Decay bounds in a model for aggregation of microglia: application to Alzheimer's disease senile plaques

Source abstract

We present a model for chemotaxis, as applied to the aggregation of microglia in Alzheimer's disease. Using biological parameters found in the literature, testable thresholds are derived such that amyloid plaques are predicted not to form if conditions fall below a threshold. The model we use was developed by Luca et al . (Luca et al . 2003 Bull. Math. Biol. 65 , 693–730) and incorporates terms for both attractant and repellent signals. Our analysis can be applied to both two and three-dimensional spatial domains with application to any cell system involving chemotaxis.