This thesis is devoted to the optimization of pacing strategies in two locomotive endurance sports; cross-country skiing and road cycling. It has been established that constant pace and variable power distributions are optimal if purely mechanical aspects of locomotion are considered in these sports. However, there is a lack of research that theoretically investigates optimal pacing for real world athletes who are constrained in their ability to generate power output through the bioenergetics of the human body. The aims of this thesis are to develop numerical pacing strategy optimization models and bioenergetic models for locomotive endurance sports and use these to assess objectives relevant in optimal pacing. These objectives include: Investigate the impact of hills, sharp course bends, ambient wind, and bioenergetic models on optimal pacing and assess the effect of optimal pacing strategies on performance. This thesis presents mathematical models for optimization of pacing strategies. These models are divided into mechanical locomotion, bioenergetic, and optimization models that are connected and programmed numerically. The locomotion and bioenergetic models in this thesis consist of differential equations and the optimization model is described by an iterative gradient-based routine. The mechanical model describes the relation between the power output generated by an athlete and his/her locomotion along a course profile, giving the finishing time. The bioenergetic model strives to mimic the human ability to generate power output. Therefore, the bioenergetic model is set to constrain the power output that is used in the mechanical locomotion model. The optimization routine strives to minimize the finishing time in the mechanical locomotion model by varying the distribution of power output along the course, still satisfying the constraints in the bioenergetic model. The studies contained within this thesis resulted in several important findings regarding the general application of pacing strategies in cross-country skiing and road cycling. It was shown that the constant pace strategy is not optimal if ambient conditions change over the course distance. However, variable power distributions were shown beneficial if they vary in parallel with course inclination and ambient winds to decrease variations in speed. Despite these power variations, speed variations were not eliminated for most variable ambient conditions. This relates to the athlete’s physiological restrictions and the effect of these are hard to predict without thorough modeling of bioenergetics and muscle fatigue. Furthermore, it vi was shown that substantial differences in optimal power distributions were attained for various bioenergetic models. It was also shown that optimal braking and power output distributions for cycling on courses that involve sharp bends consisted of three or four phases, depending on the length of the course and the position of the bends. The four phases distinguished for reasonably long courses were a steady-state power phase, a rolling phase, a braking phase, and an all-out acceleration phase. It was also shown that positive pacing strategies are optimal on relatively long courses in road cycling where the supply of carbohydrates are limited. Finally, results indicated that optimal pacing may overlook the effect of some ambient conditions in favor of other more influential, mechanical or physiological, aspects of locomotion. In summary, the results showed that athletes benefit from adapting their power output with respect not only to changing course gradients and ambient winds, but also to their own physiological and biomechanical abilities, course length, and obstacles such as course bends. The results of this thesis also showed that the computed optimal pacing strategies were more beneficial for performance than a constant power distribution. In conclusion, this thesis demonstrates the feasibility of using numerical simulation and optimization to optimize pacing strategies in cross-country skiing and road cycling. / Avhandlingen handlar om optimering av farthållningsstrategier inom längdskidåkning och landsvägscykling. Det finns ett utbrett stöd för att konstant fart och varierande effektfördelningar är optimala om endast mekaniska aspekter beaktas i dessa sporter. Ändå saknas teoretiska studier som undersöker optimal farthållning för verkliga idrottsutövare som är begränsade i sin förmåga att generera effekt genom kroppens bioenergetiska system. Målen med den här avhandlingen är att utveckla metoder för bioenergetik och optimering av farthållningsstrategier i uthållighetsidrott. Dessutom är målet att undersöka påverkan av backar, svängar, omgivande vind och bioenergetisk modellering på den optimala farthållningsstrategin samt att utreda potentialen till prestationsförbättring med optimala farthållningsstrategier. Avhandling presenterar matematiska modeller för optimering av farthållningsstrategier. Dessa modeller delas in i en mekanisk modell för förflyttning, en bioenergetisk modell och en optimeringsmodell. De mekaniska och bioenergetiska modellerna som presenteras i avhandlingen består av differentialekvation och optimeringsmodellen utgörs av en gradient-baserad algoritm. Den mekaniska modellen beskriver förhållandet mellan utövarens effekt och den resulterande rörelsen längs banan som ger tiden mellan start och mål. Den bioenergetiska modellen beskriver människokroppens olika energisystem och dess begränsningar att generera effekt. Den bioenergetiska modellen interagerar med optimeringsmodellen genom att utgöra dess begränsningar för vad den mänskliga kroppen klarar av. Sammanfattningsvis försöker optimeringsmodellen minimera tiden mellan start och mål i den mekaniska modellen genom att variera effekten längs banan. Samtidigt ser optimeringsmetoden till att denna effektfördelning inte kränker den bioenergetiska modellen. Studierna som ingår i avhandlingen resulterade i flera viktiga upptäckter om generella tillämpningar av farthållningsstrategier inom längdskidåkning och landsvägscykling. Det visade sig att konstant fart inte är optimalt om omgivande betingelser varierade längs banans sträckning. Däremot var varierande effektfördelning fördelaktig om den varierar parallellt med banlutning och omgivande vindpåverkan för att minska fartens variationer. Trots denna variation, visade resultaten att fartvariationerna inte eliminerades helt. Detta har att göra med utövarens fysiologiska begränsningar, vars påverkan är svår att förutspå utan genomgående modellering av bioenergetik relaterat till muskeltrötthet. Dessutom viii visade resultaten att olika bioenergetiska metoder gav upphov till betydande skillnader i de optimala farthållningsstrategierna. Resultaten i avhandlingen visade också att optimal effektfördelning vid kurvtagning i landsvägscykling innehåller tre eller fyra faser. The fyra faser som var utmärkande på relativt långa banor var en tröskelfas, en rullfas, en bromsfas och en maximal accelerationsfas. Resultaten visar också att positiv farthållning är optimal på relativt långa banor i landsvägscykling där tillgången på kolhydrater är begränsad. Samtidigt visade resultaten på optimala farthållningsstrategier ibland att inverkan av omgivande betingelser förbisågs till fördel för med inflytelserika betingelser som påverkar framdrivningen. Sammantaget visar resultaten i denna avhandling att utövare gagnas av att anpassa effekten med hänsyn till varierande terräng, omgivande vind, atletens egen fysiologiska och biomekaniska förmåga, banans längd och hinder såsom kurvor. Resultaten visar också att de optimala farthållningsstrategier med varierande effektfördelning som beräknats i denna avhandling förbättrar prestationen jämfört med konstanta effektfördelningar. Sammanfattningsvis visar denna avhandling på möjligheterna att använda numerisk simulering och optimering för att optimera farthållningsstrategier i längdskidåkning och landsvägscykling. / <p>Vid tidpunkten för disputationen var följande delarbeten opublicerade: delarbete 5 accepterat, delarbete 6 manuskript.</p><p>At the time of the doctoral defence the following papers were unpublished: paper 5 accepted, paper 6 manuscript.</p>

O sistema visual exerce importante papel para o reconhecimento do ambiente externo e para estabelecer relações entre objetos, tempo e espaço. Além disso, ele está relacionado com o controle e o desempenho motor. O objetivo deste estudo foi verificar se a privação de luz ambiente alteraria o desempenho e as respostas fisiológicas e psicológicas durante dois modelos de exercício, um fechado e um aberto. Onze ciclistas formaram o grupo de exercício fechado (GEF) e completaram um teste de 20 km, enquanto doze indivíduos ativos formaram o grupo de exercício aberto (GEA) e executaram um teste de potência constante até a exaustão (TWC). Após teste incremental máximo, GEF e GEA realizaram exercício na presença (controle) ou privação (experimental) de luz ambiente, em ordem balanceada. Respostas de desempenho, VE, VO2, VCO2 RER, FC, eletromiografia do músculo vato lateral (EMG), percepção subjetiva de esforço (PSE) e pensamento associado ao exercício (PAE) foram obtidas durante, e no ponto final do exercício, em ambas as condições. O tempo total de exercício indicou a resposta de desempenho em GEF e GEA. As respostas das variáveis fisiológicas e psicológicas foram analisadas durante a realização, ou no ponto final do exercício. A média das respostas geradas durante os 20 km no GEF, e as respostas obtidas no mesmo tempo absoluto do TWC no GEA, pareado pelo menor tempo de exaustão atingido no teste, indicaram as respostas durante a execução do exercício. As respostas obtidas nos 5 segundos finais de cada exercício indicaram as respostas do ponto final do GEF e GEA. A taxa de incremento na PSE foi calculada em GEF e GEA, e o erro de predição da distância real percorrida no teste de 20 km foi obtido no GEF. No GEF, não houve efeito da privação de luz sobre o tempo para completar o teste de 20 km, porém a privação de luz gerou menores respostas (P< 0,01) na VE, VO2, VCO2, EMG e PAE, quando comparada ao controle. No ponto final do exercício, nenhuma diferença foi verificada entre as condições. A privação de luz não alterou a taxa de elevação da PSE ou o erro de predição da distância percorrida. No GEA a privação de luz ambiente reduziu o tempo de exaustão (P< 0,05) no TWC e aumentou a resposta do VO2 e EMG (P< 0,05). Entretanto, não foi observado efeito da privação de luz na VE, VCO2 e FC. No ponto final do exercício observou-se menor EMG com a privação de luz (P< 0,03), mas nenhuma diferença nas demais variáveis foi observada. Maior taxa de elevação na PSE foi observada em ambiente privado de luz. Os resultados do presente estudo podem ser interpretados de acordo com a existência de um \"relógio biológico interno\" que calcula a duração tolerável do exercício de acordo com a aproximação ao ponto final do exercício, sugerindo que os efeitos da privação de luz sobre o desempenho possam depender da presença de um ponto final previamente conhecido / The visual system plays an important role for the environment recognition as well as to set objects, time and space relationships. Furthermore, the visual system is related to the motor learning and performance. The aim of this study was to verify if light deprivation environment would alter performance, and physiological and psychological responses to different exercise modes, closed- and open-loop exercises. Eleven cyclists were the closed-loop exercise group (CLE) and performed a 20 km time trial, while twelve active individuals were the open-loop exercise group (OLE) and cycled to exhaustion during a constant workload exercise. After maximal incremental test CLE and OLE groups performed exercise in a control and experimental condition (i.e. under light deprivation), in a counterbalanced fashion. Performance responses and responses of VE, VO2, VCO2 RER, HR, eletromyography of the vastus lateralis muscle (EMG), ratings of perceived exertion (RPE) and associative thoughts to exercise (ATE) were obtained during exercise and at the exercise endpoint in both the conditions. Time of exercise indicated performance responses in CLE and OLE groups. Physiological and psychological responses were analyzed either during or at the exercise endpoint. Mean responses throughout the 20 km cycling time trial and responses obtained at absolute matched time of exercise, corresponding to the shortest time to exhaustion provided responses along the exercise in CLE and OLE groups, respectively. Responses obtained during the last 5 seconds of the exercises provided responses at the exercise endpoint in both CLE and OLE groups. The rate of increase in RPE was calculated in CLE and OLE groups, and the predictive error of the distance was calculated in the CLE group. In CLE group no effect of light deprivation was observed in the time to complete the 20 km, although the lower response (P< 0.01) of VE, VO2, VCO2, EMG e ATE when compared to control condition. Neither difference was observed in variables at the exercise endpoint. Light deprivation had effect in neither rate of increase in RPE or predictive error of distance. Regarding OLE group the light deprivation decreased the time to exhaustion (P< 0.05) and increased VO2 and EMG (P< 0.05) responses. However, there was no light deprivation effect in VE, VCO2 and HR. Lower EMG was observed at the exercise endpoint in light deprivation condition (P< 0.05) than in control, but no difference was observed in the others. Greater rate of increase in RPE was detected (P< 0.05) in the light deprivation condition than in control. Results of the present study were interpreted according to a \"biological internal clock\" that calculates the tolerable exercise duraton based on the exercise endpoint approximation, suggesting that light deprivation effects on performance may depend on the presence of an exercise endpoint previously known

O sistema visual exerce importante papel para o reconhecimento do ambiente externo e para estabelecer relações entre objetos, tempo e espaço. Além disso, ele está relacionado com o controle e o desempenho motor. O objetivo deste estudo foi verificar se a privação de luz ambiente alteraria o desempenho e as respostas fisiológicas e psicológicas durante dois modelos de exercício, um fechado e um aberto. Onze ciclistas formaram o grupo de exercício fechado (GEF) e completaram um teste de 20 km, enquanto doze indivíduos ativos formaram o grupo de exercício aberto (GEA) e executaram um teste de potência constante até a exaustão (TWC). Após teste incremental máximo, GEF e GEA realizaram exercício na presença (controle) ou privação (experimental) de luz ambiente, em ordem balanceada. Respostas de desempenho, VE, VO2, VCO2 RER, FC, eletromiografia do músculo vato lateral (EMG), percepção subjetiva de esforço (PSE) e pensamento associado ao exercício (PAE) foram obtidas durante, e no ponto final do exercício, em ambas as condições. O tempo total de exercício indicou a resposta de desempenho em GEF e GEA. As respostas das variáveis fisiológicas e psicológicas foram analisadas durante a realização, ou no ponto final do exercício. A média das respostas geradas durante os 20 km no GEF, e as respostas obtidas no mesmo tempo absoluto do TWC no GEA, pareado pelo menor tempo de exaustão atingido no teste, indicaram as respostas durante a execução do exercício. As respostas obtidas nos 5 segundos finais de cada exercício indicaram as respostas do ponto final do GEF e GEA. A taxa de incremento na PSE foi calculada em GEF e GEA, e o erro de predição da distância real percorrida no teste de 20 km foi obtido no GEF. No GEF, não houve efeito da privação de luz sobre o tempo para completar o teste de 20 km, porém a privação de luz gerou menores respostas (P< 0,01) na VE, VO2, VCO2, EMG e PAE, quando comparada ao controle. No ponto final do exercício, nenhuma diferença foi verificada entre as condições. A privação de luz não alterou a taxa de elevação da PSE ou o erro de predição da distância percorrida. No GEA a privação de luz ambiente reduziu o tempo de exaustão (P< 0,05) no TWC e aumentou a resposta do VO2 e EMG (P< 0,05). Entretanto, não foi observado efeito da privação de luz na VE, VCO2 e FC. No ponto final do exercício observou-se menor EMG com a privação de luz (P< 0,03), mas nenhuma diferença nas demais variáveis foi observada. Maior taxa de elevação na PSE foi observada em ambiente privado de luz. Os resultados do presente estudo podem ser interpretados de acordo com a existência de um \"relógio biológico interno\" que calcula a duração tolerável do exercício de acordo com a aproximação ao ponto final do exercício, sugerindo que os efeitos da privação de luz sobre o desempenho possam depender da presença de um ponto final previamente conhecido / The visual system plays an important role for the environment recognition as well as to set objects, time and space relationships. Furthermore, the visual system is related to the motor learning and performance. The aim of this study was to verify if light deprivation environment would alter performance, and physiological and psychological responses to different exercise modes, closed- and open-loop exercises. Eleven cyclists were the closed-loop exercise group (CLE) and performed a 20 km time trial, while twelve active individuals were the open-loop exercise group (OLE) and cycled to exhaustion during a constant workload exercise. After maximal incremental test CLE and OLE groups performed exercise in a control and experimental condition (i.e. under light deprivation), in a counterbalanced fashion. Performance responses and responses of VE, VO2, VCO2 RER, HR, eletromyography of the vastus lateralis muscle (EMG), ratings of perceived exertion (RPE) and associative thoughts to exercise (ATE) were obtained during exercise and at the exercise endpoint in both the conditions. Time of exercise indicated performance responses in CLE and OLE groups. Physiological and psychological responses were analyzed either during or at the exercise endpoint. Mean responses throughout the 20 km cycling time trial and responses obtained at absolute matched time of exercise, corresponding to the shortest time to exhaustion provided responses along the exercise in CLE and OLE groups, respectively. Responses obtained during the last 5 seconds of the exercises provided responses at the exercise endpoint in both CLE and OLE groups. The rate of increase in RPE was calculated in CLE and OLE groups, and the predictive error of the distance was calculated in the CLE group. In CLE group no effect of light deprivation was observed in the time to complete the 20 km, although the lower response (P< 0.01) of VE, VO2, VCO2, EMG e ATE when compared to control condition. Neither difference was observed in variables at the exercise endpoint. Light deprivation had effect in neither rate of increase in RPE or predictive error of distance. Regarding OLE group the light deprivation decreased the time to exhaustion (P< 0.05) and increased VO2 and EMG (P< 0.05) responses. However, there was no light deprivation effect in VE, VCO2 and HR. Lower EMG was observed at the exercise endpoint in light deprivation condition (P< 0.05) than in control, but no difference was observed in the others. Greater rate of increase in RPE was detected (P< 0.05) in the light deprivation condition than in control. Results of the present study were interpreted according to a \"biological internal clock\" that calculates the tolerable exercise duraton based on the exercise endpoint approximation, suggesting that light deprivation effects on performance may depend on the presence of an exercise endpoint previously known