TY  - JOUR
A1  - Metzler, Ralf
A1  - Sanders, L.
A1  - Lomholt, M. A.
A1  - Lizana, L.
A1  - Fogelmark, K.
A1  - Ambjoernsson, Tobias
T1  - Ageing single file motion
JF  - The European physical journal
Y1  - 2014
U6  - https://doi.org/10.1140/epjst/e2014-02333-5
SN  - 1951-6355
SN  - 1951-6401
VL  - 223
IS  - 14
SP  - 3287
EP  - 3293
PB  - Springer
CY  - Heidelberg
ER  - 
TY  - JOUR
A1  - Sereshki, L. E.
A1  - Lomholt, M. A.
A1  - Metzler, Ralf
T1  - A solution to the subdiffusion-efficiency paradox inactive states enhance reaction efficiency at subdiffusion conditions in living cells
JF  - epl : a letters journal exploring the frontiers of physics
N2  - Macromolecular crowding in living biological cells effects subdiffusion of larger biomolecules such as proteins and enzymes. Mimicking this subdiffusion in terms of random walks on a critical percolation cluster, we here present a case study of EcoRV restriction enzymes involved in vital cellular defence. We show that due to its so far elusive propensity to an inactive state the enzyme avoids non-specific binding and remains well-distributed in the bulk cytoplasm of the cell. Despite the reduced volume exploration capability of subdiffusion processes, this mechanism guarantees a high efficiency of the enzyme. By variation of the non-specific binding constant and the bond occupation probability on the percolation network, we demonstrate that reduced nonspecific binding are beneficial for efficient subdiffusive enzyme activity even in relatively small bacteria cells. Our results corroborate a more local picture of cellular regulation.
Y1  - 2012
U6  - https://doi.org/10.1209/0295-5075/97/20008
SN  - 0295-5075
VL  - 97
IS  - 2
PB  - EDP Sciences
CY  - Mulhouse
ER  - 
TY  - JOUR
A1  - Chechkin, Aleksei V.
A1  - Zaid, I. M.
A1  - Lomholt, M. A.
A1  - Sokolov, Igor M.
A1  - Metzler, Ralf
T1  - Bulk-mediated surface diffusion on a cylinder in the fast exchange limit
JF  - Mathematical modelling of natural phenomena
N2  - In various biological systems and small scale technological applications particles transiently bind to a cylindrical surface. Upon unbinding the particles diffuse in the vicinal bulk before rebinding to the surface. Such bulk-mediated excursions give rise to an effective surface translation, for which we here derive and discuss the dynamic equations, including additional surface diffusion. We discuss the time evolution of the number of surface-bound particles, the effective surface mean squared displacement, and the surface propagator. In particular, we observe sub- and superdiffusive regimes. A plateau of the surface mean-squared displacement reflects a stalling of the surface diffusion at longer times. Finally, the corresponding first passage problem for the cylindrical geometry is analysed.
KW  - Bulk-mediated diffusion
KW  - anomalous diffusion
KW  - Levy flights
KW  - stochastic processes
Y1  - 2013
U6  - https://doi.org/10.1051/mmnp/20138208
SN  - 0973-5348
VL  - 8
IS  - 2
SP  - 114
EP  - 126
PB  - EDP Sciences
CY  - Les Ulis
ER  -