Simple mathematical model of bidirectional active transport in axons (written in Mathematica).
General assuptions are:
- axonal microtubules are unidirectional (plus ends to periphery/growth cone)
- there are different ratios of kinesins/dyneins per single cargo
It corresponds to equations described in the publication:
LF Gumy, EA Katrukha, LC Kapitein, CC Hoogenraad New insights into mRNA trafficking in axons Developmental neurobiology, 2014
It consists of two files, first is to find how average probability density function (PDF) changes over time:
part1_average_PDF.nb
The second part simulates stochastic individual cargo movements:
part2_stochastic_MonteCarlo.nb
Developed in Cell Biology group of Utrecht University.
E-mail for any questions.