Group classification and solutions of a mathematical model from tumour biology

2021 ◽  
Vol 10 (4) ◽  
pp. 605-615
Author(s):  
N.H. Ibragimov ◽  
R. Tracina ◽  
E.D. Avdonina
Keyword(s):  
Mathematical Model ◽  
Group Classification ◽  
Tumour Biology

Mathematical model of hit phenomena and its application to movie advertisement

2008 ◽  
Author(s):  
Ishii Akira ◽  
Yoshida Narihiko ◽  
Hayashi Takafumi ◽  
Umemura Sanae ◽  
Nakagawa Takeshi
Keyword(s):  
Mathematical Model

A MATHEMATICAL MODEL FOR PARTICLE CLASSIFICATION

1988 ◽  
Vol 8 (2) ◽  
pp. 133-144 ◽  
Author(s):  
Chunxuan Jiang
Keyword(s):  
Mathematical Model ◽  
Particle Classification

Imprecision of Laboratory Determinations and Diagnostic Accuracy: Theoretical Considerations

1974 ◽  
Vol 13 (03) ◽  
pp. 151-158 ◽  
Author(s):  
D. A. B. Lindbebo ◽  
Fr. R. Watson
Keyword(s):  
Mathematical Model ◽  
Diagnostic Accuracy ◽  
Diagnostic Process ◽  
Clinical Laboratories ◽  
Non Linear ◽  
Theoretical Considerations ◽  
Made In

Recent studies suggest the determinations of clinical laboratories must be made more precise than at present. This paper presents a means of examining benefits of improvement in precision. To do this we use a mathematical model of the effect upon the diagnostic process of imprecision in measurements and the influence upon these two of Importance of Diagnosis and Prevalence of Disease. The interaction of these effects is grossly non-linear. There is therefore no proper intuitive answer to questions involving these matters. The effects can always, however, be calculated.Including a great many assumptions the modeling suggests that improvements in precision of any determination ought probably to be made in hospital rather than screening laboratories, unless Importance of Diagnosis is extremely high.

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