On the p-irreducibility of quintic positive polynomials-Reference-Cited by-同舟云学术

On the p-irreducibility of quintic positive polynomials

Published:2024-08-18 Issue: Volume: Page:
ISSN:0272-4960
Container-title:IMA Journal of Applied Mathematics
language:en
Short-container-title:

Author:

Kamizawa Takeo¹,Jamiołkowski Andrzej²³,Matsuoka Takashi⁴,Watanabe Noboru⁵

Affiliation:

1. Department of Informatics and Data Science, Sanyo-Onoda City University , Daigakudori 1-1-1, Sanyo-Onoda 756-0884, Yamaguchi, Japan

2. Faculty of Physics , Astronomy and Informatics, , ul. Grudziądzka 5, 87-100, Toruń, Poland

3. Nicolaus Copernicus University , Astronomy and Informatics, , ul. Grudziądzka 5, 87-100, Toruń, Poland

4. School of General Education and Management Studies, Suwa University of Science , 5000-1 Toyohira, Chino 391-0292, Nagano, Japan

5. Department of Information Sciences, Tokyo University of Science , Yamazaki 2641, Noda 278-8510, Chiba, Japan

Abstract

Abstract In this paper we will discuss the p-reducibility/irreducibility of positive polynomials, and we will give some sufficient conditions for quintic polynomials to be p-reducible/irreducible. This research is closely related to some problems in bio-chemistry, especially to the cooperativity in bio-systems. We will study some applications of our results to these problems.

Publisher

Oxford University Press (OUP)

Link

https://academic.oup.com/imamat/advance-article-pdf/doi/10.1093/imamat/hxae021/59001447/hxae021.pdf

Reference31 articles.

1. Biological calorimetry: old friend, new insights;Abian;Biophysica,2023

2. On the Eneström-Kakeya theorem and its sharpness;Anderson;Linear Algebra Appl.,1979

3. Factorability of the allosteric binding polynomial and graphical manifestations of cooperativity in third degree saturation functions;Bardsley;J. Theor. Biol.,1977

4. Factorability of the hessian of the binding polynomial. The central issues concerning statistical ratios between binding constants, hill plot slope and positive and negative co-operativity;Bardsley;J. Theor. Biol.,1978

5. Relationships between the magnitude of hill plot slopes, apparent binding constants and factorability of binding polynomials and their hessians;Bardsley;J. Theor. Biol.,1980