Relevant bibliographies by topics / Sports – Mathematical models

Academic literature on the topic 'Sports – Mathematical models'

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Published: 4 June 2021
Last updated: 13 February 2022

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Journal articles on the topic "Sports – Mathematical models"

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de la Cruz-Campos, Adrián, Juan Carlos de la Cruz-Campos, Juan Carlos de la Cruz-Márquez, and Belén Cueto-Martín. "Prediction of Sports Injuries by Mathematical Models." International Journal of Sport and Society 3, no. 4 (2014): 167–83. http://dx.doi.org/10.18848/2152-7857/cgp/v03i04/53955.

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Belsole, Robert J., Don R. Hilbelink, J. Anthony Llewellyn, Stephen Stenzler, Thomas L. Greene, and Mark Dale. "Mathematical analysis of computed carpal models." Journal of Orthopaedic Research 6, no. 1 (January 1988): 116–22. http://dx.doi.org/10.1002/jor.1100060115.

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Šarčević, Ana, Damir Pintar, Mihaela Vranić, and Ante Gojsalić. "Modeling In-Match Sports Dynamics Using the Evolving Probability Method." Applied Sciences 11, no. 10 (May 13, 2021): 4429. http://dx.doi.org/10.3390/app11104429.

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The prediction of sport event results has always drawn attention from a vast variety of different groups of people, such as club managers, coaches, betting companies, and the general population. The specific nature of each sport has an important role in the adaption of various predictive techniques founded on different mathematical and statistical models. In this paper, a common approach of modeling sports with a strongly defined structure and a rigid scoring system that relies on an assumption of independent and identical point distributions is challenged. It is demonstrated that such models can be improved by introducing dynamics into the match models in the form of sport momentums. Formal mathematical models for implementing these momentums based on conditional probability and empirical Bayes estimation are proposed, which are ultimately combined through a unifying hybrid approach based on the Monte Carlo simulation. Finally, the method is applied to real-life volleyball data demonstrating noticeable improvements over the previous approaches when it comes to predicting match outcomes. The method can be implemented into an expert system to obtain insight into the performance of players at different stages of the match or to study field scenarios that may arise under different circumstances.
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NAEMI, ROOZBEH, and NACHIAPPAN CHOCKALINGAM. "Mathematical Models to Assess Foot–Ground Interaction." Medicine & Science in Sports & Exercise 45, no. 8 (August 2013): 1524–33. http://dx.doi.org/10.1249/mss.0b013e31828be3a7.

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Martins, Fernando, Ricardo Gomes, Vasco Lopes, Frutuoso Silva, and Rui Mendes. "Mathematical Models to Measure the Variability of Nodes and Networks in Team Sports." Entropy 23, no. 8 (August 19, 2021): 1072. http://dx.doi.org/10.3390/e23081072.

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Pattern analysis is a widely researched topic in team sports performance analysis, using information theory as a conceptual framework. Bayesian methods are also used in this research field, but the association between these two is being developed. The aim of this paper is to present new mathematical concepts that are based on information and probability theory and can be applied to network analysis in Team Sports. These results are based on the transition matrices of the Markov chain, associated with the adjacency matrices of a network with n nodes and allowing for a more robust analysis of the variability of interactions in team sports. The proposed models refer to individual and collective rates and indexes of total variability between players and teams as well as the overall passing capacity of a network, all of which are demonstrated in the UEFA 2020/2021 Champions League Final.
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Budak, Gerçek, İmdat Kara, Yusuf Tansel İç, and Refail Kasımbeyli. "New mathematical models for team formation of sports clubs before the match." Central European Journal of Operations Research 27, no. 1 (September 18, 2017): 93–109. http://dx.doi.org/10.1007/s10100-017-0491-x.

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Tokmakidis, S. P., L. A. Léger, and S. O. Rapagna. "SEARCH FOR THE THRESHOLD RESPONSE WITH MATHEMATICAL MODELS." Medicine and Science in Sports and Exercise 21, Supplement (April 1989): S22. http://dx.doi.org/10.1249/00005768-198904001-00127.

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Selezov, I., and V. Bersenev. "Some mathematical models of reflex-metameric therapy." Journal of Biomechanics 39 (January 2006): S631—S632. http://dx.doi.org/10.1016/s0021-9290(06)85630-7.

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Hendrix, C. Russell, Terry J. Housh, Glen O. Johnson, Michelle Mielke, Clayton L. Camic, Jorge M. Zuniga, and Richard J. Schmidt. "Anaerobic Work Capacity From Linear And Nonlinear Mathematical Models." Medicine & Science in Sports & Exercise 41 (May 2009): 204. http://dx.doi.org/10.1249/01.mss.0000355178.68789.67.

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Whiting, Bill. "Theoretical Models of Skeletal Muscle: Biological and Mathematical Considerations." Medicine & Science in Sports & Exercise 31, no. 7 (July 1999): 1084. http://dx.doi.org/10.1097/00005768-199907000-00028.

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Dissertations / Theses on the topic "Sports – Mathematical models"

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Barnett, Tristan J., and tbarnett@swin edu au. "Mathematical modelling in hierarchical games with specific reference to tennis." Swinburne University of Technology, 2006. http://adt.lib.swin.edu.au./public/adt-VSWT20060504.151842.

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This thesis investigates problems in hierarchical games. Mathematical models are used in tennis to determine when players should alter their effort in a game, set or match to optimize their available energy resources. By representing warfare, as a hierarchical scoring system, the results obtained in tennis are used to solve defence strategy problems. Forecasting in tennis is also considered in this thesis. A computer program is written in Visual Basic for Applications (VBA), to estimate the probabilities of players winning for a match in progress. A Bayesian updating rule is formulated to update the initial estimates with the actual match statistics as the match is progressing. It is shown how the whole process can be implemented in real-time. The estimates would provide commentators and spectators with an objective view on who is likely to win the match. Forecasting in tennis has applications to gambling and it is demonstrated how mathematical models can assist both punters and bookmakers. Investigation is carried out on how the court surface affects a player�s performance. Results indicate that each player is best suited to a particular surface, and how a player performs on a surface is directly related to the court speed of the surfaces. Recursion formulas and generating functions are used for the modelling techniques. Backward recursion formulas are used to calculate conditional probabilities and mean lengths remaining with the associated variance for points within a game, games within a set and sets within a match. Forward recursion formulas are used to calculate the probabilities of reaching score lines for points within a game, games within a set and sets within a match. Generating functions are used to calculate the parameters of distributions of the number of points, games and sets in a match.
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Allsopp, Paul, and n/a. "Measuring team performance and modelling the home advantage effect in cricket." Swinburne University of Technology, 2005. http://adt.lib.swin.edu.au./public/adt-VSWT20060713.122306.

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Cricket differs from many team sports in that it is not generally played within easily definable constraints. Thus, it is difficult to compare and contrast team performances. By employing a range of linear and logistic modelling techniques this thesis quantifies the extent to which team quality effects and a range of associated factors such as home advantage have shaped team performance in Test, ODI and domestic cricket. With regards to the latter, the thesis established that, in all forms of cricket, a team?s scoring potential and its capacity to win were both significantly amplified when it played at its home ground. The thesis proposes a method to estimate a projected score for the team batting second in ODI cricket. The method scales up the team?s actual winning scores in proportion to its unused run scoring resources. This creates a projected victory margin when it wins with unused run scoring resources at its disposal and provides a more realistic measure of its relative superiority at the point of victory than the current wickets-in-hand method. Accordingly, the thesis recommends a revised scheme for recording victories in ODI cricket which is consistent across innings and provides a mechanism for all victories to be compared and ranked on an equal footing. The thesis employs linear modelling methods that account for the size of a victory in ODI cricket and the magnitude of the first innings lead in Test and domestic cricket to compute team ratings. The ratings are calculated independently of effects such as home advantage and quantify overall team performance relative to the average rating. They provide a robust measure of team quality and are not sensitive to the extraneous effects that may disproportionately impact on team performance. As a consequence, the thesis recommends that new methods be investigated to officially rate and rank teams in international cricket competitions. The team ratings also form the basis of a proposed outcome prediction model that can be instituted in Test cricket. The thesis established that a surprising trend has emerged in Test cricket, which confirmed that the team batting second, in general, has enjoyed a distinct winning advantage over its opposition. Accordingly, the thesis ascertained that relative strength during the final rather than penultimate innings significantly affected match outcomes and recommends that teams, when winning the coin toss, expose their strongest asset, whether this be batting or bowling, in the final innings.
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Crawford, Phillip M. "Culture and Consensus: The Use of Mathematical Models to Examine a Culture of Sports in the Portland Metropolitan Area." PDXScholar, 1994. https://pdxscholar.library.pdx.edu/open_access_etds/4721.

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The question of what constitutes a culture has often been answered in one phrase: shared knowledge. Recent developments in both the theory and mathematics of examining this shared cultural knowledge allow researchers to produce mathematical models of informants' knowledge and perceptions of the culture they belong to. Many studies in cognitive anthropology have utilized these theoretical and mathematical tools: the present research sought to integrate a research design (based on the theory and mathematics mentioned above) with a relatively new cultural domain: the culture of sports. Three main question pertaining to cultural knowledge were addressed in this research: 1) Did an informant's behavioral embeddedness in sports correspond to their cognitive embeddedness? 2) Did informants' behavioral embeddedness (as a qroup) affect their perceptions of the sports culture they belonqed to? 3) Did informants' coqnitive embeddedness (as a qroup) affect their perceptions of the sports culture they belonged to? Behavioral embeddedness was measured using an instrument that contained 96 bioqraphical variables primarily designed to investigate an informant's participation in sports. Cognitive embeddedness was measured using an instrument based on consensus theory. Subjects' perceptions (called "world view" in this study) of sports were based on their judgements of similarities and differences among 10 sports. These judgements were evoked by triadic analysis. Both consensus theory and triadic analysis followed the framework laid out in Romney and Weller's systematic Data Analysis. Sixty-six informants completed a self-administered survey containing the three parts mentioned above. Because of the nature of the sample used, this study was treated as an ethnography. It was hypothesized that a) behavioral and cognitive embeddedness were correlated and, b) more culturally embedded individuals would have more "sophisticated" perceptions of sports culture. The first hypothesis was not supported: only weak correlations were found between cognitive embeddedness and variables measuring behavioral embeddedness. For the second hypothesis, the exact opposite was found: the more culturally embedded groups of informants had less "sophisticated" perceptions of the sports culture they belonged to.
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Matthews, Gregory J. "Improved paired comparison models for NFL point spreads by data transformation." Link to electronic thesis, 2005. http://www.wpi.edu/Pubs/ETD/Available/etd-050505-144934/.

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Hallinan, Shawn E. "Paired Comparison Models for Ranking National Soccer Teams." Link to electronic thesis, 2005. http://www.wpi.edu/Pubs/ETD/Available/etd-050505-154305/.

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Bernier, Thomas. "Development of an algorithmic method for the recognition of biological objects." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp01/MQ29656.pdf.

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Chernoff, Parker. "Sabermetrics - Statistical Modeling of Run Creation and Prevention in Baseball." FIU Digital Commons, 2018. https://digitalcommons.fiu.edu/etd/3663.

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The focus of this thesis was to investigate which baseball metrics are most conducive to run creation and prevention. Stepwise regression and Liu estimation were used to formulate two models for the dependent variables and also used for cross validation. Finally, the predicted values were fed into the Pythagorean Expectation formula to predict a team’s most important goal: winning. Each model fit strongly and collinearity amongst offensive predictors was considered using variance inflation factors. Hits, walks, and home runs allowed, infield putouts, errors, defense-independent earned run average ratio, defensive efficiency ratio, saves, runners left on base, shutouts, and walks per nine innings were significant defensive predictors. Doubles, home runs, walks, batting average, and runners left on base were significant offensive regressors. Both models produced error rates below 3% for run prediction and together they did an excellent job of estimating a team’s per-season win ratio.
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Bělohlávek, Jiří. "Agent pro kurzové sázení." Master's thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2008. http://www.nusl.cz/ntk/nusl-235980.

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This master thesis deals with design and implementation of betting agent. It covers issues such as theoretical background of an online betting, probability and statistics. In its first part it is focused on data mining and explains the principle of knowledge mining form data warehouses and certain methods suitable for different types of tasks. Second, it is concerned with neural networks and algorithm of back-propagation. All the findings are demonstrated on and supported by graphs and histograms of data analysis, made via SAS Enterprise Miner program. In conclusion, the thesis summarizes all the results and offers specific methods of extension of the agent.
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Keshri, Suraj Kumar. "Essays in Basketball Analytics." Thesis, 2019. https://doi.org/10.7916/d8-1ghx-zy51.

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With the increasing popularity and competition in professional basketball in the past decade, data driven decision has emerged as a big competitive edge. The advent of high frequency player tracking data from SportVU has enabled a rigorous analysis of player abilities and interactions that was not possible before. The tracking data records two-dimensional x-y coordinates of 10 players on the court as well as the x-y-z coordinates of the ball at a resolution of 25 frames per second, yielding over 1 billion space-time observations over the course of a full season. This dissertation offers a collection of spatio-temporal models and player evaluation metrics that provide insight into the player interactions and their performance, hence allowing the teams to make better decisions. Conventional approaches to simulate matches have ignored that in basketball the dynamics of ball movement is very sensitive to the lineups on the court and unique identities of players on both offense and defense sides. In chapter 2, we propose the simulation infrastructure that can bridge the gap between player identity and team level network. We model the progression of a basketball match using a probabilistic graphical model. We model every touch event in a game as a sequence of transitions between discrete states. We treat the progression of a match as a graph, where each node represents the network structure of players on the court, their actions, events, etc., and edges denote possible moves in the game flow. Our results show that either changes in the team lineup or changes in the opponent team lineup significantly affects the dynamics of a match progression. Evaluation on the match data for the 2013-16 NBA season suggests that the graphical model approach is appropriate for modeling a basketball match. NBA teams value players who can ``stretch'' the floor, i.e. create space on the court by drawing their defender(s) closer to themselves. Clearly, this ability to attract defenders varies across players, and furthermore, this effect may also vary by the court location of the offensive player, and whether or not the player is the ball handler. For instance, a ball-handler near the basket attracts a defender more when compared to a non ball-handler at the 3 point line. This has a significant effect on the defensive assignment. This is particularly important because defensive assignment has become the cornerstone of all tracking data based player evaluation models. In chapter 3, we propose a new model to learn player and court location specific offensive attraction. We show that offensive players indeed have varying ability to attract the defender in different parts of the court. Using this metric, teams can evaluate players to construct a roster or lineup which maximizes spacing. We also improve upon the existing defensive matchup inference algorithm for SportVU data. While the ultimate goal of the offense is to shoot the ball, the strategy lies in creating good shot opportunities. Offensive play event detection has been a topic of research interest. Current research in this area have used a supervised learning approach to detect and classify such events. We took an unsupervised learning approach to detect these events. This has two inherent benefits: first, there is no need for pretagged data to learn identifying these events which is a lobor intensive and error prone task; second, an unsupervised approach allows us to detect events that has not been tagged yet i.e. novel events. We use a HMM based approach to detect these events at any point in the time during a possession by specifying the functional form of the prior distribution on the player movement data. We test our framework on detecting ball screen, post up, and drive. However, it can be easily extended to events like isolation or a new event that has certain distinct defensive matchup or player movement feature compared to a non event. This is the topic for chapter 4. Accurate estimation of the offensive and the defensive abilities of players in the NBA plays a crucial role in player selection and ranking. A typical approach to estimate players' defensive and offensive abilities is to learn the defensive assignment for each shot and then use a random effects model to estimate the offensive and defensive abilities for each player. The scalar estimate from the random effects model can then be used to rank player. In this approach, a shot has a binary outcome, either it is made or it is a miss. This approach is not able to take advantage of the “quality” of the shot trajectory. In chapter 5, we propose a new method for ranking players that infers the quality of a shot trajectory using a deep recurrent neural network, and then uses this quality measure in a random effects model to rank players taking defensive matchup into account. We show that the quality information significantly improves the player ranking. We also show that including the quality of shots increases the separation between the learned random effect coefficients, and thus, allows for a better differentiation of player abilities. Further, we show that we are able to infer changes in the player's ability on a game-by-game basis when using a trajectory based model. A shot based model does not have enough information to detect changes in player's ability on a game-by-game basis. A good defensive player prevents its opponent from making a shot, attempting a good shot, making an easy pass, or scoring events, eventually leading to wasted shot clock time. The salient feature here is that a good defender prevents events. Consequently, event driven metrics, such as box scores, cannot measure defensive abilities. Conventional wisdom in basketball is that ``pesky'' defenders continuously maintain a close distance to the ball handler. A closely guarded offensive player is less likely to take or make a shot, less likely to pass, and more likely to lose the ball. In chapter 6, we introduce Defensive Efficiency Rating (DER), a new statistic that measures the defensive effectiveness of a player. DER is the effective distance a defender maintains with the ball handler during an interaction where we control for the identity and wingspan of the the defender, the shot efficiency of the ball handler, and the zone on the court. DER allows us to quantify the quality of defensive interaction without being limited by the occurrence of discrete and infrequent events like shots and rebounds. We show that the ranking from this statistic naturally picks out defenders known to perform well in particular zones.
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Mendes, Gisela Cristina da Cunha. "Ethylene oxide sterilisation of medical devices : development of mathematical models for prediction of ethylene oxide diffusion and microbial lethality." Doctoral thesis, 2011. http://hdl.handle.net/10400.14/8552.

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O óxido de etileno (EO) é um agente de esterilização dominante na indústria dos dispositivos médicos, devido à sua efectividade e compatibilidade com a maioria dos materiais. Considerando o crescimento exponencial do mercado de dispositivos médicos sensíveis, complexos e sofisticados, assim como de conjuntos de procedimento customizados (que combinam uma grande diversidade de produtos e gama de polímeros) utilizados em actos médicos e cirúrgicos específicos, o EO emerge como o método de esterilização de eleição. A optimização deste processo constitui um desafio devido ao facto da competitividade do mercado global exigir custo-efectividade, flexibilidade e redução do tempo de ciclo necessário à colocação dos produtos no mercado, sem prejuízo da segurança e assegurando o cumprimento dos requisitos reguladores. A esterilização por EO é um processo multi-paramétrico complexo, que exige uma fase final de arejamento dos materiais. A eficácia destes processos é influenciada por diversas variáveis (e.g. temperatura, humidade, concentração do agente, material alvo), pelo que a sua optimização exige o conhecimento da influência das condições impostas e das suas relações com os produtos. A modelização matemática do processo de esterilização e arejamento permite a definição das condições óptimas para morte microbiana e desgaseificação, respectivamente. Tal permite a redução dos tempos de ciclo e/ou concentração de EO, assim como a comparação de diferentes processos de esterilização. Deste modo é possível contribuir para o desenvolvimento de processos com eficiência e flexibilidade acrescidas e a libertação paramétrica da esterilização surge assim cientificamente apoiada. Nesta dissertação foi estudada a influência das condições de processo na esterilização de dispositivos médicos por EO. Este é um processo implementado na empresa Bastos Viegas, S.A., desde 2005. Foram estudados os efeitos e interacções da temperatura, concentração de óxido de etileno e humidade relativa na inactivação do Bacillus subtilis, var. niger (ATCC 9372), o microrganismo de referência usado no controlo do processo. As experiências foram realizadas em câmaras de esterilização, com uma carga de campos cirúrgicos. Aplicou-se um planeamento experimental factorial 23 para avaliação dos efeitos das três variáveis (de acordo com limites comuns de condições operacionais) na letalidade da esterilização por EO. A inactivação do B. subtilis apresentou um comportamento sigmoidal e um modelo baseado em Gompertz foi ajustado com sucesso aos dados experimentais. Características importantes das curvas, tais como atraso inicial e taxa de inactivação foram considerados parâmetros do modelo. A temperatura e a concentração de óxido de etileno foram as variáveis que afectaram significativamente esses parâmetros, pelo que experiências adicionais foram realizadas de forma a incluir o efeito dessas variáveis do processo. Foi desenvolvido um modelo matemático para previsão da morte de B. subtilis expresso em função da temperatura e concentração de EO. Uma vez que a letalidade demonstrou estar directamente relacionada com a concentração de agente esterilizante, compreender a efectividade da esterilização por EO suscita obter a permeabilidade dos materiais ao gás, assim como o conhecimento sobre a dinâmica deste processo. A análise em tempo real da concentração de EO no espaço-livre do esterilizador tem-se tornado prática comum e o desafio neste momento é prever o seu valor no interior da carga. Foi desenhado, concebido e desenvolvido um equipamento para determinar a difusividade e a solubilidade de EO, e a permeabilidade de diversos materiais ao gás, pela metodologia de tempo de atraso. A operação deste equipamento é baseada no princípio de medição de uma mudança transiente de pressão em condições de volume e temperatura constantes (abordagem pressão-variável) e permite a determinação do tempo de atraso e do fluxo de EO em estado estacionário através de diversos materiais. As experiências foram executadas com um material de campo cirúrgico, a uma temperatura típica de esterilização, i.e. 48 ˚C, e a uma pressão de 3,2x105 Pa. As propriedades de transferência do EO no campo cirúrgico foram usadas para modelizar a sua cinética numa carga industrial do mesmo material. A segunda lei de Fick demonstrou ser adequada na descrição do processo de transferência, o que foi validado pela utilização de dosímetros que integraram a concentração de EO durante o tempo de exposição. A etapa de arejamento é importante para reduzir os resíduos de EO a um nível seguro e neste contexto, prever a desorção do EO é uma importante ferramenta para a optimização global da esterilização por EO. A cinética de desorção de EO de diferentes materiais esterilizados foi avaliada numa gama de temperaturas de arejamento entre 1,5 e 59,0 °C. Os dados experimentais seguiram um processo de difusão Fickiano e as difusividades foram estimadas para dois materiais médicos têxteis e dois poliméricos. Os resultados apresentados nesta dissertação contribuem para uma melhor compreensão da dinâmica do processo de esterilização por EO e por conseguinte, para uma optimização e controlo eficiente deste processo.
Ethylene oxide (EO) is a dominant sterilisation agent in medical device industry, due to its effectiveness and compatibility with most materials. Considering the exponential market growth of sensitive, complex and sophisticated medical devices, as well as custom procedure packs (that combine a large diversity of products and range of polymers) for use in specific medical and surgical procedures, EO emerges as the sterilisation method of choice. The process optimisation is a challenge, due to the fact that the global competition market requires cost effectiveness, flexibility and inherent reduction of turnaround time required to get the products to market, without compromising safety and compliance with regulatory requirements. Ethylene oxide sterilisation is a complex multi-parameter process that requires an aeration final step of the materials. The effectiveness of these processes is influenced by several variables (e.g. temperature, humidity, concentration of the agent, target material), so their optimisation requires knowledge of the influence of the conditions imposed and of their relations with the products. Mathematical modelling of the sterilisation and aeration processes allows the definition of optimal microbial inactivation and outgassing conditions, respectively. This allows cycle times and/or EO concentration reduction, as well as the comparison of different sterilisation processes. In this way it is possible to contribute to the development of processes with added efficiency and flexibility and, therefore, the parametric release of the sterilization arises scientifically supported. In this dissertation the influence of process conditions on EO sterilization of medical devices was studied. This is an implemented process in Bastos Viegas, S.A. company, since 2005. The main effects and interactions of temperature, ethylene oxide concentration and relative humidity on the inactivation of the Bacillus subtilis, var. niger (ATCC 9372), the reference microorganism used in the control of the process, were assessed. The experiments were carried out in sterilisation chambers, with a load of surgical drapes. A 23 full factorial experimental design was applied for evaluation of the effects of the three variables (under the common limits of operational conditions) on microbial lethality by EO sterilisation. The B. subtilis inactivation presented a sigmoidal behaviour and a Gompertz based model was successfully applied in experimental data fitting. Important characteristics of the curves, as initial shoulder and inactivation rate were considered model parameters. Temperature and ethylene oxide concentration were the variables that significantly affected those parameters, so additional experiments were carried out to include the effects of those process variables. A mathematical model for B. subtilis death prediction was developed, expressed in terms of temperature and EO concentration. Since the lethality was found to be directly related with the sterilant agent concentration, understanding EO sterilisation effectiveness requires attaining gas permeability of materials, as well as the knowledge of the process dynamics. The on-line analysis of EO concentration in the steriliser head-space is becoming common practice and the challenge now is to predict its value within the load. An apparatus was designed, conceived and developed for determination of EO diffusivity and solubility, and gas permeability of sheet materials, by lag time methodology. The operation of this apparatus is based upon the principle of measuring a transient change in pressure at conditions of constant volume and temperature (variable-pressure approach) and allows determination of lag time and steady state flow of EO through different materials. Experiments were carried out with a surgical drape material at a standard sterilisation temperature, i.e. 48 ˚C, and at a pressure of 3.22x105 Pa. The transport properties of EO through surgical drape were used for modelling its kinetics through an industrial load of the same material. The Fick‟s second law was adequate for describing the transport process, which was validated by the use of dosimeters that integrated EO concentration through exposure time. The aeration step is important for reducing EO residues to a safe level and in this context, prediction of EO desorption is a valuable tool for the overall optimisation of EO sterilisation. The kinetics of EO desorption, from different sterilised materials, was assessed within the range of aeration temperatures from 1.5 to 59.0 °C. The experimental data followed a Fickian diffusion process and diffusivities were estimated for two textile and two polymeric medical materials. The results presented in this dissertation contributes to a better understanding of the full dynamics of EO sterilisation and consequently, for an optimisation and efficient control of this process.
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Books on the topic "Sports – Mathematical models"

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Forecasting in financial and sports gambling markets: Adaptive drift modeling. Hoboken, N.J: Wiley, 2011.

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Mathematics in games, sports, and gambling: The games people play. Boca Raton: Chapman & Hall/CRC, 2010.

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Mestre, Neville De. The mathematics of projectiles in sport. Cambridge: Cambridge University Press, 1990.

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Henig, Mordechai I. Stability in games induced by the average and truncated avaerage funcations. [Urbana]: College of Commerce and Business Administration,University of Illinois at Urbana-Champaign, 1986.

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Henig, Mordechai I. Stability in games induced by the average and truncated avaerage funcations. [Urbana]: College of Commerce and Business Administration,University of Illinois at Urbana-Champaign, 1986.

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Horn, Henrik. The regulation of markets for team sports: An overview of relevant economic literature. Neuchâtel, Suisse: Editions CIES, 2002.

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Mathletics: A scientist explains 100 amazing things about the world of sports. New York: W. W. Norton & Company, 2012.

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Carbonell-Nicolau, Oriol. Testing out contractual incompleteness: Evidence from soccer. Cambridge, Mass: National Bureau of Economic Research, 2005.

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Carbonell-Nicolau, Oriol. Testing out contractual incompleteness: Evidence from soccer. Cambridge, MA: National Bureau of Economic Research, 2005.

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Fair, Ray C. How fast do old men slow down? Cambridge, MA: National Bureau of Economic Research, 1991.

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Book chapters on the topic "Sports – Mathematical models"

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Parlebas, Pierre. "Elementary Mathematical Modelization of Games and Sports." In The Explanatory Power of Models, 197–227. Dordrecht: Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-1-4020-4676-6_11.

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Gerville-Réache, Léo, Mikhail Nikulin, Sébastien Orazio, Nicolas Paris, and Virginie Rosa. "Some Probabilistic Models Useful in Sport Sciences." In Mathematical Methods in Survival Analysis, Reliability and Quality of Life, 333–52. London, UK: ISTE, 2010. http://dx.doi.org/10.1002/9780470610985.ch21.

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Zainuddin, Zaifilla Farrina, and Norasrudin Sulaiman. "Optimization Model of Instep Kick: The ABP-Based Mathematical Model." In Proceedings of the International Colloquium on Sports Science, Exercise, Engineering and Technology 2014 (ICoSSEET 2014), 523–33. Singapore: Springer Singapore, 2014. http://dx.doi.org/10.1007/978-981-287-107-7_53.

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Álvarez-López, Alberto A., and Inmaculada Rodríguez-Puerta. "Decision Analysis in a Model of Sports Pricing Under Uncertain Demand." In CIM Series in Mathematical Sciences, 31–39. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-16118-1_3.

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Lee, Joung-Hun. "Theoretical Models as a Tool to Derive Management Strategies for Sustainable Natural Resource Management." In Decision Science for Future Earth, 169–79. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-15-8632-3_7.

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AbstractBiodiversity hot spots cannot be preserved successfully unless human activities such as illegal logging and grazing are properly controlled and cooperation is achieved among resource users to reduce anthropogenic impacts. We explore strategies for sustainable use of common resources by studying resource users’ behaviors together with resource dynamics, because ecological and social factors are known to interact strongly. By showing three systems dealing with the risk of illegal logging, grazing pressure, and increasing catching effort respectively, we show the advantages of a mathematical model as a management tool.
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Meinhardt, Hans. "Beyond Spots and Stripes: Generation of More Complex Patterns by Modifications and Additions of the Basic Reaction." In Mathematical Models for Biological Pattern Formation, 143–64. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4613-0133-2_7.

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Liu, Chunzhong. "Training Management of High-Level Sports Teams in Ordinary Universities Based on Mathematics Model." In Lecture Notes in Electrical Engineering, 619–26. London: Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-4853-1_76.

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"Mathematical models of sports motions." In Sports Biomechanics, 213–55. Routledge, 2002. http://dx.doi.org/10.4324/9780203474563-15.

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la Cruz-Mrquez, Juan Carlos de, Adrin de la Cruz-Campos, Juan Carlos de la Cruz-Campos, Mara Beln, Mara Garca-Jimnez, and Mara Teresa. "Prediction of Sports Injuries by Mathematical Models." In An International Perspective on Topics in Sports Medicine and Sports Injury. InTech, 2012. http://dx.doi.org/10.5772/26082.

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Vancsó, Ödön, and Eszter Varga. "Kannst du das System schlagen? Wetten im Sport als Kontext für die Kombination der Ideen der klassischen, statistischen und subjektivistischen Wahrscheinlichkeit." In Komplexer Mathematikunterricht. Die Ideen von Tamás Varga in aktueller Sicht, 367–90. WTM-Verlag Münster, 2020. http://dx.doi.org/10.37626/ga9783959871648.0.22.

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The motivational value of the context is clearly demonstrated by students in classroom situations posing the title question. This excellent real-life question triggered the design of a special instructional sequence culminating in the addressed problem and aiming to combine different approaches to probability. Considering students’ usual struggle with the field, this attempt may prove valuable. As in the history of Stochastics, investigating the rationality behind the system of odds requires parallel handling of chances and expected value, and can lead to a deeper understanding of complex mathematical models. Recently, Series of Problems have been in the center of attention of the Complex Mathematics Education Research Project in general, as an important characteristic of the Hungarian Guided Discovery approach. Our design roots in this highly problem based tradition and adopts some of Tamás Varga’s ideas in instruction. In our paper, the details and structure of the designed teaching material will be displayed utilizing the tools of this research. Following centuries of tradition, sports betting is flourishing nowadays, particularly benefitting from the opportunities of online forums. Providing entertainment for many, it has great motivational value for students, who often pose the particular question in the title. This question is spot-on: gambling is a highly regulated, nevertheless always lucrative market. From an educational point of view, sports betting gives us a more complex perspective on probability than combinatorial games. History and teaching practice both suggest that the concept of probability bears serious cognitive load, and students often burdened with biases that makes the heart of the concept elude them. Furthermore, instruction sometimes lacks the adequate means to harmonize even the correctly introduced aspects of probability, leaving the students with either fragmented or contradicting ideas. In our paper we will make an attempt to connect the classical (laplacian), statistical (frequentistical) and subjectivistic (bayesian) approaches of probability through a gradually constructed task sequence organized around sports betting. We hypothesize that the investigation of the rationality of odds can foster a more integrated understanding of the concepts probability and expected value. Classification: D40, M10, K50, U30, U40, U60. Keywords: probability, expected value, risk, problem-solving, problem series, modeling, teaching process
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Conference papers on the topic "Sports – Mathematical models"

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Garimella, Harsha T., Hao Yuan, Brian D. Johnson, Semyon L. Slobounov, and Reuben H. Kraft. "A Two-Fiber Anisotropic Constitutive Model of Human Brain With Intravoxel Heterogeneity of Fiber Orientation Using Diffusion Spectrum Imaging (DSI)." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-39107.

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Sports-related concussion is a major public health problem in the United States that is estimated to occur in 1.6–3.8 million individuals annually, and is particularly common in football. Despite the significance and growing concerns about the potential long-term consequences of concussion, its biomechanical mechanisms are not fully understood. Since 1970’s computational head modeling has proved to be an efficient tool for establishment of health injury criteria and studies on head injury mitigation. One important step in the computational modeling of the human head is to develop the mathematical material models (constitutive models) for the tissue. There have been many attempts to develop an accurate constitutive model for brain tissue. Recent experimental studies have highlighted the significant influence of axonal fibers on the non-linear and anisotropic behavior of brain tissue. Tractography based on diffusion tensor imaging (DTI) has been used in various previous studies to develop a constitutive model for human brain by including the anisotropic properties. Though DTI provides a macro scale information about the axonal fibers in the brain, it cannot directly describe multiple fiber orientations within a single voxel. To address this limitation within the DTI tractography, Diffusion Spectrum imaging (DSI), a variant of Diffusion Weighted Imaging, is used. DSI is generally used in deriving connectome sets and is sensitive to intravoxel heterogeneities of fiber orientation in diffusion direction caused by crossing fiber tracts and thus allowing for more accurate mapping of axonal trajectories than other diffusion methods. Thus more accurate constitutive models can be developed from the structural information about the human brain using DSI. This paper extends, the anisotropic constitutive models developed previously, for two family of fibers which will be useful in the computational modeling of the human brain using DSI.
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"Research on Important Functions and Applications Models of Mathematics History in College Mathematics Teaching." In 2017 International Conference on Advanced Education, Psychology and Sports Science. Francis Academic Press, 2017. http://dx.doi.org/10.25236/aepss.2017.028.

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Hu, Wenping, Shengyao Jiang, and Xingtuan Yang. "Review of Mathematical Models for Pebble Dynamics." In 16th International Conference on Nuclear Engineering. ASMEDC, 2008. http://dx.doi.org/10.1115/icone16-48278.

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Pebble-bed nuclear reactor technology, with a reactor core typically composed of spherical pebbles draining very slowly in a continuous refueling process, is currently being revived around the world. But the dense slow pebble flow in the reactor, which has an important impact on reactor physics, is still poorly understood. Under such circumstance, this article studies mathematical models which are potential to research the pebbles motion in the pebble-bed reactor, including void model, spot model and DEM model. The fundamental principles of these models are introduced, the success and deficiency of each model is briefly analyzed. Theoretically, it’s expected that spot model and DEM model may be more practical to apply on studying the pebble dynamics. Though, spot model still needs to be refined based on further experimentation, and more research is necessary to solve the problem of huge computational time in order to make the DEM model simulation technique a really practical notion.
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Poliyevskiy, Sergey, Galina Yamaletdinova, Elena Tsoy, and Olga Grigorieva. "Health Code as Methodological Basis of Athlete Students Self-Recovery." In The Public/Private in Modern Civilization, the 22nd Russian Scientific-Practical Conference (with international participation) (Yekaterinburg, April 16-17, 2020). Liberal Arts University – University for Humanities, Yekaterinburg, 2020. http://dx.doi.org/10.35853/ufh-public/private-2020-73.

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The importance of independent recreational practice for student-athletes is increasing in today’s environment. Therefore, it’s appropriate to prepare relevant recommendations for students undergoing heavy physical loads. The study was mainly aimed at the elaboration of the content of the Health Code for athlete students to render it as a component and method of implementing a self-health system. The theoretical and empirical methods applied during the implementation of the study were as follows: theoretic-comparative analysis, summarisation of relevant data from scientific-methodological publications on physiology, physical culture and sports, oriental medicine, observations, tests, mathematical statistics methods. The study used systemic and axiological approaches of a general scientific level of methodology. The Student-Athlete Health Code consists of recommendations for selecting the means of restoring performance and improving the functional state of the student-athlete body during an educational and training day. This is a set of personal health improvement rules prepared on the basis of modern scientifically reasoned data on hygiene and valeology. The Code’s programme material includes paramedical signs of the optimal functional condition and premorbid status; the authors’ recommendations on wellness devices, health monitoring tests and immune resistance; a brief description of wellness techniques, methods and recipes; express methods of reflexology and minimisation of fatigue and immunity stimulation; illustrative wellness informative tips and recommended literature. The solutions were tested in the educational and training process of students at the Russian State University of Physical Culture, Sport, Youth and Tourism, where 91.57 % of respondents mentioned benefits in their personal health after having followed the recommendations presented in the Health Code.
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Mengüç, Kenan. "A Solution of a Mathematical Model Which Simulates Football Game as a Logistics Network." In 7th International Conference on Sport Sciences Research and Technology Support. SCITEPRESS - Science and Technology Publications, 2019. http://dx.doi.org/10.5220/0007917801050112.

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Xu, Hui, and Na Xu. "Teaching Research and Practice of University Mathematics Courses Adapted to Applied Talent Training Model." In 2018 3rd International Conference on Education, Sports, Arts and Management Engineering (ICESAME 2018). Paris, France: Atlantis Press, 2018. http://dx.doi.org/10.2991/icesame-18.2018.84.

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Booij, Silvia, Hedser van Brug, and Oliver W. Fähnle. "A mathematical model for machining spot in fluid jet polishing explained." In Optical Fabrication and Testing. Washington, D.C.: OSA, 2000. http://dx.doi.org/10.1364/oft.2000.otua3.

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Hu, Tingjia. "Research on the Social Financing Method of college sports Based on Multivariate Optimization Mathematical Model and BOT Financing Mode." In 2nd International Conference on Management Science and Industrial Engineering (MSIE 2013). Paris, France: Atlantis Press, 2013. http://dx.doi.org/10.2991/msie-13.2013.83.

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Izmailov, Sergey, Julia Perevezentseva, Andrey Rotkov, Vladimir Beschastnov, Evgeniy Popov, and Egor Lukoyanychev. "Mathematical Justification of the Wound suturing by Wound Contractors of new Generation." In International Conference "Computing for Physics and Technology - CPT2020". Bryansk State Technical University, 2020. http://dx.doi.org/10.30987/conferencearticle_5fce2772128d09.10616351.

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Frequent cases of man-made disasters, terrorist attacks and military conflicts lead to an increase in the number of victims. Significant soft tissue defects are known to result from gunshot wounds. So, as a result of mine-blasting injuries, defects in the skin and underlying tissues more than 10 cm in diameter are formed in 71.1% of cases. The prerequisite for the uncomplicated course of the wound process is to achieve an adequate comparison of the edges of the wound without excessive tension. To close such extensive wounds, various technical means are used: sutures on pads, various types of dermatotension. We have developed various models of wound contractors (RC) for treatment of wounds. With the help of the RC, a complete reposition and good adaptation of the edges of the wound is created. The wound closure method using these RC almost completely eliminates tissue cutting and limits the sawing effect to a minimum. This is explained by the effects of elastic forces reducing to zero when matching soft tissues and suturing. The use of hardware methods for suturing wounds requires the development of mathematical models of various types of wounds and surgical sutures. These models should provide a simulation of living tissues of the wound edges behavior to achieve the best results in the treatment of wounds by RC advanced technologies. The purpose of this study is to mathematically justify RC with the parallel holding of spokes. Another purpose is to develop a mathematical model of the wounds suturing by hardware technology.
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Klementev, Andrey, and Svetlana Galysheva. "An Integrated Technique of Attention Improvement in Young Badminton Players (8-10 Years Old)." In The Public/Private in Modern Civilization, the 22nd Russian Scientific-Practical Conference (with international participation) (Yekaterinburg, April 16-17, 2020). Liberal Arts University – University for Humanities, Yekaterinburg, 2020. http://dx.doi.org/10.35853/ufh-public/private-2020-67.

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One of the critical aspects of athletes’ fitness for effective competitive performance is the development of special cognitive qualities, in particular attention deficits. The development and enhancement of attention is important for increasing the effectiveness of sporting activities, and above all as a tool for controlling what happens when playing sports. However, original techniques of attention improvement in children are, to date, insufficient. The age of 8-10 is known to be a sensitive period for attention development. In our opinion, these are all strong arguments for developing a comprehensive methodology for developing young badminton players’ attention. During the pedagogical experiment, standard tests were used: the application of Gorbov’s tables, ‘Pyramid-tunnel’, the application of a Correction table; pedagogical observation and mathematical processing of the results using Microsoft Office Excel 2007. The credibility of disparities was calculated against Student’s criteria at significance level р . 0.05. The main constituents of attention for being successful in badminton are the scope, capability for shifting and keeping focus. The proposed integrated technique of attention improvement in young badminton players at the age of 8-10 caused a substantial improvement of sports achievements in the test group compared to the reference group. This shows that our methodology has a positive trend in the development of attention functions and is effective for young athletes.
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Reports on the topic "Sports – Mathematical models"

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Crawford, Phillip. Culture and Consensus: The Use of Mathematical Models to Examine a Culture of Sports in the Portland Metropolitan Area. Portland State University Library, January 2000. http://dx.doi.org/10.15760/etd.6605.

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Methodology of sports working capacity level increase in basketball players on the basis of stimulation and rehabilitation means. Viktor V. Andreev, Igor E. Konovalov, Dmitriy S. Andreev, Aleksandr I. Morozov, March 2021. http://dx.doi.org/10.14526/2070-4798-2021-16-1-5-11.

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The increased level of modern sport development increases the demands claimed on different aspects of the training process with further rehabilitation organization and realization. That is why we still have the problem of an adequate and effective integral system creation. The mentioned direction has a direct connection with the activity of scientists, coaches- practitioners and sports clubs. They have to work within one mechanism of interaction. Materials. Studying the level of working capacity influence stimulation and organism rehabilitation means on an organism of basketball players from higher educational establishments on the basis of a wildgrowing plant root “snowdon rose” (Rhodiola rosea), classical massage with special oils and contrast shower application. Research methods. The following methods were used in the experiment: scientific-methodical sources analysis concerning the level of working capacity and athletes’ functional rehabilitation increase; functional tests; the received video material with the indices analysis; mathematical statistics. The research realization was on the basis of N.F. Katanov State University, Khakassia and Khakassia Technical Institute (branch) of Siberian Federal University in Abakan. Results. During the research work we stated qualitative and quantitative indices of athletes’ coordinating endurance with the help of video together with other mentioned above rehabilitation means; the received results were handled and we revealed positive changes in the studied information values of basketball players’ motor sphere and respiratory system. Conclusion. The results analysis, received after the research, helped to come to the following conclusion: out of the presented components the biological factor in a form of a wild-growing plant root “snowdon rose” (Rhodiola rosea) has the main influence on the working capacity and functional rehabilitation of basketball players’ organisms.
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