On the asymptotic regime of a model for friction mediated by transient elastic linkages

Journal des Mathematiques Pures et Appliquees

Volumn 96, Issue 5, 2011, Pages 484-501

  Milišić, Vuk ^a,b   Oelz, Dietmar ^c  

^a UNIVERSITÉ PARIS 13   (France)

^b Vienna University   (Austria)

^c Johann Radon Institute for Computational Applied Mathematics (RICAM)   (Austria)

Author keywords

Cell adhesion; Comparison principle; Effect of chemical bonds; Friction coefficient; Integral equation; Lyapunov functional; Protein linkages; Renewal equation; Volterra kernel

Indexed keywords

EID: 80053643534     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matpur.2011.03.005     Document Type: Article

References (8)

1. Gripenberg G., Londen S.-O., Staffans O. Volterra Integral and Functional Equations. Encyclopedia of Mathematics and Its Applications 1990, vol. 34. Cambridge University Press, Cambridge.
2. The CRC Handbook of Mechanical Engineering 2004, CRC. second edition. F. Kreith, D.Y. Goswami, B.I. Sandor (Eds.).
3. Kress R. Linear Integral Equations. Applied Mathematical Sciences 1999, vol. 82. Springer-Verlag, New York. second edition.
4. Michel P., Mischler S., Perthame B. General relative entropy inequality: an illustration on growth models. J. Math. Pures Appl. (9) 2005, 84(9):1235-1260.
5. Oelz D., Schmeiser C. How do cells move? Mathematical modelling of cytoskeleton dynamics and cell migration. Cell Mechanics: From Single Scale-Based Models to Multiscale Modelling 2010, Chapman and Hall/CRC Press. A. Chauviere, L. Preziosi, C. Verdier (Eds.).
6. Oelz D., Schmeiser C., Small V. Modelling of the actin-cytoskeleton in symmetric lamellipodial fragments. Cell Adhes. Migration 2008, 2:117-126.
7. Perthame B. Transport Equations in Biology. Frontiers in Mathematics 2007, Birkhäuser Verlag, Basel.
8. Polyanin A.D., Manzhirov A.V. Handbook of Integral Equations 1998, CRC Press, Boca Raton, FL.