KUWTP Ep. 11 | 2nd July 2024 | Making sense of our results
Impedance? Simi Lai Eh!? In a nutshell, impedance (Z) is a measure of the opposition to electrical flow, with units in ohms. For DC systems, impedance and resistance (R) are the same. In AC systems, impedance is dependent on reactance (X), which in turn is affected by the frequency-dependent contributions of capacitance (C) and inductance (L). Kindly refer to Figs. 1 and 2 for a brief explanation on the relation between impedance and reactance – slides credited to Dr. Koh Teck Seng, course coordinator for our Physics Module CY1308! It should be noted that the formula changes depending on the circuit set up (Fig. 3 – image credited to Analog Devices).
Now, back to our usual broadcast after the quick physics lesson! Today, our main goal was to make sense of our results – namely validating the impedance values obtained and obtaining the Body Fat (BF) percentage from our impedance value. We first had an inkling that our impedance value obtained was not entirely accurate as the range obtained was oddly similar for everyone (Fig. 4).
Referring to an established equation developed by E. Mylott (Mylott et al., 2014) where impedance (Z) is related to Fat Free Mass (FFM) using the equation below. Fat Mass (FM) is then obtained by taking Weight-FFM, and lastly BF is obtained by taking 100(FM/W).
Z = 0.360(Height2/R) + 0.162(Height) + 0.289(Weight) – 0.134(Age) + 4.83(Gender) – 6:83
where gender is allocated as male = 1 and female = 0
Using the calibration settings provided by the default software settings, we obtained impedance values for frequency values within 30kHz and 30.2kHz. Observing that the impedance values were approximately the same, we took the average impedance value and used it to calculate BF. This calculation allowed us to confirm that the impedance value was not right as the BF calculated out for Human Toast #1 and Human Toast #4 amounted to about 40% (we might be fat but not THAT FAT! T_T). Here on, we will only discuss the results obtained for Human Toast #1 and #4 as only they currently have an accurate baseline to compare with the results obtained from our machine. The baseline for Human Toast #1 is set at 21.8% as obtained from an OMRON HBF-702T and the baseline for Human Toast #4 is set at roughly 21% as per his last NS health checkup.
After some intensive research, we had a breakthrough and referring to a paper researching the use of BIA analysis on biceps, we made some changes to the sweeping frequency range of our AD5933EBZ board. Mainly, changes to the start frequency, delta frequency, number of increments and lowered the R1 resistor value from 200kΩ to 510Ω.
Re-testing on Human Toast #1 and #4, we were able to confirm that the results obtained after this re-calibration was correct. We confirmed the truth of our data in 2 ways – matching the graph obtained to that of the one in the research paper and by calculating out the BF (Figs. 5 and 6). With this new graph, we needed to decide on a frequency value to obtain our impedance value as we could no longer take the average since the impedance values clearly differed for the frequency range between 10kHz to 100kHz. We settled on using the most common operating frequency in most research papers – 50kHz as it allows impedance measurements with the best signal-to-noise ratio (Samoni & Luis, 2019). We deem the BF values obtained as accurate based on the margin of error established for AD5933 devices, where it is stated to have a maximum absolute error of 6.5% (Harder et al., 2016). The new BF obtained for Human Toast #1 is now 25.0% while Human Toast #4 is 20.6%.
Fig. 5 Human Toast #1
Fig. 6 Human Toast #4
As a side-quest, we also decided to calculate out the total body water (TBW) percentage using the following formula, TBW=0.732(FFM). A point to note is that TBW calculation is invalid for impedance value obtained at 50kHz as “TBW contains both intracellular water (ICW) and extracellular water (ECW), a 50kHz frequency may not account for all ICW because it may not cross cell membranes, a 100kHz frequency, so higher frequencies are preferred” (El Dimassi et al., 2024). For TBW values, it is more valid for Human Toast #4 (51.7%) than Human Toast #1 (29.1%) as his is closer to the male average of 59% while the female average is 50%.
All work no play makes Jack a dull boy. Our Biologist clearly lives by this quote religiously as after we clocked out of the MnT lab, she decided to entertain the Chemist and Electrician with the side quest of the day!
Special appreciation for Dylan/Human Toast #4 (owner of the famous ending quote in KUWTP Ep. 4) for willingly letting us tase you multiple times in the name of science! Do enjoy the below video of Human Toast #3 being toasted too ◡̈