Derivation of a Model for Symmetric Lamellipodia with Instantaneous Cross-Link Turnover

Archive for Rational Mechanics and Analysis

Volumn 198, Issue 3, 2010, Pages 963-980

  Oelz, Dietmar ^a   Schmeiser, Christian ^a  

^a UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77958564584     PISSN: 00039527     EISSN: 14320673     Source Type: Journal    
DOI: 10.1007/s00205-010-0304-z     Document Type: Article

References (7)

1. Ambrosio L., Gigli N., Savaré G.: Gradient flows in metric spaces and in the space of probability measures. In: Lectures in Mathematics ETH Zürich. Birkhäuser, Basel, 2005.
2. Courant R., Friedrichs K., Lewy H.: Über die partiellen Differenzengleichungen der mathematischen Physik. Math. Ann. 100(1), 32-74 (1928).
3. De Giorgi, E.: New problems on minimizing movements. Boundary Value Problems for Partial Differential Equations and Applications. In: RMA Research Notes in Applied Mathematics, vol. 29, pp. 81-98. Masson, Paris, 1993.
4. De Giorgi E., Marino A., Tosques M.: Problems of evolution in metric spaces and maximal decreasing curve. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 68(3), 180-187 (1980).
5. Li F., Redick S. D., Erickson H. P., Moy V. T.: Force measurements of the [alpha]5[beta]1 integrin-fibronectin interaction. Biophys. J. 84(2), 1252-1262 (2003).
6. Oelz D., Schmeiser C.: How do cells move? Mathematical modelling of cytoskeleton dynamics and cell migration. In: Chauviere, A., Preziosi, L., Verdier, C. (eds) Cell Mechanics: from Single Scale-Based Models to Multiscale Modelling., Chapman and Hall, London (2010).
7. Oelz D., Schmeiser C., Small J. V.: Modelling of the actin-cytoskeleton in symmetric lamellipodial fragments. Cell Adh. Migr. 2(2), 117-126 (2008).