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Properties of Isostables and Basins of Attraction of Monotone Systems [article]

Aivar Sootla, Alexandre Mauroy
<span title="2016-03-22">2016</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We discuss computational approaches to estimate isostables and basins of attraction and illustrate the results on two and four state monotone systems.  ...  In this paper, we investigate geometric properties of monotone systems by studying their isostables and basins of attraction.  ...  We show that the isostables and the boundary of basin of attraction of monotone systems share the same geometric properties.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1510.01153v2">arXiv:1510.01153v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/zd6nvcvuxrhnjiiaeerjlcuh6m">fatcat:zd6nvcvuxrhnjiiaeerjlcuh6m</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20191015231745/https://arxiv.org/pdf/1510.01153v2.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/b8/d3/b8d380b67e46bda47a79b3609aaa32daa59629cc.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1510.01153v2" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Geometric Properties of Isostables and Basins of Attraction of Monotone Systems [article]

Aivar Sootla, Alexandre Mauroy
<span title="2017-05-08">2017</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
In this paper, we study geometric properties of basins of attraction of monotone systems. Our results are based on a combination of monotone systems theory and spectral operator theory.  ...  We also show how variations in basins of attraction can be bounded under parametric uncertainty in the vector field of monotone systems.  ...  Geometric Properties of Isostables and Basins of Attraction of Monotone Systems Aivar Sootla and Alexandre Mauroy Abstract-In this paper, we study geometric properties of basins of attraction of monotone  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1705.02853v1">arXiv:1705.02853v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vfgxfalkcfcdrniv7oxpafuxay">fatcat:vfgxfalkcfcdrniv7oxpafuxay</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200907065657/https://arxiv.org/pdf/1705.02853v1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/96/5d/965dc81842033c36110bb65ee6a68c0f676e14cc.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1705.02853v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Pulse-Based Control Using Koopman Operator Under Parametric Uncertainty

Aivar Sootla, Damien Ernst
<span title="">2018</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/tiaci7xy45hczhz755zlpu5h7q" style="color: black;">IEEE Transactions on Automatic Control</a> </i> &nbsp;
Furthermore, we indicate how our tools can be used for a class of non-monotone systems, and more importantly how these tools can be extended to other control problems.  ...  In applications, such as biomedicine and systems/synthetic biology, technical limitations in actuation complicate implementation of time-varying control signals.  ...  Let the systemẋ = f (x, 0) have an exponentially stable equilibrium x • with a basin of attraction B(x • ) ⊆ D. A3. Let the system be monotone on D × U. A4.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tac.2017.2736941">doi:10.1109/tac.2017.2736941</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vmeamib4rnbo5ddgsj7ionn6v4">fatcat:vmeamib4rnbo5ddgsj7ionn6v4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180720094911/https://orbi.uliege.be/bitstream/2268/213386/1/1708.00232.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/8b/e0/8be0e1dfa9e224bbb994f496f82a1d7ad3bc85bf.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tac.2017.2736941"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Pulse-Based Control Using Koopman Operator Under Parametric Uncertainty [article]

Aivar Sootla, Damien Ernst
<span title="2017-08-01">2017</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Furthermore, we indicate how our tools can be used for a class of non-monotone systems, and more importantly how these tools can be extended to other control problems.  ...  In applications, such as biomedicine and systems/synthetic biology, technical limitations in actuation complicate implementation of time-varying control signals.  ...  Let the systemẋ = f (x, 0) have an exponentially stable equilibrium x • with a basin of attraction B(x • ) ⊆ D. A3. Let the system be monotone on D × U. A4.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1708.00232v1">arXiv:1708.00232v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rt4nxltibbdzjg4tudbbppdgim">fatcat:rt4nxltibbdzjg4tudbbppdgim</a> </span>
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Optimal control formulation of pulse-based control using Koopman operator

Aivar Sootla, Alexandre Mauroy, Damien Ernst
<span title="">2018</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/e5pgtxytlra45muqmfmoj6kvte" style="color: black;">Automatica</a> </i> &nbsp;
It was recently shown that, for monotone bistable systems, this problem admits easy-to-implement open-loop solutions in terms of temporal pulses (i.e., step functions of fixed length and fixed magnitude  ...  We show that this problem can be solved using a static optimization problem in the case of monotone systems.  ...  Assume now that the system is monotone with two exponentially stable equilibria x * and x • and basins of attraction B(x * ) and B(x • ), respectively.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.automatica.2018.01.036">doi:10.1016/j.automatica.2018.01.036</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/36avoe4ixfcyzlsrteypdcvmka">fatcat:36avoe4ixfcyzlsrteypdcvmka</a> </span>
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Shaping Pulses to Control Bistable Monotone Systems Using Koopman Operator

Aivar Sootla, Alexandre Mauroy, Jorge Goncalves
<span title="">2016</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/4oklsgzkjvbihhegxblzc6b7re" style="color: black;">IFAC-PapersOnLine</a> </i> &nbsp;
The original framework was derived for monotone systems and all the extensions relied on monotone systems theory.  ...  Using the level sets of the switching function we can (i) compute the set of all pulses that drive the system toward the steady state in a synchronous way and (ii) estimate the time needed by the flow  ...  Assumptions A1 and A2 guarantee the existence of eigenfunctions s * 1 (x) and s • 1 (x) that are continuously differentiable on each basin of attraction.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.ifacol.2016.10.247">doi:10.1016/j.ifacol.2016.10.247</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/6sfocc62v5ddfofpiwqnfbrxpa">fatcat:6sfocc62v5ddfofpiwqnfbrxpa</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170716020442/http://orbilu.uni.lu/bitstream/10993/28490/1/article_final.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/23/58/2358b74f9445394d2d4b458572547e80927877ac.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.ifacol.2016.10.247"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Shaping Pulses to Control Bistable Monotone Systems Using Koopman Operator [article]

Aivar Sootla, Alexandre Mauroy, Jorge Goncalves
<span title="2016-05-20">2016</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
The original framework was derived for monotone systems and all the extensions relied on monotone systems theory.  ...  Using the level sets of the switching function we can (i) compute the set of all pulses that drive the system toward the steady state in a synchronous way and (ii) estimate the time needed by the flow  ...  Assumptions A1 and A2 guarantee the existence of eigenfunctions s * 1 (x) and s • 1 (x) that are continuously differentiable on each basin of attraction.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1605.06252v1">arXiv:1605.06252v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/inhipqirfrgz3fj7kuaoyjmbqq">fatcat:inhipqirfrgz3fj7kuaoyjmbqq</a> </span>
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Global computation of phase-amplitude reduction for limit-cycle dynamics

A. Mauroy, I. Mezić
<span title="">2018</span> <i title="AIP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/jh7idzebgzcuffjreetqux4374" style="color: black;">Chaos</a> </i> &nbsp;
basin of attraction of the limit cycle.  ...  We illustrate the method by computing the so-called isostables of limit cycles in two, three, and four-dimensional state spaces, as well as their responses to strong external inputs.  ...  We note that, in the case of planar systems, this is an exact (non-reduced) representation of the system in the basin of attraction of the limit cycle. C.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.5030175">doi:10.1063/1.5030175</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/30070491">pmid:30070491</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/mqfchfnoibfgxnrizvppqodody">fatcat:mqfchfnoibfgxnrizvppqodody</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190222173944/http://pdfs.semanticscholar.org/3867/ca8ade832e8956453949d507c37b5d09b359.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/38/67/3867ca8ade832e8956453949d507c37b5d09b359.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.5030175"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Operator-Theoretic Characterization of Eventually Monotone Systems [article]

Aivar Sootla, Alexandre Mauroy
<span title="2017-07-26">2017</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
While monotone systems have a characterization in terms of their vector fields (i.e. Kamke-Muller condition), eventually monotone systems have not been characterized in such an explicit manner.  ...  In the case of nonlinear systems, this spectral characterization is not straightforward, a fact that explains why the class of eventually monotone systems has received little attention to date.  ...  We consider the basin of attraction of the equilibrium x * and compute the level sets of s 1 (x).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1510.01149v3">arXiv:1510.01149v3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/jr6wriw7sbftliffy24m7f2xrm">fatcat:jr6wriw7sbftliffy24m7f2xrm</a> </span>
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Effects of pH on Proteins: Predictions for Ensemble and Single-Molecule Pulling Experiments

Edward P. O'Brien, Bernard R. Brooks, D. Thirumalai
<span title="2011-12-27">2011</span> <i title="American Chemical Society (ACS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/czzozsmlgreapacsfn45462e54" style="color: black;">Journal of the American Chemical Society</a> </i> &nbsp;
The phase diagrams of CI2 and protein G as a function of f and pH are dramatically different and reflect the underlying pH-dependent stability changes in the absence of force.  ...  We use the MTM to predict the response of CI2 and protein G subjected to a constant force (f) and varying pH.  ...  Wayne Bolen for suggesting the use of the Henderson−Hasselbach equation to estimate group transfer free energies upon a change in pH.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1021/ja206557y">doi:10.1021/ja206557y</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/22148729">pmid:22148729</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC3262061/">pmcid:PMC3262061</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xno5r56wqvcnde7bundzwv7v2y">fatcat:xno5r56wqvcnde7bundzwv7v2y</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20120623021308/http://biotheory.umd.edu/PDF/Obrien_JACS_2012.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/d0/d9/d0d9c50a45eb9c909e4e7dda94c6c8ff64125491.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1021/ja206557y"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> acs.org </button> </a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3262061" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>

Sequencing of folding events in Go-type proteins

Trinh Xuan Hoang, Marek Cieplak
<span title="2000-11-08">2000</span> <i title="AIP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hnc5ddfunnd3taca63uf5ggldm" style="color: black;">Journal of Chemical Physics</a> </i> &nbsp;
The folding scenarios for CI2 and SH3 are consistent with experimental studies of their transition states.  ...  The order of events depends primarily on the geometry of the native state. Variations in temperature, coupling strengths and viscosity affect the sequencing scenarios to a rather small extent.  ...  Such a large value of δ c does not seem to be a realistic estimate of the basin size since it may correspond to not all native contacts being established.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.1314868">doi:10.1063/1.1314868</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/e334k6vpovgq7phb3gi2ae4i3u">fatcat:e334k6vpovgq7phb3gi2ae4i3u</a> </span>
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Sensitivity analysis of oscillator models in the space of phase-response curves: Oscillators as open systems [article]

Pierre Sacré, Rodolphe Sepulchre
<span title="2014-01-27">2014</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
The proposed theoretical and numerical analysis tools are illustrated on several system-theoretic questions and models arising in the biology of cellular rhythms.  ...  Oscillator models are central to the study of system properties such as entrainment or synchronization. Due to their nonlinear nature, few system-theoretic tools exist to analyze those models.  ...  The notion of the asymptotic phase variable can be extended to any nonzero-input trajectory φ(·, x0 , u(·)) in the basin of attraction of γ.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1206.4144v3">arXiv:1206.4144v3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/54pqyy7m5fdavlrbe7kgcqa7zi">fatcat:54pqyy7m5fdavlrbe7kgcqa7zi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200902060029/https://arxiv.org/pdf/1206.4144v3.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/3e/8a/3e8a7786b6a02d3d81ce66fc54d9446a92c2c09d.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1206.4144v3" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Koopman Operator Spectrum for Random Dynamical Systems [article]

Nelida Črnjarić-Žic, Senka Maćešić, Igor Mezić
<span title="2019-01-16">2019</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
In this paper we consider the Koopman operator associated with the discrete and the continuous time random dynamical system (RDS).  ...  We provide results that characterize the spectrum and the eigenfunctions of the stochastic Koopman operator associated with different types of linear RDS.  ...  Acknowledgment This research has been supported by the DARPA Contract HR0011-16-C-0116 "On A Data-Driven, Operator-Theoretic Framework for Space-Time Analysis of Process Dynamics" and AFOSR grants FA9550  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1711.03146v2">arXiv:1711.03146v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/2yoj2kuw7jh6zne7gr33u4tsdm">fatcat:2yoj2kuw7jh6zne7gr33u4tsdm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20191020002014/https://arxiv.org/pdf/1711.03146v2.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/0f/36/0f36385822e670173f9c990cfbe66abd90f9bc7b.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1711.03146v2" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

27th Annual Computational Neuroscience Meeting (CNS*2018): Part One

<span title="2018-10-29">2018</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hus553nnwfhsbi2wiivfjdwxru" style="color: black;">BMC Neuroscience</a> </i> &nbsp;
Acknowledgement Neural Engineering System Design (NESD) program from the Defense Advanced Research Projects Agency (DARPA).  ...  Acknowledgement Central fund of Finnish Cultural Foundation and Finnish Brain Foundation sr. Acknowledgement German Ministry of Research and Education Grant 01GQ1508.  ...  We show that this phenomenon always occurs when the initial conditions lie in the basin of attraction of the stable limit cycle.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1186/s12868-018-0452-x">doi:10.1186/s12868-018-0452-x</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/30373544">pmid:30373544</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC6205781/">pmcid:PMC6205781</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xv7pgbp76zbdfksl545xof2vzy">fatcat:xv7pgbp76zbdfksl545xof2vzy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190427232210/https://bmcneurosci.biomedcentral.com/track/pdf/10.1186/s12868-018-0452-x" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/68/f7/68f758ef278927c2da3b163551c098e82654997e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1186/s12868-018-0452-x"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> springer.com </button> </a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6205781" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>

Frustration in biomolecules

Diego U. Ferreiro, Elizabeth A. Komives, Peter G. Wolynes
<span title="2014-09-16">2014</span> <i title="Cambridge University Press (CUP)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/jns6cvwyffcm3ojmxntl7de3mu" style="color: black;">Quarterly Reviews of Biophysics (print)</a> </i> &nbsp;
We first review the notion of frustration from the areas of abstract logic and its uses in simple condensed matter systems.  ...  Most of these inanimate systems are polymers that compute their own structures and dynamics using as input seemingly random character strings of their sequence, following which they coalesce and perform  ...  The correlations between energy levels predicted by the polymer theory certainly exist as they allow states to be grouped together into basins of attraction which can interconvert without significant barriers  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1017/s0033583514000092">doi:10.1017/s0033583514000092</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/25225856">pmid:25225856</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC4256721/">pmcid:PMC4256721</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xgc25cb5abfitf3k67mwzspxnq">fatcat:xgc25cb5abfitf3k67mwzspxnq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190430160425/https://www.cambridge.org/core/services/aop-cambridge-core/content/view/DECEA176849986FC11DB079C1EB4B24A/S0033583514000092a.pdf/div-class-title-frustration-in-biomolecules-div.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/48/f1/48f1bc6e94436ca1f2ffa08312d5dca23b715b3d.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1017/s0033583514000092"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> cambridge.org </button> </a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4256721" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>