Simple mathematical model of bidirectional active transport in axons (written in Mathematica)
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README.md
part1_average_PDF.nb
part2_stochastic_MonteCarlo.nb

README.md

Axonal_transport_model

Simple mathematical model of bidirectional active transport in axons (written in Mathematica).

General assuptions are:

  1. axonal microtubules are unidirectional (plus ends to periphery/growth cone)
  2. 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.