Literature DB >> 2307911

A deterministic approach to survival statistics.

M C Mackey1, J G Milton.   

Abstract

Survival functions of the form p(t) = exp[-(lambda t) gamma], gamma greater than 0 can be generated by deterministic nonlinear, asymptotically stable (chaotic) dynamical systems. These systems thus provide an alternative to stochastic interpretations of failure time data. We use this approach to analyze cancer patient survival statistics. In this manner we are able to obtain fresh insights into the implications of negative and positive clinical trials.

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Year:  1990        PMID: 2307911     DOI: 10.1007/bf00171517

Source DB:  PubMed          Journal:  J Math Biol        ISSN: 0303-6812            Impact factor:   2.259


  6 in total

1.  Fractal model of ion-channel kinetics.

Authors:  L S Liebovitch; J Fischbarg; J P Koniarek; I Todorova; M Wang
Journal:  Biochim Biophys Acta       Date:  1987-01-26

2.  Fractal time and 1/f noise in complex systems.

Authors:  M F Schlesinger
Journal:  Ann N Y Acad Sci       Date:  1987       Impact factor: 5.691

3.  The survival of patients with inoperable lung cancer: a large-scale randomized study of radiation therapy versus placebo.

Authors:  B Roswit; M E Patno; R Rapp; A Veinbergs; B Feder; J Stuhlbarg; C B Reid
Journal:  Radiology       Date:  1968-04       Impact factor: 11.105

4.  The extinction of slowly evolving dynamical systems.

Authors:  A Lasota; M C Mackey
Journal:  J Math Biol       Date:  1980-12       Impact factor: 2.259

5.  Timing of seizure recurrence in adult epileptic patients: a statistical analysis.

Authors:  J G Milton; J Gotman; G M Remillard; F Andermann
Journal:  Epilepsia       Date:  1987 Sep-Oct       Impact factor: 5.864

6.  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

  6 in total
  3 in total

1.  A model of ion channel kinetics based on deterministic, chaotic motion in a potential with two local minima.

Authors:  L S Liebovitch; F P Czegledy
Journal:  Ann Biomed Eng       Date:  1992       Impact factor: 3.934

2.  Control at stability's edge minimizes energetic costs: expert stick balancing.

Authors:  John Milton; Ryan Meyer; Max Zhvanetsky; Sarah Ridge; Tamás Insperger
Journal:  J R Soc Interface       Date:  2016-06       Impact factor: 4.118

3.  Walking on a Vertically Oscillating Treadmill: Phase Synchronization and Gait Kinematics.

Authors:  Jeff A Nessler; Severne Heredia; Jacques Bélair; John Milton
Journal:  PLoS One       Date:  2017-01-18       Impact factor: 3.240

  3 in total

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