Spectral analysis of unequally spaced sampled time series

Abstract

The diurnal excretion patterns of several electrolytes and urea were studied in 5 freely moving rats on an elemental diet (Vivonex) administered either orally or as a continuous intragastric feeding; the lights were on from 07.00–19.00 h and off from 19.00–07.00 h. During continuous feeding the diurnal rhythms persisted, although the amplitude was lower than during oral feeding. The maximum excretion rates of potassium, phosphate and urea all coincided under both feeding regimens. The time of the maximum calcium excretion rate coincided with that of sodium during oral feeding but not during continuous feeding. During continuous feeding the maximum calcium excretion rate shifted from 04.00 to 10.00 h. The diurnal excretion of magnesium during continuous feeding was abolished, possibly as a result of the low calcium intake. From this study it can be concluded that duringcontinuous intragastric feeding all of the studied excretion patterns persist, with the exception of magnesium, which indicates that these rhythms are not merely the result of the intermittent intake of food and minerals.     

The influence of intravenous infusion of electrolytes on the diurnal excretory rhythms

In freely moving rats the diurnal variation in electrolyte excretion was studied. Food was available during either the dark or the light period. The lights were on from 0800–2000; the dark phase extended from 2000–0800 hrs. The electrolyte excretory rhythms were studied during a control period, in which the minerals were present in the food, and during experimental periods, when successive minerals were not present in the food but were instead given by constant intravenous infusion. For both groups the excretory rhythms of K, Mg and P persisted during continuous infusion but the times of maximum and minimum excretion differed. Day-fed animals exhibited a remarkable decrease in amplitude during the mineral infusion period. In contrast, the calcium excretory pattern was only influenced by the feeding period.     

Effect of various chloride salts on the utilization of phosphorus, calcium, and magnesium

Only part of the effect of dietary protein on urinary calcium excretion can be ascribed to sulfur amino acids. We hypothesized that chloride, another factor often associated with isolated proteins, and another amino acid, lysine, affect utilization of calcium. The effects of supplemental dietary chloride, inorganic or organic, on calcium, phosphorus, and magnesium utilization were studied in two rat studies. Weanling Sprague-Dawley rats were fed semi-purified diets that contained moderate (1.8 mg Cl/g diet) or supplemental (15.5 mg Cl/g diet) chloride as sodium chloride, potassium chloride, or lysine monohydrochloride with or without calcium carbonate for 56 or 119 days. Rats fed supplemental sodium chloride or potassium chloride had higher urinary phosphorus excretion, more efficient phosphorus absorption, but unchanged tissue phosphorus levels after 7 and 16 weeks of dietary treatment as compared to rats fed moderate chloride. Rats fed supplemental sodium chloride or potassium chloride excreted more calcium in urine at 7 weeks and absorbed calcium less efficiently at 16 weeks. Tissue calcium concentrations were unaffected, but total tibia magnesium and plasma magnesium concentrations were lower in rats fed supplemental sodium chloride or potassium chloride than those fed moderate chloride. Lysine chloride with or without additional calcium elevated urinary calcium excretion even more than sodium chloride and potassium chloride ingestion. Rats fed lysine chloride with supplemental calcium had smaller apparent absorption and urinary losses of phosphorus and magnesium after 16 weeks and lower tibia and plasma magnesium concentrations than rats fed lysine chloride.     

The effect of vasopressin upon the excretion of calcium by the sheep.

Vasopressin (140 muU/min) was infused intravenously into 12 conscious merino ewes for 2 hr. Urine flow rate and free water clearance were consistently reduced. There was no effect upon renal plasma flow, glomerular filtration rate or the rate of excretion of sodium, potassium, magnesium, chloride or phosphate. Although all animals received 75 mmol calcium chloride into the rumen on the previous day, five commenced the experiment with calcium excretion rates of less than 1 mumol/min. In these, vasopressin further decreased calcium excretion. In seven animals with calcium excretion rates between 2 and 20 mumol/min vasopressin had no effect upon either total calcium or free ionized calcium excretion rate.     

A transient increase in renal clearance of phosphate in response to continuous infusion of salmon calcitonin in rats.

The effects of intravenous carrier-free salmon calcitonin on renal clearances of phosphate, calcium, magnesium, sodium and potassium were studied in male parathyroid-ectomized (PTX) and intact rats. Both natural and synthetic hormone, when infused at constant rates (0.005 approximately 0.5 MRC U/hr), produced a rapid increase (peaking at about 60-90 min) in phosphate clearance. However, the maximal increase was transient in nature in PTX rats. In intact rats, the phosphaturic response was somewhat more pronounced and the decline after the peak was rather modest. When a large amount (4 MRC U) of calcitonin was given in divided doses, the second dose produced a lesser extent of phosphaturia in both intact and PTX rats. The phosphaturic response was accompanied by an increase in sodium and potassium clearances in PTX rats and by an increase in potassium clearance in intact rats. A fall in the apparent clearance values for calcium and magnesium occurred and was maintained throughout the infusion period of hormone in both intact and PTX rats. In conclusion, PTX rats respond to the intravenous administration of salmon calcitonin with a transient phosphaturic response which is accompanied by parallel diuresis of sodium and potassium along with sustained retention of calcium and magnesium by the kidney.     

Diurnal variations in inducibility of rat liver tyrosine aminotransferase activity.

The activity of tyrosine aminotransferase (TAT) was measured in the livers of rats which were entrained to eat for the first 2 hours of a daily 12 hour dark period (‘2+22’ schedule) and were treated with the synthetic glucocorticoid dexamethasone and with glucagon at several times of day. TAT activity in untreated animals varies diurnally with a maximum 4 to 6 hours after the beginning of feeding. In both fed and fasted rats there was a small diurnal variation in inducibility by dexamethasone: in fed rats induction was greatest near the beginning of the dark period, shortly after feeding; in fasted rats induction increased towards the end of the dark period. Glucagon induction showed a marked diurnal variation in fed rats with a decrease coincident with the decline in control TAT activity after its food-induced peak. This variation did not appear to be depemdent on food intake, however, since the decline in inducibility occurred in fasted rats at the same time as in fed rats. Co-treatment with dexamethasone did not affect the decrease in glucagon inducibility. The diurnal variation in TAT induction may reflect a diurnal rhythm in the components of the enzyme synthesizing system (e.g. in the availability of mRNA or in enzyme degradation).     

Content and deposition of major mineral elements in different tissues and empty body of growing bulls of the german simmental breed

54 bulls of the German Simmental breed were fed either on a high energy level (maize silage ad libitum and 1.8 kg concentrate) or on a low energy level (maize silage restrictively and 1.0 kg concentrate). In dependence on feeding intensity a mean daily weight gain of 870 or 1210 g was obtained. Animals were slaughtered with a live mass of 200 kg, 350 kg, 500 kg, 575 kg and 650 kg. Empty body was divided into 13 cuts and afterwards separated into lean, bone and adipose tissues and tendons. Major mineral element content was determined in these tissues as well as in the noncarcass parts.

In the lean tissue the mean content (200 kg) of 0.3 g calcium, 10 g phosphorus, 1 g magnesium, 2.3 g sodium and 14.8 g potassium/kg dry matter decreased slightly with rising live mass (200–650 kg). The contents of major mineral elements were much higher in bone tissue. For the fattening period from 200 to 650 kg of live mass mean contents of 151.5 g calcium, 71.3 g phosphorus, 3.2 g magnesium, 5.1 g sodium and 1.1 g potassium per kg DM were analysed. Mineral element content of bone tissue increased with rising live mass as well as animals on low feeding intensity showed a higher mineral content than on high energy level. In all, major mineral element content in fat tissue was very low. In noncarcass parts head and legs calcium and phosphorus had analogous to bone tissue the highest concentration. Hide showed a high content of sodium, whereas organs and digestive tract had a high content of potassium and phosphorus. Total mass of major mineral elements in the different tissues increased above all in the fattening period of 200 to 350 kg. In carcass as well as in empty body, mass of calcium and phosphorus was much higher than magnesium, sodium and potassium. Also animals on low feeding intensity showed a higher mass of major mineral elements in carcass and empty body than animals on high energy feeding intensity. The intensively fed bulls had a mean deposition of 12.7 g calcium, 6.9 g phosphorus, 0.37 g magnesium, 1.2 g sodium and 2.1 potassium per 1000 g of empty body weight gain, whereas restrictively fed bulls deposited in average 15.0 g calcium, 7.8 g phosphorus, 0.4 g magnesium, 1.2 g sodium and 2.4 g potassium per 1000 g of empty body weight gain.     

Influence of Feeding Paradigm in Rats on Temporal Pattern of: I. Macronutrient Intake and Arterio-Venous Differences in Plasma Glucose,Insulin and Tryptophan

Relationships among feeding paradigm (single diet vs food selection) and arterio-venous differences (δAV) of glucose, insulin and tryptophan were studied by measuring the temporal patterns of food intake and plasma parameters during 8 hr feeding cycles in rats. Adult male Sprague-Dawley rats were offered a single diet of fixed composition (20% casein) or a choice between two isocaloric diets (0% and 60% casein) for 2 weeks under 8-hr daily feeding conditions, food being offered during the dark cycle. Groups of animals were then killed at the beginning and at 2-hourly intervals throughout the feeding period. With both feeding paradigms, rats showed temporal patterns of energy, carbohydrate and protein intakes with a peak at the beginning and a trough at the end of the feeding period. However, in rats offered a dietary choice the intake of carbohydrate was significantly lower, and the intakes of energy and protein significantly higher than those found in rats offered a single diet. Throughout the feeding period, these differences between single and choice diets became less accentuated in the case of carbohydrate intake, but more accentuated for energy and protein intakes. Paradoxically, rats fed a choice of diets had a significantly lower weight gain than rats fed a single diet. The temporal variation of insulin secretion and tryptophan absorption varied inversely with the two diet paradigms. Moreover, in rats offered a choice of diets, macronutrient intake was significantly correlated with insulin secretion and venous glucose concentration. The opposed physiologic and metabolic responses to the feeding paradigms suggest the need for future studies to examine the possibility that such can function as synchronizers of biological rhythms.     

Influence of Feeding Paradigm in Rats on Temporal Pattern of: I. Macronutrient Intake and Arterio-Venous Differences in Plasma Glucose, Insulin and Tryptophan

Relationships among feeding paradigm (single diet vs food selection) and arterio-venous differences (δAV) of glucose, insulin and tryptophan were studied by measuring the temporal patterns of food intake and plasma parameters during 8 hr feeding cycles in rats. Adult male Sprague-Dawley rats were offered a single diet of fixed composition (20% casein) or a choice between two isocaloric diets (0% and 60% casein) for 2 weeks under 8-hr daily feeding conditions, food being offered during the dark cycle. Groups of animals were then killed at the beginning and at 2-hourly intervals throughout the feeding period. With both feeding paradigms, rats showed temporal patterns of energy, carbohydrate and protein intakes with a peak at the beginning and a trough at the end of the feeding period. However, in rats offered a dietary choice the intake of carbohydrate was significantly lower, and the intakes of energy and protein significantly higher than those found in rats offered a single diet. Throughout the feeding period, these differences between single and choice diets became less accentuated in the case of carbohydrate intake, but more accentuated for energy and protein intakes. Paradoxically, rats fed a choice of diets had a significantly lower weight gain than rats fed a single diet. The temporal variation of insulin secretion and tryptophan absorption varied inversely with the two diet paradigms. Moreover, in rats offered a choice of diets, macronutrient intake was significantly correlated with insulin secretion and venous glucose concentration. The opposed physiologic and metabolic responses to the feeding paradigms suggest the need for future studies to examine the possibility that such can function as synchronizers of biological rhythms.     

Mineralization in rat metaphyseal bone exhibits a circadian stage dependency

Density gradient fractionation analysis of rat metaphyseal bone was used to delineate the biorhythmic changes in bone matrix mineralization. Seventy-two 4-week-old rats were entrained to 12-hr light, 12-hr dark cycles (light, 0800-2000 hr; darkness, 2000-0800 hr) for 4 weeks. All animals were fed ad lib. on Purina laboratory rat chow and tap water. Groups of 10-12 rats were killed by cervical dislocation at 4-hr intervals during a 24-hr period, and the tibias were then biopsied and frozen in liquid N2. Metaphyseal bone was fractionated via bromoformtoluene density gradients into specific gravity fractions ranging from 1.7 to 2.8. Density gradient fractions were analyzed for concentrations of calcium and inorganic phosphorus. Chronograms indicated that the accumulation of both calcium and inorganic phosphorus into the newly forming/least-dense mineral moieties of bone (1.3-1.7 sp grav) showed a single peak in the biorhythm of the rat. A statistically significant circadian rhythm of mineralization was detected for calcium (P less than 0.001) and inorganic phosphorus (P less than 0.039), with peaks during the environmental dark span. These results suggest that the physiological phasing of bone mineralization in the light-dark synchronized rat, is similar to that previously noted for cartilage mineralization and is antiphasal to the midday peak in bone collagen synthesis.     

Circadian Rhythms of Plasma Concentrations of Na+ and K+ and Their Urinary Excretion in Normal and Diabetic Rats

The effects of streptozotocin induced diabetes (50 mg/Kg) on the circadian rhythms in the excretion of sodium and potassium as well as their plasma concentration rhythms were investigated. Control (C) and diabetic (D) rats were studied during a light-dark (12h:12h) cycle and fed ad libitum. Statistically significant circadian rhythms were found for sodium and potassium excretion in C rats. The orthophases of both rhythms occurred in the dark phase, the potassium one occurring before that of sodium. In D rats there is increased excretion of both sodium and potassium with the rhythmicity maintained for sodium excretion only, which has an earlier orthophase than in the C rats. Plasma sodium and potassium concentrations showed a statistically significant circadian pattern in C rats, with orthophase in the light phase. This rhythmicity only appears in plasma potassium concentration for D rats, with orthophase at the end of the dark phase. The results in diabetic rats may suggest that the glomerular filtration rate (GFR) and/or tubular reabsorption rhythms are still contributing to the sodium excretory rhythm, and that the loss of the circadian rhythm in sodium plasma concentration has no influence on the sodium excretion rhythm. Nevertheless, the loss of the potassium excretion rhythm may suggest a disruption of the variations in the secretory process, as this excretion seems to be independent of the plasma potassium concentration rhythm, which is not lost in D rats.     

Circadian Rhythms of Plasma Concentrations of Na+ and K+ and Their Urinary Excretion in Normal and Diabetic Rats

The effects of streptozotocin induced diabetes (50 mg/Kg) on the circadian rhythms in the excretion of sodium and potassium as well as their plasma concentration rhythms were investigated. Control (C) and diabetic (D) rats were studied during a light-dark (12h:12h) cycle and fed ad libitum. Statistically significant circadian rhythms were found for sodium and potassium excretion in C rats. The orthophases of both rhythms occurred in the dark phase, the potassium one occurring before that of sodium. In D rats there is increased excretion of both sodium and potassium with the rhythmicity maintained for sodium excretion only, which has an earlier orthophase than in the C rats. Plasma sodium and potassium concentrations showed a statistically significant circadian pattern in C rats, with orthophase in the light phase. This rhythmicity only appears in plasma potassium concentration for D rats, with orthophase at the end of the dark phase. The results in diabetic rats may suggest that the glomerular filtration rate (GFR) and/or tubular reabsorption rhythms are still contributing to the sodium excretory rhythm, and that the loss of the circadian rhythm in sodium plasma concentration has no influence on the sodium excretion rhythm. Nevertheless, the loss of the potassium excretion rhythm may suggest a disruption of the variations in the secretory process, as this excretion seems to be independent of the plasma potassium concentration rhythm, which is not lost in D rats.     

Circadian variation in renal function of the obese rat.

The influence of food and water intake on renal function was assessed by comparisons between the hyperphagic Zucker obese rat and its lean littermate, which demonstrates nocturnal dominance in activity. Serum creatinine and cortisol levels, creatine kinase activities, creatinine and urine clearances, and sodium and potassium excretion rates were measured over a 24-hour period in both lean and obese rats (n = 24 each). Six rats in each group were studied every 8 h to permit characterization over a 12-hour light/dark cycle at 2-hour intervals. Urine and creatinine clearances were increased in lean rats during the dark phase coincident with onset of eating. Similarly, renal sodium and potassium excretion rates were markedly increased during the dark cycle, despite relatively constant serum potassium and sodium levels over the 24-hour period. In contrast, no circadian patterns in urine and creatinine clearances were found in the obese rat, which exhibits continuous feeding habits throughout the 24-hour period. Moreover, renal electrolyte excretion in the obese rat was modestly increased during the dark cycle, unlike the significant differences over time observed in lean rats. Serum creatinine levels were increased during the dark cycle in both rat groups. Creatine kinase activity, a measure of ambulatory activity, was constant in lean rats during the study period. Although creatine kinase activity was increased in obese rats during the dark cycle, no correlations with renal functional parameters were found. These results indicate that differences in food and water intake are significant determinants in diurnal cyclic changes in renal function.     

Influence of Medetomidine on Acid-base Balance and Urine Excretion in Goats

Seven goats were given medetomidine 5 μg/kg as an iv bolus injection. Venous blood samples were taken repeatedly and urine was collected continuously via a catheter up to 7h after the injection. Medetomidine caused deep clinical sedation. Base excess, pH and PCO2 in venous blood rose after medetomidine administration. There were no significant changes in plasma concentrations of sodium, calcium, magnesium, creatinine or osmolality, whereas potassium and bicarbonate concentrations increased, and phosphate and chloride decreased. Medetomidine increased plasma glucose concentration, and in 4 of 7 goats glucose could also be detected in urine. Medetomidine did not influence urine flow rate, free water clearance, bicarbonate and phosphate excretion or pH, but renal chloride, sodium, potassium, calcium, magnesium and creatinine excretion were reduced. The results suggest that the metabolic alkalosis recorded after medetomidine administration is not caused by increased renal acid excretion.     

The effect of magnesium deficiency on serum aldosterone in rats fed two levels of sodium.

Rats were fed 47 (deficient) and 606 ppm (adequate) magnesium with either 2,100 or 14,000 ppm sodium. Serum corticosterone and aldosterone levels were determined by randoimmunoassay in six rats from each treatment group killed on days 7, 14, and 28 of consumption of the experimental diets. Serum corticosterone levels were moderately, but not significantly, decreased in magnesium deficient animals. Serum aldosterone levels increased over time in the rats fed the lower sodium diet with adequate magnesium and were further elevated in magnesium deficient animals. In sodium loaded rats the increase in aldosterone levels in magnesium deficiency was less and occurred later. Retention and urinary excretion of sodium and potassium did not appear to be affected by magnesium status or the serum concentration of aldosterone. Possible mechanisms underlying the changes in aldosterone levels of magnesium depleted animals are discussed with reference to the known effects of magnesium deficiency on physiological functions.     

Plasma Corticosterone, Motor Activity and Metabolic Circadian Patterns in Streptozotocin-Induced Diabetic Rats

Experiments were conducted in male rats to study the effects of streptozotocin-induced diabetes on circadian rhythms of (a) plasma corticosterone concentrations; (b) motor activity; and (c) metabolic patterns. Animals were entrained to LD cycles of 12: 12 hr and fed ad libitum.

A daily rhythm of plasma corticosterone concentrations was found in controls animals with peak levels at 2400 hr and low values during the remaining hours. This rhythm was statistically confirmed by the cosinor method and had an amplitude of 3.37μg/100 ml and the acrophase at 100 hr. A loss of the normal circadian variation was observed in diabetic animals, with a nadir at the onset of light period and high values throughout the remaining hours; cosinor analysis of these data showed no circadian rhythm, delete and a higher mean level than controls.

As expected, normal rats presented most of their motor activity during the dark period with 80+ of total daily activity; the cosinor method demonstrated a circadian rhythm with an amplitude of 60+ of the mean level and the acrophase at 0852 hr. Both diabetic and control rats showed a similar activity during the light phase, but diabetic animals had less activity than controls during the night and their percentage of total daily activity was similar in both phases of the LD cycle (50+ for each one). With the cosinor method we were able to show the persistence of a circadian rhythm in the motor activity of diabetic rats, but with a mesor and amplitude lower than in controls (amplitude rested at 60+ of the mean level) and its acrophase advanced to 0148 hr.

The metabolic activity pattern of diabetic rats also changed: whereas controls showed a greater metabolic activity during the night (70+ food; 82+ water; 54+ urine; 67+ faeces), diabetics did not show differences between both phases of the LD cycle. Water ingested and urine excreted by the diabetic group were higher than normal during light and dark periods; food consumed and faeces excreted were higher than controls only in the light phase.

These data suggest that alterations in circadian rhythms of plasma corticosterone and motor activity are consecutive to the loss of the feeding circadian pattern, due to polyphagia and polydipsia showed by these animals, which need to extend intakes during the light and dark phases.     

Changes in N-acetyl-beta-D-glucosaminidase activity in the urine and urinary albumin excretion in magnesium deficient rats

To discover the details of the effects of magnesium (Mg) deficiency on kidney function, the course of changes in N-acetyl-beta-D-glucosaminidase (NAG) activity in the urine and in urinary albumin excretion were examined in rats fed a Mg-deficient diet. NAG activity in the urine and urinary albumin excretion in rats fed the Mg-deficient diet significantly increased from 7 d until the end of the feeding period. We suggest that Mg-deficient diet rapidly induces kidney function insufficiency.     

Melatonin and corticosterone regulation: Feeding time or the light:Dark cycle?

Under ad libitum feeding, male rats exhibit a marked rhythm of plasma and pineal melatonin; levels are low during the day and high at night. Restricting food availability to a 2 hour period during the light or dark does not markedly influence the melatonin rhythm, both groups having a crest in circulating melatonin during the dark. In contrast, plasma corticosterone levels are influenced by both the light-dark cycle and feeding. Animals fed early in the light period exhibit a biomodal corticosterone secretory pattern, with high steroid levels immediately prior to feeding and again just before lights-out, animals fed early in the dark have a single crest, just before food presentation. These data provide evidence for the dissociation of melatonin and corticosterone secretory patterns, providing support for the hypothesis that multiple regulators control neuroendocrine rhythmicity.     

Nitrogen excretion in rats on a protein-free diet and during starvation

Nitrogen balances (six days) were determined in male Wistar rats during feeding a diet with sufficient protein or a nearly protein-free diet (n = 2 x 24), and then during three days of starvation (n = 2 x 12). The objective was to evaluate the effect of protein withdrawal on minimum nitrogen excretion in urine (UN), corresponding to endogenous UN, during feeding and subsequent starvation periods. The rats fed the protein free-diet had almost the same excretion of urinary N during feeding and starvation (165 and 157 mg/kg W(0.75)), while it was 444 mg/kg W(0.75) in rats previously fed with protein, demonstrating a major influence of protein content in a diet on N excretion during starvation. Consequently, the impact of former protein supply on N losses during starvation ought to be considered when evaluating minimum N requirement necessary to sustain life.     

Relationship of blood concentrations of calcium, phosphate, gastrin and calcitonin to the onset of feeding in the rat.

Daily fluctuations in plasma calcium concentrations in rats trained to a closely regulated feeding pattern have been compared to corresponding plasma gastrin and calcitonin concentrations. The time period studied was that extending from 4 hr prior to the start of the feeding. Both plasma calcium and phosphate levels fedd prior to the start of the feeding period and remained low at least for the first 2 hr of feeding. This pattern was also observed in rats in which food was withheld for 2 hr past the regular feeding time. Plasma 45Ca and 32P concentrations (radionuclide injected at least one week prior to sampling) did not follow the pattern of their stable counterparts. Instead, these values rose or remained constant until after feeding had commenced, after which they fell precipitously. Both plasma calcitonin and gastrin levels rose rapidly after the start of the feeding period. The primary point of emphasis is that calcitonin secretion was produced in these rats by an intestinal related stimulus and not by a rise in plasma calcium concentration.