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Shift-Induced Dynamical Systems on Partitions and Compositions

Brian Hopkins, Michael A. Jones
2006 Electronic Journal of Combinatorics  
The rules of "Bulgarian solitaire" are considered as an operation on the set of partitions to induce a finite dynamical system.  ...  The same operation and questions can be put in the context of compositions (ordered partitions), where we give stronger results.  ...  Also, each author was on sabbatical from his respective institution while undertaking this research.  ... 
doi:10.37236/1106 fatcat:5i3hlhwvnve35ch7dxqlytcmlq

Vesicles and Phase Dynamics: Cross-Linking Effects

Michael S. Kessler, Susan Gillmor
2014 Biophysical Journal  
The 4and 5-phosphates of PI(4,5)P 2 were found to have a significant downfield shift in the presence of 40 mol% cholesterol.  ...  Multilamellar vesicles containing PC and PI(4,5)P 2 with varying amounts of cholesterol were also studied.  ...  of Lysolipids and Fatty Acids Induced by their Composition Radha Ranganathan, Jasmeet Singh.  ... 
doi:10.1016/j.bpj.2013.11.1684 fatcat:dgjyjqjjrvgifcxjbu2yrfuyuy

How Does Liquid-Liquid Phase Separation in Model Membranes Reflect Cell Membrane Heterogeneity?

Taras Sych, Cenk Onur Gurdap, Linda Wedemann, Erdinc Sezgin
2021 Membranes  
We also include a few humble suggestions on which phase-separated systems should be used for certain applications, and which interpretations should be avoided to prevent unreliable conclusions.  ...  In this review, we will discuss how phase-separated membrane systems can mimic cellular membranes and where they fail to reflect the native cell membrane heterogeneity.  ...  Acknowledgments: We thank Advanced Light Microscopy Facility at SciLifeLab for their support on microscopy imaging. Conflicts of Interest: No conflict of interest.  ... 
doi:10.3390/membranes11050323 pmid:33925240 fatcat:ieca6p4grbgfpe4uduy5lwjtra

A Comprehensive Study of Preferential Interaction of Cholesterol and its Fluorescent Analogs with Different Classes of Phospholipids

Shishir Jaikishan, Thomas K.M. Nyholm
2014 Biophysical Journal  
The 4and 5-phosphates of PI(4,5)P 2 were found to have a significant downfield shift in the presence of 40 mol% cholesterol.  ...  Multilamellar vesicles containing PC and PI(4,5)P 2 with varying amounts of cholesterol were also studied.  ...  of Lysolipids and Fatty Acids Induced by their Composition Radha Ranganathan, Jasmeet Singh.  ... 
doi:10.1016/j.bpj.2013.11.1683 fatcat:6rcp7ng2ing7jatxmlaezscy5m

Domain Size Distribution in Phase Separated Cholesterol/Phospholipid Langmuir Monolayers: Line Tension and Transition Kinetics

Emil Eldo, Andris Bibelnieks, Promise Okeke, Joan C. Kunz, Benjamin L. Stottrup
2014 Biophysical Journal  
The 4and 5-phosphates of PI(4,5)P 2 were found to have a significant downfield shift in the presence of 40 mol% cholesterol.  ...  Multilamellar vesicles containing PC and PI(4,5)P 2 with varying amounts of cholesterol were also studied.  ...  of Lysolipids and Fatty Acids Induced by their Composition Radha Ranganathan, Jasmeet Singh.  ... 
doi:10.1016/j.bpj.2013.11.1685 fatcat:y4wvy54v5re23mqswztffvdyxi

Lipids as Regulators of Effective Membrane Rigidity

Ksenia Chekashkina, Peter Kuzmin, Pavel Bashkirov, Vadim Frolov
2014 Biophysical Journal  
The 4and 5-phosphates of PI(4,5)P 2 were found to have a significant downfield shift in the presence of 40 mol% cholesterol.  ...  Multilamellar vesicles containing PC and PI(4,5)P 2 with varying amounts of cholesterol were also studied.  ...  of Lysolipids and Fatty Acids Induced by their Composition Radha Ranganathan, Jasmeet Singh.  ... 
doi:10.1016/j.bpj.2013.11.1681 fatcat:kiqx4r6kjbbsfo2ipnqshbtb5a

Page 366 of The Journal of Ecology Vol. 100, Issue 2 [page]

2012 The Journal of Ecology  
Additionally, we investigated, through a novel partitioning of neces (using partial principal component analyses), whether abiotic factors can explain iat occur over and above light-induced trait shifts  ...  Journal of Ecology 2012, 100, 366-380 doi: 10.1111/j.1365-2745.2011.01932.x Succession-induced trait shifts across a wide range of NW European ecosystems are driven by light and modulated by initial abiotic  ... 

Using density matrices in classical dynamical systems

Mark Fannes
1998 Banach Center Publications  
Although one may very well stay with classical statistical models, i.e. shifts on symbolic sequences, models in terms of non-commutative shifts may be quite efficient and tractable.  ...  A second reason to consider such models is to put classical dynamical systems and their statistical description in the wider non-commutative setting.  ...  This contribution is based on joint work with R. Alicki, University of Gdańsk, Poland and with J. Andries and P. Tuyls, K.U. Leuven, Belgium.  ... 
doi:10.4064/-43-1-175-182 fatcat:yo64ikwmgbfafmletir24fgp7q

Dynamic ecological system measures

Huseyin Coskun
2019 Results in Applied Mathematics  
Based on this methodology, multiple new dynamic ecological system measures and indices of matrix, vector, and scalar types are systematically introduced in the present paper.  ...  (diact) effect and utility of one compartment directly or indirectly on another, identify the system efficiency and stress, measure the compartmental exposure to system flows, determine the residence  ...  The author would like to thank Hasan Coskun for useful discussions and his helpful comments that improved the manuscript.  ... 
doi:10.1016/j.rinam.2019.100007 fatcat:4vdsyrl5szgz5k2h7u2l2ed7o4

Trellis group codes for the Gaussian channel

E.J. Rossin, N.T. Sindhushayana, C.D. Heegard
1995 IEEE Transactions on Information Theory  
New results presented here include a useful characterization of uniform partitions and a symbolic dynamic classification of trellis group codes.  ...  This duality of viewpoints leads one to consider two problems: the "synthesis problem," or how does one generate "good" group codes, and the "analysis problem," or, how does one decide if a given code  ...  The parallel transition shift P" induces a uniform partition [W; P(Q)] of the signal set, and the quotient shift may be thought of as acting on ~.  ... 
doi:10.1109/18.412672 fatcat:xxzthiy7gfamdcezoiy5ryc37a

Partition of Amphiphilic Molecules To Lipid Bilayers By ITC

Maria Joao Moreno, Margarida Bastos, Adrian Velazquez-Campoy
2010 Biophysical Journal  
The results discussed in this work should aid in understanding how cholesterol may induce a "nematic" aligning field on membrane proteins and thus shift their preferred conformational state.  ...  composition on its orientation, and to study the link between cholesterol tilt and overall phospholipid membrane organization.  ...  The results discussed in this work should aid in understanding how cholesterol may induce a ''nematic'' aligning field on membrane proteins and thus shift their preferred conformational state.  ... 
doi:10.1016/j.bpj.2009.12.451 fatcat:cz52np74ynbmzcqa27bqgi2vmq

Time-Symmetric Cellular Automata [article]

Andrés Moreira, Anahi Gajardo
2010 arXiv   pre-print
This notion, found in physical theories, has been neglected in the area of discrete dynamical systems.  ...  Here we formalize it in the context of cellular automata and establish some basic facts and relations. We also state some open problems that may encourage further research on the topic.  ...  Acknowledgment Andrés Moreira thanks Gaetan Richard for useful remarks on the characterization of time-symmetry, and Nicolas Ollinger and the Laboratoire d'Informatique Fondamentale de Marseille for the  ... 
arXiv:1012.1332v1 fatcat:muqreawda5chnp6w67iiakqfrm

A modular, dynamic, DNA-based platform for regulating cargo distribution and transport between lipid domains [article]

Roger Rubio-S&aacutenchez, Simone Eizagirre Barker, Michal Walczak, Pietro Cicuta, Lorenzo Di Michele
2021 biorxiv/medrxiv   pre-print
We demonstrate the functionality of our strategy with a bio-inspired DNA architecture, which dynamically undergoes ligand-induced reconfiguration to mediate cargo transport between domains via lateral  ...  Our findings pave the way to next-generation biomimetic platforms for sensing, transduction, and communication in synthetic cellular systems.  ...  Small, nonadditive effects contribute to a different extent depending on anchor combinations and lipid-membrane composition, hinting at (anti) co-operative effects dependent on system-specific chemistry  ... 
doi:10.1101/2021.03.02.433457 fatcat:ecf7cay32fbcpg437ik4fzyng4

Shifts of finite type as fundamental objects in the theory of shadowing

Chris Good, Jonathan Meddaugh
2019 Inventiones Mathematicae  
Acknowledgements The authors are grateful to the referee for the detailed and insightful comments on the previous version of this paper.  ...  as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.  ...  We wish to capture the dynamics of the map f on X via action of the shift map induced by f on the space of orbit or pseudo-orbit patterns for certain covers of X .  ... 
doi:10.1007/s00222-019-00936-8 fatcat:bsogxvu2wva6log524gjpeltpu

Cholesterol Orientation and Tilt Modulus in DMPC Bilayers

George Khelashvili, Georg Pabst, Harel Weinstein, Daniel Harries
2010 Biophysical Journal  
The results discussed in this work should aid in understanding how cholesterol may induce a "nematic" aligning field on membrane proteins and thus shift their preferred conformational state.  ...  composition on its orientation, and to study the link between cholesterol tilt and overall phospholipid membrane organization.  ...  The results discussed in this work should aid in understanding how cholesterol may induce a ''nematic'' aligning field on membrane proteins and thus shift their preferred conformational state.  ... 
doi:10.1016/j.bpj.2009.12.452 fatcat:znnfy4pc2za4hd3elyf7w4dity
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