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Multiscale Modeling of Biopolymer Production in Multicellular Systems

A. Franz, H. Grammel, R. Rehner, P. Paetzold, A. Kienle
<span title="">2012</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/p3wtlm3j2fedxitkuu4bs3scau" style="color: black;">IFAC Proceedings Volumes</a> </i> &nbsp;
The reduced single cell model is used to develop a population balance model for predicting heterogeneity in multicellular production processes.  ...  Thus, we have combined the cybernetic modeling approach with population balance modeling, which consequently includes cell internal regulation.  ...  ACKNOWLEDGEMENTS We appreciate the financial support of the German Federal Ministry for Education and Research (BMBF) under the FORSYS program.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3182/20120215-3-at-3016.00057">doi:10.3182/20120215-3-at-3016.00057</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/krdrnsomr5cdjaf4pfuru7gi5e">fatcat:krdrnsomr5cdjaf4pfuru7gi5e</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170815152905/http://pubman.mpdl.mpg.de/pubman/item/escidoc:1753084/component/escidoc:2213906/1753084_franz.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/9c/7f/9c7f71370b48d7b9d372cfa02b1b16ac22cb7d9e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3182/20120215-3-at-3016.00057"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Stochastic solution of population balance equations for reactor networks

William J. Menz, Jethro Akroyd, Markus Kraft
<span title="">2014</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/f7kkigxhzjakref5b42jt4uoya" style="color: black;">Journal of Computational Physics</a> </i> &nbsp;
This work presents a sequential modular approach to solve a generic network of reactors with a population balance model using a stochastic numerical method.  ...  The optimal algorithm was subsequently used to solve a one-dimensional example of silicon nanoparticle synthesis using a multivariate particle model.  ...  The algorithm employed to solve the fullycoupled gas-phase ODE system with the stochastic population balance solver for N reac reactors is given in Figure 1 .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.jcp.2013.09.021">doi:10.1016/j.jcp.2013.09.021</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/gdyiwqcje5gutlec4bbaa2ykca">fatcat:gdyiwqcje5gutlec4bbaa2ykca</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20140514121724/http://como.cheng.cam.ac.uk:80/preprints/c4e-Preprint-127.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/69/d3/69d37c6f41af6e9de49740f46bfcc48736a1326d.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.jcp.2013.09.021"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Efficient DQMOM for Multivariate Population Balance Equations and Application to Virus Replication in Cell Cultures

R. Dürr, T. Müller, A. Kienle
<span title="">2015</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 algorithm is used to analyze the effects of different model assumptions on the overall dynamics. Abstract: Population balances play an important role in process and bioprocess engineering.  ...  The algorithm is used to analyze the effects of different model assumptions on the overall dynamics. Abstract: Population balances play an important role in process and bioprocess engineering.  ...  A STRUCTURED POPULATION BALANCE MODEL FOR VIRUS REPLICATION IN CELL CULTURES Influenza vaccine production in mammalian cell cultures constitutes a great example of a biotechnological process that is characterized  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.ifacol.2015.05.045">doi:10.1016/j.ifacol.2015.05.045</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/27oh44hcmncqdisepcaffml2pa">fatcat:27oh44hcmncqdisepcaffml2pa</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170922022759/http://pubman.mpdl.mpg.de/pubman/item/escidoc:2134337/component/escidoc:2243318/2134337_duerr.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/ec/d0/ecd0472d5d47603873c68712602246396284b3a0.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.ifacol.2015.05.045"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Nonlinear control of particulate processes

Timothy Chiu, Panagiotis D. Christofides
<span title="">1999</span> <i title="Wiley"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/joaupsbqrfdtzd2cc5s3iygkay" style="color: black;">AIChE Journal</a> </i> &nbsp;
A general methodology is proposed for the synthesis of practically-implementable nonlinear output feedback controllers for spatially-homogeneous particulate processes modeled by population balance equations  ...  These ODE systems are then used for the synthesis of nonlinear low-order output feedback controllers that enforce exponential stability in the closed-loop system and achie®e particle-size distributions  ...  Furthermore, a direct application of the aforementioned solution methods to derive finite-dimensional approximations of the population balance models may lead to ODE systems of very high order, which are  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1002/aic.690450613">doi:10.1002/aic.690450613</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/k6qpqd53lfhpbedhv6koqa6vvi">fatcat:k6qpqd53lfhpbedhv6koqa6vvi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170810071709/http://pdclab.seas.ucla.edu/Publications/TChiu/TChiu_PDChristofides_AIChEJ_1999_45_Nonlinear_Control_Particulate_Processes.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/97/64/9764bbc00178d5008b8a82ea3871a54a07bac0c3.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1002/aic.690450613"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> wiley.com </button> </a>

Order Reduction of the Chemical Master Equation via Balanced Realisation

Fernando López-Caamal, Tatiana T. Marquez-Lago, Lars Kaderali
<span title="2014-08-14">2014</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;
Here, we derive a reduced ODE set that accurately approximates the probabilities of subspaces of interest with a known error bound.  ...  Our methodology is based on model reduction by balanced truncation and can be considerably more computationally efficient than the Finite State Projection Algorithm (FSP) when used for obtaining transient  ...  system with a smaller number of ODEs.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1371/journal.pone.0103521">doi:10.1371/journal.pone.0103521</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/25121581">pmid:25121581</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC4133211/">pmcid:PMC4133211</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/qu4tbvvblnejrh524jaacshvsq">fatcat:qu4tbvvblnejrh524jaacshvsq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20171010043036/http://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0103521&amp;type=printable" 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/a3/42/a34256fcbd2a7d01e1b9d902f79da7e17b809225.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1371/journal.pone.0103521"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> plos.org </button> </a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4133211" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>

Dynamic Density Estimation in Heterogeneous Cell Populations

Armin Kuper, Robert Durr, Steffen Waldherr
<span title="">2018</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/znarxrqppban5cgvtcmrjtonwm" style="color: black;">IEEE Control Systems Letters</a> </i> &nbsp;
Population balance modeling allows for a natural description of cell-to-cell variability.  ...  balance model.  ...  This article has been accepted for publication in a future issue of this journal, but has not been fully edited. Content may change prior to final publication.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/lcsys.2018.2847905">doi:10.1109/lcsys.2018.2847905</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/m5i3hzyb5fckjgv4vfkgtpt6uy">fatcat:m5i3hzyb5fckjgv4vfkgtpt6uy</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200905051556/https://arxiv.org/pdf/1807.05064v1.pdf" title="fulltext PDF download [not primary version]" 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] <span style="color: #f43e3e;">&#10033;</span> <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ef/c5/efc5d033c4eb93a17156d7767a949f04557af25d.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/lcsys.2018.2847905"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Mean Field and Refined Mean Field Approximations for Heterogeneous Systems

Sebastian Allmeier, Nicolas Gast
<span title="2022-06-06">2022</span> <i title="ACM"> Abstract Proceedings of the 2022 ACM SIGMETRICS/IFIP PERFORMANCE Joint International Conference on Measurement and Modeling of Computer Systems </i> &nbsp;
For moderate system sizes (𝑛 ≈ 30) the refined mean field approximation tends to be more accurate than simulations for any reasonable simulation time.  ...  We define an interaction model that allows obtaining asymptotic convergence results for stochastic systems with heterogeneous object behavior and show that the error of the mean field approximation is  ...  For such a system, we show that it is possible to construct a set of ordinary differential equations (ODEs) which approximates P (𝑆 𝑘 (𝑡) = 𝑠), the probability for an object 𝑘 to be in a state 𝑠  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/3489048.3522653">doi:10.1145/3489048.3522653</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/l2lfv5r2tveh7odgvfex4yqot4">fatcat:l2lfv5r2tveh7odgvfex4yqot4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20220614131958/https://dl.acm.org/doi/pdf/10.1145/3489048.3522653" 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/9e/3d/9e3df42cb48bb31ef9ad4d5f2cc2377e9d780150.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/3489048.3522653"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> acm.org </button> </a>

A Refined Mean Field Approximation

Nicolas Gast, Benny Van Houdt
<span title="2017-12-19">2017</span> <i title="Association for Computing Machinery (ACM)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/bkffycotbvf47idfrgeu4lgcdq" style="color: black;">Proceedings of the ACM on Measurement and Analysis of Computing Systems</a> </i> &nbsp;
Nevertheless this accuracy very much depends on the exact parameter settings, for instance mean field models for load balancing systems are known to be quite inaccurate under high loads even for moderate  ...  high even for systems of moderate size, e.g., for N ≈ 50.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/3154491">doi:10.1145/3154491</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/journals/pomacs/GastH17.html">dblp:journals/pomacs/GastH17</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5jwju6hkfrestc5byqvub26pwu">fatcat:5jwju6hkfrestc5byqvub26pwu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190426202816/https://hal.inria.fr/hal-01891642/file/abstract_GastVanHoudt_sig18.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/62/42/6242a4960bacbba52bc8c7e113b545a0e2b5ee0e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1145/3154491"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> acm.org </button> </a>

Simulation and control of nanoparticle size distribution in a high temperature reactor

Oluranti Sadiku-Agboola, Andrei Kolesnikov, Emmanuel Sadiku
<span title="2012-01-01">2012</span> <i title="Walter de Gruyter GmbH"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nqonoxfsqrfq3mflb7l2rheidm" style="color: black;">Polish Journal of Chemical Technology</a> </i> &nbsp;
Firstly, a model known as population balance model was derived. This model describes the formation of particles via nucleation and growth.  ...  The simulation results from the above model demonstrated that the reduced population balance can be effectively used to control the PSD.  ...  CONCLUSIONS In this work, the population balance model was developed. The model accounts for the simultaneous nucleation, condensation and coagulation for the control of size distribution.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2478/v10026-012-0052-y">doi:10.2478/v10026-012-0052-y</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/wibhlpuli5e55i7imiamokby4q">fatcat:wibhlpuli5e55i7imiamokby4q</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190430215946/https://content.sciendo.com/downloadpdf/journals/pjct/14/1/article-p5.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/6c/8c/6c8ca553c2a379e1a36429740c1242dd313e54e1.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.2478/v10026-012-0052-y"> <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>

Wavelet-Based Model Reduction of Breakage Processes

Y. Liu, M.O. Tadé
<span title="">2004</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/p3wtlm3j2fedxitkuu4bs3scau" style="color: black;">IFAC Proceedings Volumes</a> </i> &nbsp;
A procedure which is motivated by the theory of singular perturbation is then proposed for the construction of approximate inertial manifold.  ...  Mathematical models of breakage processes are composed of partial integro-differential equations. For process optimisation and controller synthesis, a low-order model is preferred.  ...  A wavelet- Galerkin method for solving population balance equations.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s1474-6670(17)31854-2">doi:10.1016/s1474-6670(17)31854-2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/cegk3ak7encf7b6vzd3loknare">fatcat:cegk3ak7encf7b6vzd3loknare</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200320011721/https://folk.ntnu.no/skoge/prost/proceedings/dycops04/pdffiles/papers/16.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/2e/03/2e03cc3e0e7c129dcd5e870d8e97530631f9008e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s1474-6670(17)31854-2"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Automatic differentiation-based quadrature method of moments for solving population balance equations

Vinay Kariwala, Yi Cao, Zoltan K. Nagy
<span title="2011-05-18">2011</span> <i title="Wiley"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/joaupsbqrfdtzd2cc5s3iygkay" style="color: black;">AIChE Journal</a> </i> &nbsp;
This paper presents a variant Quadrature Method of Moments (QMOM) for the solution of dynamic Population Balance Models (PBMs) involv ing kinetic processes of nucleation, growth, aggregation and breakage  ...  Several numerical test cases for different combinations of processes are carried out.  ...  Fazal Rahim Marwat, Vice Chancellor Bacha Khan University Charsadda, for his support and providing research facilities.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1002/aic.12613">doi:10.1002/aic.12613</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5tuck6g5urhunpfujyrpdyephi">fatcat:5tuck6g5urhunpfujyrpdyephi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170813115026/http://www.idosi.org/wasj/wasj20(12)12/1.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/c6/b6/c6b6f2e992fde11344e743eaa9de43e10646b11b.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1002/aic.12613"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> wiley.com </button> </a>

Mixed Effects Modeling Using Stochastic Differential Equations: Illustrated by Pharmacokinetic Data of Nicotinic Acid in Obese Zucker Rats

Jacob Leander, Joachim Almquist, Christine Ahlström, Johan Gabrielsson, Mats Jirstrand
<span title="2015-02-19">2015</span> <i title="American Association of Pharmaceutical Scientists (AAPS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/pgenyoiihzh5jejyszancarsyu" style="color: black;">AAPS Journal</a> </i> &nbsp;
The approximate population likelihood is derived using the first-order conditional estimation with interaction method and extended Kalman filtering.  ...  These examples demonstrate that stochastic differential mixed effects models are useful tools for identifying incomplete or inaccurate model dynamics and for reducing potential bias in parameter estimates  ...  ACKNOWLEDGMENTS This project has partly been supported by the Swedish Foundation for Strategic Research, which is gratefully acknowledged.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1208/s12248-015-9718-8">doi:10.1208/s12248-015-9718-8</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/25693487">pmid:25693487</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC4406960/">pmcid:PMC4406960</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/jkjdgmmejra7ffzgimlw74sm3a">fatcat:jkjdgmmejra7ffzgimlw74sm3a</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20171014113608/http://publisher-connector.core.ac.uk/resourcesync/data/Springer-OA/pdf/738/aHR0cDovL2xpbmsuc3ByaW5nZXIuY29tLzEwLjEyMDgvczEyMjQ4LTAxNS05NzE4LTgucGRm.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/6e/9e/6e9e62d0cfe4f1c01171a1850e0cf4d3228cd640.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1208/s12248-015-9718-8"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4406960" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>

Large population and long-term behavior of a stochastic binary opinion model [article]

Serap Tay Stamoulas, Muruhan Rathinam
<span title="2019-08-11">2019</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Considering the number of agents with opinion 1 as a continuous time Markov process, we analyze the long-term probabilities for large population size in relation to the personalities of the group.  ...  We propose and study a stochastic binary opinion model where agents in a group are considered to hold an opinion of 0 or 1 at each moment.  ...  can be taken as a good approximation of sampling the entire population.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1902.03107v2">arXiv:1902.03107v2</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/tjkfxmnot5anfpkpp2yr3u6ple">fatcat:tjkfxmnot5anfpkpp2yr3u6ple</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200902144413/https://arxiv.org/pdf/1902.03107v1.pdf" title="fulltext PDF download [not primary version]" 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] <span style="color: #f43e3e;">&#10033;</span> <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/b6/d5/b6d5c2ce2bd2285f12979e17f0ddbdc6be03b58f.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1902.03107v2" 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>

Robust control of particulate processes using uncertain population balances

Timothy Y. Chiu, Panagiotis D. Christofides
<span title="">2000</span> <i title="Wiley"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/joaupsbqrfdtzd2cc5s3iygkay" style="color: black;">AIChE Journal</a> </i> &nbsp;
A general method is proposed for the synthesis of robust, nonlinear controllers for spatially homogeneous particulate processes described by population balances including time-®arying uncertain ®ariables  ...  The controllers are synthesized ®ia Lyapuno®'s direct method on the basis of finite-dimensional approximations of the population balances which are obtained by using the method of weighted residuals.  ...  Since this model is infinite-dimensional, we will initially use the method of weighted residuals to derive an ODE approximation of the system of Eq. 4 that will be used for the synthesis of the robust  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1002/aic.690460207">doi:10.1002/aic.690460207</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/r5s2vpvm5bcrxb6jtpvpzkraom">fatcat:r5s2vpvm5bcrxb6jtpvpzkraom</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809063825/http://pdclab.seas.ucla.edu/Publications/TChiu/TChiu_PDChristofides_AIChEJ_2000_46_Robust_Control_Particulate_Processes_Uncertain_Population_Balances.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/87/34/8734bf3c4b2843f968b89dbf62933fe5bb63e66c.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1002/aic.690460207"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> wiley.com </button> </a>

Mean-Field Limits Beyond Ordinary Differential Equations [chapter]

Luca Bortolussi, Nicolas Gast
<span title="">2016</span> <i title="Springer International Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/2w3awgokqne6te4nvlofavy5a4" style="color: black;">Lecture Notes in Computer Science</a> </i> &nbsp;
We study the limiting behaviour of stochastic models of populations of interacting agents, as the number of agents goes to infinity.  ...  In these cases, it is still possible to exhibit a limiting regime at the price of replacing the ODE by a more complex dynamical system.  ...  Related work and examples Load balancing and discontinuous dynamics. The use of mean field approximation is popular for studying load-balancing policies in server farms.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-319-34096-8_3">doi:10.1007/978-3-319-34096-8_3</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/joi46epaa5hbhml4h4radenkc4">fatcat:joi46epaa5hbhml4h4radenkc4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170829032230/https://hal.inria.fr/hal-01334358/document" 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/d5/83/d583112075cdb1780231c2bb4e51263916c0499e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1007/978-3-319-34096-8_3"> <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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