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Stochastic Gating in Asymmetric Exclusion Process for Biological Transport Applications

Explore variable entrance and exit rates in a model akin to fungal hyphae growth model, with a carrier particle mediating track entry/exit. Achieve Self-Consistency through adjustments in PD rates for enhanced phase boundary shifts. Acknowledgments to James Moir and Martin Evans.

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Stochastic Gating in Asymmetric Exclusion Process for Biological Transport Applications

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  1. bF bB Stochastic gating of an Assymetric Exclusion Process for applications in biological transport A Jamie Wood

  2. bF bB Variable entrance and exit rates New – but similar to a model used to describe growing fungal hyphae (Sugden and Evans 2007). 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

  3. Simple results Self Consistency requires

  4. Alterations in PD – Fast Rates

  5. Alterations to PD – Slow rates

  6. Improved results Shifts phase boundary so that now, e.g.

  7. Double gating LD-HD phase boundary given by curve

  8. Thanks to James Moir Martin Evans

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