As decomposer organisms, pathogens, plant symbionts and nutrient cyclers, fungi are of fundamental importance in the terrestrial environment. Moreover, in addition to their well-known applications in industry, many species also have great potential in environmental biotechnology. The study of this important class of organisms is difficult through experimental means alone due to the heterogeneity of their natural growth habitat and the microscopic scale of growth. In this work we present a mathematical model for colony expansion that is derived through consideration of the growth characteristics on the microscale. The model equations are of mixed hyperbolic-parabolic type and are treated with a numerical scheme that preserves positivity and conserves mass. The numerical solutions are compared against experimental results in a variety of environments. Thus the effect of different translocation mechanisms on fungal growth and function are identified. The derivation and analysis of an approximation to the full model yields further results concerning basic properties of mycelial growth. Finally, the acidification of the growth habitat is considered and the model thus provides important predictions on the functional consequences of the redistribution of internally-located material.
Catheter-associated
urinary tract infection (CAUTI) presents a
significant health problem worldwide and is associated with increased
morbidity and mortality. Herein, a silver-polytetrafluoroethylene
(Ag-PTFE) nanocomposite coating for catheters was developed via a
facile wet chemistry method. Benefiting from the synergistic effect
of Ag and PTFE, the as-prepared Ag-PTFE-coated catheter exhibited
enhanced antibacterial and antiadhesive activities against two CAUTI-associated
strains: E. coli WT F1693 and S. aureus F1557. Compared to the uncoated commercial silicone catheters and
the Ag-coated catheters, the Ag-PTFE-coated catheters were able to
reduce bacterial adhesion by up to 60.3% and 55.2%, respectively.
The Ag-PTFE-coated catheters also exhibited strong antibiofilm activity,
reducing biofilm coverage by up to 97.4% compared with the commercial
silicone catheters. In an in vitro bladder model, the Ag-PTFE-coated
catheter displayed excellent anti-infection efficacy against bacteriuria,
extending the lifetime of silicone catheters from a mean of 6 days
to over 40 days. The Ag-PTFE coating also showed good biocompatibility
with fibroblast cells in culture, making it a prospective strategy
to overcome current challenges in CAUTI.
Faithful separation of chromosomes prior to cell division at mitosis is a highly regulated process. One family of serine/threonine kinases that plays a central role in regulation is the Aurora family. Aurora B plays a role in the spindle assembly checkpoint, in part, by destabilizing the localization of BubR1 and Mad2 at centrosomes and responds to changes in tension caused by aberrant microtubule kinetochore attachments. Aurora B is overexpressed in a subset of cancers and is required for mitosis, making it an attractive anticancer target. Here, we use mathematical modeling to extend a current model of the spindle assembly checkpoint to incorporate all signaling kinetochores within a cell rather than just one and the role of Aurora B within the resulting model. We find that the current model of the spindle assembly checkpoint is robust to variation in its key diffusion-limited parameters. Furthermore, when Aurora B inhibition is considered within the model, for a certain range of inhibitor concentrations, a prolonged prometaphase/metaphase is observed. This level of inhibitor concentrations has not yet been studied experimentally, to the authors' best knowledge. Therefore, experimental verification of the results discussed here could provide a deeper understanding of how kinetochores and Aurora B cooperate in the spindle assembly checkpoint. mathematical | mitosis | kinetochore | metazoan | cell cycle
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