c363def9-86e1-470e-a04f-ca63da31b4a5 21 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

vx vy char size clr plotG n vx length : plot vx 1 el vy 1 el char size clr augment : i 2 n range plot plot vx i el vy i el char size clr augment stack : for plot 41 line :

Bar plot unicolor style, bar width user. data dt BarSize v data 2 col : t v bar t dt - 0 t dt - v t dt + v t dt + 042 mat : j 1 data rows range j 1 ≡ B data j 1 el data j 2 el bar : B B data j 1 el data j 2 el bar stack : if 11 line for B 41 line :

XY 00 1.94 1.37 3.88 4.57 5.81 8.22 8.53 14.15 12.79 26.94 16.28 40.18 19.38 53.42 23.64 66.67 31.01 79.91 40.7 89.04 50 93.61 62.02 95.89 72.87 96.8 79.07 97.26 92.64 97.72 162 mat :

Oxyhemoglobin reconciliation

X XY 1 col : Y XY 2 col : Data X Y . 10 black plotG : 31 line

n 4 :

t β xfr β 1 el 1 t β 2 el + (- β 2 el / exp 1 k! / t β 2 el + (β 2 el / (k^* (k 0 n sum * - (* β 3 el + :

n 4 ≡ β 96 4.84 0.351 - 31 mat ≡ 21 mat

β 96 4.84 0.351 - 31 mat :

0 β xfr 0

u 0 x ≤ :

x β xfr u * X 9 el Y 9 el + 200 red 1 5 mat Data 3 1 sys

Absolute residuals Residuals i 1 XY rows range Δ i el Y i el X i el β xfr - eval : for X Δ augment 21 line :

Residuals 0.25 BarSize X 9 el 4 X 9 el 4 - 2 2 mat 2 1 sys

An 'n' stages system

n 9 :

T 1 :

XFR [Transfer Function] =========

XFR of 'n' multistage system of
=  Unit Time Constant [1] n t XFR 1 t - T / exp 1 k! / t T / (k^* (k 0 n sum * - :

1 x XFR u * 5 x XFR u * 10 x XFR u * 3 1 sys

The original data set [244 pairs] is unsourced. The upper range is conserved from decimation. The lower range from point selection. The original data set does not looks "true", rather a fake from unknown [suspected a fake from poor rational segment fit]. It must be recognised as an XFR of a multistage system, variable time constant 'T'. The form xfr(t,β) is the form I have attempted "Genfit", not to avail ... does not digest Σ.

Oxyhemoglobin: two segments

This proposal is more adapted to the reality of "Oxyhemoglobin" wrt Ph. As well as for Σ above, does not minimize 'Heaviside'.

XY 00 1.94 1.37 3.88 4.57 5.81 8.22 8.53 14.15 12.79 26.94 16.28 40.18 19.38 53.42 23.64 66.67 31.01 79.91 40.7 89.04 50 93.61 62.02 95.89 72.87 96.8 79.07 97.26 92.64 97.72 162 mat :

X XY 1 col : Y XY 2 col : Data X Y . 10 black plotG : 31 line

x α f α 4 el x α 3 el - Heaviside * α 2 el - α 1 el + α 1 el x α 3 el - (- α 1 el / exp * - α 2 el x α 3 el - (- α 2 el / exp * + α 2 el α 1 el - / * - :

β 9 8.75 3.15 9741 mat :

α 12.5 11.423 09941 mat :

FIT U 020 0.1 range : i 1 U rows range FIT i el U i el α f eval : for U FIT augment 31 line :

β 9 8.75 3.15 9741 mat ≡

α 12.5 11.44 09941 mat ≡

0 β f 0

Data FIT 2 1 sys

Absolute residuals Residuals i 1 XY rows range Δ i el Y i el X i el α f - eval : for X Δ augment 21 line :

Residuals 0.01 BarSize 0 12.79 5 12.79 5 - 2 2 mat 4 1 sys

x α xfr_1 α 4 el x α 3 el - Heaviside * α 2 el - α 1 el + α 1 el x α 3 el - (- α 1 el / exp * - α 2 el x α 3 el - (- α 2 el / exp * + α 2 el α 1 el - / * - :

x β xfr_2 β 4 el x β 3 el - Heaviside * β 2 el - β 1 el + β 1 el x β 3 el - (- β 1 el / exp * - β 2 el x β 3 el - (- β 2 el / exp * + β 2 el β 1 el - / * - :

X1 x α xfr_1 x β xfr_2 - 0 ≡ x 020 solve : 0 12.79 21 mat

Y1 X1 2 el α xfr_1 (: 28.705

plot x α xfr_1 x β xfr_2 Data X1 2 el Y1 + 200 green 15 mat 41 sys :

plot

x Oxyh x α xfr_1 0 x ≤ (x X1 2 el ≤ (& x β xfr_2 X1 2 el x ≤ (x 100 ≤ (& N/A cases :

Data x Oxyh X1 2 el Y1 + 200 green 1 5 mat 3 1 sys

x Oxyh x 0100 int 7708.5

http://ocw.nctu.edu.tw/upload/classbfs120905452520455.pdf