| Start Date: | 5/7/2014 | Start Time: | 3:00 PM |
| End Date: | 5/7/2014 | End Time: | 4:00 PM |
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Event Description
Jiaxu Li, associate professor of mathematics, University of Louisville
Abstract: Insulin pumps often deliver insulin in or close to impulsive manners. In this talk, we discuss novel mathematical models with impulsive injection of insulin to mimic such injections in the physiological system. We study these models both analytically and numerically. Analytical studies ensure that the qualitative behaviors of glucose and insulin are desired, which, for example, avoid failures in model applications. A safe region in terms of insulin does and delivery frequency is provided, which can be adjusted to keep glucose level under control. The studies of these models reveal that the plasma glucose can be controlled under an ideal level provided some undemanding conditions. Moderate time delays in physiological ranges are beneficial to lowering blood sugar level, rather than harmful. In the case of subcutaneous continuous insulin injection (SCII), controlling glucose level can be achieved by adjusting the dose and frequency of injected insulin. Model simulations show that a therapy with lower dose but higher frequency achieves better control. In contrast, for the case that the ideal glucose level is predefined, a therapy with larger dose (therefore lower frequency) is more effective. (Collaborated with M. Huang, X. Song and H. Guo, Xinyang, Xinyang Normal University, China) |
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Location:
Korman Center, Room 245, 15 South 33rd Street, Philadelphia, PA 19104 |
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