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This chapter provides a brief introduction to hysteresis phenomena in biology and reveals the main intention of this book to provide the basics of Preisach models of hysteresis for interdisciplinary researchers and students. From switches in protein-DNA interactions (Chatterjee et al. 2008), microscopic cellular signaling pathways with bistable molecular cascades (Angeli et al. 2004; Qiao et al. 2007), cell division, differentiation, cancer onset and apoptosis (Eissing et al. 2004; Kim et al. 2007; Wilhelm 2009), protein folding (Andrews et al. 2013) and purinergic neuron-astrocyte interactions in the brain (Noori 2011) up to macroscopic biomechanics of cornea (Congdon et al. 2006) and lung deformations (Escolar and Escolar 2004), hysteresis phenomena are ubiquitous in biology. Since the focus of attention towards hysteresis has mostly been the physical phenomena, most textbooks dealing with this concept have adapted the terminology and ideas of related fields of research such as control theory and magnetism, which often exacerbate the access to this theory for computational biologists and other researchers that are not familiar with the utilized terms. Following Krasnosel’skii and Pokrovskii (1989), this monograph is intended to provide an introductionary material purely expressed in mathematical terminology.
KeywordsPreisach Model Hysteresis Phenomena Krasnosel Pokrovskii Cancer Onset
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