1 / 91

Models of HIV Infection at the Immune System Level

Models of HIV Infection at the Immune System Level. Douglas E. Norton Villanova University. Mellon Tri-Co Faculty Modeling Working Group Bryn Mawr College December 12, 2003. Villanova Summer. Research Institute.

holleb
Download Presentation

Models of HIV Infection at the Immune System Level

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Models of HIV Infection at the Immune System Level Douglas E. Norton Villanova University Mellon Tri-Co Faculty Modeling Working Group Bryn Mawr College December 12, 2003

  2. Villanova Summer Research Institute

  3. The National Health and Nutrition Examination Survey is a survey conducted by the National Center for Health Statistics (NCHS), Centers for Disease Control and Prevention. This survey has been designed to collect information about the health and diet of people in the United States. http://www.cdc.gov/nchs/nhanes.htm

  4. b, m bo m0 N

  5. EQUILIBRIUM POINT b, m bo m0 N

  6. EXAMPLE: Rabbits and sheep compete for a limited amount of grass. We assume logistic growth for each, that rabbits reproduce rapidly, and that the sheep can crowd out the rabbits. Then some unrealistic coefficients (just to make this example look friendlier) and these assumptions could give the following model: dx/dt = x(3 ­– x – 2y) dy/dt = y(2 ­– x – y), where x(t) = size of the rabbit population and y(t) = size of the sheep population. This is an example of what the N1 – N2 system may look like, algebraically speaking, if multiplication and constant renaming are utilized. We can explore this model with a natural extension of our recipe to find equilibrium points and possible extinction of one population.

More Related