Target finding in fibrous biological environments

  title={Target finding in fibrous biological environments},
  author={David Gomez and Eial Teomy and Ayelet Lesman and Yair Shokef},
  journal={New Journal of Physics},
We use a lattice model to study first-passage time distributions of target finding events through complex environments with elongated fibers distributed with different anisotropies and volume occupation fractions. For isotropic systems and for low densities of aligned fibers, the three-dimensional search is a Poisson process with the first-passage time exponentially distributed with the most probable finding time at zero. At high enough densities of aligned fibers, elongated channels emerge… 
3 Citations

Capture of a diffusive prey by multiple predators in confined space.

This paper studies the first passage search of a diffusing target by multiple searchers (predators) in confinement in one, two, and three dimensions and finds that τ deviates from the ∼1/N scaling seen in the case of a static target, and this deviation varies continuously with r and the spatial dimensions.

Introduction to force transmission by nonlinear biomaterials.

Xiaoming Mao and Yair Shokef introduce the Soft Matter themed collection on force transmission by nonlinear biomaterials.

Mean-field interactions between living cells in linear and nonlinear elastic matrices.

This work considers simple effective geometries for the spatial arrangement of cells, calculates the mechanical work that each cell performs in order to deform the matrix, and study how that energy changes when a contracting cell is surrounded by other cells with similar properties and behavior.



First-passage times in complex scale-invariant media

The analytical approach provides a universal scaling dependence of the mean FPT on both the volume of the confining domain and the source–target distance, which is applicable to a broad range of stochastic processes characterized by length-scale-invariant properties.

Universal proximity effect in target search kinetics in the few-encounter limit

The behavior of smooth FPT densities, for which all moments are finite, is explained and universal yet generally non-Poissonian long-time asymptotics for a broad variety of transport processes are demonstrated.

Macromolecular diffusion in crowded solutions.

Elastic Anisotropy Governs the Range of Cell-Induced Displacements.

Mean first-passage times of non-Markovian random walkers in confinement

An analytical approach is introduced to calculate the mean first-passage time of a Gaussian non-Markovian random walker to a target in the limit of a large confining volume, and reveals, on the basis of Gaussian processes, the importance of memory effects in first-Passage statistics of non- Markovianrandom walkers in confinement.

Universal formula for extreme first passage statistics of diffusion.

This work proves a simple explicit formula for every moment of the fastest FPT, which holds for d-dimensional diffusion processes with general space-dependent diffusivities and force fields, on Riemannian manifolds, in the presence of reflecting obstacles, and with partially absorbing targets.

Mechanical Interaction between Cells Facilitates Molecular Transport

A novel mechanism of mechano‐biochemical feedback in the regulation of long‐range cell–cell communication is suggested, which predicts that cell‐induced remodeling can lead to a dramatic speedup in the transport of molecules between cells.

Long-range mechanical coupling of cells in 3D fibrin gels

The findings indicate that long-range mechanical coupling between cells is an important mechanism in regulating multicellular processes in reconstituted fibrin gels, and should motivate exploration of this mechanism in studies in vivo, in wound healing or angiogenesis, in whichfibrin is contracted by fibroblast cells.

Introduction to Percolation Theory 2nd edn (London: Taylor and Francis

  • 1992