By Henry N. Neufeld (auth.), Samuel Sideman D.Sc., Chem.Eng., Rafael Beyar MD, D.Sc. (eds.)

The ultrasound pace tomography permits size of cardiac geometries for numerous stages within the cardiac cycle. the current tomograph makes reconstruc­ tions at durations of 20 ms. as a result of an absence of transparent (intramural) landmarks (except the roots of the papillairy muscle), it really is tough to pinpoint spatial trajectories of specific issues within the center. accordingly, a moment process used to be built of injecting radiopaque markers within the middle and following their movement styles in the course of the cardiac cycle with aid of a biplane X-ray apparatus. the knowledge got with either equipment could be carried out in our finite aspect version of the center to compute intramural stresses and lines. the implications got sofar with the prolonged Darcy equation to account for the interplay of blood rheology and tissue mechanics glance promising. additional checking out with extra subtle topics than pointed out in determine nine is needed earlier than it is going to be carried out in our finite point version of the guts. We finish that evaluation of local cardiac functionality, together with local myocardial blood movement, calls for nonetheless a tremendous learn attempt however the effects acquired sofar justify, to our opinion, a continuation during this path. Acknowledgement The authors recognize Dr. C. Borst and coworkers for doing the animal experiments and prof. Van Campen and dr. Grootenboer for his or her participation is a few features of this work.

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Circ Res 43;92101 Bellamy RF (1980) Calculation of coronary vascular resistance. Cardiovas Res 14: 261-269 Berne RM, Rubio R (1979) Coronary circulations. In: Berne RM, SperJakis M, Geiger SR (eds), Handbook of Physiology. The Cardiovascular System: The Heart. An Physiol Soc Bethesda Maryland, pp 873-952 Beyar R, Sideman S (1984a) A model for left ventricular contraction combining the force length velocity relationship with the time varying elastance theory. Biophys J 45:1167-1177 Beyar R, Sideman S (1984b) A computer study of the left ventricular performance based on the fiber structure, sarcomere dynamics and transmural electrical propagation valocity.

After10ading conditions Figure 7. Some control aspects. References Akima H (1978) A method of bivariate interpolation and smooth surface fitting for irregularly distributed data points. ACM Trans Math Software 4:148-159 Barta E, Beyar R, Sideman S (1984) A mathematical model for the temperature distribution within the canine and human hearts. Int J Heat and Mass Transfer, in press Beyar R, Sideman S (1984a) A model for left ventricular contraction combining the force-lengthvelocity relationship with the time varying elastance theory.

We can make any assumption we want about these things and make 3-dimensional models, but I just want to stress the danger of modelling if your model parameters are not based on actual measurements. Just a general statement. ANS: I agree with your statement regarding the need for measurement but I believe that models help in understanding the general behaviour of highly complicated systems. Obviously, models have to be supported by experimental data which provide us with the actual judgement of our assumptions.

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