• Title/Summary/Keyword: the exponential function

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Changes of Heart Rate During Marathon Running (장거리 (마라톤)선수에서의 전 경기중 심박동수의 변화)

  • Kim, In-Kyo;Lee, Jung-Woo;Hah, Jong-Sik;Ryu, Yun-Hee;Choi, Jung-Ok;Kim, Ki-Ho
    • The Korean Journal of Physiology
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    • v.13 no.1_2
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    • pp.1-12
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    • 1979
  • To evaluate the present status of physical fittness of Korean long distance runners, body fat, pulmonary functions, maximal oxygen intake and oxygen debt were measured in 5 elite marathoners (A group), 6 college student runners (B group) and 3 middle school student runners (C group). After laboratory tests, full course marathon running was performed in 2 elite marathoners during which their heart rates were monitored continuously. The results are summerized as follows: 1) Total body fat in all three groups are in the range of 13-15% of their body weight. 2) In all three groups, average values of various pulmonary functions were within the normal limits, but those of tidal volume were higher and respiratory rate were lower in comparison to normal values. These phenomena may represent respiratory adaptations against training. The average resting oxygen consumptions in A,B and C were $322{\pm}23$, $278{\pm}14$ and $287{\pm}16$m1/min, respectively. 3) In all three groups, resting blood pressures were in the normal range, but the resting heart rate was slightly lower in groups A $(56{\pm}3\;beats/min)$ and B $(64{\pm}2\;beats/min)$ and higher in group C $(82{\pm}9\;beats/min)$ in comparison to normal values. These changes in cardiovascular functions in marathoners may also represent adaptive phenomena. 4) During treadmill running the minute ventilation and oxygen consumption of the runners increased lineally with work load in all three groups. When the oxygen consumption was related to heart rate, it appeared to be a exponential function of the heart rate in all three groups. 5) The average maximal heart rates during maximal work were $196{\pm}3$, $191{\pm}3$ and $196{\pm}5\;beats/min$ for groups A,B and C, respectively. Maximal oxygen intakes were $84.2{\pm}3.3\;ml/min/kg$ in group A, $65.2{\pm}1.1\;ml/min/kg$ in group B and $58.7{\pm}0.4\;ml/min/kg$ in group C. 6) In all three groups, oxygen debts and the rates of recovery of heart rate after treadmill running were lower than those of long ditsance runners reported previously. 7) The 40 km running time in 2 elite marathoners was recorded to be $2^{\circ}42'25'$, and their mean speed was 243 m/min (ranged 218 to 274 m/min). The heart rate appeared to increase lineally with running speed, and the total energy expenditure during 40 km running was approximately 1360.2 Calories. From these it can be speculated that if their heart rates were maintained at 166 beats/min during the full course of marathon running, their records would be arround $2^{\circ}15'$. Based on these results, we may suspect that a successful long distance running is, in part, dependent on the economical utilization of one's aerobic capacity.

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Mathematical Models to Predict Staphylococcus aureus Growth on Processed Cheeses

  • Kim, Kyungmi;Lee, Heeyoung;Moon, Jinsan;Kim, Youngjo;Heo, Eunjeong;Park, Hyunjung;Yoon, Yohan
    • Journal of Food Hygiene and Safety
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    • v.28 no.3
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    • pp.217-221
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    • 2013
  • This study developed predictive models for the kinetic behavior of Staphylococcus aureus on processed cheeses. Mozzarella slice cheese and cheddar slice cheese were inoculated with 0.1 ml of a S. aureus strain mixture (ATCC13565, ATCC14458, ATCC23235, ATCC27664, and NCCP10826). The inoculated samples were then stored at $4^{\circ}C$ (1440 h), $15^{\circ}C$ (288 h), $25^{\circ}C$ (72 h), and $30^{\circ}C$ (48 h), and the growth of all bacteria and of S. aureus were enumerated on tryptic soy agar and mannitol salt agar, respectively. The Baranyi model was fitted to the growth data of S. aureus to calculate growth rate (${\mu}_{max}$; ${\log}CFU{\cdot}g^{-1}{\cdot}h^{-1}$), lag phase duration (LPD; h), lower asymptote (log CFU/g), and upper asymptote (log CFU/g). The growth parameters were further analyzed using the square root model as a function of temperature. The model performance was validated with observed data, and the root mean square error (RMSE) was calculated. At $4^{\circ}C$, S. aureus cell growth was not observed on either processed cheese, but S. aureus growth on the mozzarella and cheddar cheeses was observed at $15^{\circ}C$, $25^{\circ}C$, and $30^{\circ}C$. The ${\mu}_{max}$ values increased, but LPD values decreased as storage temperature increased. In addition, the developed models showed acceptable performance (RMSE = 0.3500-0.5344). This result indicates that the developed kinetic model should be useful in describing the growth pattern of S. aureus in processed cheeses.

A study on the soil $CO_2$ Efflux in Quercus acutissima stand at Mt. Bulam urban nature park (불암산 도시자연공원 상수리나무군락의 토양호흡 특성 연구)

  • Kim, Jeong-Seob;Kong, Seok-Jun;Yang, Keum-Chul
    • Korean Journal of Environment and Ecology
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    • v.28 no.6
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    • pp.762-768
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    • 2014
  • The purpose of this study is to analyze the soil $CO_2$ efflux and micro-climate of a preserved forest area located in a Mt. bulam urban nature park Quercus acutissima stand from June 2013 to May 2014. The research showed that the soil and heterotrophic $CO_2$ efflux were $28.14{\pm}7.99$ to $582.47{\pm}318.51$ and $12.32{\pm}8.04$ to $415.71{\pm}159.92mg\;CO_2{\cdot}m^{-2}{\cdot}h^{-1}$, respectively. In addition the seasonal soil $CO_2$ efflux of summer, autumn, winter, spring were 1169.1, 454.81, 72.08 and $494.23g\;CO_2{\cdot}m^{-2}{\cdot}month^{-1}$, respectively. On the other hand, the seasonal heterotrophic $CO_2$ efflux were 526.20, 340.09, 45.13 and $374.9g\;CO_2{\cdot}m^{-2}{\cdot}month^{-1}$, respectively. Moreover, the annual soil and heterotrophic $CO_2$ efflux was found to be 2190.22 and $1286.33g\;CO_2{\cdot}m^{-2}{\cdot}yr^{-1}$, respectively. The exponential function was also utilized for the regression analysis in order to correlate the environmental factors with the soil and heterotrophic $CO_2$ efflux. It was found out that both air and soil temperatures were positively correlated with the soil and heterotrophic $CO_2$ efflux. However, the amount of solar radiation and soil moisture has showed low correlation for both types of $CO_2$ efflux. Contribution of root $CO_2$ efflux to total soil $CO_2$ efflux in this Quercus acutissima stand was 33.60%.

Weathering Sensitivity Characterization for Rock Slope, Considering Time Dependent Strength Changes (시간에 따른 강도변화를 고려한 암반사면의 풍화민감특성 분석)

  • Lee Jeong-Sang;Bae Seong-Ho;Yu Yeong-Il;Oh Joung-Bae;Lee Du-Hwa;Park Joon-Young
    • Tunnel and Underground Space
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    • v.16 no.2 s.61
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    • pp.109-134
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    • 2006
  • Rocks undergo weathering processes influenced by changing in pressure-temperature condition, atmosphere, underground water, and rainfall. The weathering processes change physical and chemical characteristics of the rocks. Once the rocks are weathered, the characteristics of them are changed and, because of the changing, several disadvantages such as rock slope failures and underground water spouts are can occur. Before we cut a large rock slope, therefore, we must analyze current weathering conditions of rocks and predict weathering processes in the future. Through the results of such analyses, we can judge reinforcement works. In order to comply with such requests, chemical weathering sensitivity analysis which was analyzed from chemical weathering velocities and other characteristics of rocks has been applied in several prior construction works in Korea. But, It is defective to use directly in engineering fields because it was developed for soils(not rocks), it has too mny factors must be considered and the relationships between the factors are not clear, and it is hard to explain the weathering processes in engineering time range. Besides above, because it has been used for isotropic rocks, this method is hard to apply to anisotropic rocks such as sedimentary rocks. Acceding to studies from morphologists (e.g. Oguchi et al., 1994; Sunamura, 1996; Norwick and Dexter, 2002), time dependent strength reduction influenced by weathering shows a negative exponential function form. Appling this relation, one can synthesize the factors which influence the weathering processes to the strength reduction, and get meaningful estimates in engineering viewpoint. We suggest this weathering sensitivity characterization method as a technique that can explain time dependent weathering sensitivity characteristics through strength changes and can directly applied the rock slope design.

Filtering Rate with Effect of Water Temperature and Size of Two Farming Ascidians Styela clava and S. plicata, and a Farming Mussel Mytilus edulis (수온과 개체크기에 따른 양식산 미더덕, 흰멍게, 진주담치의 여수율)

  • KIM Yong Sool;Moon Tae Seok
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.31 no.2
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    • pp.272-277
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    • 1998
  • Filtering rates of two farming ascidians Styela clava and S. plicata, and of a farming mussel Mytilus edulis were experimentally investigated with reference to effects of water temperature and size. Absorptiometric determinations of filtering rates were carried out in a closed system with experimental animals being decreased indicate dyes neutral red. Optical density (OD) of 440 nm in path length 22 mm cell used as the indication of food particles absorption was appeared directly in proportion with the concentration of neutral red dyes. The filtering rate F is calculated by Kim's equation $F\;=\;V(1-e^{-z})$, where V is the water volume ($\ell$) in the experimental jar, and Z is the decreasing coefficient of OD as meaning of instantaneous removal speed as In $C_t\;=\;In\;C_{o}-Z{\cdot}t$, in this formula $C_t$ is OD at the time t. Filtering rate of S. clava increased as exponential function with increasing temperature while not over critical limit, and the critical temperature for filtering rate was assumed to be between $28^{\circ}C$ and $29^{\circ}C$. In case of S. plicata, the critical temperature was to be below $13^{\circ}C$, and through the temperature range $15\~25^{\circ}C$ appeared a little difference in level even though with significant. M. edulis was not appear any significant effects by water temperature less than $29^{\circ}C$. The model formula derived from the results is as below, where F is filtering rate (${\ell}/hr/animal$), T is water temperature ($^{\circ}C$), and DW is dry meat weight (g) of experimental animal. $$S.\;Clava;\;F\;=\;e xp\;(0.119\;T-4.540)\;(DW)^{0.6745},\;T<29^{\circ}C$$) $$S.\;plicata;\;F\;=\;e xp\;(A_t)\;(DW)^{0.5675},\;(13^{\circ}C $$[A_t =-8.56+0.6805\;T-0.0153\;T^2]$$ $$M.\;edulis;\;F\;=\;0.3844\;(DW)^{0.4952},\;<29^{\circ}C$$)

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Follow-up Study of Children with Anthracycline Cardiotoxicity (소아 Anthracycline 심독성의 추적 관찰)

  • Kwon, Hyok Joo;Song, Young Hwan;Kang, Soo Jung;Kang, Hyoung Jin;Choi, Hyoung Soo;Bae, Eun Jung;Shin, Hee Young;Noh, Chung Il;Yun, Yong Soo;Ahn, Hyo Seop
    • Clinical and Experimental Pediatrics
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    • v.46 no.3
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    • pp.242-249
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    • 2003
  • Purpose : We studied the relationship between anthracycline cumulative dose and anthracycline cardiotoxicity in childhood cancer and followed up 40 children with anthracycline cardiotoxicity. Methods : A retrospective study was performed in 154 children who received anthracycline chemotherapy between January 1995 to December 2000. Cardiotoxicity was defined when the left ventricular fractional shortening(FS) was below 26%; it was divided into two groups, mild and severe cardiotoxicity, according to the FS. We followed up survivors with cardiotoxicity, and checked their present cardiac function by physical activity, echocardiography, electrocardiography(EKG) and chest X-ray. Results : Of the 154 children treated with anthracyclines, forty(26.0%) were diagnosed as cardiotoxicity. The incidence of cardiotoxicity increased in exponential fashion with increases in the cumulative dose of anthracyclines. There was minimal increase of incidence until a dose of $300mg/m^2$ after which the incidence increased rapidly. After mean $3.8{\pm}1.8year$ follow-up of 23 survivors with cardiotoxicity, FS increased significantly. EKG and chest X-rays were not helpful for the diagnosis of cardiotoxicity because of their low sensitivity and specificity. Conclusion : Although convenient, non-invasive and inexpensive, EKG and chest X-rays were not helpful for the follow-up of anthracycline cardiotoxicity. Almost all survivors with anthracycline cardiotoxicity have improved in both physical activity and echocardiographic findings after discontinuation of anthracyclines.

An Empirical Model for Forecasting Alternaria Leaf Spot in Apple (사과 점무늬낙엽병(斑點落葉病)예찰을 위한 한 경험적 모델)

  • Kim, Choong-Hoe;Cho, Won-Dae;Kim, Seung-Chul
    • Korean journal of applied entomology
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    • v.25 no.4 s.69
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    • pp.221-228
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    • 1986
  • An empirical model to predict initial disease occurrence and subsequent progress of Alternaria leaf spot was constructed based on the modified degree day temperature and frequency of rainfall in three years field experiments. Climatic factors were analized 10-day bases, beginning April 20 to the end of August, and were used as variables for model construction. Cumulative degree portion (CDP) that is over $10^{\circ}C$ in the daily average temperature was used as a parameter to determine the relationship between temperature and initial disease occurrence. Around one hundred and sixty of CDP was needed to initiate disease incidence. This value was considered as temperature threshhold. After reaching 160 CDP, time of initial occurrence was determined by frequency of rainfall. At least four times of rainfall were necessary to be accumulated for initial occurrence of the disease after passing temperature threshhold. Disease progress after initial incidence generally followed the pattern of frequency of rainfall accumulated in those periods. Apparent infection rate (r) in the general differential equation dx/dt=xr(1-x) for individual epidemics when x is disease proportion and t is time, was a linear function of accumulation rate of rainfall frequency (Rc) and was able to be directly estimated based on the equation r=1.06Rc-0.11($R^2=0.993$). Disease severity (x) after t time could be predicted using exponential equation $[x/(1-x)]=[x_0/(1-x)]e^{(b_0+b_1R_c)t}$ derived from the differential equation, when $x_0$ is initial disease, $b_0\;and\;b_1$ are constants. There was a significant linear relationship between disease progress and cumulative number of air-borne conidia of Alternaria mali. When the cumulative number of air-borne conidia was used as an independent variable to predict disease severity, accuracy of prediction was poor with $R^2=0.3328$.

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Environmental Controls on Net Ecosystem CO2 Exchange during a Rice Growing Season at a Rice-Barley Double Cropping Paddy Field in Gimje, Korea (김제 벼-보리 이모작 논에서 벼 재배기간 동안의 순생태계 CO2 교환량에 대한 환경요인 분석)

  • Shim, Kyo Moon;Min, Sung Hyun;Kim, Yong Seok;Jeong, Myung Pyo;Hwang, Hae;Kim, Seok Cheol;So, Kyu Ho
    • Journal of Climate Change Research
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    • v.5 no.1
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    • pp.71-81
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    • 2014
  • Using the Eddy Covariance technique, we analyzed seasonal variation in net ecosystem $CO_2$ exchange (NEE) and investigated the effects of environmental factors and aboveground biomass of rice on the $CO_2$ fluxes in a rice-barley double cropping paddy field of Gimje, Korea. Quality control and gap-filling were conducted before this investigation of the effects. The results have been showed that NEE, gross primary production (GPP), and ecosystem respiration (Re) during the rice growing period were -215.6, 763.9, and $548.3g\;C\;m^{-2}$, respectively. Relation between NEE and net radiation (Rn) could be described by a quadratic equation, and about 65 % of variation in NEE was explained by changes in Rn. On the other hand, an exponential function relating Re to soil temperature accounted for approximately 43 % of variation in Re under the flooded condition of paddy field. Aboveground biomass showed significant linear relationships with NEE ($r^2=0.93$), GPP ($r^2=0.96$), and Re ($r^2=0.95$), respectively.

Mechanical Characteristics of the Rift, Grain and Hardway Planes in Jurassic Granites, Korea (쥬라기 화강암류에서 발달된 1번 면, 2번 면 및 3번 면의 역학적 특성)

  • Park, Deok-Won
    • Korean Journal of Mineralogy and Petrology
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    • v.33 no.3
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    • pp.273-291
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    • 2020
  • The strength characteristics of the three orthogonal splitting planes, known as rift, grain and hardway planes in granite quarries, were examined. R, G and H specimens were obtained from the block samples of Jurassic granites in Geochang and Hapcheon areas. The directions of the long axes of these three specimens are perpendicular to each of the three planes. First, The chart, showing the scaling characteristics of three graphs related to the uniaxial compressive strengths of R, G and H specimens, were made. The graphs for the three specimens, along with the increase of strength, are arranged in the order of H < G < R. The angles of inclination of the graphs for the three specimens, suggesting the degree of uniformity of the texture within the specimen, were compared. The above angles for H specimens(θH, 24.0°~37.3°) are the lowest among the three specimens. Second, the scaling characteristics related to the three graphs of RG, GH and RH specimens, representing a combination of the mean compressive strengths of the two specimens, were derived. These three graphs, taking the various N-shaped forms, are arranged in the order of GH < RH < RG. Third, the correlation chart between the strength difference(Δσt) and the angle of inclination(θ) was made. The above two parameters show the correlation of the exponential function with an exponent(λ) of -0.003. In both granites, the angle of inclination(θRH) of the RH-graph is the lowest. Fourth, the six types of charts, showing the correlations among the three kinds of compressive strengths for the three specimens and the five parameters for the two sets of microcracks aligned parallel to the compressive load applied to each specimen, were made. From these charts for Geochang and Hapcheon granites, the mean value(0.877) of the correlation coefficients(R2) for total density(Lt), along with the frequency(N, 0.872) and density(ρ, 0.874), is the highest. In addition, the mean values(0.829) of correlation coefficients associated with the mean compressive strengths are more higher than the minimum(0.768) and maximum(0.804) compression strengths of three specimens. Fifth, the distributional characteristics of the Brazilian tensile strengths measured in directions parallel to the above two sets of microcracks in the three specimens from Geochang granite were derived. From the related chart, the three graphs for these tensile strengths corresponding to the R, G and H specimens show an order of H(R1+G1) < G(R2+H1) < R(R1+G1). The order of arrangement of the three graphs for the tensile strengths and that for the compressive strengths are mutually consistent. Therefore, the compressive strengths of the three specimens are proportional to the three types of tensile strengths. Sixth, the values of correlation coefficients, among the three tensile strengths corresponding to each cumulative number(N=1~10) from the above three graphs and the five parameters corresponding to each graph, were derived. The mean values of correlation coefficients for each parameter from the 10 correlation charts increase in the order of density(0.763) < total length(0.817) < frequency(0.839) < mean length(Lm, 0.901) ≤ median length(Lmed, 0.903). Seventh, the correlation charts among the compressive strengths and tensile strengths for the three specimens were made. The above correlation charts were divided into nine types based on the three kinds of compressive strengths and the five groups(A~E) of tensile strengths. From the related charts, as the tensile strength increases with the mean and maximum compressive strengths excluding the minimum compressive strength, the value of correlation coefficient increases rapidly.