The reaction-cross-diffusion models for tissue growth
Yükleniyor...
Dosyalar
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
John Wiley and Sons Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The application of mathematics to fields such as biology, medicine, and biotechnology has resulted in quantitative relations, and mathematical biology, an interdisciplinary branch, has emerged. The considered models of cell/tissue growth are determined by cross-reaction-diffusion equations with possible transitions between malignant cells with different growth rates or healthy cells. For the considered models, the exact solutions in the explicit form were not obtained in the existing literature to our knowledge. Our main aim is to fill this gap by revealing their exact solutions. The obtained results have a major role in the literature so that the considered models are seen in a large scale of applications. © 2021 John Wiley & Sons, Ltd.
Açıklama
Anahtar Kelimeler
bio-system dynamics, exact solutions, reaction–cross-diffusion equations, tissue growth model, Reaction rates, Cross reaction, Cross-diffusion models, Exact solution, Explicit form, Malignant cells, Mathematical biology, Quantitative relations, Tissue growth, Linear equations
Kaynak
Mathematical Methods in the Applied Sciences
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
44
Sayı
18
