In this paper we characterize the stability boundary in the (α1, α2)-plane, for fixed α3 with −1 < α3 < +1, for the characteristic equation from the title. Subsequently we describe a nonlinear cell population model involving quiescence and show that this characteristic equation governs the (in)stability of the nontrivial steady state. By relating the parameters of the cell model to the αi we are able to derive some biological conclusions.
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http://dx.doi.org/10.1007/s00285-015-0918-8 | DOI Listing |
Biogeochemistry
December 2024
Department of Natural Resources and the Environment, University of New Hampshire, 56 College Road, Durham, NH USA.
Unlabelled: Climate and atmospheric deposition interact with watershed properties to drive dissolved organic carbon (DOC) concentrations in lakes. Because drivers of DOC concentration are inter-related and interact, it is challenging to assign a single dominant driver to changes in lake DOC concentration across spatiotemporal scales. Leveraging forty years of data across sixteen lakes, we used structural equation modeling to show that the impact of climate, as moderated by watershed characteristics, has become more dominant in recent decades, superseding the influence of sulfate deposition that was observed in the 1980s.
View Article and Find Full Text PDFBMC Palliat Care
December 2024
Division of Radiation Oncology, Tom Baker Cancer Centre, 1331 29 Street NW, Calgary, T2N 4N2, Alberta, Canada.
Clin Neurophysiol
December 2024
REVAL - Rehabilitation Research Center, Faculty of Rehabilitation Sciences, University of Hasselt, Diepenbeek, Belgium.
Objective: Corticospinal excitability can be quantified using motor-evoked potentials (MEP) following transcranial magnetic stimulation (TMS). However, the inherent variability of MEPs poses significant challenges. We establish a framework using personal and experimental factors to select the optimal number of trials (n) required for reliable MEP estimates.
View Article and Find Full Text PDFJ Environ Manage
December 2024
College of Mechanical Engineering, Quzhou University, Quzhou, 324000, China.
Plastic blends were co-pyrolyzed under non-isothermal conditions in a thermogravimetric (TG) analyzer. The co-pyrolysis characteristics and kinetic triplet, i.e.
View Article and Find Full Text PDFJ Neurosurg Spine
December 2024
Departments of1Neurosurgery and.
Objective: Patients undergoing anterior/posterior lumbar fusion surgery can undergo either a single-stage or multistage operation, depending on surgeon preference. The goal of this study was to assess different patient outcomes between single-stage and multistage lumbar fusion procedures in a multicenter setting.
Methods: The Michigan Spine Surgery Improvement Collaborative database was queried for anterior/posterior lumbar fusion surgeries between July 2018 and January 2022.
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