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JaLCDOI 10.18926/fest/11578
Title Alternative Consideration for the correlation between basicity of oxide glasses and chemical shift of O1s binding energy in XPS
FullText URL 003_145_156.pdf
Author Nanba, Tokuro| Miura, Yoshinari|
Abstract Binding energy of O1s core electron measured in XPS is a candidate to determine new scale of Lewis basicity of oxide ion in glass. Some mathematical expressions for the basicity or XPS chemical shift, such as charge parameter and optical basicity, are compared with experimental O1s binding energy in binary alkali oxide glasses. The expressions so far in use need some modification in parameters. A new empirical expression introduced in this paper gives new concept and universal scale of basicity.
Publication Title 岡山大学環境理工学部研究報告
Published Date 1998-01-14
Volume volume3
Issue issue1
Start Page 145
End Page 156
ISSN 1341-9099
language Japanese
File Version publisher
NAID 120002313359
JaLCDOI 10.18926/fest/11557
Title Alternative Mathematical analysis of virus infectious diseases by ordinary differential equations
FullText URL 005_023_030.pdf
Author Sasaki, Toru| Kajiwara, Tsuyoshi|
Abstract Some mathematical models describing interaction of virus and cells in vivo are reviewed. Similar models using systems of ordinary differential equations can be used for the analysis of dynamics of virus and cells for different kinds of virus. Models for human immunodeficiency virus, hepatitis C virus and hepatitis B virus are treated here. Although models are similar, different approximations can reduce the systems to the explicitly solvable forms. The solutions obtained here can be used to estimate biological parameters.
Keywords Virus Mathematica models HIV HCV HBV
Publication Title 岡山大学環境理工学部研究報告
Published Date 2000-02-29
Volume volume5
Issue issue1
Start Page 23
End Page 30
ISSN 1341-9099
language Japanese
File Version publisher
NAID 120002313498
JaLCDOI 10.18926/fest/11555
Title Alternative Simulations of Heel Impact by Viscoelastic Models
FullText URL 005_013_021.pdf
Author Kokubo, Masahito| Sasaki, Toru|
Abstract The purpose of this study is to make some body models with viscoelastic model, to simulate the heel impact and to obtain the ground reaction force. In this paper, we build up body models of linear viscoelastic elements and mass elements to simulate heel impact. Here we consider the systems of linear differential equations numerically for the preparation of mathematical analysis in future. The simplest model with two mass elements is hardly able to simulate the heel impact if the rate of mass of elements is realistic. The models with more elements are suitable to simulate for actual rate of weight of body segments. The model with three mass elements makes it possible to guess the force to each body segment.
Keywords Running Heel Impact Viscoelastic Model Biomechanics
Publication Title 岡山大学環境理工学部研究報告
Published Date 2000-02-29
Volume volume5
Issue issue1
Start Page 13
End Page 21
ISSN 1341-9099
language Japanese
File Version publisher
NAID 120002313531
JaLCDOI 10.18926/fest/11553
Title Alternative Mathematical analysis of pathogenesis of viral hepatitis.
FullText URL 005_007_011.pdf
Author Sasaki, Toru| Kajiwara, Tsuyoshi|
Abstract Simple mathematical models are considered to explain the pathogenesis of viral hepatitis. Dynamics of populations of liver cells and two virus strains are analyzed qualitatively. This analysis suggests the possibility that the viral mutation causes the hepatitis from the state of carrier.
Keywords hepatitis mathematical model mutation
Publication Title 岡山大学環境理工学部研究報告
Published Date 2000-02-29
Volume volume5
Issue issue1
Start Page 7
End Page 11
ISSN 1341-9099
language Japanese
File Version publisher
NAID 120002313400
JaLCDOI 10.18926/fest/11548
FullText URL 005_001_006.pdf
Author Ishikawa, Hirofumi| Ishii, Akira| Kaneko, Akira|
Abstract We have estimated the degree of transmission of Plasmodium vivax malaria in Vanuatu Islands, eastern Melanesia with the aid of the computer simulations, which has been carried out on the platform of a mathematical transmission model. The malaria caused by Plasmodium vivax has a relapse character, which arises from hypnozoites in the liver. This phenomen makes a malaria control strategy difficult. When the mass drug administration is executed, the prevalence of Plasmodium vivax decreases moderately as compared with that of Plasmodium falciparum, and it recovers before long being affected by the relapses. The simulations suggest that one cannot attain the eradication of Plasmodium vivax malaria without the concentrated execution of the mass drug administration and the vector control that fairly reduces the vactorial capacity.
Keywords Plasmodium vivax computer simulation hypnozoite mass drug administration relapse
Publication Title 岡山大学環境理工学部研究報告
Published Date 2000-02-29
Volume volume5
Issue issue1
Start Page 1
End Page 6
ISSN 1341-9099
language English
File Version publisher
NAID 120002313438
JaLCDOI 10.18926/fest/11524
Title Alternative Speeds of travelling wave solutions in a mathematical model of some infectious disease in predator-prey system
FullText URL 006_017_023.pdf
Author Kajiwara, Tsuyoshi| Okita, Tomoki|
Abstract In this paper we construct a simple mathematical model for infectious disease in a pradator-prey system, and study the speeds of travelling wave solutions of this model. We present a method of estimation of speeds and make a numerical study about this matter.
Keywords Travelling wave Infectious disease
Publication Title 岡山大学環境理工学部研究報告
Published Date 2001-02-28
Volume volume6
Issue issue1
Start Page 17
End Page 23
ISSN 1341-9099
language Japanese
File Version publisher
NAID 120002313731
JaLCDOI 10.18926/fest/11515
Title Alternative Stability analysis of mathematical models of infectious disease
FullText URL 007_017_021.pdf
Author Murase, Akiko| Sasaki, Toru| Kajiwara, Tsuyoshi|
Abstract Dynamics of infectious disease in vivo is described by coupled differential equations. Stability analysis of the complicated systems is difficult without computer calculation, while stability analysis is, in general, important to investigate qualitative behaviour of models. Liu analyzes stability of systems describing HIV dynamics in vivo with a symbolic calculation software. The same method is used for stability analysis of a mathematical model of malaria.
Keywords mathematical model infectious disease dynamics in vivo stability analysis symbolic calculation
Publication Title 岡山大学環境理工学部研究報告
Published Date 2002-03-22
Volume volume7
Issue issue1
Start Page 17
End Page 21
ISSN 1341-9099
language Japanese
File Version publisher
NAID 120002313783
JaLCDOI 10.18926/fest/11512
FullText URL 007_007_016.pdf
Author Ishii, Hiroyuki| Ishikawa, Hirofumi| Ohga, Yukio|
Abstract We have constructed a stochastic transmission model for lymphatic filariasis caused by Wuchereria bancrofti, and have analyzed its prevalence using computer simulations. In Pondicherry, India, where Wuchereria bancrofti has been spreading, the Vector Control Research Centre has carried out an integrated vector control strategy against malaria and filariasis for five years (1981~1985) with good results reported. Our study was aimed at evaluating the effect of vector control in the context of Pondicherry, and in particular the continuous effect for the post-control period. In this paper, we have used the LYMFASIM model proposed by Plaisier et al., the carrying capacity model by Rochet and the population dynamics model by us. In the LYMFASIM model and the carrying capacity model, we have modified the quantities of parameters in order to fit the models to the parasitological, entomological and epidemiological data in Pondicherry. We have combined the improved LYMFASIM model with the other models. Through simulations of our combinated model, we have compared the prevalence rate in the human population as well as the mean number of L3-larvae in the mosquito population, with and without vector control. As a result, the simulations show that the prevalence rate would be restrained for a long time even if only a small continuous effect of the vector control remains in the post-control period. However, the mean number of L3-larvae would recovered within a short time comparatively. This is because of the differences in life spans between human and mosquito as well as the incubation periods between the adult worm in the human host and L3-larvae in the mosquito vector.
Keywords Lymphatic filariasis mathematical model Pondicherry vector control Wuchereria bancrofti
Publication Title 岡山大学環境理工学部研究報告
Published Date 2002-03-22
Volume volume7
Issue issue1
Start Page 7
End Page 16
ISSN 1341-9099
language English
File Version publisher
NAID 120002313471
JaLCDOI 10.18926/fest/11510
FullText URL 007_001_005.pdf
Author Ohga, Yukio| Ishikawa, Hirofumi| Doi, Rikuo| Ishii, Hiroyuki|
Abstract In our study, we have investigated the influence of the intermediate host population density on the prevalence of Echinococcus multilocularis in the definitive host using a mathematical model of transmission. For the vole population (intermediate host) in Hokkaido, a model of population dynamics has been constructed in this paper which follows the seasonal and annual fluctuations. In the northeastern area, the vole density appears to fluctuate periodically with a 4 year cycle. The prevalence of Echinococcus multilocularis in the fox population (definitive host) can be affected by the density of vole through the fox ingesting infectious voles. Therefore we have prepared a food habit function of foxes and the logistic distribution has been proposed. The simulations which have been carried out using the mathematical model for transmission of Echinococcus multilocularis together with the vole dynamics have indicated that the prevalence in foxes is correlated and synchronized with the population dynamics of vole. In addition they have also made us recognize that it is necessary to introduce a suitable food habit function into the transmission model.
Keywords Echinococcus multilocularis food habit of foxes Hokkaido population dynamics vole
Publication Title 岡山大学環境理工学部研究報告
Published Date 2002-03-22
Volume volume7
Issue issue1
Start Page 1
End Page 5
ISSN 1341-9099
language English
File Version publisher
JaLCDOI 10.18926/fest/11487
FullText URL 008_001_007.pdf
Author Tsunekuni Yasuhiro| Ohga Yukio| Ishikawa, Hirofumi|
Abstract In 1990s, there were rapid increases in the number of HIV epidemics and AIDS cases in Thailand, Southeast Asia. In particular the risk of HIV infection was very high among female prostitutes who played a large part in the transmission of HIV infection. We formulated a mathematical model for the transmission of HIV in prostitutes. We carried out the model simulations to analyze the incipient spread of HIV infection and the effect of AIDS prevention methods in prostitutes. The simulation of our model indicates that even if the effect of AIDS prevention methods such as the recommendation of condom use for commercial sex workers would block the transmission at rate by 70%, the elimination of the HIV epidemic is still beyond attainment.
Keywords AIDS HIV prostitution Thailand transmission model
Publication Title 岡山大学環境理工学部研究報告
Published Date 2003-03
Volume volume8
Issue issue1
Start Page 1
End Page 7
ISSN 1341-9099
language English
File Version publisher
NAID 120002314019
JaLCDOI 10.18926/fest/11481
FullText URL 010_009_011.pdf
Author Kajiwara, Tsuyoshi| Sasaki, Toru|
Abstract An elementary proof of permanence for a simple mathematical model proposed by Nowak and Bangham. In many papers, permanence property is proved by theorems established by the general theory of dynamical system. In this paper, we present an elementary proof only using differential inequalities and the theory of linear differential equations with constant coefficients.
Keywords Permanence dynamical system pathogen
Publication Title 岡山大学環境理工学部研究報告
Published Date 2005-02-28
Volume volume10
Issue issue1
Start Page 9
End Page 11
ISSN 1341-9099
language English
File Version publisher
NAID 120002313596
JaLCDOI 10.18926/fest/11455
FullText URL 009_045_051.pdf
Author Iuchi Takuma| Kajiwara, Tsuyoshi|
Abstract Qualitative analysis for the model of HIV infection in vivo presented by Perelson and Nelson are developed. The local stability analysis is done for the interior equilibrium, and it is shown that, for some paramter value, the interior equilibrium can be unstable and a Hopf bifurcation can occur. It is shown that the boundary equilibrium is globally asymptotically stable. Last, it is shown that this system is permanent.
Keywords HIV Mathematical model Stability Liapunov function
Publication Title 岡山大学環境理工学部研究報告
Published Date 2004-02-27
Volume volume9
Issue issue1
Start Page 45
End Page 51
ISSN 1341-9099
language English
File Version publisher
NAID 120002313809
JaLCDOI 10.18926/fest/11425
Title Alternative A mathematical model of Plasmodium falciparum transmission incorporating drug resistance: Simulations of the Solomon Islands situation
FullText URL 012_019_027.pdf
Author Chen, Tiantian| Nishina, Tomohiko| Hisakane, Naoto| Ishikawa, Hirofumi|
Abstract The Solomon Islands are known as a high endemic region of malaria. The resistance of Plasmodium falciparum to chloroquine has been confirmed since 1980 in the Solomon Islands, and the spread of chloroquine resistance is a big hurdle to malaria control. We have constructured the model for P. falciparum making allowance of chloroquine resistance. We distinguish the infection of resistance strains from that of sensitive strains in both the human and the vector populations. Since the overall parasite rate and the parasite rate of gametocytes for P. falciparum are strongly dependent on age, the human population is divided into 7 age groups in the model. The epidemiological parameters are determined by malariological survey in northeastern Guadalcanal (Ishii et al.) and the sporozoite rate in vector population is assumed as 0.1% based on the entomological study (Harada et al.) Our study aims at estimating the effect of mass drug administration under the presence of drug-resistance and also analyzing the escalation of drug-resistance through the transmission model for P. falciparum which can deal with chloroquine resistance.
Keywords Solomon Islands Plasmodium falciparum drug resistance model
Publication Title 岡山大学環境理工学部研究報告
Published Date 2007-03-15
Volume volume12
Issue issue1
Start Page 19
End Page 27
ISSN 1341-9099
language Japanese
File Version publisher
NAID 120002313858
JaLCDOI 10.18926/fest/11422
FullText URL 011_001_007.pdf
Author Fujita Kazutoshi| Tian Tian Chen| Nishina Tomohiko| Ishikawa, Hirofumi|
Abstract Plasmodium vivax re-emerged in 1993 near the demilitarized zone (DMZ) in South Korea, although P. vivax malaria disappeared in South Korea in 1979. The re-emergence of malaria in South Korea is believed to have originated from infection by mosquitoes from North Korea across the DMZ. The principal vector of P. vivax in the Korean Peninsula is Anopheles sinensis. The density of An. sinensis has a peak during the second week of July. The North Korean strain of P. vivax has 2 characteristics: a wide distribution of the terms of relapse and a high rate of relapse. Therefore, we may well wonder why the incidence of malaria is concentrated in summer, especially in August. Mathematical models in North Korea and South Korea were constructed in which the South Korean model was affected unidirectionally by the North Korean model. We carried out simulations of the model for the Paju-shi and Yonchon-gun situations near the DMZ region. The simulation results followed the time-course of the re-emergence of P. vivax there, and revealed the mechanism of the elevation of the incidence of P. vivax in summer.
Keywords DMZ Korea model Plasmodium vivax re-emergence
Publication Title 岡山大学環境理工学部研究報告
Published Date 2006-03-15
Volume volume11
Issue issue1
Start Page 1
End Page 7
ISSN 1341-9099
language English
File Version publisher
NAID 40007297549
JaLCDOI 10.18926/fest/11421
FullText URL 012_001_006.pdf
Author Watanabe, Masaji| Kawai, Fusako|
Abstract A mathematical model for exogenous depolymerization with time dependent degradation rate is analyzed in order to study the biodegradation of polyethylene glycol. The weight distribution with respect to the molecular weight before and after cultivation of microorganisms were analyzed an inverse problem to determine the time dependent degradation rate. Numerical techniques to solve the inverse problem and to simulate the transition of the weight distribution are described.
Keywords biodegradation polyethylene glycol mathematical model numerical simulation
Publication Title 岡山大学環境理工学部研究報告
Published Date 2007-03-15
Volume volume12
Issue issue1
Start Page 1
End Page 6
ISSN 1341-9099
language English
File Version publisher
NAID 120002313599
JaLCDOI 10.18926/11404
Title Alternative Problems and Reviews on the Skill Graded and Small Grouped Class Teaching in the Arithmetic and Mathematics Class
FullText URL 005_139_149.pdf
Author Kurosaki, Toyoo|
Abstract ゆとりの中で「生きる力」の育成を目指す学校教育は、「知識・技術」といった量的な学力よりも、「関心・意欲」、「思考力」といった質的な学力を重視するという方向を打ち出した。算数・数学科では、その意図実現のために指導内容が30%も大幅に縮減された。このため、当初から大幅な縮減は、算数・数学の学力低下を招くことが危惧され、それが実現に生じているのが現状である。こうした学力低下の歯止め方策として、算数・数学科の授業研究では、習熟度別・少人数指導の在り方の成否が問われている。そこで、本研究では、学校現場が取り組んでいる習熟度別・少人数指導の課題と展望を述べる。
Keywords 習熟度 (skill graded) 最低基準 (minimum standard) マスタリーラーニング (mastery learnings) 教師のアカウンタビリティー (teachers' accountability)
Publication Title 岡山大学教育実践総合センター紀要
Published Date 2005
Volume volume5
Issue issue1
Start Page 139
End Page 149
ISSN 1346-3705
language Japanese
File Version publisher
NAID 120002313355
JaLCDOI 10.18926/11358
Title Alternative An Approach to the Integrated Study through the Teaching of Elementary Mathematics
FullText URL 001_051_058.pdf
Author Kurosaki, Toyoo|
Abstract 2002年の学習指導要領完全実施に向けて新しく創設された「総合的な学習の時間」の積極的な取り組みがなされている。とりわけ、国際理解教育や情報教育といった横断的・総合的な課題に関するものが脚光を浴びているように思われる。算数教育でも「総合的な学習の時間」との関連が取りざたされ、算数科から如何に「総合的な学習の時間」にアプローチすればよいかが研究の大きな柱の1つとなっている。そこで、算数科からどのような「総合的な学習の時間」へのアプローチが考えられるのかを考察する。
Keywords 総合的な学習の時間 (Integrated Study) 算数教育 (Teaching of Elementary Mathematics)
Publication Title 岡山大学教育実践総合センター紀要
Published Date 2001
Volume volume1
Issue issue1
Start Page 51
End Page 58
ISSN 1346-3705
language Japanese
File Version publisher
NAID 120002313746
Author Goda, Noriko|
Published Date 2005-03-25
Publication Title
Content Type Thesis or Dissertation
Author 新村 秀一|
Published Date 2000-03-25
Publication Title
Content Type Thesis or Dissertation
Author Nagai, Akihiro| Yomota, Akira| Yamauchi, Satoru|
Published Date 1986
Publication Title 岡山大学農学部学術報告
Volume volume68
Issue issue1
Content Type Departmental Bulletin Paper