A model for fast axonal transport

Abstract

A model for fast axonal transport is developed in which the essential features are that organelles may interact with mechanochemical cross-bridges that in turn interact with microtubules, forming an organelle-engine-microtubule complex which is transported along the microtubules. Computer analysis of the equations derived to describe such a system show that most of the experimental observations on fast axonal transport can be simulated by the model, indicating that the model is useful for the interpretation and design of experiments aimed at clarifying the mechanism of fast axonal transport.

Theoretical analysis of radioactivity profiles during fast axonal transport: Effects of deposition and turnover

“…In Blum and Reed [1985], the alternate sequence of events, where the engines bind first to the microtubule and then to the organelle, was also a w l at ax…”

“…---kmlP1 -kdlW -ke21W9 sites on the microtubule to form the complex, a[W ax Q = P*nE.nT, which is translocated at constant velocity V, along the microtubule. In Blum and Reed [1985], the alternate sequence of events, where the engines bind first to the microtubule and then to the organelle, was also a w l at ax…”

“…Because of the removal of labeled materials by deposition, degradation, retrograde transport, and the leakage processes, this steady state will vary with x . In Blum and Reed [1985], these three processes were not considered, so the axon was at the same steady state at each x . If the axon has length L, the steady state values P,TF(x), Qss(x), etc, will satisfy: Pkm > M .…”

Upwind finite volume schemes for weakly coupled hyperbolic systems of conservation laws in 2D

“…Since the coupling in (1.1) is solely due to the low order source terms the Cauchy problem (1.1), (1.2) will henceforth be called a weakly coupled hyperbolic Cauchy problem. Weakly coupled systems arise in a widespread variety of different applications like combustion theory [1,14,17], hydrology [10,19], biology [2,6,18] or in the context of relaxation theory [7,15]. Here we focus on the case where dissipative effects can be neglected.…”

Entropy solutions for weakly coupled hyperbolic systems in several space dimensions

“…, f N , r ). Weakly coupled systems of hyperbolic or parabolic type arise in a widespread variety of different applications like combustion theory [1,13,17], hydrology [9,18], biology [2,5], in the context of relaxation theory [7,15] or others like heat transfer [19], resonance phenomena [14] and radiative transport. Here we focus on the case where dissipative effects can be neglected.…”