• Title/Summary/Keyword: $As_2O_3$

Search Result 20,267, Processing Time 0.053 seconds

Treatment of Mycobacterium avium Complex (MAC) Pulmonary Disease (Mycobacterium avium Complex (MAC) 폐질환의 치료성적)

  • Koh, Won-Jung;Kwon, O Jung;Kang, Eun Hae;Suh, Gee Young;Chung, Man Pyo;Kim, Hojoong;Chung, Myung Jin;Kim, Tae Sung;Lee, Kyung Soo;Lee, Nam Yong;Park, Young Kil;Bai, Gill Han
    • Tuberculosis and Respiratory Diseases
    • /
    • v.57 no.3
    • /
    • pp.234-241
    • /
    • 2004
  • Background : There has been a gradual increase in the number of newly diagnosed cases of Mycobacterium avium complex (MAC) pulmonary disease. However, the optimal therapeutic regimen for the disease has not yet established and there is no report about the treatment outcome of MAC pulmonary disease in Korea. This study examined the effect of clarithromycin-based regimen in patients with pulmonary MAC disease without a HIV infection. Materials and Methods : Fifty-six patients with pulmonary MAC disease were diagnosed according to the American Thoracic Society criteria from January 2000 to December 2003 at this hospital. Of these patients, 15 were treated with clarithromycin, rifampin, and ethambutol for more than 6 months, together with streptomycin initially (first 6 months) in 8 patients. Results : Six months after the treatment, the sputum cultures converted from positive to negative in 8 patients (53%) and the radiological findings improved in 10 (67%). At 12 months 4 patients (44%) achieved sputum negative conversion and 6 patients out of 9 patients (67%) who were treated for more than 12 months showed radiological improvement. Overall, the sputum findings converted to negative in nine patients (60%) who underwent medical treatment. A pulmonary resection was successfully performed in one patient. Only one patient discontinued the treatment due to side effects such as gastrointestinal intolerance and optic neuritis. Conclusion : A combined regimen containing clarithromycin is relatively safe and tolerable even in the elderly outpatients. However, the results of this combined chemotherapy were unsatisfactory and new companion drugs for MAC pulmonary disease are needed. A resection may be considered for localized disease.

The life and medical idea of Yoo Chang (유창(喩昌)의 생애(生涯)와 의학사상(醫學思想))

  • Kim, Soo-Yeol;Yoon, Chang-Yeol
    • Journal of Korean Medical classics
    • /
    • v.4
    • /
    • pp.101-126
    • /
    • 1990
  • At early Cheong (淸) dynasty, in medical aspect by dependent on practical studying attitude that must found a theory only by an evidence, there had been a tendancy that hoped direct research of sages' mind-eye by escaping the theory of individual classes since Geum-Won (金-元) dynasty. Yoo Chang (喩昌), born in Man-Ryeok (萬曆) 12th year of Myung (明) dynasty (A.D.1583) and dead in Gang-Hee (康熙) 3rd year of Cheong (淸) dynasty (A.D.1664). The results were as follows after studying his practical idea of medicine. 1. Yoo Chang, by recognizing the ${\ll}$Sang-Han-Ro${\gg}$ has lost its true meaning after commented by Wang Hee (王熙), Lim Eog (林億), Seong Moo-I (成無巳), etc. according to Bang Yoo-Jip's (方有執) Chak-Gan-Jung-Jeong (錯簡重訂) theory, he diversified the protocal of ${\ll}$Sang-Han-Ro${\gg}$ 397 method and arranged under Six Meridian part. (六經) 2. The theory of Sam-Gang-Jeong-Rip (三綱鼎立) can be summerized Gye-Ji (桂枝) syndrome which is the case of Wind (風) has injured Wi (衛) stage, Ma-hwang (麻黃) syndrome which is the case of Cold (寒) has injured Yeong (榮) stage, Dae-Cheong-Ryong (大靑龍) syndrome which is the case both of Wind-Cold (風寒) has injured Yeong-Wi (榮衛) stage, and there has been Sam-Gang-Jeong-Rip theory by anterior medical practitioners already but the person who formally used its Sam-Gang-Jeong-Rip term is Yoo Chang. 3. Yoo Chang seized the On Byeng (溫病) by dividing three category and in Byon-Jeung-Si-Chi (辨證施治) he influenced to many aspect of establishment of later Byon-Jeung system On-Byong (溫病의 辨證體系) pertaining to Triple-Warmer by O-Dang (吳瑭) introducing Triple-Wanner Theory. (三焦理論) 4. At Chu-Jo-Ron (秋燥論) of ${\ll}$EUi-Moon-Beop-Ryo${\gg}$, while ${\ll}$Nae-Gyeong${\gg}$ describing if humidity injury Lung, then occur a disorder in it, Yoo Chang recognized that of au tuam when dryness injure Lung there occure a disorder is it so he insisted that at this case, must use Cheong-Joe-Goo-Pye method (淸操救肺法) withherbs, pertaing to Gam-Yoo-Ja-Yoon(甘柔滋潤性) property and he invented Cheong-Joe-Goo-Pye-Tang. (淸操救肺湯) 5. Yoo Chang', so called, Dae-Gi (大氣) indicates Yang-Gi (陽氣) of chest, he insisted that man's creation and every physiological activity depends on maintainence of Dae-Gi, and it integrate Yeong-Gi (榮氣), Wea-Gi (衛氣), Jong-Gi (宗氣), Jang-Boo-Ji-Gi (臟腑之氣), Gyeong-Rak-Ji-Gi. (經絡之氣) 6. Yoo Chang's expression about partical function and character of stomach, not only bolster its theory of historical physician's expression, that is stomach is. foundatness of postnatal period, but also it has corresponding aspect with modern medicine and clinic. 7. Yoo Chang emphasized "if one cure a disease, be must understood the character of disease first and use drugs later" (先議病 後用藥) phrase about of drug usage, and his theory of Geup-Rew-Man-Joo method (急流挽舟) and three therapy of Simple Ascite (單腹腸) are all unique opinion based upon this phrase mentioned above. 8. Yoo Chang's practical idea of medicine greatly influenced to Jang Ro (張璐), Hwang Won-A (黃元御), Oh Eui-Rak (吳儀洛), Joo Yang-Joon (周揚俊), etc. and theory of Sam-Gang-Jeng-Rip (三綱鼎立), Triple Warmer Theory of On Byong (溫疫의 三焦論治), Chu-Jo-Ron (秋燥論), Dae-Gi-Ron (大氣論) etc. became important object to student of Sang-Han (傷寒) and On-Byeng. (溫病) 9. Yoo Chang's Writings has more practical meaning than other physician's, especially, later the idea of Sang-Han (傷寒) and On-Byong (溫病) greatly contributed to development of Sang-Han theory and formation of On-Byong theory.

  • PDF

The Association of Growth Rate with Body Weight or Shank Length at Birth in Broiler Chickens (육용계의 부하시 체중 혹은 정강이 길이와 성장률과의 상관관계에 관한 연구)

  • Suk Y. O.
    • Korean Journal of Poultry Science
    • /
    • v.31 no.3
    • /
    • pp.157-164
    • /
    • 2004
  • The objective of this study was to investigate the association of growth rate with body weight or shank length at birth in broiler chickens. Cobb and Ross breeds were used as experimental stocks and four groups were assigned in each breed; thirteen-male and twelve-female chicks(25 birds) were allocated in each group. The heavier body weight group(HBW) and the lighter body weight group(LBW) were established by birth weight. Whereas, the longer shank length group(LSL) and the shorter shank length group(SSL) were established by shank length at birth. The heavier group chicks in birth weight were significantly(P < 0.05) the longer in shank length at birth. The differences between HBW and LSL or between LBW and SSL in the mean 5-wk body weight of Cobb were not significantly different in each other; however, HBW and LSL were significantly(P < 0.05) heavier than LBW or SSL. Whereas, there were no significant differences in the mean 5-wk body weight of Ross although HBW was heavier by 13.1 g than LBW and LSL was heavier by 68.0 g than SSL. In the mean 5-wk shank length, the LSL of Cobb and Ross was longer by 2.9 mm and 1.3 mm than SSL, respectively; however, the significant(P < 0.05) difference was showed in Cobb only. In both breeds, the differences in the mean 5-wk shank length between HBW and LBW were not great. By the results of correlation analysis, the associations of the overall mean birth weights with the overall mean shank length at birth or the association of the 0~5 wk growth rate with the change of shank length during 0~5 wk showed highly significant(P < 0.01~0.001) in both breeds. The present study suggested that the selection based on birth weight could be at advantage due to easier and more accurate tool in using for the improvement growth rate in broiler chickens because the measurement of shank length takes individually longer and less accurate than the measurement of body weight.

Studies on the Simplified Hemagglutination Reaction to Pasteurella multocida and the Stabilization of Erythrocytes (Pasteurella multocida에 대(對)한 간이적혈구(簡易赤血球) 응집반응(凝集反應)과 적혈구(赤血球)의 안정화(安定化)에 관(關)한 연구(硏究))

  • Lee, Hak Cheul;Chung, Yung Gun;Kim, Kyo-Joon
    • Korean Journal of Veterinary Research
    • /
    • v.10 no.1
    • /
    • pp.11-23
    • /
    • 1970
  • Recently Carter(1952) reported the capsule antigens of Pasteurella multocida could be divided into four serological types A,B,C and D by means of precipitation tests. Subsequently he showed that the most sensitive for identification of these types involved the use of capsule substance adsorbed by erythrocytes in hemagglutination test. It may be somewhat difficult to conduct the hemagglutination test in small laboratory, because relatively large amounts of antisera and erythrocytes of the human O type are required for the test. A simple method for serological typing of P. multocida was the slide agglutination test employed by Little et al. (1943) and Namioka et al. (1962), but this method is still in controversy. The author tried adapting Carter's hemagglutination method to the slide method so called "micromethod technique", and studied on the stabilization of erythrocytes for use of slide hemagglutination to P. multocida although many invesigators reported the stabilization of erythrocytes. The results obtained are summarized as follows: 1. A simplified method (slide method) for capsule typing of the organism was developed by adapting Carter's hemagglutination reaction(tube method). Antibody-containing serum can be diluted serially on Boerner's microtest slide with capillary or serological pipetts with a considerable accuracy. The slide reaction can be carried out with case on the slide by adding $0.05m{\ell}$ of antigen-sensitized erythrocytes suspension diluted to one percent on $0.05m{\ell}$ of serially diluted antibody-containing sera, and the final result can be read after 60 minutes at the room temperature ($15^{\circ}C$). 2. It is difficult to determine superiority of inferiority between the slide method and the tube method on the pattern of the reaction of hemagglutination. 3. The pH range of 6.6 to 8.3 is optimal for the slide hemagglutination reaction. 4. The antigen-sensitization against erythrocytes at $37^{\circ}C$ is optimal for the slide hemagglutination. 5. Both the doses and concentration of antigen do not influence the antigen-adsorbing capacity of erythrocytes. 6. The reduction of antigen-sensitizing hours does not influence the antigen-adsorbing capacity of erythrocytes even 30 minutes. 7. The tannic acid treatment against formalinized and non-formalinized erythrocytes showed no effect on the reaction of hemagglutination. 8. The erythrocytes preserved at $4^{\circ}C$ in the ACD solution do not decrease the reactivity on the reaction of hemagglutination for 60 days, while they begin slight hemolysis 30 days after preserving. 9. The stable preparation of erythrocytes can be obtained by treating the cells at $37^{\circ}C$ for 20 hours with from 4 to 8 percent of formalin in saline or buffer. These cells can be preserved at $4^{\circ}C$ for more than 8 months experimented without hemolysis. With low concentration of formalin, the cells were not sufficiently stabilized resulting in the hemolysis after short period of preservation at $4^{\circ}C$. 10. The erythrocytes treated with 16 percent of formalin remain constantly or increase the reactivity for the reaction of hemagglutination. On the contrary, the cells treated with I to 8 percent of formalin decrease the reactivity. 11. There is no difference between nontreated fresh erythrocytes and the erythrocytes preserved in the ACD solution on the reactivity against the hemagglutination, and the erythrocytes treated with 16 percent of formalin showed the reactivity of higher level than that of the above two kinds of erythrocytes. 12. There is no difference between the saline and the isotonic buffer solution on the reaction of hemagglutination.

  • PDF

Analysis of the Korea Traditional Colors within the Spatial Arrangement and Form of the Traditional Garden of Seyeonjeong (보길도 세연정(洗然庭)의 공간구조 형식에 내재한 전통색채 분석)

  • Han, Hee-Jeong;Cho, Se-Hwan
    • Journal of the Korean Institute of Traditional Landscape Architecture
    • /
    • v.32 no.4
    • /
    • pp.14-23
    • /
    • 2014
  • The purpose of this study is to contribute in building credibility of the methodology of the appearance of the traditional colors and the interpretation of the meaning of those appearances by analyzing the spatial construction and configuration and the traditional colors that appear in spatial elements about the scenery component that appear in Seyeonjeong. We conducted a literature research about the traditional colors, the background of the creation of Seyeonjeong, and etc. For the contents for the empirical analysis, we took the scenery and space elements in the poems, such as Eobusasisa and O-u-ga, and the contents of poems related to ojeongsaek (five Korean traditional colors) based on the Yin-Yang and the Five Elements ideology Particularly, after dividing the spatial elements appearing in Seyoenjeong into visual, synesthetic, symbolic/cognitive spatial element, we further distinguished the visual space into positions and directions of the of the spaces and the scenery of the season; the synesthetic space into seasons, time and five senses; and the symbolic/cognitive space into chiljeong (or the seven passions) and sadan (or the four clues). Then we carried out the study by analyzing the correlation between the intention of the garden creation and the meaning of the spaces, through the analysis of ojeongsaek system for each spatial element. Firstly, spatial structure and format that appear in Seyeonjeong can be divided into two directional axes of southeast and northwest according to the flat form of the Seyeongjeong's rectangular palace, with Seyeongjoeng as the center. Secondly, in spatial component element, the frequencies of appearance of the traditional colors of Seyoenjeong are 33.2% for white, 20.8% for blue, 20.8% for black, 18.7% for red and 6.3% for yellow. Thirdly, based on the analysis of the traditional colors the most frequent appearance of 'white' left a room for interpretation like the creation of Seyeonjeong was to enjoy secular living without lingering political feelings so that the high mountains remain clear and clean. Also, the predominant frequency of appearance of blue, similar frequency of appearance of black and red, and the least frequent appearance of yellow is in agreement with or can be at least interpreted related to Yun Seon-do's intention for creating Seyeonjeong not for political rank or power but as a place to enjoy nature, through which he can build on his knowledge, and to lead rest of his life as a noble being through plays, like dancing and writing poems. Fourthly, these interpretations of the analysis of the frequency of appearance of the traditional colors of Seyeongjong shows the reliability, validity, and consistency of the methodology of the analysis of the frequency of appearance of the traditional colors and the interpretation of the meanings in the context that the color white appears most frequently in Soswewon as well and that the background life of the Soswewon's creator Yangsanbo can be interpreted in a similarly way. Above all, this study is significant from the fact that we proposed a theory about the method of analysis and interpretation of the traditional colors in a traditional landscape space. Moreover, there is a great significance of discovering that traditional colors appear in traditional spaces and this can be used as a methodological framework to interpret things like, intention for creation of (buildings/architectures).

Quality Characteristics and Retarding Retrogradation of Sponge Cakes containing Red Yeast Rice(Monascus nuruk) Flour (홍국(Monascus nuruk) 분말을 첨가한 스폰지 케이크의 품질 특성 및 노화 억제 분석)

  • Song, Ka-Young;Kim, Jong-Hee;O, Hyeon Bin;Zhang, Yangyang;Kim, Young-Soon
    • Culinary science and hospitality research
    • /
    • v.22 no.3
    • /
    • pp.11-21
    • /
    • 2016
  • This study investigated the quality characteristics and retarding retrogradation of sponge cakes made with red yeast rice (RYR) flour. RYR (Monascus nuruk) is known to help digestion, smooth blood flow, and have anti-cancer, anti-microbial, and inhibitory effects against biosynthesis of cholesterol and blood pressure. This studys aim' was to find the optimal proportion of RYR flour in sponge cake. RYR sponge cakes were prepared with various levels (0, 5, 10, 15 and 20%) replacement of wheat flour and were designated as the control (without RYR), RYR5, RYR10, RYR15 and RYR20 respectively. Specific gravity was the lowest in RYR15 at 0.57, and the baking loss rate was not significantly different among the samples (p<0.05). The dough yield was the highest in RYR15 at 96.61. The moisture contents was highest in order, control, RYR5, and RYR15 at 28.67%, 28.18%, and 26.82% respectively. The L-value of crust tended to increase according to the level of RYR, but the L-value of crumb decreased in accorddance with the the content of RYR. The a-value of crust also decreased according to the level of RYR, although the a-value of crumb increased in response to higher levels of RYR. The b-value tended to decrease with increases of RYR (p<0.05). RYR5 exhibited the highest pH at 8.63, compared with RYR15 (8.57). The hardness, which was measured after cooling for 1 hour, was the lowest in RYR15 at $163.33g/cm^2$ and the springiness was not different significantly (p<0.05). Cohesiveness was the highest in RYR10 at 133.06%. The chewiness was the highest in RYR10 at $391.63g{\cdot}cm$ and lowest in RYR15 ast $169.62g{\cdot}cm$. Avrami equation showed that RYR15 and RYR20 had the lowest Avrami exponent (n) at 0.0664 and 0.4983 respectively. Time constant (1/k) was the highest in RYR15 at 200.00. Sensory evaluation revealed that RYR15 was the highest in color (5.50), flavor (4.95), sweetness (4.90), chewiness (4.75), and overall acceptability (4.60).

A Survey on Patients도 Nursing Needs Following Discharge from Hospital (퇴원시 환자의 간호요구도 조사)

  • 이은옥;이선자;박성애
    • Journal of Korean Academy of Nursing
    • /
    • v.11 no.2
    • /
    • pp.33-54
    • /
    • 1981
  • The purposes of this study were to determine the relevant nursing needs of patients following discharge; to identify the degree of their nursing needs; to identify types and status of discharge order and information given to patients; and to determine their specific nursing needs according to their diagnosis. In addition, opinions toward home care services provided by hospitals or by public health nurses and appointment plans with their physicians were also asked in order to determine the necessity of follow-up care for the patient after discharge. Nine hundred and eighty eight subjects were collected among patients being discharged from one national university hospital and four city hospitals. Data were collected from June,1979 to December,1979 using questionnaires and interviews. On the bases of these data the following findings were observed; 1) Almost 40 percents of total subjects discharged from the hospital with some or great degree of nursing needs in general. The most problematic nursing needs were needs for comfort which include needs for releaving pain, for sound sleep and rest, because these needs can only be met by professional help. More than 50% of total subjects have this problem. 2) Needs for mental health, general metabolism, general hygiene and activities and safety were observed in more than 20 percent of subjects. 3) Discharge orders on diet and oral medication were recorded in patients' charts in 70% of all cases. However, more than fifty percents of patients have not been told these information from doctors or nurses. Even though some of them might have had appointment plans with their physicians, they would not keep the appointments unless they completely understood the necessity of the follow-up care. If they have not had any appointment or would not visit the out-patient clinic, there is no method of caring them and prerenting funther discomfort or complications. Even in injection, ski care, dressing and bath, only one thirds of the subjects having recorded discharge orders understood what they need after discharge. The rest of cases have not known what to do for their further care. 4) More than 80 percents and 70 percents of total subjects agreed to a system of home care services provided by hospitals or public health nurses respectively. That is, regardless of sources of medical expenses, most of patients wanted to be taken care of at home following discharge. 5) While more than half of the patients having benefit of medical insurance or paying fully by themselves had appointment plans with their physicians, only one thirds of the patients fully or partially paid by government had appointment plans with their physicians. These results ex-plain that the appointment plan is directly associated with their economic power. This indicates that the home care services are more needed to the people with lower economical status. 6) Those who have been in the hospital more than 24 days wanted !o have home care services more than those who had less hospital days. They also had more appointment plans than other groups. 7) More than 70 percents of the subjects who had been in a university hospital and approximately 30 percents of the subjects in the city hospitals had appointment plans with their physicians. 8) Those who had the cerebrovascular disease, cancer or hypertension demanded more nursing needs such as needs for comfort, for general metabolism and for mental health. 9) Factors which were associated with the degree of patients' nursing needs were age, duration of hospitalization, opinion toward home care services given by public health nurses, hospital appointments and types of hospital. That is, the older they were and the longer the periods of hospitalization were, the higher were their nursing needs. The more they had nursing needs, the more they wanted to have nursing services and had appointment plans. It can be concluded that there is a great demand for a positive and systematic home care services to the people who have been discharged from hospitals following critical care. This program is definitely demanded for the low income groups of people with less education with the financial assistance of the government or other funding agencies.

  • PDF

Behaviors of the High-profile Arch Soil-steel Structure During Construction (높은 아치형 지중강판 구조물의 시공 중 거동 분석)

  • 이종구;조성민;김경석;김명모
    • Journal of the Korean Geotechnical Society
    • /
    • v.19 no.6
    • /
    • pp.71-84
    • /
    • 2003
  • The metallic shell of soil-steel structures are so weak in bending moment that it should sustain the applied load by the interaction of the backfill soil around the structures. The shell can be subjected to excessive bending moment during side backfilling or under live-load when the soil cover is less than the minimum value. The current design code specifies the allowable deformation and Duncan(1979) and McGrath et al.(2001) suggested the strength analysis methods to limit the moments by the plastic capacity of the shell. However, the allowable deformation is an empirically determined value and the strength analysis methods are based on the results of FE analysis, hence the experimental verification is necessary. In this study, the full-scale tests were conducted on the high-profile arch to investigate its behaviors during backfilling and under static live-loads. Based on the measurements, the allowable deformation of the tested structure could be estimated to be 1.45% of rise, which is smaller than the specified allowable deformation. The comparison between the measurements and the results of two strength analyses indicate that Duncan underestimates the earth-load moment and overestimates the live-load moment, while McGrath et al. predicts both values close to the actual values. However, as the predicted factors of safeties using two methods coincide with the actual factor of safety, it can be concluded that both methods can predict the structural stability under live-loads adequately when the cover is less than the minimum.

Effects of Cyanobacterial Bloom on Zooplankton Community Dynamics in Several Eutrophic Lakes (부영양호수에서 남조류 bloom이 동물플랑크톤 군집변화에 미치는 영향)

  • Kim, Bom-Chul;Choi, Eun-Mi;Hwang, Soon-Jin;Kim, Ho-Sub
    • Korean Journal of Ecology and Environment
    • /
    • v.33 no.4 s.92
    • /
    • pp.366-373
    • /
    • 2000
  • Toxin production and low digestibility of cyanobacteria are known to cause low exploitability of cyanobacteria by zooplankton. In this study, we compared relative tolerance and compatibility of zooplankton taxa in eight eutrophic lakes, exposed to frequent cyanobacterial blooms, uring the summer season of 1999. Microcystis, Anabaena, Oscillatoria and Phormidium were common cyanobacteria in all lakes. with relatively lower $NO_3-N$ concentration (<0.2 mgN/l) and TN/TP ratio (<20), compared with other lakes where colonial cyanobacteria dominated. Rotifers were dominant zooplankton in most lakes, and among them, Keratella, Polyarthra and Hexathra were common. The laboratory feeding experiment showed that relative copepods that greatly decreased (90%) after 4 day when cyanobacteria were used as the food source of zooplankton, while rotifers gradually increased with the change of dominant taxa from Keratella through Pompholyx to Monostyla. These results suggest that rotifers may be capable of coexisting with cyanobacteria by exploiting them for the food source.

  • PDF

Analysis on Efficiency of Hierarchical Structure for a Grid Transit Network (격자형 대중교통 노선망의 위계구조 효율성 분석)

  • Park, Jun-Sik;Go, Seung-Yeong;Jeon, Gyeong-Su
    • Journal of Korean Society of Transportation
    • /
    • v.25 no.4
    • /
    • pp.123-133
    • /
    • 2007
  • This study analyzed whether a transit network with hierarchy is efficient or not, and if transit network hierarchy has cost efficiency, then which condition guarantees the efficiency of the transit network hierarchy. The authors modeled the total cost of the transit network and suggested the conditions in which the transit network hierarchy has cost efficiency through comparing the cost of the transit network with and without hierarchy. The efficiency of transit network hierarchy is guaranteed when the travel cost savings induced by using a higher hierarchy transit network is larger than the increasing non-travel cost, which is the sum of access cost, waiting cost, and operating cost, induced by the introduction of a higher hierarchy transit network. This result is consistent with common sense and with the concept of cost and benefit analysis. If a passenger traveling within the area divided by a higher hierarchy transit network uses only a lower hierarchy transit network and the passenger traveling out of the area divided by the higher hierarchy transit network uses both lower and higher hierarchy transit networks, the travel demand using the higher hierarchy transit network is inversely proportional to the square of the line spacing. This means that the transit network becomes more efficient and small increases of travel demand guarantee the efficiency of the transit network hierarchy as the connectivity of the network becomes higher. This result shows that transit networks have economies of aggregation. This study is the first analytical research on transit network hierarchy and is expected to be a basis for numerical research. However, numerical research should complement this study, since analytical research has some limitations for considering a real network.