197,131 research outputs found
Creation of peptide-pyrene organic luminophore with circularly polarized luminescence (CPL) properties from pyrenylalanine
No full text近畿大学Kindai University博士（工学）主査：須藤,篤教授 学内授与番号：工第220号 Mimura, Y; Nishikawa, T; Fuchino, R; Nakai, S; Tajima, N; Kitamatsu, M; Fujiki, M; Imai, Y; Organic and Biomolecular Chemistry, Issue 21, 2017, Yuki Mimura, Sayaka Kitamura, Motohiro Shizuma, Mizuki Kitamatsu, Michiya Fujiki, Yoshitane Imai, Chmistry Select, Volume2, Issue26, September 11, 2017, Pages 7759-7764, Yuki Mimura, Sayaka Kitamura, Motohiro Shizuma, Mizuki Kitamatsu, Yoshitane Imai, Organic & Biomolecular Chemistry, 37,2018, Yuki Mimura, Yuki Motomura, Mizuki Kitamatsu, Yoshitane Imai, TETRAHEDRON LETTERS, Volume 61, Issue 39, 24 September 2020, Yuki Mimura,Yuki Motomura,Mizuki Kitamatsu,Yoshitane Imai, ASIAN JOURNAL OF ORGANIC CHEMISTRY, 30 December 2020, Yuki Mimura, Yuki Motomura, Mizuki Kitamatsu, Yoshitane Imai, Processes, Volume 8, Issue 12 掲載application/pdfdoctoral thesi
A free boundary problem arising in a simplified tumour growth model of contact inhibition
No full textA nonlinear parabolic-hyperbolic system for contact inhibition of cell-growth
No full textWe consider a tumor growth model involving a nonlinear system of partial differential equations which describes the growth of two types of cell population densities with contact inhibition. In one space dimension, it is known that global solutions exist and that they satisfy the so-called segregation property: if the two populations are initially segregated - in mathematical terms this translates into disjoint supports of their densities - this property remains true at all later times. We apply recent results on transport equations and regular Lagrangian flows to obtain similar results in the case of arbitrary space dimension
Modeling contact inhibition of growth: traveling waves
No full textWe consider a simplified 1-dimensional PDE-model describing the effect of contact inhibition in growth processes of normal and abnormal cells. Varying the value of a significant parameter, numerical tests suggest two different types of contact inhibition between the cell populations: the two populations move with constant velocity and exhibit spatial segregation, or they stop to move and regions of coexistence are formed. In order to understand the different mechanisms, we prove that there exists a segregated traveling wave solution for a unique wave speed, and we present numerical results on the "stability" of the segregated waves. We conjecture the existence of a non-segregated standing wave for certain parameter values
Regulation of chloroplast development in relation to leaf age and N-, P- and S-nutrition
No full textDietz K-J, Schönrock M, Heilos L, Mimura T. Regulation of chloroplast development in relation to leaf age and N-, P- and S-nutrition. In: Tazawa M, Katsumi M, Masuda Y, Okamoto H, eds. Plant Water Relations and Growth Under Stress. Tokyo: Myu K.K.; 1989: 129-132
Standing and travelling waves in a parabolic-hyperbolic system
No full textWe consider a nonlinear system of partial differential equations which describes the dynamics of two types of cell densities with contact inhibition. After a change of variables the system turns out to be parabolic-hyperbolic and admits travelling wave solutions which solve a 3D dynamical system. Compared to the scalar Fisher-KPP equation, the structure of the travelling wave solutions is surprisingly rich and to unravel part of it is the aim of the present paper. In particular, we consider a parameter regime where the minimal wave velocity of the travelling wave solutions is negative. We show that there exists a branch of travelling wave solutions for any nonnegative wave velocity, which is not connected to the travelling wave solution with minimal wave velocity. The travelling wave solutions with nonnegative wave velocity are strictly positive, while the solution with minimal one is segregated in the sense that the product uv vanishes
A nonlinear parabolic-hyperbolic system for contact inhibition and a degenerate parabolic Fisher KPP equation
No full textWe consider a mathematical model describing population dynamics of normal and abnormal cell densities with contact inhibition of cell growth from a theoretical point of view. In the first part of this paper, we discuss the global existence of a solution satisfying the segregation property in one space dimension for general initial data. Here, the term segregation property means that the different types of cells keep spatially segregated when the initial densities are segregated. The second part is devoted to singular limit problems for solutions of the PDE system and traveling wave solutions, respectively. Actually, the contact inhibition model considered in this paper possesses quite similar properties to those of the Fisher-KPP equation. In particular, the limit problems reveal a relation between the contact inhibition model and the Fisher-KPP equation
Coexistence problem for two competing species models with density-dependent diffusion
No full textWe study the pattern formation of the Gause-Lotka-Volterra system of competition and nonlinear diffusion. This problem is related to segregation patterns between two competing species. It is shown that coexistence is possible by the effect of cross-population pressure in the situation where the inter-specific competition is stronger than the intra-specific one
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