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Applications to Biology and Medicine

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Book cover An Introduction to Continuous-Time Stochastic Processes

Abstract

This chapter is devoted to an analysis of fundamental results related to topics that have attracted the attention of a large number of scientists from many disciplines. The key issue is individual-based models and their approximation, leading to the so-called mean field models and to nonlinear PDEs. This category includes ant colonies, herd behavior, and swarm intelligence, all of which have generated a large and current body of research in biology, physics, operations research, economics, and related fields. An additional result refers to an important application of Itô-Lévy calculus to stochastic models in neurosciences.

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Authors and Affiliations

  1. ADAMSS (Interdisciplinary Centre for Advanced Applied Mathematical and Statistical Sciences), Università degli Studi di Milano, Milan, Italy

    Vincenzo Capasso & David Bakstein

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  1. Vincenzo Capasso
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  2. David Bakstein
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Capasso, V., Bakstein, D. (2015). Applications to Biology and Medicine. In: An Introduction to Continuous-Time Stochastic Processes. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4939-2757-9_7

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