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/11423
FullText URL 012_007_018.pdf
Author Imura Keigo| XiaoDong Wang| Ishikawa, Hirofumi|
Abstract The elliptic curve cryptosystem is a popular cryptosystem. Its safety depends on the difficulty of the elliptic curve discrete logarithm problem (ECDLP). From the viewpoint of ECDLP, it is very interesting to determine the order of elliptic curves. We tabulate the order of elliptic curves on the finite field of characteristic two using the Schoof algorithm, which is an efficient algorithm to decide orders. The Schoof algorithm is carried out by O(log(8)q). Because the calculation of y(q2) occupies most of the time used to execute the Schoof algorithm, it is necessary to reduce the amount of y(q2) calculations.
Keywords elliptic curve order division polynomial Schoof algorithm finite field of characteristic two
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 7
End Page 18
ISSN 1341-9099
language English
File Version publisher
NAID 120002313838
JaLCDOI 10.18926/fest/11424
FullText URL 011_009_014.pdf
Author Nishina Tomohiko| Tian Tian Chen| Fujita Kazutoshi| Ishikawa, Hirofumi|
Abstract The red fox (Vulpes vulepes) and the vole ( Clethrionomys refocanus) are principal hosts of Echinococcus multilocularis in Hokkaido, Japan. How protoscoleces increases in voles and the level of immunity in foxes remain unknown because of the lack of survey data, so that it is important to clarify these mecahnisms in order to develop control strategies against E. multilocularis. In this study, the growth of protoscoleces in the infected voles was approximated as the logistic curve, the level of immunity in the fox was assumed to depend on the experience of the infection with E. multilocularis, and the worm burden in the fox was assumed to be governed by the amount of protoscoleces in the vole. Our model showed that the population densities of the hosts and the level of immunity influenced the prevalence of the E. multilocularis.
Keywords Echinococcus multilocularis protoscoleces immunity worm burden stochastic model
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 9
End Page 14
ISSN 1341-9099
language English
File Version publisher
NAID 120002314034
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/11449
FullText URL 009_019_026.pdf
Author Sakamura Kenichi| Dong Wang Xiao| Ishikawa, Hirofumi|
Abstract We have investigated the linear cryptanalysis of AES cipher in this article. As the previous encryption standard DES could be broken by the linear cryptanalysis, NIST decided a new encryption standard AES in 2000. We try to analyze one and two rounds AES cipher by the method of the linear cryptanalysis and learn the limits of this mehtod. AES cipher provides a conspicuous difficulty in breaking its keys because of small bias of its S-box. We report the experimental results of success rate and are led to conclusion that this method would not work well on more than 3 rounds to break keys.
Keywords AES Chosen plaintext attack Linear cryptanalysis
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 19
End Page 26
ISSN 1341-9099
language English
File Version publisher
NAID 120002313376
JaLCDOI 10.18926/fest/11479
FullText URL 010_001_007.pdf
Author Wang Xiao Dong| Ishikawa, Hirofumi|
Abstract The one-way hash function plays an important role in digital signatures and message authentication from the viewpoint of security. No effective attacking method has been discovered to the algorithm of hash function standard. In this study, we tried to attack SHA-256 in encryption mode using linear and differential cryptanalysis to solve a private key. We deduced that an estimate of the private key would require huge known and chosen plaintexts in both linear and differential cryptanalysis, and that it would be difficult to decipher SHA-256 in view of the required computation.
Keywords differential cryptanalysis encryption mode hash function linear cryptanalysis SHA-256
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 1
End Page 7
ISSN 1341-9099
language Japanese
File Version publisher
NAID 120002313630
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/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/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/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/11554
FullText URL 003_005_009.pdf
Author Ishikawa, Hirofumi|
Abstract We investigate the Maass wave form for Γ(0)(2) whose eigenvalue of Laplacian Δ is 1/4-π(2)/log(2)(√2-1). In this note, we study the methods of calculation of its Fourier coefficients and carry out the numerical calculations.
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 5
End Page 9
ISSN 1341-9099
language English
File Version publisher
NAID 120002313535
JaLCDOI 10.18926/fest/11560
FullText URL 003_031_036.pdf
Author Sasaki, Toru| Kajiwara, Tsuyoshi| Ishikawa, Hirofumi|
Abstract We have computed the phase of spreading contaminations in Kojima Lake by using the upwind-type finite element method. We have treated the two cases: the pollutant flows from the Sasagase river and from the Kurashiki River. We see that the upwind-type finite element method is effective in both cases, when the diffusion constant is quite small.
Keywords Upwind-type Finite element method Kojima Lake
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 31
End Page 36
ISSN 1341-9099
language English
File Version publisher
NAID 120002313715
JaLCDOI 10.18926/fest/11595
FullText URL 002_009_017.pdf
Author Ishikawa, Hirofumi|
Abstract In this paper, we have calculated the elliptic singularities of the symmetric Hilbert modular group defined over a real quadratic number field. Applying those to the dimension formula, we tabulate the dimensions of the space of symmetric Hilbert modular forms of weight two satisfying certain cusp condition.
Publication Title 岡山大学環境理工学部研究報告
Published Date 1997-01-10
Volume volume2
Issue issue1
Start Page 9
End Page 17
ISSN 1341-9099
language English
File Version publisher
NAID 120002313960
JaLCDOI 10.18926/fest/11606
FullText URL 001_027_041.pdf
Author Ishikawa, Hirofumi|
Abstract The author has proved the dimension formula of the space of the Hilbert modular type cusp forms of weight two. We present further refinements of the dimension formula for a real quadratic number field Q(√D), and calculate it effectively. We tabulate the dimensions for square-free natural numbers D below 104 with the computer assistance. We also determine all the spaces of their dimension below 10.
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 27
End Page 41
ISSN 1341-9099
language English
File Version publisher
NAID 120002313526
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/12816
Title Alternative Statistical modeling for analysis of malaria epidemic behavior at Ishigaki Island
FullText URL 13_007_015.pdf
Author Ueki, Masao| Nakagawa, Yuuki| Fueda, Kaoru| Ishikawa, Hirofumi|
Abstract It is necessary to consider a stochastic variability in modeling malaria epidemic behavior since the malaria infection cycle essentially depends on stochastic elements. For this requirement, we need to construct an appropriate statistical model from available data in advance. In this report, we provide some statistical models for the analysis of malaria epidemic behavior at Ishigaki Island. These models can be used for recurrence of past malaria epidemic and prediction of future malaria epidemic at Ishigaki Island.
Keywords Anopheles minimus, generalized liner model Ishigaki Island malaria epidemic behavior prediction stochastic model
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 7
End Page 15
ISSN 1341-9099
language Japanese
File Version publisher
NAID 120002304876
JaLCDOI 10.18926/fest/12819
FullText URL 13_023_033.pdf
Author Zenihana, Tomohiro| Hisakane, Naoto| Morimoto, Tomoko| Ishikawa, Hirofumi|
Abstract We carried out simulations of various scenarios for bioterrorist attacks using smallpox occurring in a virtual area set up on the basis of the census of Okayama-city, Japan, which predict the effect of control strategies against bioterrorism and the loss scale. On simulating a smallpox epidemic, we followed the method of the Individual Based Model stochastically, which can treat the population in the virtual area as individuals. Individuals have personal information, behavior patterns, and interactions among social groups. We took into consideration the influence of residual immunity due to past vaccination. We considered Traced Vaccination (TV) and Mass Vaccination (MV) strategies against bioterrorism. We investigated the effect of TV and MV strategies on the suppression of smallpox epidemics. Consequently, the TV strategy was found to have higher effectiveness than the MV strategy.
Keywords smallpox bioterrorism Individual Based Model Traced Vaccination Mass Vaccination
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 23
End Page 33
ISSN 1341-9099
language English
File Version publisher
NAID 120002304844
JaLCDOI 10.18926/fest/15042
FullText URL 014_001_012.pdf
Author Morimoto, Tomoko| Zenihana, Tomohiro| Maitani, Yusuke| Ishikawa, Hirofumi|
Abstract The spread of the highly pathogenic avian influenza (H5N1) among domestic poultry and wild birds has caused global concern over the outbreak of an influenza pandemic of H5N1. The "Pandemic Influenza Preparedness Action Plan" determines the strategy against an influenza pandemic in Japan. Simulations were carried out using an individual based model (IBM). The IBM targeted a virtual area with a population of 100,000 using the demographic data of Sapporo-city, Hokkaido. The effectiveness of targeted antiviral prophylaxis (TAP), geographical targeted antiviral prophylaxis (GTAP), school closure, and pre-pandemic vaccination were explored. Moreover, this study focused on infections among children, who have a high attack rate, and analyzed the effectiveness of interventions for school-age targeted antiviral prophylaxis (STAP). Consequently, TAP, which is recommended by the "Pandemic Influenza Preparedness Action Plan", was found to have high effectiveness in the suppression of the outbreak. Moreover, this study showed the importance of intervention among children, such as STAP and school closure, to prevent the spread of H5N1 influenza.
Keywords Influenza Pandemic H5N1 Individual Based Model (IBM) Sapporo
Publication Title 岡山大学環境理工学部研究報告
Published Date 2009-03-16
Volume volume14
Issue issue1
Start Page 1
End Page 11
ISSN 1341-9099
language English
File Version publisher
NAID 120002307373
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 Nishina, Tomohiko| Ishikawa, Hirofumi|
Published Date 2008-02-01
Publication Title Parasitology Research
Volume volume102
Issue issue3
Content Type Journal Article