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Author Koseki, Ken'iti|
Published Date 1961-03
Publication Title Mathematical Journal of Okayama University
Volume volume10
Issue issue2
Content Type Journal Article
JaLCDOI 10.18926/mjou/33083
Author Koseki, Ken'iti|
Published Date 1961-03
Publication Title Mathematical Journal of Okayama University
Volume volume10
Issue issue2
Content Type Journal Article
JaLCDOI 10.18926/mjou/33082
Author Otsuki, Tominosuke|
Published Date 1961-03
Publication Title Mathematical Journal of Okayama University
Volume volume10
Issue issue2
Content Type Journal Article
JaLCDOI 10.18926/mjou/33081
Author Nasu, Yasuo|
Published Date 1961-03
Publication Title Mathematical Journal of Okayama University
Volume volume10
Issue issue2
Content Type Journal Article
JaLCDOI 10.18926/mjou/33080
Author Ikeda, Takeshi| Mizukawa, Hiroshi| Nakajima, Tatsuhiro| Yamada, Hiro-Fumi|
Published Date 2008-05
Publication Title Advances in Applied Mathematics
Volume volume40
Issue issue4
Content Type Journal Article
JaLCDOI 10.18926/AMO/32275
FullText URL fulltext.pdf
Author Harada, Masakazu| Ishikawa, Hirofumi| Matsuoka, Hiroyuki| Ishii, Akira| Suguri, Setsuo|
Abstract

We developed a sensitive polymerase chain reaction (PCR) method for the detection of Plasmodium falciparum DNA from mosquitoes collected in the field. Plasmodium falciparum was detected from 15.2% of 1-parous mosquitoes, Anopheles farauti, in the Solomon Islands through use of the PCR method. A novel mathematical model was developed to estimate the sporozoite rate based on the malaria-positive rate of 1-parous mosquitoes. Using this model, the sporozoite rate of Anopheles farauti in the Solomon Islands was calculated to be 0.09%. This method enables estimation of the sporozoite rate based on a relatively small number (100-200) of mosquitoes compared with the number needed for the ELISA method.

Keywords sporozoite rate polymerase chain reaction (PCR) mathematical model Anopheles Plasmodium
Amo Type Article
Publication Title Acta Medica Okayama
Published Date 2000-08
Volume volume54
Issue issue4
Publisher Okayama University Medical School
Start Page 165
End Page 171
ISSN 0386-300X
NCID AA00508441
Content Type Journal Article
language English
File Version publisher
Refereed True
PubMed ID 10985176
Web of Science KeyUT 000089132800004
Author Takahashi, Norio| Nakata, Takayoshi| Fujiwara, K.| Imai, T.|
Published Date 1992-3
Publication Title Magnetics
Volume volume28
Issue issue2
Content Type Journal Article
Author Deng, Mingcong| Inoue, Akira| Ishikawa, Kazushi| Hirashima, Yoichi|
Published Date 2004-7
Publication Title American Control Conference
Volume volume4
Content Type Journal Article
Author Sasakura, Mariko| Yamasaki, Susumu|
Published Date 2004-7
Publication Title Information Visualisation
Content Type Journal Article
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/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