Tao Cui, Yong Wang, and Daren Yu (2014). “Bistability and Hysteresis in a Nonlinear Dynamic Model of Shock Motion”. Journal of Aircraft51 (5): 1373-1379. doi:10.2514/1.C032175.
Ket Hing Chong; Sandhya Samarasinghe; Don Kulasiri; Jie Zheng (2015). “Computational techniques in mathematical modelling of biological switches”. MODSIM2015: 578–584. For detailed techniques of mathematical modelling of bistability, see the tutorial by Chong et al. (2015) http://www.mssanz.org.au/modsim2015/C2/chong.pdf The tutorial provides a simple example illustration of bistability using a synthetic toggle switch proposed in Collins, James J.; Gardner, Timothy S.; Cantor, Charles R. (2000). “Construction of a genetic toggle switch in Escherichia coli”. Nature403 (6767): 339–42. Bibcode: 2000Natur.403..339G. doi:10.1038/35002131. PMID10659857.. The tutorial also uses the dynamical system software XPPAUT http://www.math.pitt.edu/~bard/xpp/xpp.html to show practically how to see bistability captured by a saddle-node bifurcation diagram and the hysteresis behaviours when the bifurcation parameter is increased or decreased slowly over the tipping points and a protein gets turned 'On' or turned 'Off'.
Mathias L. Heltberg, Sandeep Krishna, and Mogens H. Jensen (2017). “Time Correlations in Mode Hopping of Coupled Oscillators”. Journal of Statistical Physics167: 792-805. doi:10.1007/s10955-017-1750-x.
Elf, J.; Ehrenberg, M. (2004). “Spontaneous separation of bi-stable biochemical systems into spatial domains of opposite phases”. Systems Biology1 (2): 230–236. doi:10.1049/sb:20045021. PMID17051695.
A.G. Dunning, N. Tolou, P.J. Pluimers, L.F. Kluit, and J.L. Herder (2012). “Bi-stable Compliant Mechanisms: Correction for Finite Element Modeling, Tuning the Stiffness and Preloading Incorporation”. Journal of Mechanical Design134 (8): 084502. doi:10.1115/1.4006961.
Ket Hing Chong; Sandhya Samarasinghe; Don Kulasiri; Jie Zheng (2015). “Computational techniques in mathematical modelling of biological switches”. MODSIM2015: 578–584. For detailed techniques of mathematical modelling of bistability, see the tutorial by Chong et al. (2015) http://www.mssanz.org.au/modsim2015/C2/chong.pdf The tutorial provides a simple example illustration of bistability using a synthetic toggle switch proposed in Collins, James J.; Gardner, Timothy S.; Cantor, Charles R. (2000). “Construction of a genetic toggle switch in Escherichia coli”. Nature403 (6767): 339–42. Bibcode: 2000Natur.403..339G. doi:10.1038/35002131. PMID10659857.. The tutorial also uses the dynamical system software XPPAUT http://www.math.pitt.edu/~bard/xpp/xpp.html to show practically how to see bistability captured by a saddle-node bifurcation diagram and the hysteresis behaviours when the bifurcation parameter is increased or decreased slowly over the tipping points and a protein gets turned 'On' or turned 'Off'.
Ket Hing Chong; Sandhya Samarasinghe; Don Kulasiri; Jie Zheng (2015). “Computational techniques in mathematical modelling of biological switches”. MODSIM2015: 578–584. For detailed techniques of mathematical modelling of bistability, see the tutorial by Chong et al. (2015) http://www.mssanz.org.au/modsim2015/C2/chong.pdf The tutorial provides a simple example illustration of bistability using a synthetic toggle switch proposed in Collins, James J.; Gardner, Timothy S.; Cantor, Charles R. (2000). “Construction of a genetic toggle switch in Escherichia coli”. Nature403 (6767): 339–42. Bibcode: 2000Natur.403..339G. doi:10.1038/35002131. PMID10659857.. The tutorial also uses the dynamical system software XPPAUT http://www.math.pitt.edu/~bard/xpp/xpp.html to show practically how to see bistability captured by a saddle-node bifurcation diagram and the hysteresis behaviours when the bifurcation parameter is increased or decreased slowly over the tipping points and a protein gets turned 'On' or turned 'Off'.
nih.gov
pubmed.ncbi.nlm.nih.gov
Ket Hing Chong; Sandhya Samarasinghe; Don Kulasiri; Jie Zheng (2015). “Computational techniques in mathematical modelling of biological switches”. MODSIM2015: 578–584. For detailed techniques of mathematical modelling of bistability, see the tutorial by Chong et al. (2015) http://www.mssanz.org.au/modsim2015/C2/chong.pdf The tutorial provides a simple example illustration of bistability using a synthetic toggle switch proposed in Collins, James J.; Gardner, Timothy S.; Cantor, Charles R. (2000). “Construction of a genetic toggle switch in Escherichia coli”. Nature403 (6767): 339–42. Bibcode: 2000Natur.403..339G. doi:10.1038/35002131. PMID10659857.. The tutorial also uses the dynamical system software XPPAUT http://www.math.pitt.edu/~bard/xpp/xpp.html to show practically how to see bistability captured by a saddle-node bifurcation diagram and the hysteresis behaviours when the bifurcation parameter is increased or decreased slowly over the tipping points and a protein gets turned 'On' or turned 'Off'.
Elf, J.; Ehrenberg, M. (2004). “Spontaneous separation of bi-stable biochemical systems into spatial domains of opposite phases”. Systems Biology1 (2): 230–236. doi:10.1049/sb:20045021. PMID17051695.
Ket Hing Chong; Sandhya Samarasinghe; Don Kulasiri; Jie Zheng (2015). “Computational techniques in mathematical modelling of biological switches”. MODSIM2015: 578–584. For detailed techniques of mathematical modelling of bistability, see the tutorial by Chong et al. (2015) http://www.mssanz.org.au/modsim2015/C2/chong.pdf The tutorial provides a simple example illustration of bistability using a synthetic toggle switch proposed in Collins, James J.; Gardner, Timothy S.; Cantor, Charles R. (2000). “Construction of a genetic toggle switch in Escherichia coli”. Nature403 (6767): 339–42. Bibcode: 2000Natur.403..339G. doi:10.1038/35002131. PMID10659857.. The tutorial also uses the dynamical system software XPPAUT http://www.math.pitt.edu/~bard/xpp/xpp.html to show practically how to see bistability captured by a saddle-node bifurcation diagram and the hysteresis behaviours when the bifurcation parameter is increased or decreased slowly over the tipping points and a protein gets turned 'On' or turned 'Off'.