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Introduction

  • Hamid Reza NooriEmail author
Chapter
Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)

Abstract

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.

Keywords

Preisach Model Hysteresis Phenomena Krasnosel Pokrovskii Cancer Onset 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Andrews BT, Capraro DT, Sulkowska JI, Onuchic JN, Jennings PA (2013) Hysteresis as a marker for complex, overlapping landscapes in proteins. J Phys Chem Lett 4:180–188CrossRefGoogle Scholar
  2. Angeli D, Ferrell JE Jr, Sontag ED (2004) Detection of multistability, bifurcations, and hysteresis in a large class of biological positive-feedback systems. Proc Natl Acad Sci USA 101:1822–1827Google Scholar
  3. Brokate M, Sprekels J (1996) Hysteresis and phase transitions. Springer, New YorkCrossRefzbMATHGoogle Scholar
  4. Chatterjee A, Kaznessis YN, Hu WS (2008) Tweaking biological switches through a better understanding of bistability behavior. Curr Opin Biotechnol 19:475–481CrossRefGoogle Scholar
  5. Congdon NG, Broman AT, Bandeen-Roche K, Grover D, Quigley HA (2006) Central corneal thickness and corneal hysteresis associated with glaucoma damage. Am J Ophthalmol 141:868–875CrossRefGoogle Scholar
  6. Eissing T, Conzelmann H, Gilles ED, Allgoewer F, Bullinger E, Scheurich P (2004) Bistability analyses of a caspase activation model for receptor-induced apoptosis. J Biol Chem 279:36892–36897CrossRefGoogle Scholar
  7. Escolar JD, Escolar A (2004) Lung hysteresis: a morphological view. Histol Histopathol 19:159–166Google Scholar
  8. Kim D, Rath O, Kolch W, Cho K-H (2007) A hidden oncogenic positive feedback loop caused by crosstalk between Wnt and ERK pathways. Oncogene 26:4571–4579CrossRefGoogle Scholar
  9. Krasnosel’skii MA, Pokrovskii AV (1989) Systems with hysteresis. Springer, HeidelbergCrossRefzbMATHGoogle Scholar
  10. Mayergoyz ID (2003) Mathematical models of hysteresis and their applications. Elsevier, New YorkGoogle Scholar
  11. Noori HR (2011) Substantial changes in synaptic firing frequencies induced by glial ATP hysteresis. Biosystems 105(3):238–242Google Scholar
  12. Qiao L, Nachbar RB, Kevrekidis IG, Shvartsman SY (2007) Bistability and oscillations in the Huang-Ferrell model of MAPK signaling. PLoS Comput Biol 3:1819–1826MathSciNetCrossRefGoogle Scholar
  13. Visintin A (1994) Differential models of hysteresis. Springer, BerlinCrossRefzbMATHGoogle Scholar
  14. Wilhelm T (2009) The smallest chemical reaction system with bistability. BMC Syst Biol 3:90CrossRefGoogle Scholar

Copyright information

© The Author(s) 2014

Authors and Affiliations

  1. 1.Central Institute for Mental HealthInstitute for PsychopharmacologyMannheimGermany

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