The motion of cells and molecules through biological environments is often hindered by the presence of other cells and molecules. A common approach to modeling this kind of hindered transport is to examine the mean squared displacement (MSD) of a motile tracer particle in a lattice-based stochastic random walk in which some lattice sites are occupied by obstacles. Unfortunately, stochastic models can be computationally expensive to analyze because we must average over a large ensemble of identically prepared realizations to obtain meaningful results. To overcome this limitation we describe an exact method for analyzing a lattice-based model of the motion of an agent moving through a crowded environment. Using our approach we calculate the e...
Free to read\ud \ud Migration of cells and molecules in vivo is affected by interactions with obstac...
We investigate random walk of a particle constrained on cells, where cells behave as a lattice gas o...
Transport through crowded environments is often classified as anomalous, rather than classical, Fick...
The motion of cells and molecules through biological environments is often hindered by the presence ...
The motion of cells and molecules through biological environments is often hindered by the presence ...
The motion of cells and molecules through biological environments is often hindered by the presence ...
Random walk models are often used to interpret experimental observations of the motion of biological...
Random walk models are often used to interpret experimental observations of the motion of biological...
Random walk models are often used to interpret experimental observations of the motion of biological...
Transport through biological environments that are densely crowded with obstacles is often classifie...
Free to read Migration of cells and molecules in vivo is affected by interactions with obstacles. Th...
Migration of cells and molecules in vivo is affected by interactions with obstacles. These interacti...
Migration of cells and molecules in vivo is affected by interactions with obstacles. These interacti...
Transport through biological environments that are densely crowded with obstacles is often classifie...
Free to read Migration of cells and molecules in vivo is affected by interactions with obstacles. Th...
Free to read\ud \ud Migration of cells and molecules in vivo is affected by interactions with obstac...
We investigate random walk of a particle constrained on cells, where cells behave as a lattice gas o...
Transport through crowded environments is often classified as anomalous, rather than classical, Fick...
The motion of cells and molecules through biological environments is often hindered by the presence ...
The motion of cells and molecules through biological environments is often hindered by the presence ...
The motion of cells and molecules through biological environments is often hindered by the presence ...
Random walk models are often used to interpret experimental observations of the motion of biological...
Random walk models are often used to interpret experimental observations of the motion of biological...
Random walk models are often used to interpret experimental observations of the motion of biological...
Transport through biological environments that are densely crowded with obstacles is often classifie...
Free to read Migration of cells and molecules in vivo is affected by interactions with obstacles. Th...
Migration of cells and molecules in vivo is affected by interactions with obstacles. These interacti...
Migration of cells and molecules in vivo is affected by interactions with obstacles. These interacti...
Transport through biological environments that are densely crowded with obstacles is often classifie...
Free to read Migration of cells and molecules in vivo is affected by interactions with obstacles. Th...
Free to read\ud \ud Migration of cells and molecules in vivo is affected by interactions with obstac...
We investigate random walk of a particle constrained on cells, where cells behave as a lattice gas o...
Transport through crowded environments is often classified as anomalous, rather than classical, Fick...