Abstract
The growth of axons is a key process in neural system development, which relies upon a subtle balance between external mechanical forces and remodeling of cellular constituents. A key problem in the biophysics of axons is therefore to understand the overall response of the axon under stretch, which is often modeled phenomenologically using morphoelastic or viscoelastic models. Here, we develop a microscopic mixture model of growth and remodeling based on protein turnover and damage to obtain the macroscopic rheology of axonal shafts. First, we provide an estimate for the instantaneous elastic response of axons. Second, we demonstrate that under moderate traction velocities, axons behave like a viscoelastic Maxwell material. Third, for larger velocities, we show that failure takes place due to extensive damage.
Publisher
Cold Spring Harbor Laboratory
Reference52 articles.
1. M. A. Patestas and L. P. Gartner , A textbook of neuroanatomy, 2nd ed. (John Wiley & Sons, 2016).
2. G. F. Striedter , Neurobiology: a functional approach, 1st ed. (Oxford University Press, 2016).
3. Integrating Chemistry and Mechanics: The Forces Driving Axon Growth
4. Mechanistic advances in axon pathfinding
5. Stretch growth of integrated axon tracts: Extremes and exploitations