Open Access
Translator Disclaimer
2014 Mathematical modeling of integrin dynamics in initial formation of focal adhesions
Aurora Blucher, Michelle Salas, Nicholas Williams, Hannah Callender
Involve 7(4): 509-527 (2014). DOI: 10.2140/involve.2014.7.509


Cellular motility is an important function in many cellular processes. Among the key players in cellular movement are transmembrane receptor proteins called integrins. Through the development of a mathematical model we investigate the dynamic relationship between integrins and other molecules known to contribute to initial cellular movement such as extracellular ligands and intracellular adhesion proteins called talin. Gillespie’s stochastic simulation algorithm was used for numerical analysis of the model. From our stochastic simulation, we found that most activity in our system happens within the first five seconds. Additionally we found that while ligand-integrin-talin complexes form fairly early in the simulation, they soon disassociate into ligand-integrin or integrin-talin complexes, suggesting that the former tertiary complex is less stable than the latter two complexes. We also discuss our theoretical analysis of the model and share results from our sensitivity analysis, using standardized regression coefficients as measures of output sensitivity to input parameters.


Download Citation

Aurora Blucher. Michelle Salas. Nicholas Williams. Hannah Callender. "Mathematical modeling of integrin dynamics in initial formation of focal adhesions." Involve 7 (4) 509 - 527, 2014.


Received: 8 January 2013; Revised: 25 August 2013; Accepted: 29 August 2013; Published: 2014
First available in Project Euclid: 20 December 2017

zbMATH: 1301.92026
MathSciNet: MR3239757
Digital Object Identifier: 10.2140/involve.2014.7.509

Primary: 92C17 , 92C37
Secondary: 90C31

Keywords: cellular motility , focal adhesions , Gillespie's algorithm , integrin receptor , mathematical modeling , sensitivity analysis

Rights: Copyright © 2014 Mathematical Sciences Publishers


Vol.7 • No. 4 • 2014
Back to Top