Analysis of a Nonlocal and Nonlinear System for Cell-Cell Communication

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Acta Applicandae Mathematicae Pub Date : 2024-09-12 DOI:10.1007/s10440-024-00676-9

Diego Chamorro, Nicolas Meunier

引用次数: 0

Abstract

We consider a system of two nonlocal and nonlinear partial differential equations that describe some aspects of yeast cell-cell communication. We study local and global existence and uniqueness of solutions. We consider mild solutions and we perform bilinear and trilinear fixed point arguments in suitable functional spaces.

Abstract Image

查看原文本刊更多论文

细胞间通信的非局部非线性系统分析

我们考虑了描述酵母细胞间通信某些方面的两个非局部和非线性偏微分方程系统。我们研究了局部和全局解的存在性和唯一性。我们考虑温和解，并在合适的函数空间中进行双线性和三线性定点论证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.