Percolation model of axon guidance
نویسندگان
چکیده
In the developing brain neurons interconnect via the action of molecules that guide the axon to its targets, thus allowing the proper wiring scheme to emerge. It is not fully understood whether the underlying mechanism is wholly deterministic or not. The existence of “choice-points” and “decision-regions” suggests that options are available to the growth cone. The guidance mechanism is here simulated by equating the axonal trajectory to that of a trickle of ground water sipping through a bed of sand. Decision regions are implemented by assigning each site of the percolation lattice a set of probabilities ruling the possible moves.
منابع مشابه
A model for modified electrode with carbon nanotube composites using percolation theory in fractal space
We introduce a model for prediction the behavior of electrodes which modified withcarbon nanotubes in a polymer medium. These kinds of polymer composites aredeveloped in recent years, and experimental data for its percolation threshold isavailable. We construct a model based on percolation theory and fractal dimensionsand using experimental percolation threshold for calculating the moments of c...
متن کاملTHE SCALING LAW FOR THE DISCRETE KINETIC GROWTH PERCOLATION MODEL
The Scaling Law for the Discrete Kinetic Growth Percolation Model The critical exponent of the total number of finite clusters α is calculated directly without using scaling hypothesis both below and above the percolation threshold pc based on a kinetic growth percolation model in two and three dimensions. Simultaneously, we can calculate other critical exponents β and γ, and show that the scal...
متن کاملAxon Guidance: Push and Pull with Ephrins and GDNF
The pathfinding of motor axons is an important model system for understanding binary axon guidance decisions. Recent work has shown that GDNF attracts motor neuron growth cones, and interacts synergistically with ephrinAs on growth cone directionality.
متن کاملModeling of interstitial branching of axonal networks.
A mathematical model is developed to describe and investigate interstitial branching of axonal networks during nervous system development. The model under consideration describes axonal network growth in which the concentration of axon guidance molecules controls axon's growth and interstitial branching from axon shaft. Numerical simulations show that in the model framework axonal networks bran...
متن کاملSignal Transduction Mechanisms In Commissural Axon Guidance: The Role Of Intracellular Tyrosine Kinases In Netrin-Dcc/frazzled Axon Attraction
To develop a functional nervous system, neural circuits are initially established through the stepwise process of neural specification, axon guidance and synaptogenesis. Axon guidance, the process by which neurons extend axons to their final targets, relies on the presence of extracellular cues, and their respective guidance receptors. Intracellular molecules that transduce these signals are cu...
متن کامل