Heinrich Model SimplifiedODE:4
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 toMathematicaby 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 to ignore differences in vesicle origin for fusion rates.
- and finally theantisymmetricsituation where snare X on compartment 1 or vesicle type A is equivalent to snare Y on compartment 2 or vesicle type B.
Result is 4 coupled ODEs for amounts ofsnares X and Y amounts on compartments 1 (2) and on vesicles of type A (2) total = 2+2 = 4 ODEs
|Created byMathematica (January 9, 2007)|