Literature DB >> 26481497

Estimating Tumor Growth Rates In Vivo.

Anne Talkington, Rick Durrett.   

Abstract

In this paper, we develop methods for inferring tumor growth rates from the observation of tumor volumes at two time points. We fit power law, exponential, Gompertz, and Spratt’s generalized logistic model to five data sets. Though the data sets are small and there are biases due to the way the samples were ascertained, there is a clear sign of exponential growth for the breast and liver cancers, and a 2/3’s power law (surface growth) for the two neurological cancers.

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Year:  2015        PMID: 26481497      PMCID: PMC4764475          DOI: 10.1007/s11538-015-0110-8

Source DB:  PubMed          Journal:  Bull Math Biol        ISSN: 0092-8240            Impact factor:   1.758


  36 in total

1.  Predicting the course of Gompertzian growth.

Authors:  L Norton; R Simon; H D Brereton; A E Bogden
Journal:  Nature       Date:  1976-12-09       Impact factor: 49.962

2.  Conceptual and practical implications of breast tissue geometry: toward a more effective, less toxic therapy.

Authors:  Larry Norton
Journal:  Oncologist       Date:  2005 Jun-Jul

Review 3.  Three-dimensional cell cultures: from molecular mechanisms to clinical applications.

Authors:  W Mueller-Klieser
Journal:  Am J Physiol       Date:  1997-10

4.  Multiple regression analysis for assessing the growth of small hepatocellular carcinoma: the MIB-1 labeling index is the most effective parameter.

Authors:  Y Saito; Y Matsuzaki; M Doi; T Sugitani; T Chiba; M Abei; J Shoda; N Tanaka
Journal:  J Gastroenterol       Date:  1998-04       Impact factor: 7.527

5.  A Gompertzian model of human breast cancer growth.

Authors:  L Norton
Journal:  Cancer Res       Date:  1988-12-15       Impact factor: 12.701

6.  Does tumor growth follow a "universal law"?

Authors:  Caterina Guiot; Piero Giorgio Degiorgis; Pier Paolo Delsanto; Pietro Gabriele; Thomas S Deisboeck
Journal:  J Theor Biol       Date:  2003-11-21       Impact factor: 2.691

7.  A stochastic numerical model of breast cancer growth that simulates clinical data.

Authors:  J F Speer; V E Petrosky; M W Retsky; R H Wardwell
Journal:  Cancer Res       Date:  1984-09       Impact factor: 12.701

8.  Mammographic assessment of human breast cancer growth and duration.

Authors:  J A Spratt; D von Fournier; J S Spratt; E E Weber
Journal:  Cancer       Date:  1993-03-15       Impact factor: 6.860

9.  Growth of breast cancer recurrences assessed by consecutive MRI.

Authors:  Ingrid Millet; Emmanuelle Bouic-Pages; Denis Hoa; David Azria; Patrice Taourel
Journal:  BMC Cancer       Date:  2011-04-28       Impact factor: 4.430

Review 10.  Deciphering death: a commentary on Gompertz (1825) 'On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies'.

Authors:  Thomas B L Kirkwood
Journal:  Philos Trans R Soc Lond B Biol Sci       Date:  2015-04-19       Impact factor: 6.237

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  28 in total

1.  Mathematical Models for Tumor Growth and the Reduction of Overtreatment.

Authors:  Berdine L Heesterman; John-Melle Bokhorst; Lisa M H de Pont; Berit M Verbist; Jean-Pierre Bayley; Andel G L van der Mey; Eleonora P M Corssmit; Frederik J Hes; Peter Paul G van Benthem; Jeroen C Jansen
Journal:  J Neurol Surg B Skull Base       Date:  2018-07-23

2.  Mutant Evolution in Spatially Structured and Fragmented Expanding Populations.

Authors:  Dominik Wodarz; Natalia L Komarova
Journal:  Genetics       Date:  2020-07-13       Impact factor: 4.562

3.  Age and Tumor Volume Predict Growth of Carotid and Vagal Body Paragangliomas.

Authors:  Berdine L Heesterman; Lisa M H de Pont; Berit M Verbist; Andel G L van der Mey; Eleonora P M Corssmit; Frederik J Hes; Peter Paul G van Benthem; Jeroen C Jansen
Journal:  J Neurol Surg B Skull Base       Date:  2017-07-31

4.  Universal scaling laws rule explosive growth in human cancers.

Authors:  Víctor M Pérez-García; Gabriel F Calvo; Jesús J Bosque; Odelaisy León-Triana; Juan Jiménez; Julián Perez-Beteta; Juan Belmonte-Beitia; Manuel Valiente; Lucía Zhu; Pedro García-Gómez; Pilar Sánchez-Gómez; Esther Hernández-San Miguel; Rafael Hortigüela; Youness Azimzade; David Molina-García; Álvaro Martinez; Ángel Acosta Rojas; Ana Ortiz de Mendivil; Francois Vallette; Philippe Schucht; Michael Murek; María Pérez-Cano; David Albillo; Antonio F Honguero Martínez; Germán A Jiménez Londoño; Estanislao Arana; Ana M García Vicente
Journal:  Nat Phys       Date:  2020-08-10       Impact factor: 20.034

5.  Growth dynamics in naturally progressing chronic lymphocytic leukaemia.

Authors:  Michaela Gruber; Ivana Bozic; Ignaty Leshchiner; Dimitri Livitz; Kristen Stevenson; Laura Rassenti; Daniel Rosebrock; Amaro Taylor-Weiner; Oriol Olive; Reaha Goyetche; Stacey M Fernandes; Jing Sun; Chip Stewart; Alicia Wong; Carrie Cibulskis; Wandi Zhang; Johannes G Reiter; Jeffrey M Gerold; John G Gribben; Kanti R Rai; Michael J Keating; Jennifer R Brown; Donna Neuberg; Thomas J Kipps; Martin A Nowak; Gad Getz; Catherine J Wu
Journal:  Nature       Date:  2019-05-29       Impact factor: 49.962

Review 6.  Delineating the evolutionary dynamics of cancer from theory to reality.

Authors:  Ivana Bozic; Catherine J Wu
Journal:  Nat Cancer       Date:  2020-06-22

7.  The Cancer Stem Cell Fraction in Hierarchically Organized Tumors Can Be Estimated Using Mathematical Modeling and Patient-Specific Treatment Trajectories.

Authors:  Benjamin Werner; Jacob G Scott; Andrea Sottoriva; Alexander R A Anderson; Arne Traulsen; Philipp M Altrock
Journal:  Cancer Res       Date:  2016-02-01       Impact factor: 12.701

8.  Role of 3D volume growth rate for drug activity evaluation in meningioma clinical trials: the example of the CEVOREM study.

Authors:  Thomas Graillon; Loic Ferrer; Jason Siffre; Marc Sanson; Matthieu Peyre; Hadrien Peyrière; Grégory Mougel; Didier Autran; Emeline Tabouret; Dominique Figarella-Branger; Anne Barlier; Michel Kalamarides; Henry Dufour; Thierry Colin; Olivier Chinot
Journal:  Neuro Oncol       Date:  2021-07-01       Impact factor: 12.300

9.  Tumor growth rate in pancreatic neuroendocrine tumor patients undergoing PRRT with 177Lu-DOTATATE.

Authors:  Olof Joakim Pettersson; Katarzyna Fröss-Baron; Joakim Crona; Anders Sundin
Journal:  Endocr Connect       Date:  2021-04-22       Impact factor: 3.335

10.  Lung Cancer Radiotherapy: Simulation and Analysis Based on a Multicomponent Mathematical Model.

Authors:  Wen-Song Hong; Shun-Guan Wang; Gang-Qing Zhang
Journal:  Comput Math Methods Med       Date:  2021-04-29       Impact factor: 2.238

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