Literature DB >> 25128238

Effect of treatment on the global dynamics of delayed pathological angiogenesis models.

Leonid Berezansky1, Elena Braverman2, Lev Idels3.   

Abstract

For three different types of angiogenesis models with variable delays, we consider either continuous or impulse therapy that eradicates tumor cells and suppresses angiogenesis. For the cancer-free solution, explicit conditions of global stability for the continuous and impulsive systems are obtained, together with delay-dependent estimates for the rates of decay for the tumor volume and pathological angiogenesis.
Copyright © 2014 Elsevier Ltd. All rights reserved.

Entities:  

Keywords:  Angiogenesis; Global stability; Impulsive treatment; Systems of nonlinear nonautonomous delay differential equations

Mesh:

Year:  2014        PMID: 25128238     DOI: 10.1016/j.jtbi.2014.08.012

Source DB:  PubMed          Journal:  J Theor Biol        ISSN: 0022-5193            Impact factor:   2.691


  1 in total

1.  Graph analysis of cell clusters forming vascular networks.

Authors:  A P Alves; O N Mesquita; J Gómez-Gardeñes; U Agero
Journal:  R Soc Open Sci       Date:  2018-03-14       Impact factor: 2.963

  1 in total

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