heinrich 4 XY constant size 4 vesicle types

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Heinrich Model Simplified ODE:8

Original Heinrich model was a differential equation system for a two-compartment model with two SNARE pairs (X,U and Y,V) and one cargo (C) and transport vesicles with coats A or B
J.Cell Biol.10.1083/jcb.200409087 Heinrich et al.Supplement

The model was adapted to Mathematica by John S. McCaskill and simplified to only two snares X and Y and no cargo and then to constant compartment sizes s1 and s2 and hence also numbers of transport vesicles of types A and B, and then here to ignore differences in vesicle origin for fusion rates.Result is 8 coupled ODEs for amounts of snares X and Y amounts on compartments 1,2 (4) on vesicles of type A or B (4). In this file the fusion rates are left unnormalized.

Introduction

Basic notation

Fusion processes

Budding processes

Differential equations

ODEs with explicit time dept variables

Initial conditions

Simulation run without normalized fusion

Simulation run with normalized fusion

auxiliary quantitites of interest


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