Date of download: 10/18/2017 Copyright © ASME. All rights reserved. From: Modeling the Abrupt Buckling Transition in dsDNA During Supercoiling J. Comput. Nonlinear Dynam. 2016;11(6):061003-061003-7. doi:10.1115/1.4033308 Figure Legend: A representation of the dWLC model

Date of download: 10/18/2017 Copyright © ASME. All rights reserved. From: Modeling the Abrupt Buckling Transition in dsDNA During Supercoiling J. Comput. Nonlinear Dynam. 2016;11(6):061003-061003-7. doi:10.1115/1.4033308 Figure Legend: The evaluation of αi and γi, the two components of the bend angle τi (see text)

Date of download: 10/18/2017 Copyright © ASME. All rights reserved. From: Modeling the Abrupt Buckling Transition in dsDNA During Supercoiling J. Comput. Nonlinear Dynam. 2016;11(6):061003-061003-7. doi:10.1115/1.4033308 Figure Legend: Cartoon illustrating the formation of plectonemic supercoils in DNA by means of the magnetic tweezer apparatus

Date of download: 10/18/2017 Copyright © ASME. All rights reserved. From: Modeling the Abrupt Buckling Transition in dsDNA During Supercoiling J. Comput. Nonlinear Dynam. 2016;11(6):061003-061003-7. doi:10.1115/1.4033308 Figure Legend: The three regimes that occur during plectonemic supercoiling of DNA. The regimes are demarcated by the black vertical broken lines with the prebuckling regime on the left, the buckling transition regime in the middle, and the post-buckling regime on the right.

Date of download: 10/18/2017 Copyright © ASME. All rights reserved. From: Modeling the Abrupt Buckling Transition in dsDNA During Supercoiling J. Comput. Nonlinear Dynam. 2016;11(6):061003-061003-7. doi:10.1115/1.4033308 Figure Legend: Two metastable states exist within the buckling transition regime. The data in this plot were obtained for a linking number at which both states have equal probabilities. (Top) Rapid “hopping” between the two equilibrium states and the fluctuation about the mean value of each state. (Bottom) Histogram of end-to-end extensions within the buckling transition.

Date of download: 10/18/2017 Copyright © ASME. All rights reserved. From: Modeling the Abrupt Buckling Transition in dsDNA During Supercoiling J. Comput. Nonlinear Dynam. 2016;11(6):061003-061003-7. doi:10.1115/1.4033308 Figure Legend: The probability of finding DNA in one of the looped (circles) or extended (inverted triangles) states, within the buckling transition regime, depends on the number of turns at which it is held. An equilibrium point at which both states are equally probable can be estimated by the point of intersection of linear fits to the probability data.

Date of download: 10/18/2017 Copyright © ASME. All rights reserved. From: Modeling the Abrupt Buckling Transition in dsDNA During Supercoiling J. Comput. Nonlinear Dynam. 2016;11(6):061003-061003-7. doi:10.1115/1.4033308 Figure Legend: Within the buckling transition regime, increasing number of turns not only increases the probability of finding the DNA in the looped state but also increases the size of the extension jump between both states. With increasing number of turns, while the change in the equilibrium position of the extended state remains virtually unchanged, a shift is noticed in the equilibrium position of the looped state to the left.

Date of download: 10/18/2017 Copyright © ASME. All rights reserved. From: Modeling the Abrupt Buckling Transition in dsDNA During Supercoiling J. Comput. Nonlinear Dynam. 2016;11(6):061003-061003-7. doi:10.1115/1.4033308 Figure Legend: A strong correlation exists between the elastic energy (top) of DNA and its end-to-end extension (bottom) as it hops between the looped and extended states within the buckling transition regime