Sensitivity analysis for stochastic and deterministic models of nascent focal adhesion dynamics

Author:

Biegel Hannah R.1,Quackenbush Alex1,Highlander Hannah Callender2ORCID

Affiliation:

1. Departments of Mathematics and Biology, University of Portland, 5000 North Willamette Boulevard, Portland, Oregon 97203, USA

2. Department of Mathematics, University of Portland, 5000 North Willamette Boulevard, Portland, Oregon 97203, USA

Abstract

Sensitivity analysis (SA) is a critical part of modeling any biological system due to the inherent uncertainty in model output, as introduced by parameter values that have not been experimentally determined. SA therefore provides deeper understanding of the system by painting a picture of the extent to which certain model outputs vary in relationship to changes in model parameters. Here we explore two types of global SA for recently developed models of nascent focal adhesion formation, a key step in cellular movement. While many SA methods have been used for deterministic methods, we utilize methods for both stochastic and deterministic models, providing a more complete description of the parameters to which the focal adhesion model is most sensitive. Specific recommendations for further experimentation in the process of cellular motility are proposed in response to the SA.

Funder

University of Portland Butine Grant

University of Portland Student Development Fund

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

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