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Harmonic analysis of Boolean networks: determinative power and perturbations

Reinhard Heckel, Steffen Schober, Martin Bossert
<span title="2013-05-04">2013</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/gm2h5mhstjf3tmwayeiyvkxxve" style="color: black;">EURASIP Journal on Bioinformatics and Systems Biology</a> </i> &nbsp;
We compare the determinative power of a set of inputs to the sensitivity to perturbations to these inputs, and find that, maybe surprisingly, an input that has large sensitivity to perturbations does not  ...  Consider a large Boolean network with a feed forward structure.  ...  Acknowledgements We would like to thank Sara Al-Sayed and Dejan Lazich for their helpful discussions and careful reading of the manuscript.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1186/1687-4153-2013-6">doi:10.1186/1687-4153-2013-6</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/23642003">pmid:23642003</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC3748841/">pmcid:PMC3748841</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/p6emh3r4l5e4hbqf6lm2q26h7i">fatcat:p6emh3r4l5e4hbqf6lm2q26h7i</a> </span>
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Characterizing short-term stability for Boolean networks over any distribution of transfer functions

C. Seshadhri, Andrew M. Smith, Yevgeniy Vorobeychik, Jackson R. Mayo, Robert C. Armstrong
<span title="2016-07-05">2016</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/5pgnwkvlevhybgsbuc3q7fchx4" style="color: black;">Physical review. E</a> </i> &nbsp;
We present a characterization of short-term stability of random Boolean networks under arbitrary distributions of transfer functions.  ...  Given any distribution of transfer functions for a random Boolean network, we present a formula that decides whether short-term chaos (damage spreading) will happen.  ...  Department of Energy under contract DE-AC04-94AL85000.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreve.94.012301">doi:10.1103/physreve.94.012301</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/27575142">pmid:27575142</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/c5sdnhzderf3flcsw32dpjlewe">fatcat:c5sdnhzderf3flcsw32dpjlewe</a> </span>
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Logical Reduction of Biological Networks to Their Most Determinative Components

Mihaela T. Matache, Valentin Matache
<span title="">2016</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/zasl75vjunffjdn7osabykmsua" style="color: black;">Bulletin of Mathematical Biology</a> </i> &nbsp;
We use techniques of Hilbert space operators and harmonic analysis to generate formulas for the sensitivity to perturbations of nodes, quantified by the notions of influence, average sensitivity, and strength  ...  We analyze the determinative power of nodes for a Boolean model of a Electronic supplementary material The online version of this article (signal transduction network of a generic fibroblast cell.  ...  , and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s11538-016-0193-x">doi:10.1007/s11538-016-0193-x</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/27417985">pmid:27417985</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC4993808/">pmcid:PMC4993808</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/bqjjg5shlvclvjutqptngpihbu">fatcat:bqjjg5shlvclvjutqptngpihbu</a> </span>
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Template-based intervention in Boolean network models of biological systems

Michael P Verdicchio, Seungchan Kim
<span title="2014-07-19">2014</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/gm2h5mhstjf3tmwayeiyvkxxve" style="color: black;">EURASIP Journal on Bioinformatics and Systems Biology</a> </i> &nbsp;
Boolean networks are among the simplest of models, yet they have been shown to adequately model many of the complex dynamics of biological systems.  ...  in increasingly large Boolean networks.  ...  Andy Wuensche and Dr. Dan Bryce for helpful discussions. MV was partially supported by a grant from The Citadel Foundation.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1186/s13637-014-0011-4">doi:10.1186/s13637-014-0011-4</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/28194161">pmid:28194161</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC5270454/">pmcid:PMC5270454</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/yabftdbp2bcsrcqcrinwodvs2u">fatcat:yabftdbp2bcsrcqcrinwodvs2u</a> </span>
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Assembling Disease Networks From Causal Interaction Resources

Gianni Cesareni, Francesca Sacco, Livia Perfetto
<span title="2021-06-11">2021</span> <i title="Frontiers Media SA"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/r7trx2kj6je5jhtaoy3rztibgy" style="color: black;">Frontiers in Genetics</a> </i> &nbsp;
data content and proteome coverage (iii) review how causal-graphs can be used to extract disease-specific Boolean networks.  ...  Network approaches are playing an increasing role in the organization and interpretation of patients' data.  ...  This research was funded by the Italian association for cancer research (AIRC) with a grant to GC (IG 2017 n. 20322) and by the Italian association for cancer research (AIRC) with a grant to FS (Start-Up  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3389/fgene.2021.694468">doi:10.3389/fgene.2021.694468</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/34178043">pmid:34178043</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC8226215/">pmcid:PMC8226215</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/d26ewljsz5f5hn23bp4megobvu">fatcat:d26ewljsz5f5hn23bp4megobvu</a> </span>
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A Fine-Grained Spectral Perspective on Neural Networks [article]

Greg Yang, Hadi Salman
<span title="2020-04-09">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We derive fast algorithms for computing the spectra of CK and NTK when the data is uniformly distributed over the boolean cube, and show this spectra is the same in high dimensions when data is drawn from  ...  Their spectra then encode valuable information about the initial distribution and the training and generalization properties of neural networks.  ...  Harmonic Analysis of Neural Net- works. Applied and Computational Harmonic Analy- sis, 6(2):197-218, March 1999. ISSN 1063-5203. doi: 10.1006/acha.1998.0248.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1907.10599v4">arXiv:1907.10599v4</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/chd252ng6bhqrcfwpeqapb47wu">fatcat:chd252ng6bhqrcfwpeqapb47wu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200411003116/https://arxiv.org/pdf/1907.10599v4.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/a3/6f/a36f44e98b9289147fb8a96b3fba6eb27e2340e9.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1907.10599v4" 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>

Avalanches and edge-of-chaos learning in neuromorphic nanowire networks

Joel Hochstetter, Ruomin Zhu, Alon Loeffler, Adrian Diaz-Alvarez, Tomonobu Nakayama, Zdenka Kuncic
<span title="2021-06-29">2021</span> <i title="Springer Science and Business Media LLC"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/a4wan6l5o5dfzn767kyz7jqevi" style="color: black;">Nature Communications</a> </i> &nbsp;
The spatio-temporal properties of switching dynamics are found to be consistent with avalanches displaying power-law size and life-time distributions, with exponents obeying the crackling noise relationship  ...  AbstractThe brain's efficient information processing is enabled by the interplay between its neuro-synaptic elements and complex network structure.  ...  Acknowledgements The authors acknowledge use of the Artemis High Performance Computing resource at the Sydney Informatics Hub, a Core Research Facility of the University of Sydney.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1038/s41467-021-24260-z">doi:10.1038/s41467-021-24260-z</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/34188085">pmid:34188085</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/eavb5ge7uva2xhn5ltjkr4bp6i">fatcat:eavb5ge7uva2xhn5ltjkr4bp6i</a> </span>
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Estimating optimal sparseness of developmental gene networks using a semi-quantitative model

Natsuhiro Ichinose, Tetsushi Yada, Hiroshi Wada, Leonor Saiz
<span title="2017-04-21">2017</span> <i title="Public Library of Science (PLoS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/s3gm7274mfe6fcs7e3jterqlri" style="color: black;">PLoS ONE</a> </i> &nbsp;
These results suggest that the robustness to the two types of perturbations determines the sparseness of gene networks.  ...  We reconstruct a semi-quantitative model of gene networks from gene expression data in embryonic development and detect the optimal sparseness against perturbations.  ...  This property of the misexpression perturbation is responsible for the cascading failure that occurs in power transmission, computer networking, and finance [18] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1371/journal.pone.0176492">doi:10.1371/journal.pone.0176492</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/28430819">pmid:28430819</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC5400252/">pmcid:PMC5400252</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/wysrauabzbc35ftriik77lctca">fatcat:wysrauabzbc35ftriik77lctca</a> </span>
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Monotone and near-monotone biochemical networks

Eduardo D. Sontag
<span title="2007-07-04">2007</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/quz6vpzkkrep7mfejluwmagkra" style="color: black;">Journal of Systems and Synthetic Biology</a> </i> &nbsp;
Monotone subsystems have appealing properties as components of larger networks, since they exhibit robust dynamical stability and predictability of responses to perturbations.  ...  , recent research has shown that much insight can be attained from decomposing networks into monotone subsystems and the analysis of the resulting interconnections using tools from control theory.  ...  Acknowledgments Much of the author's work on I/O monotone systems was done in collaboration with David Angeli, as well as Patrick de Leenheer, German Enciso, Bhas kar Dasgupta, and Hal Smith.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s11693-007-9005-9">doi:10.1007/s11693-007-9005-9</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/19003437">pmid:19003437</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC2533521/">pmcid:PMC2533521</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/lhvv6ku7ljdp5i67cr2yplqna4">fatcat:lhvv6ku7ljdp5i67cr2yplqna4</a> </span>
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Proteogenomic convergence for understanding cancer pathways and networks

Emily S Boja, Henry Rodriguez
<span title="">2014</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/c7ryrhkpefc45bcasul3yeze7y" style="color: black;">Clinical Proteomics</a> </i> &nbsp;
proteotype to phenotype); and (2) target pathway-and network-driven changes and map the fluctuations of these functional units (proteins) responsible for cellular activities in response to perturbation  ...  changes in proteins and their interacting partners, isoforms, and post-translational modifications (PTMs) in response to stimuli in the context of signaling pathways and protein networks.  ...  Robert Clay Rivers for his critical reading of this review.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1186/1559-0275-11-22">doi:10.1186/1559-0275-11-22</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/24994965">pmid:24994965</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC4067069/">pmcid:PMC4067069</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/6so4o3yqzbg6rau4z53xnneu4q">fatcat:6so4o3yqzbg6rau4z53xnneu4q</a> </span>
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Can complexity science support the engineering of critical network infrastructures?

David L. Alderson, John C. Doyle
<span title="">2007</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hyrfp4q26bahtlwucwlaapnfwy" style="color: black;">2007 IEEE International Conference on Systems, Man and Cybernetics</a> </i> &nbsp;
We comment on the role of engineering in defining an architecture to support networked infrastructures and highlight recent advances in the theory of distributed control driven by network technologies.  ...  Specifically, we revisit the notion of "organized complexity" and suggest that it is fundamental to our ability to understand, operate, and design next-generation infrastructure networks.  ...  Moreover, how does one move from the analysis of complex network systems to the deployment, configuration, and management of such systems?  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/icsmc.2007.4414241">doi:10.1109/icsmc.2007.4414241</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/smc/AldersonD07.html">dblp:conf/smc/AldersonD07</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vkjfq23plnbczlr7xtzh34ymku">fatcat:vkjfq23plnbczlr7xtzh34ymku</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170829211919/http://www.cds.caltech.edu/~doyle/wiki/images/6/6e/CSMC2007.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/b1/19/b119da1c070e4efbaf5e765003ccf7f445045980.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/icsmc.2007.4414241"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Network Analysis for Complex Neurodegenerative Diseases

Claudia Manzoni, Patrick A. Lewis, Raffaele Ferrari
<span title="2020-01-17">2020</span> <i title="Springer Science and Business Media LLC"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/q42pyd3jfbhf3c3dy3wu5pfrma" style="color: black;">Current Genetic Medicine Reports</a> </i> &nbsp;
The increase in size and power of biomedical studies has led to the establishment of multi-centre, international working groups coordinating open access platforms for data generation, storage and analysis  ...  This review sits at the crossroad of different disciplines and surveys the recent developments in the use of graph theory (in the form of network analysis) to interpret large and different datasets in  ...  This is consequence of networks being relatively simple yet powerful tools for biological data inference. Machine learning (ML) has started to support network analysis [70] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s40142-020-00181-z">doi:10.1007/s40142-020-00181-z</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/y2v7toslfndvxh6x5yat3e3xpm">fatcat:y2v7toslfndvxh6x5yat3e3xpm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200325115520/https://link.springer.com/content/pdf/10.1007/s40142-020-00181-z.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/1a/96/1a96b2c4fd61725858003c0cb999f9d4c3782f26.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s40142-020-00181-z"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>

Size and Depth Separation in Approximating Benign Functions with Neural Networks [article]

Gal Vardi, Daniel Reichman, Toniann Pitassi, Ohad Shamir
<span title="2021-06-28">2021</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
When studying the expressive power of neural networks, a main challenge is to understand how the size and depth of the network affect its ability to approximate real functions.  ...  Our size-separation results rely on an analysis of size lower bounds for Boolean functions, which is of independent interest: We show linear size lower bounds for computing explicit Boolean functions with  ...  Arora and B. Barak. Computational complexity: a modern approach. Cambridge University Press, 2009.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2102.00314v3">arXiv:2102.00314v3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/v56bn7msrfe6ngltmxkhiqggr4">fatcat:v56bn7msrfe6ngltmxkhiqggr4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210701130542/https://arxiv.org/pdf/2102.00314v3.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/5f/00/5f007d12d302568fcfe8c82ba6e1dc95e559ffa9.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2102.00314v3" 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>

Structural robustness of mammalian transcription factor networks reveals plasticity across development

J. L. Caldu-Primo, E. R. Alvarez-Buylla, J. Davila-Velderrain
<span title="2018-09-17">2018</span> <i title="Springer Nature America, Inc"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/tnqhc2x2aneavcd3gx5h7mswhm" style="color: black;">Scientific Reports</a> </i> &nbsp;
Network biology aims to understand cell behavior through the analysis of underlying complex biomolecular networks.  ...  In line with this idea, the field of network biology has recently started shifting towards the characterization of condition-specific networks and analysis of circuitry dynamics, 9, 10 presumably due to  ...  with power-law degree distribution (B-A networks).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1038/s41598-018-32020-1">doi:10.1038/s41598-018-32020-1</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/30224745">pmid:30224745</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC6141546/">pmcid:PMC6141546</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/r2y4albbujhjbfuxuewkdsqn6u">fatcat:r2y4albbujhjbfuxuewkdsqn6u</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180723034217/https://www.biorxiv.org/content/biorxiv/early/2017/10/27/209528.full.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/9b/f8/9bf8ac1f95bb70260cce52586ab79ffeeca1d519.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1038/s41598-018-32020-1"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6141546" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>

Thermoelectric-Generator-Based DC–DC Conversion Networks for Automotive Applications

Molan Li, Shaohui Xu, Qiang Chen, Li-Rong Zheng
<span title="2011-03-15">2011</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/yhshdu56ljg4hjhoqlakbog6ye" style="color: black;">Journal of Electronic Materials</a> </i> &nbsp;
Part III first introduce the concept of the proposed TEG-based DC-DC converter network for automotive applications, and the topology of the proposed network is compared with that of the traditional single-stage  ...  The objectives of the project consists of providing optimal solution for the DC-DC converter utilized in the network, as well as developing a systematic and bottom-up design approach for the proposed network  ...  Analysis of Boost Converter Boost derived converters, both isolated and non-isolated versions, find many usage in the network proposed in this thesis.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s11664-011-1557-5">doi:10.1007/s11664-011-1557-5</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vboih43pa5a6roonljwthbmjae">fatcat:vboih43pa5a6roonljwthbmjae</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20151010105644/http://www.diva-portal.org:80/smash/get/diva2:446877/FULLTEXT01.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/84/cb/84cb574e204a36e075b57aca426f8b7dcbeadff3.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/s11664-011-1557-5"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> springer.com </button> </a>
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