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b F. b B. Stochastic gating of an Assymetric Exclusion Process. for applications in biological transport. A Jamie Wood. b F. b B. Variable entrance and exit rates. New – but similar to a model used to describe growing fungal hyphae ( Sugden and Evans 2007 ). - PowerPoint PPT Presentation
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Stochastic gating of an Assymetric Exclusion
Processfor applications in biological transport
A Jamie Wood
bF bB
Variable entrance and exit rates
New – but similar to a model used to describe growing fungal hyphae (Sugden and Evans 2007).
bF bB
In order to account for the some biological transport we need to introduce a “carrier” particle that mediates the entrance and exit from the tracks
Simple results
NBF
F
NBF
lbb
b
lbbdt
d
)()1(
Self Consistency requires
)1(
)(,
212
:
)1(
)(,2
1:
212
,21:
F
BF
F
BF
F
BF
F
BF
b
bb
b
bbHD
b
bbLD
b
bbMC
Alterations in PD – Fast Rates
Alterations to PD – Slow rates
Improved results
NNBNFNNN
NNNN
NBF
llblblldt
ld
llldt
ld
lbbdt
d
)1()1(
)1(
))1(
1
1
)24)((14
)1)(2)((,2
1:
FBFF
BFBF
bbbb
bbbbMC
Shifts phase boundary so that now, e.g.
Double gating
NBF
Fb
BF
Fa
lbb
b
laa
a
11
LD-HD phase boundary given by curve
0)(
)()(
)()(
222
FF
BFFBFF
BFBF
ab
bbaaab
bbaa
Thanks toJames MoirMartin Evans
