| Abstract | We analyze reaction-hyperbolic equations that arise in the transport of neurofilaments in the axon of a nerve cell. These particles are moving alternately by processive motion along microtubules with the aid of motor proteins, and by diffusion. We describe a maximum principle and establish existence and behavior of a unique solution. Numerical simulations show that the predictions of our model agree with pulse-labeling experiments from different nerve cell types, and also agree with stochastic simulation results. |
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