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JaLCDOI 10.18926/fest/12829
FullText URL 13_063_066.pdf
Author Akudago Apambilla John| Nishigaki, Makoto| Chegbeleh Larry Pax| Alim Md. Abdul| Komatsu, Mitsuru| Kumamaru, Koji|
Abstract Filters are essential in the design of embankments/dams, drains and wells for water and oil supplies. As a result of these functions, filter use is increasing. In order to use the required filter, various empirical relations have been given based on mathematical and field experience. However, these guidelines have not worked to perfection considering the fact that clogging within the filter face is a serious challenge. A short review on filter design criteria is given in this script coupled with a numerical formulation to propose the design limits.
Keywords filter particle clogging filter classification numerical model equation force of attraction
Publication Title 岡山大学環境理工学部研究報告
Published Date 2008-03
Volume volume13
Issue issue1
Start Page 63
End Page 66
ISSN 1341-9099
language English
File Version publisher
NAID 120002304909
JaLCDOI 10.18926/bgeou/12822
Title Alternative Formation of Mathematical Literacy and Progress of Teaching Study
FullText URL 137_153_166.pdf
Author Ojima, Taku|
Abstract 本年 4月に実施された「全国学力・学習状況調査」は、「学力」問題の新たな局面をひらいた。この調査が教育に携わる地域・家庭・学校に対して広範に大きな影響を及ぼすことが予想される。本論は、新たな全国調査と国際的な「学力調査」との関係、現在の教育改革の流れの仲の位置づけの検討を通して、授業研究が向かうべき新たな方向性について、とりわけ小学校の算数科授業を中心に検討を行うものである。
Keywords 全国学力・学習状況調査 PISA 授業研究
Publication Title 岡山大学教育学部研究集録
Published Date 2008-02-25
Volume volume137
Start Page 153
End Page 166
ISSN 0471-4008
language Japanese
File Version publisher
NAID 120002304835
Author Morisawa, Tetsuo| Kato, Kenji|
Published Date 2008-02
Publication Title 岡山大学農学部学術報告
Volume volume97
Issue issue1
Content Type Departmental Bulletin Paper
JaLCDOI 10.18926/11816
Title Alternative Mathematics and Mathematics Education
FullText URL 002_111_119.pdf
Author Takahashi, Yasuji|
Abstract With the 17-th century an essentially new period in the development of mathematics began. The circle of quantitative relations and spatial forms of mathematics studied now was no longer exhausted by numbers, quantities and geometric figures. On this basis there resulted the explicit introduction into mathematics of the ideas of motions and change. Being inseparably connected with the needs of natural science, the accumulation of quantitaive relations and spacial forms studied in mathematics was continuously expanding. However, in addition to this quantitative grouth, at the end of the 18-th and the beginning of the 19-th centuries a number of essentially new features were observed in the development of mathematics. The enormous amount of factual material which had been accumulated in the 17-th and 18-th centuries led to the demand for a deep logical analysis and unification of it from a new point of view. In essence, the relationship between mathematics and natural science was no loss close but was now increased in complexity. The majority of new theories arose from internal requirements of mathematics itself. However, the circle of applications to problems of science and technology was greately expanding at this time. In this way, as a result of both the internal requirements of mathematics and the new needs of science and technology, the circle of quantitative relations and spatial forms studied in mathematics was greately expanded: relations between elements of arbitrary groups, operations in function spaces, etc. are now parts of mathematics. In this paper, we are concerned with mathematical thought. Several ideas of great scientists are introduced, and we know the essence of mathematical thought. The power of mathematical thought can be brought up by means of a deep thought. The relationship between mathematical thought and creativity is also studied.
Keywords Mathematics Mathematics Education Mathematical Thought Creativity
Publication Title 岡山大学医療技術短期大学部紀要
Published Date 1992-02-05
Volume volume2
Start Page 111
End Page 119
ISSN 0917-4494
language Japanese
File Version publisher
NAID 120002313606
JaLCDOI 10.18926/fest/11613
FullText URL 001_055_064.pdf
Author Watanabe, Masaji|
Abstract We analyze some mathematical problems that arise in studies of phenomena observed in the cardiac action. We illustrate a method to characterize the response of a nonlinear oscillator to an external forcing, and introduce some numerical results. We also introduce some results of numerical computation in an example of a coupled system of an excitable system and a nonlinear oscillator.
Keywords periodic forcing nonlinear oscillators excitable systems couples systems.
Publication Title 岡山大学環境理工学部研究報告
Published Date 1996-03
Volume volume1
Issue issue1
Start Page 55
End Page 64
ISSN 1341-9099
language English
File Version publisher
NAID 120002313699
JaLCDOI 10.18926/fest/11610
FullText URL 001_047_053.pdf
Author Sasaki, Toru| Ishikawa, Hirofumi| Kajiwara, Tsuyoshi| Watanabe, Masaji|
Abstract We treat the problem of water pollution by the method of a mathematical model. We illustrate the method of analysis with Kojima Lake. We analyze in-flow and out-flow of the lake, compute numerical solutions of the governing equations of the water flow and the pollutant. The simulation leads to the conclusion concerning the figure of Kojima Lake.
Keywords Kojima lake Water analysis Finite element method
Publication Title 岡山大学環境理工学部研究報告
Published Date 1996-03
Volume volume1
Issue issue1
Start Page 47
End Page 53
ISSN 1341-9099
language English
File Version publisher
NAID 120002313787
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