Mathematical Models

Mathematical Models of Branching

Mathematical Models of Hysteresis

1.1 Hysteresis Operators 3 1.2 The Duhem Model 13 1.3 Rheological Models of Elasto-plasticity 17 1.4 Discontinuous Hysteresis 35 1.5 Micromagnetism 45 1.6 Models of Hysteresis with Internal Variables 56 1.7 Genesis of Hysteresis and Coupling with PDEs 62 1.8 A Transport Equation with Hysteresis 69 1.9 A Quasilinear Parabolic PDE with Hysteresis 78 1.10 A Quasilinear Hyperbolic PDE with Hysteres...

Mathematical Models of Chemotherapy

Suppose one injects a drug into an animal. What is the time course of the drug concentration in the blood and in the various organs of the body? Although preliminary attempts to set up mathematical models of this problem were made by Teorell [1], [2] and models of certain special cases have been considered by von Schrotter [3], Smith and Morales [4], and Morales and Smith [5], [6], it continues...

Mathematical models in physiology.

Computational modelling of biological processes and systems has witnessed a remarkable development in recent years. The search-term (modelling OR modeling) yields over 58000 entries in PubMed, with more than 34000 since the year 2000: thus, almost two-thirds of papers appeared in the last 5-6 years, compared to only about one-third in the preceding 5-6 decades. The development is fuelled both b...

Why Mathematical Models?

If you are a member of the set of people to whom this article is addressed, that is, if you are an undergraduate student in psychology, you certainly possess some or all of the following characteristics: (a) you are interested in understanding behavior; (b) you are concerned about a number of environmental, social, and political issues; (c) you find the topics on the "soft" side of psychology s...