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Mathematical
modeling of integrin dynamics in initial formation of focal
adhesions
Aurora Blucher, Michelle Salas, Nicholas Williams and Hannah L. Callender
Vol. 7 (2014), No. 4, 509–527
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Abstract |
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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. |
Keywords
cellular motility, mathematical modeling, focal adhesions,
Gillespie's algorithm, integrin receptor, sensitivity
analysis
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Mathematical Subject Classification 2010
Primary: 92C17, 92C37
Secondary: 90C31
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Milestones
Received: 8 January 2013
Revised: 25 August 2013
Accepted: 29 August 2013
Published: 31 May 2014
Communicated by Michael Dorff
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Authors |
| Aurora Blucher | |
| Department of Mathematics University of Portland 5000 N. Willamette Boulevard Portland, OR 97203 United States |
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| Michelle Salas | |
| Department of Biology University of Portland 5000 N. Willamette Boulevard Portland, OR 97203 United States |
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| Nicholas Williams | |
| School of Engineering University of Portland 5000 N. Willamette Boulevard Portland, OR 97203 United States |
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| Hannah L. Callender | |
| Department of Mathematics University of Portland 5000 N. Willamette Boulevard Portland, OR 97203 United States |
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