Criticality in Cell Adhesion

Blom, Kristian; Godec, Aljaž

doi:10.1103/physrevx.11.031067

Cited by 20 publications

(26 citation statements)

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“…Notably, the bulk correlation length ξ ≡ [κ x (ϕ ± min )/ f (ϕ ± min )] 1/2 [41] displays qualitatively the same behavior in both theories (see inset in Fig. 2d), since the MF free energy density is relatively accurate near local minima ϕ ± min but inaccurate near the barrier at ϕ = 1/2 (see [68] and [70]).…”

mentioning

confidence: 94%

“…Explicit results for ϕ − min and profiles in finite systems are given in [68]. Only above the critical coupling J > Jcrit , where JBG,crit ≡ ln (z/(z − 2))/2 and JMF,crit ≡ 1/z [70], f(ϕ) has two local minima resulting in a nonuniform ϕ(x) (i.e. ϕ − min < 1/2, ∀ J > Jcrit ; see Fig.…”

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confidence: 99%

“…In stark contrast to MF theory predicting a steepening interface, the BG profile ϕ (0) is non-monotonic in J, which can be understood as follows. Whereas the free energy barrier between the de-mixed states converges to a finite value, lim J→∞ ∆ fBG (ϕ ± min ) = (z − 2) ln (2)/2 [70], the free energy penalty of an inhomogeneity is exponentially increasing, i.e. lim J→∞ κ x,BG (1/2) zx e 2 J , thus giving rise to a "flattening" of the interface.…”

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confidence: 99%

“…lim J→∞ κ x,BG (1/2) zx e 2 J , thus giving rise to a "flattening" of the interface. Conversely, MF theory overestimates the free energy barrier [70] and concurrently underestimates the free energy penalty of an inhomogeneity (see [68] for details), in turn leading to a sharpening of the interface in the large J limit. The interfacial "flattening" is mirrored also in Fig.…”

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confidence: 99%

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Thermodynamically Consistent Phase-Field Theory Including Nearest-Neighbor Pair Correlations Explains Failure of Mean-Field Reasoning

Blom¹,

Ziethen²,

Zwicker³

et al. 2022

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confidence: 94%

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confidence: 99%

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confidence: 99%

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confidence: 99%

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Thermodynamically Consistent Phase-Field Theory Including Nearest-Neighbor Pair Correlations Explains Failure of Mean-Field Reasoning

Blom¹,

Ziethen²,

Zwicker³

et al. 2022

Preprint

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“…In the particular case of continuoustime Markov-jump processes the local detailed balance paradigm emerged, relating the kinetics to thermodynamic forces that drive a system out of equilibrium [2][3][4][5]. One inherent assumption of this paradigm is a separation of timescales [5]: the observed degrees of freedom are slow ensuring that all unobserved/hidden fast degrees of freedom equilibrate with instantaneously connected (heat or particle) reservoirs [3,6,7]. Accordingly, the forward and corresponding backward transition rates between a pair of meso-states A and B, w A→B and w B→A , respectively, are related to the entropy production via [8]…”

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Violation of Local Detailed Balance Despite a Clear Time-Scale Separation

Hartich¹,

Godec²

2021

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Integrating out fast degrees of freedom is known to yield, to a good approximation, memory-less, i.e. Markovian, dynamics. In the presence of such a time-scale separation local detailed balance is believed to emerge and to guarantee thermodynamic consistency arbitrarily far from equilibrium.Here we present a transparent example of a Markov model of a molecular motor where local detailed balance can be violated despite a clear time-scale separation and hence Markovian dynamics. Driving the system far from equilibrium can lead to a violation of local detailed balance against the driving force. We further show that local detailed balance can be restored, even in the presence of memory, if the coarse-graining is carried out as Milestoning. Our work establishes Milestoning not only as a kinetically but for the first time also as a thermodynamically consistent coarse-graining method. Our results are relevant as soon as individual transition paths are appreciable or can be resolved.

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Pair-Correlation Effects in Many-Body Systems

Blom

2023

Springer Theses

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While pursuing a Ph.D. in the Mathematical bioPhysics Group in Göttingen I got acquainted with many great people, who have contributed in their own way to this work, and to the person I have become. It remains a difficult task to acknowledge all of these people with concise wording, and therefore I consider my attempt below also far from complete.First and foremost I thank my supervisor Aljaž Godec. I can say with great confidence that I could not have gotten a better supervisor. His office door has always been open for a discussion, a coffee, or a good Chuck Norris fact. Without his guidance, and constant desire for a deeper understanding, I would not have been able to produce the work presented in this thesis. The way Aljaž thinks in terms of inequalities and counterexamples has been of great influence on my way of thinking. I also thank Aljaž's family who has shown great hospitality to me.Secondly, I would like to thank my colleagues -those in the past and present -in the Mathematical bioPhysics Group. Alessio Lapolla and David Hartich were the first two colleagues I met, and I thank you both for your kindness and inspiring work attitude. Alessio convinced me to join his sports wrestling courses, which were a lot of fun, despite his superior strength. With David and his family I share many warm memories, and the visit to Esslingen was a highlight that hopefully will soon take place again. Together with Maximilian Vossel I started my doctorate. Being the barista in our group, he has made many delicious espressos, and I thank you for your thoughtfulness and for the great moments we share. I thank Cai Dieball for his sharp questions, fruitful discussions, dry humor, and the rounds of tennis we played during the summer. With Janik Schüttler I had many enjoyable moments on the running track, where he often pushed me to do an extra round. I thank you for your friendliness and positive spirit, hopefully we can once meet again in Cambridge. Finally, I thank Rick Bebon and Gerrit Wellecke for being such pleasant colleagues, who are always open to a discussion. Rick has extensively read every chapter of my thesis, and provided me with great feedback. All in all, I am thankful for my colleagues who made/make the Mathematical bioPhysics Group a great place to work. V Within the Theoretical and Computational Biophysics department there were/are also many colleagues to thank. Special thanks go to Lars Bock, Sara Gabrielli, Gabor Nagy, Florian Leidner, Wojciech Kopec, and Peleg Sapir who have been thoughtful, friendly, and open to me. It was a pleasure to have lunch with you, meet for leisure time, or to have a little chat in the office. I thank Ansgar Esztermann and Martin Fechner for teaching me the ins and outs of computer cluster usage, which I initially did not use correctly. Furthermore, I thank Eveline Heinemann, Stefanie Teichmann, and Petra Kellers for the administrative assistance and their fast support during times I was rather late with my conference applications. Finally, I would like to thank Helmut Grubmüller ...

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Criticality in Cell Adhesion

Cited by 20 publications

References 139 publications

Thermodynamically Consistent Phase-Field Theory Including Nearest-Neighbor Pair Correlations Explains Failure of Mean-Field Reasoning

Thermodynamically Consistent Phase-Field Theory Including Nearest-Neighbor Pair Correlations Explains Failure of Mean-Field Reasoning

Violation of Local Detailed Balance Despite a Clear Time-Scale Separation

Pair-Correlation Effects in Many-Body Systems

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