The main pathological characteristics of Alzheimer's disease are the deposition of β-amyloid plaques in the brain and an im-balance of Ca2+homeostasis.For this reason,several inhibitors have been developed to lower β-amyloid and Ca2+concentrations with the aim of slowing down the disease process in Alzheimer's disease.In this paper,based on the interaction between Ca2+and β-amy-loid,an optimal control model considering the effect of inhibitors is constructed and analyzed.First,the threshold conditions for the oc-currence of bistability in the system are given from the theoretical level;next,the Pontryagin Minimum Principle is used to find the op-timal control strategy;and last,the effects of different control strategies are investigated based on numerical simulation results.The re-sults showed that,in contrast to the use of a single type of inhibitor,the combination of β-amyloid inhibitor and Ca2+inhibitor can ef-fectively reduce the level of β-amyloid,thus controlling the disease process.
关键词
Ca2+/β淀粉样蛋白/双稳态/抑制剂/最优控制
Key words
Ca2+/β-amyloid/bistable state/inhibitor/optimal control
维普
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