We prove that the one-dimensional von K~rm~n system of equations describing the planar motion of a uniform prismatic beam of length L approaches (weakly) to a nonlocal beam equation of Timoshenko's type as a suitable parameter tends to zero. (~
Transport of a 1D viscoelastic actin–myosin strip of gel as a model of a crawling cell
✍ Scribed by Kamila Larripa; Alex Mogilner
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 234 KB
- Volume
- 372
- Category
- Article
- ISSN
- 0378-4371
No coin nor oath required. For personal study only.
✦ Synopsis
Cell crawling is an important biological phenomenon because it underlies coordinated cell movement in morphogenesis, cancer and wound healing. This phenomenon is based on protrusion at the cell's leading edge, retraction at the rear, contraction and graded adhesion powered by the dynamics of actin and myosin protein networks. A few one-dimensional models successfully explain an anteroposterior organization of the motile cell, but don't sufficiently explore the viscoelastic nature of the actin-myosin gel. We develop and numerically solve a model of a treadmilling strip of viscoelastic actin-myosin gel. The results show that the strip translocates steadily as a traveling pulse, without changing length, and that protein densities, velocities and stresses become stationary. The simulations closely match the observed forces, movements and protein distributions in the living cell.
📜 SIMILAR VOLUMES
Knowledge of the passive permeability coefficient for new drugs is useful for estimating the fraction absorbed across the gastrointestinal tract. The commonly used approximate formula for the passive permeability coefficient is based on the initial rate of permeation across cell monolayers, requires
Caco-2 cell cultures are a widely used in vitro model for the small intestinal drug transport, although large differences have been reported for actively transported substrates from different laboratories. Therefore, we compared three different Caco-2 clones: (1) from the American Culture Tissue Col