Abstract

Recently, the author applied theories of elasticity, plasticity, viscoelasticity, and viscoplasticity from engineering and perturbation theory from quantum mechanics, along with the wave theory and energy theory from physics to conduct his biomedical research on certain output biomarkers, such as glucose (symptoms or behaviors) resulting from a selected input biomarker, such as the carbs/sugar amount, exercise level, or others (causes or stressors). In this article, he chose his synthesized estimated daily glucose (eAG) data and waveform over the past 3.8 years as the strain (ε or output, symptom). Since 5/8/2018, he has been utilizing a continuously monitoring glucose (CGM) sensor device to collect 96 glucose data each day at 15-minute time intervals. In order to investigate and learn the behaviors of the strain (ε) or eAG, and its stress (σ) or input/cause as defined to be the eAG change rate multiplied by a selected viscosity factor (η), he purposely select two values of η as 1 and 2. After conducting the stress-strain analysis based on 1 and 2 as his viscosity factors (η), he then uses another set of measured values: average daily carbs/sugar intake amount of 41.13 grams and average daily walking exercise of 16.02 k-steps, as the second set of viscosity factors (η). There are two main purposes of this research article. First, to check the stress-strain diagram’s sensitivity due to the selection of different viscosity factors. Second, to examine the correlation between predicted strain (eAG) waveform using the viscoelastic perturbation model and the measured CGM sensor eAG waveform due to the selection of different viscosity factors. The following two defined equations from viscoelasticity glucose theory (VGT) are utilized to study the stressstrain relationship for this case study. At first, he selects his eAG as the strain, which is his target research item: strain = ε = individual output biomarker value (eAG) at present time Furthermore, he wants to use the strain rate or his overall eAG change rate to be multiplied by a selected viscosity factor as the stress: Stress = σ = η * (dε/dt) = η * (d-strain/d-time)

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