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Efficiency of interacting molecular motors František Slanina [email protected] fzu.cz/~slanina

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Efficiency of interacting molecular motors František Slanina [email protected] fzu.cz/~slanina - PowerPoint PPT Presentation


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Efficiency of interacting molecular motors František Slanina [email protected] www.fzu.cz/~slanina. Brownian motion. Maxwell d e mon. Heats hot. Cools cold. Smoluchows ki r atchet. Granular r atchet. Feynman r atchet. On-off ratchet. Thermal ratchet. Pump: rocking ratchet.

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Presentation Transcript
slide3
Maxwell demon

Heats

hot

Cools

cold

slide15
myosin

dynein

kinesin

slide20
Ribosomes

ASEP (B.Derrida)

slide21
RNA polymerase

„traffic jams“

„Christmass tree“

slide22
Membrane tubes

„traffic jam“

slide23
“reversible” ratchet

Spatial

periodicity

Temporal

periodicity

slide24
Potential

Hopping probabilities

Measured:

expedited

absorbed

slide27
(full)

(empty)

slide38
Mean-field approximation

Step I: “stroboscopic trick”

Time within period

which period

Position within period

Many hops per unit time

Time-independent rates

Time-independent master equation

slide39
Mean-field

Step II: effective potential

MF1

MF2

or: effective hopping probability

Poisson distribution parameter

slide40
Mean-field

or: effective hopping probability

MF3

slide41
Recursion: first step

For calculation of

On condition particle at x

On condition two particles at x

slide42
Recursion: second step

For calculation of

On condition particles at x and y

Recursion: and so on…

slide44
Comparison of MF schemes

MF2

MF1

simulation

MF3

slide45
Phase diagram

Non-optimizable phase

MF1

MF1

simulation

optimizable phase

slide46
Work distribution

g = 0.12

g = 0

slide47
Energy balance

current

efficiency

energy input

slide48
Large deviations

Fluctuation theorem?

l.d.f.

slide49
Conclusions
  • Efficiency increased by not too strong interaction
  • Current reversals when interaction and/or density increases
  • Energetic, rather than entropic effect
  • Complex behavior of response
  • Large deviations: non-Gaussian

Outlook

  • Realistic model of myosin V
  • Clarify fluctuation symmetries

Thanks: GAČR No. 202/07/0404

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