@article{banks_hu_link_rosenberg_mitsuma_rosario_2016, title={Modelling immune response to BK virus infection and donor kidney in renal transplant recipients}, volume={24}, ISSN={["1741-5985"]}, DOI={10.1080/17415977.2015.1017484}, abstractNote={In this paper, we develop and validate with bootstrapping techniques a mechanistic mathematical model of immune response to both BK virus infection and a donor kidney based on known and hypothesized mechanisms in the literature. The model presented does not capture all the details of the immune response but possesses key features that describe a very complex immunological process. We then estimate model parameters using a least squares approach with a typical set of available clinical data. Sensitivity analysis combined with asymptotic theory is used to determine the number of parameters that can be reliably estimated given the limited number of observations.}, number={1}, journal={INVERSE PROBLEMS IN SCIENCE AND ENGINEERING}, author={Banks, H. T. and Hu, Shuhua and Link, Kathryn and Rosenberg, Eric S. and Mitsuma, Sheila and Rosario, Lauren}, year={2016}, month={Jan}, pages={127–152} }
 @article{banks_banks_link_rosenheim_ross_tillman_2015, title={Model comparison tests to determine data information content}, volume={43}, ISSN={["0893-9659"]}, DOI={10.1016/j.aml.2014.11.002}, abstractNote={In the context of inverse or parameter estimation problems we demonstrate the use of statistically based model comparison tests in several examples of practical interest. In these examples we are interested in questions related to information content of a particular given data set and whether the data will support a more complicated model to describe it. In the first example we compare fits for several different models to describe simple decay in a size histogram for aggregates in amyloid fibril formation. In a second example we investigate whether the information content in data sets for the pest Lygus hesperus in cotton fields as it is currently collected is sufficient to support a model in which one distinguishes between nymphs and adults. Finally in a third example with data for patients having undergone an organ transplant, we question whether the data content is sufficient to estimate more than 5 of the fundamental parameters in a particular dynamic model.}, journal={APPLIED MATHEMATICS LETTERS}, author={Banks, H. T. and Banks, J. E. and Link, Kathryn and Rosenheim, J. A. and Ross, Chelsea and Tillman, K. A.}, year={2015}, month={May}, pages={10–18} }