#### Juan M Murias' Lab

2) Please, input your data below (starting from the highest power output):

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Has Critical Power Dashboard made your life easier?

### Tutorial

• Whether you are a scientist, a coach, or an athlete, Critical Power Dashboard was designed to assist you to easily and quickly calculate critical power parameter estimates from time-to-exhaustion trials. In this section you will find a detailed description on how this app works.

• The formulas used in the app as well as the contact information can be found under the About tab.

### Step 1

• The first step is to select the number of time-to-exhaustion trials performed. This is done by selecting from 2 to 5 with the slider.

• Then, the table for data input is going to be updated for the correct number of rows.

### Step 2

• Then, it is time to input your data. Importantly, always start from the highest power output.

• Please, see an example with fictitious data.

### Step 3

• Last, but not least, now it is time to choose the fitting mode. Here, you may choose to calculate critical power using:

• All possible combinations: this mode fits all the possible models, on all the possible combinations from the trials provided.

• Simple analysis: this mode fits all the possible models from the trials provided.

• Then, press the Go! button to perform the calculation.

### Citation

#### Juan M Murias' Lab

Critical Power Dashboard aims to assist and encourage cycling enthusiasts interested in estimating critical power parameters from a series of time-to-exhaustion trials.

Please, cite the following scientific manuscript when referring to Critical Power Dashboard:

##### Mattioni Maturana, F., Fontana, F.Y., Pogliaghi, S., Passfield, L. and Murias, J.M., (2018). Critical power: How different protocols and models affect its determination. Journal of science and medicine in sport.

In total, four mathematical models are used:

1. The 3-parameter hyperbolic model ( CP3-hyp ):
2. $$t = \frac{W'}{PO-CP}+\frac{W'}{CP-P_{max}}$$
3. The 2-parameter hyperbolic model ( CP2-hyp ):
4. $$t = \frac{W'}{PO-CP}$$
5. The linear model ( CPlinear ):
6. $$W_{lim} = {W'}+CP\cdot\ t_{lim}$$
7. And the linear 1/time model ( CP1/time ):
8. $$PO = {W'}\cdot\ \frac{1}{t}+CP$$

where t is time (in seconds), CP is critical power (in watts), W' is the work done above CP (in joules), PO is power output (in watts), Pmax is maximal instantaneous power (in watts), Wlim is work limit (in joules), and tlim is time limit (in seconds).

#### Developed by:

- Felipe Mattioni Maturana

- John Holash

- Federico Fontana

- Louis Passfield

- Juan M Murias

For special inquiries or feedback, please contact Felipe Mattioni Maturana at felipe.mattioni@med.uni-tuebingen.de