Literature DB >> 1804444

Modeling tumor growth.

C P Calderón1, T A Kwembe.   

Abstract

The meaning and limitations of certain mathematical models of tumor growth are discussed, and some new derivations of the existing models are given. A theoretical justification for Gompertz's law of growth for tumors is presented. An age-dependent Von Bertalanffy's equation and diffusion models are introduced, and existence and uniqueness problems are addressed.

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Year:  1991        PMID： 1804444     DOI： 10.1016/0025-5564(91)90093-x

Source DB:  PubMed          Journal:  Math Biosci        ISSN： 0025-5564            Impact factor:   2.144


  6 in total

1.  Gompertzian growth pattern correlated with phenotypic organization of colon carcinoma, malignant glioma and non-small cell lung carcinoma cell lines.

Authors:  M A A Castro; F Klamt; V A Grieneisen; I Grivicich; J C F Moreira
Journal:  Cell Prolif       Date:  2003-04       Impact factor: 6.831

2.  Modeling the growth and morphogenesis of malignant tumors.

Authors:  V A Slepkov; V G Sukhovolskii; R G Khlebopros
Journal:  Dokl Biochem Biophys       Date:  2006 Nov-Dec       Impact factor: 0.788

3.  Hypothetical generalized framework for a new imaging endpoint of therapeutic activity in early phase clinical trials in brain tumors.

Authors:  Benjamin M Ellingson; Elizabeth R Gerstner; Andrew B Lassman; Caroline Chung; Howard Colman; Patricia E Cole; David Leung; Joshua E Allen; Manmeet S Ahluwalia; Jerrold Boxerman; Matthew Brown; Jonathan Goldin; Edjah Nduom; Islam Hassan; Mark R Gilbert; Ingo K Mellinghoff; Michael Weller; Susan Chang; David Arons; Clair Meehan; Wendy Selig; Kirk Tanner; W K Alfred Yung; Martin van den Bent; Patrick Y Wen; Timothy F Cloughesy
Journal:  Neuro Oncol       Date:  2022-08-01       Impact factor: 13.029

4.  Nutrient supply, cell spatial correlation and Gompertzian tumor growth.

Authors:  P Castorina; D Carco'
Journal:  Theory Biosci       Date:  2021-05-14       Impact factor: 1.919

5.  Noise-Driven Phenotypic Heterogeneity with Finite Correlation Time in Clonal Populations.

Authors:  UnJin Lee; John J Skinner; John Reinitz; Marsha Rich Rosner; Eun-Jin Kim
Journal:  PLoS One       Date:  2015-07-23       Impact factor: 3.240

6.  A mathematical model for the onset of avascular tumor growth in response to the loss of p53 function.

Authors:  Howard A Levine; Michael W Smiley; Anna L Tucker; Marit Nilsen-Hamilton
Journal:  Cancer Inform       Date:  2007-02-17
  6 in total

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