd Qu. Max. 0.7432 0.9606 1.0764 1.0639 1.1548 1.3557 
19  24  TSH_mU.l Min. 1st Qu. Median Mean 3rd Qu. Max. 1.344 1.567 1.722 1.685 1.788 2.030 















Significance  add to the obvious from these images that FT3/TT3 has a very narrow index compared to TSH. FT3 and TT3 are very stable within the different time periods compared to TSH and TRH. 
Novelty  for me it is new how narrow the index for FT3 and TT3 are (In the model). Another pattern from some of the images points out that some advanced mathematics is needed for explaining the torsion seen. See Inselberg below. 
This points at a carefull judgement of the free T3 values as the changes may occur in the third or fourth place after the comma. 



An animated version of the data you may find here: https://www.glensbo.dk/Simthyr/ ( Google Chrome ok but Firefox/Safari may cause trouble?) 




Inselbergs work: http://www.ifs.tuwien.ac.at/~mlanzenberger/teaching/ps/ws04/stuff/auth/00146402.pdf 





KUBOTA 
PILO 
STANDARD 
Ref interval 


Min 
Max 
Diff. 
Diff.R.I./Diff. 
Min 
Max 
Diff 
Diff.R.I./Diff. 
Min 
Max 
Diff 
Diff.R.I./Diff. 
Min 
Max 
Diff 

TSH 
37,64 
124,07 
86,43 
0,0365 
0 
2,299 
2,299 
1,3702 
1,048 
3,451 
2,403 
1,3109 
0,35 
3,5 
3,15 

FT3 
3,121 
3,124 
0,003 
933,3333 
6,942 
6,983 
0,041 
68,2927 
5,601 
5,607 
0,006 
466,6667 
3,5 
6,3 
2,8 

FT4 
6,441 
6,448 
0,007 
1142,8571 
13,63 
13,79 
0,16 
50,0000 
18,47 
18,59 
0,12 
66,6667 
6 
14 
8 