start-ver=1.4
cd-journal=joma
no-vol=
cd-vols=
no-issue=
article-no=
start-page=
end-page=
dt-received=
dt-revised=
dt-accepted=
dt-pub-year=2024
dt-pub=20240405
dt-online=
en-article=
kn-article=
en-subject=
kn-subject=
en-title=
kn-title=Entire solutions with and without radial symmetry in balanced bistable reaction?diffusion equations
en-subtitle=
kn-subtitle=
en-abstract=
kn-abstract=Let n ? 2 be a given integer. In this paper, we assert that an n-dimensional traveling front converges to an (n?1)-dimensional entire solution as the speed goes to infinity in a balanced bistable reaction?diffusion equation. As the speed of an n-dimensional axially symmetric or asymmetric traveling front goes to infinity, it converges to an (n?1)-dimensional radially symmetric or asymmetric entire solution in a balanced bistable reaction?diffusion equation, respectively. We conjecture that the radially asymmetric entire solutions obtained in this paper are associated with the ancient solutions called the Angenent ovals in the mean curvature flows.
en-copyright=
kn-copyright=

en-aut-name=TaniguchiMasaharu
en-aut-sei=Taniguchi
en-aut-mei=Masaharu
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=1
ORCID=

affil-num=1
en-affil=Research Institute for Interdisciplinary Science, Okayama University
kn-affil=
END

start-ver=1.4
cd-journal=joma
no-vol=40
cd-vols=
no-issue=6
article-no=
start-page=3981
end-page=3995
dt-received=
dt-revised=
dt-accepted=
dt-pub-year=2020
dt-pub=202006
dt-online=
en-article=
kn-article=
en-subject=
kn-subject=
en-title=
kn-title=Axisymmetric traveling fronts in balanced bistable reaction-diffusion equations
en-subtitle=
kn-subtitle=
en-abstract=
kn-abstract=For a balanced bistable reaction-diffusion equation, the existence of axisymmetric traveling fronts has been studied by Chen, Guo, Ninomiya, Hamel and Roquejoffre [4]. This paper gives another proof of the existence of axisymmetric traveling fronts. Our method is as follows. We use pyramidal traveling fronts for unbalanced reaction-diffusion equations, and take the balanced limit. Then we obtain axisymmetric traveling fronts in a balanced bistable reaction-diffusion equation. Since pyramidal traveling fronts have been studied in many equations or systems, our method might be applicable to study axisymmetric traveling fronts in these equations or systems.
en-copyright=
kn-copyright=

en-aut-name=TaniguchiMasaharu
en-aut-sei=Taniguchi
en-aut-mei=Masaharu
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=1
ORCID=

affil-num=1
en-affil= Research Institute for Interdisciplinary Science, Okayama University
kn-affil=
en-keyword= Traveling front
kn-keyword= Traveling front
en-keyword= reaction-diffusion equation
kn-keyword= reaction-diffusion equation
en-keyword=axisymmetric
kn-keyword=axisymmetric
en-keyword=balanced
kn-keyword=balanced
END

start-ver=1.4
cd-journal=joma
no-vol=62
cd-vols=
no-issue=1
article-no=
start-page=197
end-page=210
dt-received=
dt-revised=
dt-accepted=
dt-pub-year=2020
dt-pub=202001
dt-online=
en-article=
kn-article=
en-subject=
kn-subject=
en-title=
kn-title=Existence and stability of stationary solutions to the Allen-Cahn equation discretized in space and time
en-subtitle=
kn-subtitle=
en-abstract=
kn-abstract= The existence and stability of the Allen?Cahn equation discretized in space and time are studied in a finite spatial interval. If a parameter is less than or equals to a critical value, the zero solution is the only stationary solution. If the parameter is larger than the critical value, one has a positive stationary solution and this positive stationary solution is asymptotically stable.
en-copyright=
kn-copyright=

en-aut-name=Amy Poh Ai Ling
en-aut-sei=Amy Poh Ai Ling
en-aut-mei=
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=1
ORCID=

en-aut-name=TaniguchiMasaharu
en-aut-sei=Taniguchi
en-aut-mei=Masaharu
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=2
ORCID=

affil-num=1
en-affil=Division of Mathematics and Physics, Graduate School of Natural Science and Technology, Okayama University
kn-affil=

affil-num=2
en-affil=Research Institute for Interdisciplinary Science, Okayama University
kn-affil=
en-keyword=Allen?Cahn equation
kn-keyword=Allen?Cahn equation
en-keyword=stationary solution
kn-keyword=stationary solution
en-keyword=comparison theorem
kn-keyword=comparison theorem
en-keyword=discretized
kn-keyword=discretized
END

start-ver=1.4
cd-journal=joma
no-vol=36
cd-vols=
no-issue=7
article-no=
start-page=1791
end-page=1816
dt-received=
dt-revised=
dt-accepted=
dt-pub-year=2019
dt-pub=20190527
dt-online=
en-article=
kn-article=
en-subject=
kn-subject=
en-title=
kn-title=Axially asymmetric traveling fronts in balanced bistable reaction-diffusion equations
en-subtitle=
kn-subtitle=
en-abstract=
kn-abstract= For a balanced bistable reaction-diffusion equation, an axisymmetric traveling front has been well known. This paper proves that an axially asymmetric traveling front with any positive speed does exist in a balanced bistable reaction-diffusion equation. Our method is as follows. We use a pyramidal traveling front for an unbalanced reaction-diffusion equation whose cross section has a major axis and a minor axis. Preserving the ratio of the major axis and a minor axis to be a constant and taking the balanced limit, we obtain a traveling front in a balanced bistable reaction-diffusion equation. This traveling front is monotone decreasing with respect to the traveling axis, and its cross section is a compact set with a major axis and a minor axis when the constant ratio is not 1.
en-copyright=
kn-copyright=

en-aut-name=TaniguchiMasaharu
en-aut-sei=Taniguchi
en-aut-mei=Masaharu
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=1
ORCID=

affil-num=1
en-affil=Research Institute for Interdisciplinary Science, Okayama University
kn-affil=
en-keyword=Traveling front
kn-keyword=Traveling front
en-keyword=Reaction-diffusion equation
kn-keyword=Reaction-diffusion equation
en-keyword=Asymmetric
kn-keyword=Asymmetric
en-keyword=Balanced
kn-keyword=Balanced
END

start-ver=1.4
cd-journal=joma
no-vol=260
cd-vols=
no-issue=5
article-no=
start-page=4301
end-page=4338
dt-received=
dt-revised=
dt-accepted=
dt-pub-year=2016
dt-pub=20160305
dt-online=
en-article=
kn-article=
en-subject=
kn-subject=
en-title=
kn-title=Convex compact sets in RN-1 give traveling fronts of cooperation-diffusion systems in R-N
en-subtitle=
kn-subtitle=
en-abstract=
kn-abstract=This paper studies traveling fronts to cooperation diffusion systems in R-N for N >= 3. We consider (N - 2)-dimensional smooth surfaces as boundaries of strictly convex compact sets in RN-1, and define an equivalence relation between them. We prove that there exists a traveling front associated with a given surface and show its stability. The associated traveling fronts coincide up to phase transition if and only if the given surfaces satisfy the equivalence relation. 
en-copyright=
kn-copyright=

en-aut-name=TaniguchiMasaharu
en-aut-sei=Taniguchi
en-aut-mei=Masaharu
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=1
ORCID=

affil-num=1
en-affil=
kn-affil=Department of Mathematics, Faculty of Science, Okayama University
en-keyword=Traveling front
kn-keyword=Traveling front
en-keyword=Cooperation diffusion system
kn-keyword=Cooperation diffusion system
en-keyword=Non-symmetric
kn-keyword=Non-symmetric
END

start-ver=1.4
cd-journal=joma
no-vol=8
cd-vols=
no-issue=3
article-no=
start-page=e58022
end-page=
dt-received=
dt-revised=
dt-accepted=
dt-pub-year=2013
dt-pub=20130307
dt-online=
en-article=
kn-article=
en-subject=
kn-subject=
en-title=
kn-title=Essential Role of the Zinc Transporter ZIP9/SLC39A9 in Regulating the Activations of Akt and Erk in B-Cell Receptor Signaling Pathway in DT40 Cells
en-subtitle=
kn-subtitle=
en-abstract=
kn-abstract=The essential trace element zinc is important for all living organisms. Zinc functions not only as a nutritional factor, but also as a second messenger. However, the effects of intracellular zinc on the B cell-receptor (BCR) signaling pathway remain poorly understood. Here, we present data indicating that the increase in intracellular zinc level induced by ZIP9/SLC39A9 (a ZIP Zrt-/Irt-like protein) plays an important role in the activation of Akt and Erk in response to BCR activation. In DT40 cells, the enhancement of Akt and Erk phosphorylation following BCR activation requires intracellular zinc. To clarify this event, we used chicken ZnT5/6/7-gene-triple-knockout DT40 (TKO) cells and chicken Zip9-knockout DT40 (cZip9KO) cells. The levels of Akt and ERK phosphorylation significantly decreased in cZip9KO cells. In addition, the enzymatic activity of protein tyrosine phosphatase (PTPase) increased in cZip9KO cells. These biochemical events were restored by overexpressing the human Zip9 (hZip9) gene. Moreover, we found that the increase in intracellular zinc level depends on the expression of ZIP9. This observation is in agreement with the increased levels of Akt and Erk phosphorylation and the inhibition of total PTPase activity. We concluded that ZIP9 regulates cytosolic zinc level, resulting in the enhancement of Akt and Erk phosphorylation. Our observations provide new mechanistic insights into the BCR signaling pathway underlying the regulation of intracellular zinc level by ZIP9 in response to the BCR activation.
en-copyright=
kn-copyright=

en-aut-name=TaniguchiMasanari
en-aut-sei=Taniguchi
en-aut-mei=Masanari
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=1
ORCID=

en-aut-name=FukunakaAyako
en-aut-sei=Fukunaka
en-aut-mei=Ayako
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=2
ORCID=

en-aut-name=HagiharaMitsue
en-aut-sei=Hagihara
en-aut-mei=Mitsue
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=3
ORCID=

en-aut-name=WatanabeKeiko
en-aut-sei=Watanabe
en-aut-mei=Keiko
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=4
ORCID=

en-aut-name=KaminoShinichiro
en-aut-sei=Kamino
en-aut-mei=Shinichiro
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=5
ORCID=

en-aut-name=KambeTaiho
en-aut-sei=Kambe
en-aut-mei=Taiho
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=6
ORCID=

en-aut-name=EnomotoShuichi
en-aut-sei=Enomoto
en-aut-mei=Shuichi
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=7
ORCID=

en-aut-name=HiromuraMakoto
en-aut-sei=Hiromura
en-aut-mei=Makoto
kn-aut-name=
kn-aut-sei=
kn-aut-mei=
aut-affil-num=8
ORCID=

affil-num=1
en-affil=
kn-affil=Graduate School of Medicine, Dentistry, and Pharmaceutical Sciences, Okayama University

affil-num=2
en-affil=
kn-affil=Multiple Molecular Imaging Research Laboratory, RIKEN Center for Molecular Imaging Science

affil-num=3
en-affil=
kn-affil=Multiple Molecular Imaging Research Laboratory, RIKEN Center for Molecular Imaging Science

affil-num=4
en-affil=
kn-affil=Multiple Molecular Imaging Research Laboratory, RIKEN Center for Molecular Imaging Science

affil-num=5
en-affil=
kn-affil=Multiple Molecular Imaging Research Laboratory, RIKEN Center for Molecular Imaging Science

affil-num=6
en-affil=
kn-affil=Graduate School of Biostudies, Kyoto University

affil-num=7
en-affil=
kn-affil=Graduate School of Medicine, Dentistry, and Pharmaceutical Sciences, Okayama University

affil-num=8
en-affil=
kn-affil=Multiple Molecular Imaging Research Laboratory, RIKEN Center for Molecular Imaging Science
END

start-ver=1.4
cd-journal=joma
no-vol=47
cd-vols=
no-issue=1
article-no=
start-page=455
end-page=476
dt-received=
dt-revised=
dt-accepted=
dt-pub-year=2015
dt-pub=201501
dt-online=
en-article=
kn-article=
en-subject=
kn-subject=
en-title=
kn-title=An (N-1)-dimensional convex compact set gives an N-dimensional traveling front in the Allen--Cahn equation
en-subtitle=
kn-subtitle=
en-abstract=
kn-abstract=This paper studies traveling fronts to the Allen?Cahn equation in RN for N ? 3. Let
(N ?2)-dimensional smooth surfaces be the boundaries of compact sets in RN?1 and assume that all principal curvatures are positive everywhere. We define an equivalence relation between them and prove that there exists a traveling front associated with a given surface and that it is asymptotically stable for given initial perturbation. The associated traveling fronts coincide up to phase transition if and only if the given surfaces satisfy the equivalence relation.
en-copyright=
kn-copyright=

en-aut-name=TaniguchiMasaharu
en-aut-sei=Taniguchi
en-aut-mei=Masaharu
kn-aut-name=’JŒû‰ëŽ¡
kn-aut-sei=’JŒû
kn-aut-mei=‰ëŽ¡
aut-affil-num=1
ORCID=

affil-num=1
en-affil=
kn-affil=Ž©‘R‰ÈŠwŒ¤‹†‰È
en-keyword=traveling front
kn-keyword=traveling front
en-keyword=Allen?Cahn equation
kn-keyword=Allen?Cahn equation
en-keyword=nonsymmetric
kn-keyword=nonsymmetric
END