1 - 7 of 7 Chapters
[This book aims at understanding the complex interplay between mathematical sciences and the dynamics of living systems focusing on the development of mathematical tools suitable to study the dynamics in time and space of the latter.]
[The contents of this chapter are motivated by the second key question posed in Section 1.3, namely by the search of mathematical tools suitable to model living systems (specifically, we deal with systems composed of many interacting entities).]
[The contents of this chapter are motivated by the second key question posed in Section 1.3.]
[This chapter proposes a bridge to link the theoretical tools proposed in Chapter 3 to the various applications presented in the next chapters. In addition, some reasonings on the reply to the third and fourth key questions are brought to the attention of the reader. These can be viewed as a...
[This chapter shows how the mathematical tools presented in Chapter 3 can be developed to derive mathematical models in social sciences and to understand how interactions at the microscopic scale can lead to the collective social behaviors.]
[This chapter is devoted to the derivation of mathematical models of large systems of active particles which move and interact in space. The content focuses mainly on crowd dynamics; however, the dynamics of multicellular systems are also treated and some perspective ideas are given on vehicular...
[This chapter proposes some speculations which are freely developed by taking advantage also of an overview and critical analysis of the contents of the preceding chapters. These speculations focus on the fifth key question stated in Chapter 1.]
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