Document Detail


Analytic considerations and axiomatic approaches to the concept cell death and cell survival functions in biology and cancer treatment.
MedLine Citation:
PMID:  25416979     Owner:  NLM     Status:  In-Data-Review    
Abstract/OtherAbstract:
This study contains a discussion on the connection between current mathematical and biological modeling systems in response to the main research need for the development of a new mathematical theory for study of cell survival after medical treatment and cell biological behavior in general. This is a discussion of suggested future research directions and relations with interdisciplinary science. In an effort to establish the foundations for a possible framework that may be adopted to study and analyze the process of cell survival during treatment, we investigate the organic connection among an axiomatic system foundation, a predator-prey rate equation, and information theoretic signal processing. A new set theoretic approach is also introduced through the definition of cell survival units or cell survival units indicating the use of "proper classes" according to the Zermelo-Fraenkel set theory and the axiom of choice, as the mathematics appropriate for the development of biological theory of cell survival.
Authors:
Ioannis Gkigkitzis; Ioannis Haranas; Carlos Austerlitz
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Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Advances in experimental medicine and biology     Volume:  822     ISSN:  0065-2598     ISO Abbreviation:  Adv. Exp. Med. Biol.     Publication Date:  2015  
Date Detail:
Created Date:  2014-11-24     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0121103     Medline TA:  Adv Exp Med Biol     Country:  United States    
Other Details:
Languages:  eng     Pagination:  85-105     Citation Subset:  IM    
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