It was reported that SP exacerbated dopaminergic neurodegeneration in mice (Wang et al., 2014), and, therefore, administrating SP antagonists creates neuroprotection of dopaminergic neurons in PD (Thornton and Vink, 2012, 2015; Johnson et al., 2017). In the proposed LIT model, SP antagonist effect was implemented as,
where wsp is the influence of SP on wSTN→SNc, δspa is the proportion of SP inhibition, and wspa is the influence of SP on wSTN→SNc under SP antagonist therapy.
The SP antagonist therapy was implemented in the proposed LIT model by the following criterion,
where is the instantaneous proportion of SP inhibition based on the number of surviving SNc neurons or terminals at the time , is the proportion of SP inhibition during therapy, is the instantaneous number of surviving SNc neurons or terminals, and represents the number of surviving SNc cells or terminals at which therapeutic intervention was employed (z = soma or terminal).
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