scholarly journals Mathematical Model of Sino-Atrial Node Used in Assessment of Neuropathy and Cardiac Health in Diabetics

2015 ◽  
Vol 4 (2) ◽  
pp. 6-14
Author(s):  
Manjusha Joshi ◽  
K.D. Desai ◽  
M.S. Menon
Keyword(s):  
Mathematical Model ◽  
Cardiac Health

A Constitutive Description of Contracting Papillary Muscle and Its Implications to the Dynamics of the Intact Heart

1987 ◽  
Vol 109 (3) ◽  
pp. 181-191 ◽  
Author(s):  
J. G. Pinto
Keyword(s):  
Mathematical Model ◽  
Papillary Muscle ◽  
Isometric Tension ◽  
Simple Mathematical Model ◽  
Cardiac Health ◽  
Inotropic State ◽  
Pressure Time ◽  
Tension Time ◽  
Time Record ◽  
Intact Heart

A simple mathematical model capable of simulating the major biomechanical attributes of contracting cardiac muscle is presented. This model is based on the phenomenological observations on heart muscle. The form of the equation can be readily extended to describe the pressure-volume-time-velocity of the intact heart as well, thus allowing a direct bridge between the dynamics of papillary muscle and the dynamics of intact heart. Parameters that are sensitive to inotropic state of the muscle can be obtained directly from the isometric tension-time record of the muscle or the isovolumic pressure-time record of the ventricle. These parameters have the potential to serve as quantitative measures of cardiac health.

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

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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