Dynamics of Polymerization of Macromolecules with Multiple Binding Sites
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moments
colored noise
gelation
colored noise
gelation
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Laurenzi, Ian J.
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In Nature, there are many examples of biological polymerizations in which the monomers possess multiple binding sites. Under certain circumstances, such branched polymerizations may produce a large macroparticle that constitutes a significant fraction of the monomers. In this paper, we show that the polymerizations of antibodies with antigens and the polymerization of fibrin are of this type. We then present the results of stochastic simulations for the time-evolutions of these processes, and characterize their gel transitions. Finally, we relate the innate fluctuations of these processes to the gel transition, and demonstrate the necessity of using a stochastic approach to quantify polymerization kinetics.
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2002-10-23
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Departmental Papers (CBE)
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2023-05-16T21:44:28.000
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Copyright 2002 IEEE. Reprinted from Proceedings of the Second Joint Engineering in Medicine and Biology Society/Biomedical Engineering Society Conference 2002 (EMBS/BMES 2002), Volume 3, page 2204. Publisher URL: http://ieeexplore.ieee.org/xpl/tocresult.jsp?isNumber=22474&page=14 This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Pennsylvania's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
Copyright 2002 IEEE. Reprinted from Proceedings of the Second Joint Engineering in Medicine and Biology Society/Biomedical Engineering Society Conference 2002 (EMBS/BMES 2002), Volume 3, page 2204. Publisher URL: http://ieeexplore.ieee.org/xpl/tocresult.jsp?isNumber=22474&page=14 This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Pennsylvania's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
Copyright 2002 IEEE. Reprinted from Proceedings of the Second Joint Engineering in Medicine and Biology Society/Biomedical Engineering Society Conference 2002 (EMBS/BMES 2002), Volume 3, page 2204. Publisher URL: http://ieeexplore.ieee.org/xpl/tocresult.jsp?isNumber=22474&page=14 This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Pennsylvania's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.