Spiroergomteric relation for automated method

anaerobicthresold.org by P.Kvaca [1]

The automated method can be used only if the mutual increase of spiroergometric parameters is exponential. Exponential trend of the spiroergometric relation can be roughly judged by three ways. The first two are based on an experience  either own experience of exercise physiologist from the 1st and 2nd Faculty of Medicine, Charles University Prague collaborating on this research or their knowledge from the world literature  experience of other exercise physiologists. The third way is the data analysis of measured data set.
The following procedure of solving has been chosen. Firstly, the data analysis of the measured data files was executed  an algorithm applying two criterions mentioned further in the text detected the exponential trend of spiroergometric relation. The algorithm selected some relations with the possible exponential trend and this selection for the further analysis was employed. Subsequently the selected relations with the relations mentioned in world literature were confronted. Lastly the suitable relations, which would be advisable for the AT determination from spiroergometric parameters, were chosen with the help of experienced exercise physiologists of the Charles University.
Data analysis of two months examination set of the Department of Exercise Medicine has been executed. The examinations were executed on healthy persons by reason of the prescription of physical activity. The same exercise protocol for all tested persons was applied. The load 1 W/kg for the first two minute were set, afterwards the load every minute by 0,5 W/kg to the maximum was escalated. The minimum of measured points in exercise were 3, maximum were 11 points.
The mutual combinations of 15 used spiroergometric parameters in exercise medicine represent 210 relations. The total number of the relations for the set of 28 people reaches 5880 relations, which had to be judged for the exponential pattern. It has been necessary to execute the evaluation automatically (by means of program) because the manual evaluation would be unreasonable in first impression.
The algorithm of the program has to implement the definition  what is an exponential trend of a relation and it has to operate according to unambiguous rules for the selection. The following deliberation has been used for the description of exponential trend. The rules ensue from the figure.
Figure: Criteria for Selection
Deliberation and criteria
The first point of a proper exponential curve is always located bellow the last point. The other points of an exponential curve are located below the constructed join line if the first and the last point of the proper exponential curve are connected.
Two criteria result from mentioned deliberation.

Criterion one:
The relation is probably unsuitable for the interlacing of exponential curve if the last point is reclined higher than the first point.

Criterion two:
The rate of points laying below the constructed join line and the total points between the extreme points of the exponential curve gives certain information about the possible exponential trend of the relation; Exponential Trend Ratio  ETR. (We are interested in the number of points placed above the join line contrary to the total number of measured points). ETR equals 100% means the nearly definite exponential trend and 0% vice versa.
The program for data analysis according to the mentioned criteria was compiled and it incorporated following procedure with the data set of spiroergometric examinations. Firstly, the ETR of all the spiroergometric parameters of each examined person are calculated and then the resultant ETR as an average of all persons was achieved. The suitable relation for the next appraisal has been the relation having the ETR higher than 50 %. 30 relations with possible exponential trend from the total number of 210 relations were qualified. They are presented in table.
no. 
Parameter X 
Parameter Y 
ETR (%) 
1 
Minute Ventilation 
Oxygen Uptake 
90 
2 
Minute Ventilation 
Heart Rate 
83 
3 
VCO2 
Oxygen Uptake 
80 
4 
Minute Ventilation 
Pulse Oxygen 
80 
5 
Load 
Heart Rate 
78 
6 
VEO2 
RER 
77 
7 
VEO2 
Heart Rate 
76 
8 
VCO2 
Pulse Oxygen 
76 
9 
VEO2 
Pulse Oxygen 
76 
10 
VCO2 
Heart Rate 
75 
11 
VEO2 
Load 
74 
12 
VEO2 
Oxygen Uptake 
74 
13 
VEO2 
VCO2 
72 
14 
RER 
Heart Rate 
71 
15 
Minute Ventilation 
VCO2 
71 
16 
Minute Ventilation 
Load 
70 
17 
VEO2 
O2 Utilisation 
69 
18 
VEO2 
Minute Ventilation 
69 
19 
RER 
Pulse Oxygen 
63 
20 
Oxygen Uptake 
Heart Rate 
61 
21 
RER 
Oxygen Uptake 
61 
22 
Load 
Oxygen Uptake 
60 
23 
VCO2 
Load 
59 
24 
Load 
Pulse Oxygen 
58 
25 
RER 
VCO2 
56 
26 
Oxygen Uptake 
Pulse Oxygen 
56 
27 
RER 
Load 
54 
28 
VEO2 
VECO2 
52 
29 
Minute Ventilation 
RER 
51 
30 
RER 
VECO2 
51 
Table: Exponential Trend Ratio of 30 Selected Spiroergometric Reactions
The next step has been the confrontation of data analysis results with the world literature according to knowledge of medical coworkers. They selected from the exercise medicine literature six relations with the possible exponential trend [26]. They are mentioned in the table with the ETR.

Parameter Y 
Parameter X 
ETR (%) 
1 
Minute Ventilation 
VO2 
90 
2 
VCO2 
VO2 
80 
3 
VEO2 
Load 
74 
4 
Minute Ventilation 
Load 
70 
5 
RER 
VO2 
61 
6 
VCO2 
Load 
59 
Table: Spiroergometric relation from the world literature (with Exponential Trend Ratio)
It is evident that spiroergometric relations mentioned in the world literature have very high Exponential Trend Ratio obtained from the data analysis.
The final solution about spiroergometric relation suitability for the AT determination should be considered as a recommendation arisen in accordance with exercise physiologists. They insisted on six spiroergometric parameters (Heart Rate, Minute Ventilation, Load, Oxygen Uptake, Respiration Equivalent, Carbon Dioxide Production). The heart rate is the most important parameter for the prescription of exercise activity. This parameter is easy achieved without complicate devices and therefore is suitable for assignment of the topical level of the organism workload with respect to its anaerobic threshold.
The review of the recommended relations in the following table 2.4 is mentioned. It includes selected spiroergometric parameter together with relation and the value of the exponential trend ratio. Two relations are stated with the heart rate because the approximately same results were achieved  Minute Ventilation 83% and Load 78%.

Parameter 
Y=f (X) 
X 
ETR (%) 
1 
Heart Rate 
Minute Ventilation 
Heart Rate 
83 
 
Load  
78 
2 
Oxygen Uptake 
Minute Ventilation 
Oxygen Uptake 
90 
3 
Load 
Load 
Heart Rate 
78 
4 
Minute Ventilation 
Minute Ventilation 
Oxygen Uptake 
90 
5 
VEO2 
VEO2 
Load 
74 
6 
VCO2 
VCO2 
Oxygen Uptake 
80 
Table: Final Recommendation of Spiroergometric Relation
Reference:
[1] Kvaca, P., Radvansky., J., Cermak, M.: "Determinaton of Anaerobic Threshold from Spiroergometric Parameters  Method for Computer Implementation." Med. Sport. Boh. Slov., Vol. 7(1), pp. 1419: 1998




