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Graphics and Haptics for Simulation Models

2019, Signals and Systems in Biomedical Engineering: Physiological Systems Modeling and Signal Processing

Abstract

That virtual reality is possible is an important fact about the fabric of reality. It is the basis not only of computation, but of human imagination and external experience, science and mathematics, art and fiction.-David Deutsch The availability of cheap computing power makes computational models available easily to physiologists. Modern computers have not only good computational capabilities but also very good graphical displays, thereby making the output of models convenient for non-mathematical users. Graphical presentation itself uses visual analogy for physical behavior. Since modern computers are all discrete numerical machines, while physiological systems are fundamentally continuous, some approximations are required in order to use discrete modeling for continuoustime systems. The issue of discretization has been dealt with in some detail in Chap. 4, and a number of digital techniques for the analysis of signals and systems have been discussed in Chap. 5. In this chapter, we look at some geometric and animation techniques for representing physiological models. We also introduce haptics which can impart a tactile component to the models. These computational models with graphical display, audio, and haptics make possible virtual experiments for physiological exploration. 6.1 Numerical Methods for Solving Equations In the early days of computational models, differential equations were solved using analog computers. The analog computers were electronic circuits whose behavior mimicked that of the system being modeled. Modern computer models use digital computers to solve the system equations. Contemporary digital computers are