Fluid and electrolyte balance during indoor tennis match play

Fluid intake, electrolyte balance, and effort intensity during one best of three set indoor singles tennis match (17 ± 2°C, 42 ± 9% humidity) was measured in 16 male University tennis players. Sweat samples were collected through application of an absorbent sweat patch to the forearm, calf, thigh and back of each player. Effort intensity was measured through comparisons of on-court heart rates to data obtained from a maximal treadmill test. The mean sweat loss was 1219 ± 417 ml, mean fluid intake was 1087 ± 625 ml (players replaced on average 89% of fluid lost), mean whole body sweat rate was 0.72 ± 0.26 l/h and no significant body mass loss was observed from pre to post match. However, a large inter-individual variability existed (range 0.43 - 1.28 l/h). 15 out of 16 players chose to consume water during their match; and these fluid intake choices were sufficient to on the whole maintain plasma sodium levels. Two players provided pre-match urine samples above 900 mOsmol/kg while another four provided samples approaching this level, indicating some players were hypohydrated prior to match play. The mean sweat sodium concentration was 41 ± 15 mmol/l suggesting lower heat acclimation statuses than in players competing at warmer environments, and total sodium losses during match play were 1.12 ± 0.45 g (range 0.46 – 1.93 g). Again, large individual variations existed. On average, dietary and on-court electrolyte intake exceeded electrolyte loss during match play by a considerable margin, but in some player’s there was not a great difference. Muscle cramping could occur if players fail to adequately replace both fluid and electrolyte losses that occur during match play, even in a comfortable indoor environment. Finally, indoor match play largely consisted of moderate intensity exercise, below ventilatory threshold, with a smaller high intensity contribution. This study showed that in cool ambient conditions, sweat rates reached 1.28 l/h, and players ingested sufficient fluid to replace 89 ± 47% of sweat losses, suggesting that contrary to footballers, runners, and in some other sports, fluid replacement is easier to achieve in tennis due to the regular breaks in match play

Analytic Torsion on Hyperbolic Manifolds and the Semiclassical Approximation for Chern-Simons Theory

The invariant integration method for Chern-Simons theory for gauge group SU(2) and manifold \Gamma\H^3 is verified in the semiclassical approximation. The semiclassical limit for the partition function associated with a connected sum of hyperbolic 3-manifolds is presented. We discuss briefly L^2 - analytical and topological torsions of a manifold with boundary.Comment: 12 pages, LaTeX fil

Mean curvature flow in a Ricci flow background

Following work of Ecker, we consider a weighted Gibbons-Hawking-York functional on a Riemannian manifold-with-boundary. We compute its variational properties and its time derivative under Perelman's modified Ricci flow. The answer has a boundary term which involves an extension of Hamilton's Harnack expression for the mean curvature flow in Euclidean space. We also derive the evolution equations for the second fundamental form and the mean curvature, under a mean curvature flow in a Ricci flow background. In the case of a gradient Ricci soliton background, we discuss mean curvature solitons and Huisken monotonicity.Comment: final versio

Fluid balance and sodium losses during indoor tennis match play

This study assessed fluid balance, sodium losses, and effort intensity during indoor tennis match play (17 ±2 °C, 42% ± 9% relative humidity) over a mean match duration of 68.1 ± 12.8 min in 16 male tennis players. Ad libitum fluid intake was recorded throughout the match. Sweat loss from change in nude body mass; sweat electrolyte content from patches applied to the forearm, calf, and thigh, and back of each player; and electrolyte balance derived from sweat, urine, and daily food-intake analysis were measured. Effort intensity was assessed from on-court heart rate compared with data obtained during a maximal treadmill test. Sweat rate (M ± SD) was 1.1 ± 0.4 L/hr, and fluid-ingestion rate was 1.0 ± 0.6 L/hr (replacing 93% ± 47% of fluid lost), resulting in only a small mean loss in body mass of 0.15% ± 0.74%. Large interindividual variabilities in sweat rate (range 0.3-2.0 L/hr) and fluid intake (range 0.31-2.52 L/hr) were noted. Whole-body sweat sodium concentration was 38 ± 12 mmol/L, and total sodium losses during match play were 1.1 ± 0.4 g (range 0.5-1.8 g). Daily sodium intake was 2.8 ± 1.1 g. Indoor match play largely consisted of low-intensity exercise below ventilatory threshold (mean match heart rate was 138 ± 24 beats/min). This study shows that in moderate indoor temperature conditions players ingest sufficient fluid to replace sweat losses. However, the wide range in data obtained highlights the need for individualized fluid-replacement guidance

A network-based ranking system for American college football

American college football faces a conflict created by the desire to stage national championship games between the best teams of a season when there is no conventional playoff system to decide which those teams are. Instead, ranking of teams is based on their record of wins and losses during the season, but each team plays only a small fraction of eligible opponents, making the system underdetermined or contradictory or both. It is an interesting challenge to create a ranking system that at once is mathematically well-founded, gives results in general accord with received wisdom concerning the relative strengths of the teams, and is based upon intuitive principles, allowing it to be accepted readily by fans and experts alike. Here we introduce a one-parameter ranking method that satisfies all of these requirements and is based on a network representation of college football schedules.Comment: 15 pages, 3 figure

Preexercise Carbohydrate Feeding and High-Intensity Exercise Capacity: Effects of Timing of Intake and Carbohydrate Concentration

The present study aimed to investigate the influence of timing of pre-exercise carbohydrate feeding (Part A), and carbohydrate concentration (Part B), on short-duration high-intensity exercise capacity. In Part A, seventeen males, and in Part B ten males, performed a peak power output (PPO) test, two familiarisation trials at 90% of PPO, and 4 (for Part A) or 3 (for Part B) experimental trials involving exercise capacity tests at 90% PPO. In Part A, the 4 trials were conducted following ingestion of a 6.4% carbohydrate/electrolyte sports drink ingested 30 (C30) or 120 (C120) minutes before exercise, or a flavour-matched placebo administered either 30 (P30) or 120 (P120) minutes before exercise. In Part B, the 3 trials were performed 30 minutes after ingestion of 0%, 2% or 12% carbohydrate solutions. All trials were performed in a double blind cross-over design following and overnight fast. Dietary intake and activity in the two days before trials was recorded and replicated on each visit. Glucose, lactate, heart rate and mood/arousal were recorded at intervals during the trials. In Part A, C30 produced the greatest exercise capacity (mean±SD; 9.0±1.9 min, P<0.01) compared with all other trials (7.7±1.5 min P30, 8.0±1.7 min P120, 7.9±1.9 min C120). In Part B, exercise capacity (min) following ingestion of the 2% solution (9.2±2.1) compared with 0% (8.2±0.7) and 12% (8.0±1.3) solutions approached significance (p=0.09). This study provides new evidence to suggest that timing of carbohydrate intake is important in short duration high-intensity exercise tasks, but a concentration effect requires further exploration

On Minimum Violations Ranking in Paired Comparisons

Ranking a set of objects from the most dominant one to the least, based on the results of paired comparisons, proves to be useful in many contexts. Using the rankings of teams or individuals players in sports to seed tournaments is an example. The quality of a ranking is often evaluated by the number of violations, cases in which an object is ranked lower than another that it has dominated in a comparison, that it contains. A minimum violations ranking (MVR) method, as its name suggests, searches specifically for rankings that have the minimum possible number of violations which may or may not be zero. In this paper, we present a method based on statistical physics that overcomes conceptual and practical difficulties faced by earlier studies of the problem.Comment: 10 pages, 10 figures; typos corrected (v2

A new automated method for measuring noble gases and their isotopic ratios in water samples

Author Posting. © American Geophysical Union, 2009. This article is posted here by permission of American Geophysical Union for personal use, not for redistribution. The definitive version was published in Geochemistry Geophysics Geosystems 10 (2009): Q05008, doi:10.1029/2009GC002429.A method is presented for precisely measuring all five noble gases and their isotopic ratios in water samples using multiple programmed multistage cryogenic traps in conjunction with quadrupole mass spectrometry and magnetic sector mass spectrometry. Multiple automated cryogenic traps, including a two-stage cryotrap used for removal of water vapor, an activated charcoal cryotrap used for helium separation, and a stainless steel cryotrap used for neon, argon, krypton, and xenon separation, allow reproducible gas purification and separation. The precision of this method for gas standards is ±0.10% for He, ±0.14% for Ne, ±0.10% for Ar, ±0.14% for Kr, and ±0.17% for Xe. The precision of the isotopic ratios of the noble gases in gas standards are ±1.9‰ for 20Ne/22Ne, ±2.0‰ for 84Kr/86Kr, ±2.5‰ for 84Kr/82Kr, ±0.9‰ for 132Xe/129Xe, and ±1.3‰ for 132Xe/136Xe. The precision of this method for water samples, determined by measurement of duplicate pairs, is ±1% for He, ±0.9% for Ne, ±0.3% for Ar, ±0.3% for Kr, and ±0.2% for Xe. An attached magnetic sector mass spectrometer measures 3He/4He with precisions of ±0.1% for air standards and ±0.14% for water samples.We are grateful for support by the National Science Foundation Chemical Oceanography program (OCE-0221247), by the Department of Defense (graduate fellowship to RHRS), and by the Woods Hole Oceanographic Institution (postdoctoral fellowship for B.B.)