Three-factor models versus time series models:quantifying time-dependencies of interactions between stimuli in cell biology and psychobiology for short longitudinal data

Signal integration determines cell fate on the cellular level, affects cognitive processes and affective responses on the behavioural level, and is likely to be involved in psychoneurobiological processes underlying mood disorders. Interactions between stimuli may subjected to time effects. Time-dependencies of interactions between stimuli typically lead to complex cell responses and complex responses on the behavioural level. We show that both three-factor models and time series models can be used to uncover such time-dependencies. However, we argue that for short longitudinal data the three factor modelling approach is more suitable. In order to illustrate both approaches, we re-analysed previously published short longitudinal data sets. We found that in human embryonic kidney 293 cells cells the interaction effect in the regulation of extracellular signal-regulated kinase (ERK) 1 signalling activation by insulin and epidermal growth factor is subjected to a time effect and dramatically decays at peak values of ERK activation. In contrast, we found that the interaction effect induced by hypoxia and tumour necrosis factor-alpha for the transcriptional activity of the human cyclo-oxygenase-2 promoter in HEK293 cells is time invariant at least in the first 12-h time window after stimulation. Furthermore, we applied the three-factor model to previously reported animal studies. In these studies, memory storage was found to be subjected to an interaction effect of the beta-adrenoceptor agonist clenbuterol and certain antagonists acting on the alpha-1-adrenoceptor / glucocorticoid-receptor system. Our model-based analysis suggests that only if the antagonist drug is administer in a critical time window, then the interaction effect is relevant.

Investigations of the site and mechanisms of drug-induced reductions in the reabsorption of divalent cations by the kidney

Disturbances in electrolyte homeostasis are a frequent adverse side-effect of the administration of aminoglycoside antibiotics such as gentamicin, and the antineoplastic agent cis-platinum. The aims of this work were to further elucidate the site(s) and mechanism(s) by which these drugs may produce disturbances in the renal reabsorption of calcium and magnesium. These investigations were undertaken using a range of in vivo and in vitro techniques and models. Initially, a series of in vivo studies was conducted to delineate aspects of the acute and chronic effects of both drugs on renal electrolyte handling and to select and evaluate an appropriate animal model: subsequent investigations were focused on gentamicin. In a study of the acute and chronic effects of cis-platinum administration, there were pronounced acute changes in a variety of indices of nephrotoxic injury, including electrolyte excretion. Most effects resolved but there were chronic increases in the urinary excretion of calcium and magnesium. The renal response of three strains of rat (Fischer 344, Sprague-Dawley (SD), and Wistar) to a ranges of doses of gentamicin was also investigated. Drug administration produced substantially different responses between strains, in particular marked differences in calcium and magnesium excretion. The results suggested that the SD rat was an appropriately sensitive strain for use in further investigations. Acute infusion of gentamicin in the anaesthetised SD rat produced rapid, substantial increases in the fractional excretion of calcium and magnesium, while sodium and potassium output were unaffected, confirming previous results of similar experiments using F344 rats. Studies using lithium clearance measurements in the anaesthetised SD rat were undertaken to investigate the effects of gentamicin on proximal tubular calcium reabsorption. Lithium clearance was unaffected by acute gentamicin infusion, suggesting that the site of acute gentamicin-induced hypercalciuria may not be located in the proximal tubule. Inhibition of Ca2+ ATPase activity was investigated as a potential mechanism by which calcium reabsorption could be affected after aminoglycoside administration. In vitro, both Ca2+ ATPase and Na+/K+ ATPase activity could be similarly inhibited by the presence of aminoglycosides, in a dose-related manner. Whilst inhibition of Na+/K+ ATPase could be demonstrated biochemically after in vivo administration of gentamicin, there were no concurrent effects on Ca2+ ATPase activity, suggesting that inhibition of Ca2+ ATPase activity is unlikely to be a primary mechanism of aminoglycoside-induced reductions of calcium reabsorption. Histochemical studies could not discern inhibition of either Na+/K+ ATPase or Ca2+ ATPase activity after in vivo administration of gentamicin. Selection of renal cell lines for further investigative in vitro studies on the mechanisms of altered cation reabsorption was considered using MTT (3-(4,5,-dimethylthiazol-2-yl)-2,5-diphenyltetrazolium bromide) and Neutral Red cytotoxicity assays. The ability of LLC-PK1 and LLC-RK1 cell lines to correctly rank a series of nephrotoxic compounds with their known nephrotoxic potency in vivo was studied. Using these cell lines grown on semi-permeable inserts, alterations in the paracellular transport of 45Ca was investigated as a possible mechanism by which gentamicin could alter calcium reabsorption in vivo. Short term exposure (I h) of LLC-RK1 cells to gentamicin, via both cell surfaces, resulted in a reduction in paracellular permeability to both transepithelial 3H-mannitol and 45Ca fluxes. When LLC-RK1 cells were exposed via the apical surface only, similar dose-related reductions were seen to those observed when cells were exposed to the drug from both sides. Short-term basal exposure to gentamicin appeared to contribute less to the observed reductions in 3H-mannitol and 45Ca fluxes. Experiments investigating transepithelial movement of 45Ca and 3H-mannitol on LLC-PK1 cells after acute gentamicin exposure were inconclusive. Longer exposure (48 h) to gentamicin caused an increase in the permeability of the monolayer and a consequent increase in transepithelial 45Ca flux in the LLC-RK1 cell line; increases in permeability of LLC-PK1 cells to 45Ca and 3H-mannitol were not apparent under the same conditions. The site and mechanism at which gentamicin, in particular, alters calcium reabsorption cannot be definitively described from these studies. However, indirect evidence from lithium clearance studies suggests that the site of the lesion is unlikely to be located in the proximal tubule. The mechanism by which gentamicin exposure alters calcium reabsorption may be by reducing paracellular permeability to calcium rather than by altering active calcium transport processes.