Viscoelastic and Viscoplastic Glucose Theory (VGT 11): From Time-domain Through Space-Domain to Frequency-Domain to Analyze and Study Glucose Characters and Behaviors of Two Collected Postprandial Plasma Glucose (PPG) Datasets for the PPG Level <120 mg/dL Versus >150 mg/dL Using Elasticity & Plasticity Theory (Time-Independent), and Viscoelasticity & Viscoplasticity Theory (Time-Dependent) Based on GH-Method: Math-Physical Medicine (No. 590)

Abstract

Gerald C Hsu

The author has studied strength of materials and theory of elasticity through his undergraduate courses at the University of Iowa. He then conducted research work to earn a master’s degree in Biomechanics under Professor James Andrews. At that time, he used the spring and dashpot models to simulate the behaviors of human joints, bones, muscles, and tendons in order to investigate the human-weapon interactions during the Vietnam war. Later, he went to MIT to pursue his PhD study under Professor Norman Jones, who taught him theory of plasticity and dynamic plastic behaviors of various structure elements. He also took additional graduate courses in the field of fluid dynamics and thermodynamics. Since then, many advancements have been made in the biomechanics branch, especially with human body tissues that possess viscoelastic characteristics, such as bones, muscles, cartilages, tendons (connect bone to muscle), ligaments (connect bone to bone), fascia, and skin. For example, the author suffered plantar fasciitis for many years. He understood that the night splint dorsiflexes forefoot, at the back of the foot, increases plantar fascia tension to offer stress-relaxation for the pain. This model of muscles and tendons connecting the lower leg and foot is a kind of viscoelastic study and biomedical problem solving. However, when dealing with human internal organs, it is not easy to conduct live experiments to obtain accurate measurements for the biomedical material properties. Although blood is a viscous (time-dependent) material, its viscosity factor may fall between water, honey, syrup, or gel. The author’s research subject is “glucose” where the carbohydrates and sugar amount is produced by the liver and is carried by red blood cells, not the blood itself. It is nearly impossible to measure material geometry or certain engineering properties of glucose, for example, to determine the viscosity of “glucose”. Therefore, the best he could do is to apply the “concept of viscoelasticity and/or viscoplasticity” to construct an analogy model of time-dependent glucose behaviors.

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