The goal of Glycemic stabilizer is to help as many diabetes patients as possible alleviate their suffering in the future. Helping users understand how it works is an essential task. On the other hand, confirming the reliability of the experimental design is also necessary. Therefore, we have developed the Gene-circuit software for realistic simulation of synthetic biology and constructed dynamic DDE models to meet these needs.
By calculating the Delay Differential Equation (DDE) to validate experimental data, we can quantitatively analyze the experimental results and predict the performance of products under various conditions.
During the process of selecting a specific equation to validate experimental data, parameters are approximated by constant transformation and fractional function fitting. The original dataset is then substituted into the original solution of the Delay Differential Equation (DDE).
[1] Shiffman, Daniel, Shannon Fry, and Zannah Marsh. The nature of code. D. Shiffman, 2012.
[2] Yazawa,
M., Sadaghiani, A. M., Hsueh, B. & Dolmetsch, R. E. Induction of protein-protein interactions in live
cells using light. Nat Biotechnol 27, 941–945 (2009).
[3] Xie, M. et al. β-cell-mimetic designer cells
provide closed-loop glycemic control. Science (New York, N.Y.) 354, 1296–1301 (2016).
[4] Ausländer, D.
et al. A synthetic multifunctional mammalian pH sensor and CO2 transgene-control device. Molecular cell
55, 397–408 (2014).
[5] Li J, Kuang Y, Mason CC. Modeling the glucose-insulin regulatory system and ultradian insulin
secretory oscillations with two explicit time delays. J Theor Biol. 2006 Oct 7;242(3):722-35.
[6]
Watson, E. M., Chappell, M. J., Ducrozet, F., Poucher, S. M. & Yates, J. W. T. A new general glucose
homeostatic model using a proportional-integral-derivative controller. Computer Methods and Programs in
Biomedicine 102, 119–129 (2011).
[7] Baggio, L. L. & Drucker, D. J. Biology of Incretins: GLP-1 and GIP.
Gastroenterology 132, 2131–2157 (2007).
[8] Cheung, A. T. et al. Glucose-dependent insulin release from
genetically engineered K cells. Science 290, 1959–1962 (2000).
[9] Marchetti G, Barolo M, Jovanovic L, Zisser H, Seborg DE. An improved PID switching control strategy
for type 1 diabetes. IEEE Trans Biomed Eng. 2008 Mar;55(3):857-65.
[10] Wang H, Li J, Kuang Y. Mathematical modeling and qualitative analysis of insulin therapies. Math
Biosci. 2007 Nov;210(1):17-33.
[11] Pacini G, Bergman RN. MINMOD: a computer program to calculate insulin sensitivity and pancreatic
responsivity from the frequently sampled intravenous glucose tolerance test. Comput Methods Programs
Biomed. 1986 Oct;23(2):113-22.