BIO SCI E151 Lecture Notes - Lecture 18: Varus Deformity

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Let"s look at ctl, killer t cells: kill infected cells and suppress virus replication. When they see infected cells, they will replicate: they also die at a certain rate, kill infected cell, p, we have an additional component of cell death for infected cells. We also have ctl induced death, p: di/dt = bsv [ai] piz, ai: natural death, piz: ctl induced death. The c is the division of t-cells: prey equation, piz is the functional response. Functional response: describes the amount of prey eaten by one predator as a function of prey density: dz/dt = ciz - bz. If number of infected cells is too low, then the response fails. Let"s look at two scenarios: low/high ctl death rate. Insight obtained from population dynamics type of thinking. Each infected cell produces viruses at a certain rate. K : but now this rate is reduced if there is z around.

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