Page 14 - Control Theory in Biomedical Engineering

CHAPTER 1

Modeling and control in

physiology

Abir Lassoued, Olfa Boubaker
University of Carthage, National Institute of Applied Sciences and Technology, Tunis, Tunisia

1 Introduction

According to World Health Organization (WHO) statistics for 2019, the
major causes of death in the world are cardiovascular diseases, cancer and
infectious diseases (World Health Organization, 2019). To have a better
understanding of these physiological processes, it is imperative to describe
these complex systems by mathematical models. Indeed, many challenging
problems are still pending for which these models can be exploited in several
contexts, namely to help doctors to establish a diagnosis, to understand the
interrelationship among physiological variables and to predict the dynamic
behavior of some diseases.
Modeling physiological systems has a long history interconnected with
the history of medicine. In this field, the research work of Denis Noble in
1960 on cardiac cell mode (Noble, 1960) can be considered as the corner-
stone for the development of the current research works related to model-
ing in biomedical engineering. Various research works related to
mathematical modeling in physiology have been proposed since then,
leading to an extensive bibliography revealing the prosperity of this field.
These include a handbook (Bronzino, 1999), several valuable books
(Ottesen and Danielsen, 2000; Beuter et al., 2003; Ottesen et al., 2004;
Takeuchi et al., 2007; Cherruault, 2012; Banks, 2013; Hacısalihzade,
2013; Carson and Cobelli, 2014; Reisman et al., 2018; Cobelli and Carson,
2008; Devasahayam, 2012; Sanft and Walter, 2020), anumberofsurvey
papers (Brown, 1980; Bekey and Beneken, 1978; Perelson, 2002; Makro-
glou et al., 2006; Boutayeb and Chetouani, 2006; Anderson and Quaranta,
2008; Leng and MacGregor, 2008; Bertram, 2011; Glynn et al., 2014;
Chowelletal.,2016; Zavala et al., 2019), and software tools (Hester
et al., 2011). Mathematical models in biology (Roberts, 1976; Brown
and Rothery, 1993; Allman and Rhodes, 2004; Edelstein-Keshet, 2005)

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