A phenomenological model for the degradation of biodegradable polymers
Abstract
This paper presents a phenomenological diffusion-reaction model for the biodegradation of biodegradable polymers. The biodegradation process is modelled using a set of simplified reaction-diffusion equations. These partial differential equations are non-dimensionalised giving two normalised parameters which control the interplay between the hydrolysis reaction and the monomer diffusion. The equations are firstly solved for simple cases of plates and pins. The numerical results are presented in the form of biodegradation maps which show the conditions where the biodegradation is controlled by auto-catalysed hydrolysis, non-catalysed hydrolysis, a combination of auto-catalysed and non-catalysed hydrolyses, or a combination of hydrolysis and monomer diffusion, respectively. The degradation maps provide a clear guide for the design of biodegradable fixation devices used in orthopaedic surgeries. Finally the diffusion-reaction equations are solved using the finite element method for strip and square meshes, showing how the model can be used to assist the design of sophisticated fixation devices.
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The rapid decrease in molecular weight is explained by the highest concentration of ester bonds per volume unit leading to a greater ability of long chains to be hydrolysed.
“This trend is explained by the highest concentration of ester bonds per volume unit leading to a greater ability of long chains to be hydrolysed (Wang et al., 2008).”
From Mechanical behaviour׳s evolution of a PLA-b-PEG-b-PLA triblock copolymer during hydrolytic degradation (2016) · cites this paper as Wang et al., 2008
Cites
Kinetics of Phase Change. I General Theory
Avrami, M. (1939) · The Journal of Chemical Physics · doi:10.1063/1.1750380 · Cited by 11,417 · see citing works
Kinetics of Phase Change. II Transformation-Time Relations for Random Distribution of Nuclei
Avrami, M. (1940) · The Journal of Chemical Physics · doi:10.1063/1.1750631 · Cited by 8,755 · see citing works
Granulation, Phase Change, and Microstructure Kinetics of Phase Change. III
Avrami, M. (1941) · The Journal of Chemical Physics · doi:10.1063/1.1750872 · Cited by 6,609 · see citing works
Modeling of drug release from delivery systems based on hydroxypropyl methylcellulose (HPMC)
Siepmann, J. (2001) · Advanced Drug Delivery Reviews · doi:10.1016/s0169-409x(01)00112-0 · Cited by 2,618 · see citing works
Hydrolytic degradation of devices based on poly(DL-lactic acid) size-dependence
Grizzi, I., Garreau, H., Li, S., & Vert, M. (1995) · Biomaterials · doi:10.1016/0142-9612(95)93258-f · Cited by 895 · see citing works
Mathematical modeling of bioerodible, polymeric drug delivery systems
Siepmann, J. (2001) · Advanced Drug Delivery Reviews · doi:10.1016/s0169-409x(01)00116-8 · Cited by 774 · see citing works
Tsuji, H., & Ikada, Y. (2000) · Polymer Degradation and Stability · doi:10.1016/s0141-3910(99)00111-1 · Cited by 329 · see citing works
Tsuji, H. (2002) · Polymer · doi:10.1016/s0032-3861(01)00752-2 · Cited by 226 · see citing works
Tsuji, H. (2000) · Polymer · doi:10.1016/s0032-3861(99)00545-5 · Cited by 200 · see citing works
The Use of Biodegradable Plates and Screws to Stabilize Facial Fractures
Bell, R. B., & Kindsfater, C. S. (2005) · Journal of Oral and Maxillofacial Surgery · doi:10.1016/j.joms.2005.09.010 · Cited by 156 · see citing works
The effect of crystallinity on the deformation mechanism and bulk mechanical properties of PLLA
Renouf-Glauser, A. C., Rose, J., Farrar, D. F., & Cameron, R. E. (2005) · Biomaterials · doi:10.1016/j.biomaterials.2005.03.002 · Cited by 153 · see citing works
Zong, X., Wang, Z., Hsiao, B. S., Chu, B., Zhou, J. J., Jamiolkowski, D. D., Muse, E., & Dormier, E. (1999) · Macromolecules · doi:10.1021/ma990630p · Cited by 141 · see citing works
Tsuji, H., & Muramatsu, H. (2001) · Polymer Degradation and Stability · doi:10.1016/s0141-3910(00)00192-0 · Cited by 105 · see citing works
Hydrolytic degradation of poly(d,l-lactide) as a function of end group: Carboxylic acid vs. hydroxyl
Wiggins, J. S., Hassan, M. K., Mauritz, K. A., & Storey, R. F. (2006) · Polymer · doi:10.1016/j.polymer.2006.01.021 · Cited by 103 · see citing works
Modeling monomer release from bioerodible polymers
Goepferich, A. M., & Langer, R. (1995) · Journal of Controlled Release · doi:10.1016/0168-3659(94)00064-2 · Cited by 97 · see citing works
In vitro hydrolysis of poly(l-lactide) crystalline residues as extended-chain crystallites
Tsuji, H., & Ikarashi, K. (2004) · Polymer Degradation and Stability · doi:10.1016/j.polymdegradstab.2004.03.004 · Cited by 96 · see citing works
Zygourakis, K., & Markenscoff, P. A. (1996) · Biomaterials · doi:10.1016/0142-9612(96)85757-7 · Cited by 96 · see citing works
Siepmann, J., Siepmann, F., & Florence, A. T. (2006) · International Journal of Pharmaceutics · doi:10.1016/j.ijpharm.2005.07.027 · Cited by 82 · see citing works
Dynamics of controlled release from bioerodible matrices
Joshi, A., & Himmelstein, K. J. (1991) · Journal of Controlled Release · doi:10.1016/0168-3659(91)90067-n · Cited by 59 · see citing works
Inion biodegradable plates: The first century
Wood, G. D. (2005) · British Journal of Oral and Maxillofacial Surgery · doi:10.1016/j.bjoms.2005.07.026 · Cited by 51 · see citing works
A separation of scales homogenization analysis for the modelling of calcium leaching in concrete
Nguyen, V., Nedjar, B., Colina, H., & Torrenti, J. (2005) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2005.02.036 · Cited by 45 · see citing works
The use of biodegradable plates and screws to stabilize facial fractures
Bell, R. A., & Kindsfater, C. S. (2005) · International Journal of Oral and Maxillofacial Surgery · doi:10.1016/s0901-5027(05)81206-8 · Cited by 35 · see citing works
Editorial: Is there a need for resorbable implants or bone substitutes?
Gutwald, R., Schön, R., Gellrich, N.-C., Schramm, A. R., Schmelzeisen, R., & Pistner, H. (2002) · Injury · doi:10.1016/s0020-1383(02)00127-4 · Cited by 10 · see citing works
Flagged first, then by citations
1 of the 24 references couldn’t be matched to a known paper.
Cited by
Sorted by citations
Lifetime prediction of biodegradable polymers
Laycock, B. G., Nikolić, M., Colwell, J. M., Gauthier, E., Halley, P. J., Bottle, S. E., & George, G. A. (2017) · Progress in Polymer Science · doi:10.1016/j.progpolymsci.2017.02.004 · Cited by 661 · see citing works
Peppas, N. A., & Narasimhan, B. (2014) · Journal of Controlled Release · doi:10.1016/j.jconrel.2014.06.041 · Cited by 565 · see citing works
Xu, Y., Kim, C. S., Saylor, D. M., & Koo, D. (2016) · Journal of Biomedical Materials Research Part B Applied Biomaterials · doi:10.1002/jbm.b.33648 · Cited by 434 · see citing works
Versypt, A. N. F., Pack, D. W., & Braatz, R. D. (2012) · Journal of Controlled Release · doi:10.1016/j.jconrel.2012.10.015 · Cited by 346 · see citing works
Mechanical study of PLA–PCL fibers during in vitro degradation
Vieira, A. C., Vieira, J. C., Ferra, J. M. M., Magalhães, F. D., Guedes, R. M., & Marques, A. T. (2010) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2010.12.006 · Cited by 268 · see citing works
A review on the thermomechanical properties and biodegradation behaviour of polyesters
Larrañaga, A., & Lizundia, E. (2019) · European Polymer Journal · doi:10.1016/j.eurpolymj.2019.109296 · Cited by 259 · see citing works
Hydrolysis and Biodegradation of Poly(lactic acid)
Gorrasi, G., & Pantani, R. (2017) · Advances in polymer science · doi:10.1007/12_2016_12 · Cited by 192 · see citing works
Selective degradation of biodegradable blends in simulated laboratory composting
Tabasi, R. Y., & Ajji, A. (2015) · Polymer Degradation and Stability · doi:10.1016/j.polymdegradstab.2015.07.020 · Cited by 164 · see citing works
Gleadall, A., Pan, J., Kruft, M.-A., & Kellomäki, M. (2014) · Acta Biomaterialia · doi:10.1016/j.actbio.2013.12.039 · Cited by 165 · see citing works
Sustainable Design of Structural and Functional Polymers for a Circular Economy
von Vacano, B., Mangold, H. S., Vandermeulen, G. W. M., Battagliarin, G., Hofmann, M., Bean, J., & Künkel, A. (2022) · Angewandte Chemie International Edition · doi:10.1002/anie.202210823 · Cited by 169 · see citing works
Chen, Y., Zhou, S., & Li, Q. (2010) · Acta Biomaterialia · doi:10.1016/j.actbio.2010.09.038 · Cited by 156 · see citing works
Softening bioactive glass for bone regeneration: sol–gel hybrid materials
Valliant, E. M., & Jones, J. R. (2011) · Soft Matter · doi:10.1039/c0sm01348j · Cited by 148 · see citing works
A model for simultaneous crystallisation and biodegradation of biodegradable polymers
Han, X., & Pan, J. (2009) · Biomaterials · doi:10.1016/j.biomaterials.2008.10.001 · Cited by 143 · see citing works
Limsukon, W., Rubino, M. I., Rabnawaz, M., Lim, L., & Auras, R. A. (2023) · Polymer Degradation and Stability · doi:10.1016/j.polymdegradstab.2023.110537 · Cited by 138 · see citing works
Performance of conducting polymer electrodes for stimulating neuroprosthetics
Green, R. A., Matteucci, P. B., Hassarati, R. T., Giraud, B., Dodds, C. W. D., Chen, S., Byrnes-Preston, P., Suaning, G. J., Poole-Warren, L. A., & Lovell, N. H. (2013) · Journal of Neural Engineering · doi:10.1088/1741-2560/10/1/016009 · Cited by 127 · see citing works
A model for hydrolytic degradation and erosion of biodegradable polymers
Sevim, K., & Pan, J. (2017) · Acta Biomaterialia · doi:10.1016/j.actbio.2017.11.023 · Cited by 114 · see citing works
Mathematical modeling of polymer erosion: Consequences for drug delivery
Sackett, C. K., & Narasimhan, B. (2010) · International Journal of Pharmaceutics · doi:10.1016/j.ijpharm.2010.11.048 · Cited by 111 · see citing works
Andreaus, U., Giorgio, I., & Lekszycki, T. (2013) · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · doi:10.1002/zamm.201200182 · Cited by 105 · see citing works
A Review of Material Degradation Modelling for the Analysis and Design of Bioabsorbable Stents
Boland, E. L., Shine, C. J., Kelly, N., Sweeney, C. A., & McHugh, P. E. (2015) · Annals of Biomedical Engineering · doi:10.1007/s10439-015-1413-5 · Cited by 100 · see citing works
Mathematical Modeling of PLGA Microparticles: From Polymer Degradation to Drug Release
Casalini, T., Rossi, F., Lazzari, S., Perale, G., & Masi, M. (2014) · Molecular Pharmaceutics · doi:10.1021/mp500078u · Cited by 92 · see citing works
Degradation of synthetic polymeric scaffolds for bone and cartilage tissue repairs
Eglin, D., Mortisen, D. J., & Alini, M. (2009) · Soft Matter · doi:10.1039/b803718n · Cited by 90 · see citing works
Limsukon, W., Auras, R. A., & Selke, S. E. M. (2019) · Polymer Testing · doi:10.1016/j.polymertesting.2019.106108 · Cited by 83 · see citing works
Gleadall, A., Pan, J., Kruft, M.-A. B., & Kellomäki, M. (2014) · Acta Biomaterialia · doi:10.1016/j.actbio.2014.01.017 · Cited by 73 · see citing works
Modelling bioactivity and degradation of bioactive glass based tissue engineering scaffolds
Sanz‐Herrera, J. A., & Boccaccini, A. R. (2010) · International Journal of Solids and Structures · doi:10.1016/j.ijsolstr.2010.09.025 · Cited by 71 · see citing works
Polak-Kraśna, K., Abaei, A. R., Shirazi, R. N., Parle, E., Carroll, O., Ronan, W., & Vaughan, T. J. (2021) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2021.104409 · Cited by 70 · see citing works
Gleadall, A., Pan, J., & Atkinson, H. (2012) · Polymer Degradation and Stability · doi:10.1016/j.polymdegradstab.2012.06.023 · Cited by 67 · see citing works
Chernozem, R. V., Guselnikova, O., Surmeneva, M. A., Постников, П. С., Abalymov, A. A., Parakhonskiy, B. V., Roo, N. D., Depla, D., Skirtach, A. G., & Анатольевич, С. Р. (2020) · Applied Materials Today · doi:10.1016/j.apmt.2020.100758 · Cited by 67 · see citing works
Han, X., Pan, J., Buchanan, F., Weir, N. A., & Farrar, D. F. (2010) · Acta Biomaterialia · doi:10.1016/j.actbio.2010.05.015 · Cited by 67 · see citing works
Passive and Active Microrheology for Biomedical Systems
Mao, Y., Nielsen, P., & Ali, J. (2022) · Frontiers in Bioengineering and Biotechnology · doi:10.3389/fbioe.2022.916354 · Cited by 61 · see citing works
PLLA-PHB fiber membranes obtained by solvent-free electrospinning for short-time drug delivery
Cao, K., Liu, Y., Olkhov, A. A., Siracusa, V., & Иорданский, А. Л. (2017) · Drug Delivery and Translational Research · doi:10.1007/s13346-017-0463-7 · Cited by 60 · see citing works
Hajilou, N., Mostafayi, S. S., Yarin, A. L., & Shokuhfar, T. (2024) · AppliedChem · doi:10.3390/appliedchem5010001 · Cited by 58 · see citing works
Han, X., & Pan, J. (2010) · Acta Biomaterialia · doi:10.1016/j.actbio.2010.09.005 · Cited by 56 · see citing works
Manivasagan, P., Kim, J., & Jang, E. (2022) · Coordination Chemistry Reviews · doi:10.1016/j.ccr.2022.214701 · Cited by 55 · see citing works
A mathematical approach to bone tissue engineering
Sanz‐Herrera, J. A., García‐Aznar, J. M., & Doblaré, M. (2009) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2009.0055 · Cited by 54 · see citing works
Computational modeling of degradation process of biodegradable magnesium biomaterials
Barzegari, M., Mei, D., Lamaka, S. V., & Geris, L. (2021) · Corrosion Science · doi:10.1016/j.corsci.2021.109674 · Cited by 52 · see citing works
Wang, Y., Han, X., Pan, J., & Sinka, C. (2009) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2009.02.003 · Cited by 52 · see citing works
Electrochemical and biological performance of chronically stimulated conductive hydrogel electrodes
Dalrymple, A. N., Robles, U. A. A., Huynh, M., Nayagam, B. A., Green, R. A., Poole-Warren, L. A., Fallon, J. B., & Shepherd, R. K. (2020) · Journal of Neural Engineering · doi:10.1088/1741-2552/ab7cfc · Cited by 51 · see citing works
Engineering design and mechanistic mathematical models: Standpoint on cutting edge drug delivery
Parmar, A., & Sharma, S. (2017) · TrAC Trends in Analytical Chemistry · doi:10.1016/j.trac.2017.12.008 · Cited by 46 · see citing works
Mechanical properties of biodegradable polymers for medical applications
Gleadall, A. (2014) · Elsevier eBooks · doi:10.1533/9781782420255.2.163 · Cited by 44 · see citing works
Photodegradation Mechanisms on Poly(ε-caprolactone) (PCL)
França, D. C., Morais, D. D., Bezerra, E. B., Araújo, E. M., & Wellen, R. M. R. (2018) · Materials Research · doi:10.1590/1980-5373-mr-2017-0837 · Cited by 43 · see citing works
A model for biodegradation of composite materials made of polyesters and tricalcium phosphates
Pan, J., Han, X., Niu, W., & Cameron, R. E. (2010) · Biomaterials · doi:10.1016/j.biomaterials.2010.11.076 · Cited by 41 · see citing works
Savaris, M., Braga, G. L., dos Santos, V., Carvalho, G. A., Falavigna, A., Machado, D. C., Viezzer, C., & Brandalise, R. N. (2017) · International Journal of Polymer Science · doi:10.1155/2017/7158650 · Cited by 40 · see citing works
Heljak, M. K., Święszkowski, W., & Kurzydłowski, K. J. (2014) · Journal of Applied Polymer Science · doi:10.1002/app.40280 · Cited by 37 · see citing works
3D printing for tissue/organ regeneration in China
He, C., He, J., Wu, C., Ruan, C., Gu, Q., Hao, Y., Wu, Y. B., Bai, S., Han, X., Ouyang, L., et al. (2025) · Bio-Design and Manufacturing · doi:10.1631/bdm.2400309 · Cited by 40 · see citing works
Foroughi, A. H., Valeri, C., & Razavi, M. J. (2024) · Progress in Biomedical Engineering · doi:10.1088/2516-1091/ad879a · Cited by 38 · see citing works
Pan, Z., & Brassart, L. (2023) · Acta Biomaterialia · doi:10.1016/j.actbio.2023.06.021 · Cited by 34 · see citing works
A multi-scale method for modeling degradation of bioresorbable polyesters
Zhang, T., Zhou, S., Xiaohao, G., Yang, Z., Leran, S., & Zhang, D. (2016) · Acta Biomaterialia · doi:10.1016/j.actbio.2016.12.046 · Cited by 34 · see citing works
Shirazi, R. N., Ronan, W., Rochev, Y. A., & McHugh, P. E. (2015) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2015.08.030 · Cited by 34 · see citing works
Impact of polymer structure and composition on fully resorbable endovascular scaffold performance
Ferdous, J., Kolachalama, V. B., & Shazly, T. M. (2012) · Acta Biomaterialia · doi:10.1016/j.actbio.2012.12.011 · Cited by 34 · see citing works
Scaffaro, R., Maio, A., & Gulino, E. F. (2021) · Composites Science and Technology · doi:10.1016/j.compscitech.2021.108930 · Cited by 33 · see citing works
Breche, Q., Chagnon, G., Machado, G., Girard, E., Nottelet, B., Garric, X., & Favier, D. (2016) · Journal of the Mechanical Behavior of Biomedical Materials · doi:10.1016/j.jmbbm.2016.02.015 · Cited by 30 · see citing works
“Different methods were proposed, for example the entropy spring theory (Wang et al., 2008) or the molecular dynamic approach (Ding et al., 2012).”
BackgroundMethodModeling Material-Degradation-Induced Elastic Property of Tissue Engineering Scaffolds
Bawolin, N. K., Li, M. G., Chen, D., & Zhang, W. (2010) · Journal of Biomechanical Engineering · doi:10.1115/1.4002551 · Cited by 32 · see citing works
Shockley, M. F., & Muliana, A. H. (2020) · Polymer Degradation and Stability · doi:10.1016/j.polymdegradstab.2020.109298 · Cited by 29 · see citing works
Girard, É., Chagnon, G., Moreau–Gaudry, A., Létoublon, C., Favier, D., Dejean, S., Trilling, B., & Nottelet, B. (2020) · Journal of Biomedical Materials Research Part B Applied Biomaterials · doi:10.1002/jbm.b.34709 · Cited by 29 · see citing works
Modulating poly(lactic acid) degradation rate for environmentally sustainable applications
Liparoti, S., Iozzino, V., Speranza, V., & Pantani, R. (2024) · Waste Management · doi:10.1016/j.wasman.2024.01.004 · Cited by 28 · see citing works
Breche, Q., Chagnon, G., Machado, G., Nottelet, B., Garric, X., Girard, É., & Favier, D. (2016) · Polymer Degradation and Stability · doi:10.1016/j.polymdegradstab.2016.07.014 · Cited by 28 · see citing works
Amnieh, S. K., Mashayekhi, M., Shahnooshi, E., Tavafoghi, M., & Mosaddegh, P. (2021) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2021.110489 · Cited by 28 · see citing works
Electroactive biocompatible materials for nerve cell stimulation
Yang, M., Liang, Y., Gui, Q., Chen, J., & Liu, Y. (2015) · Materials Research Express · doi:10.1088/2053-1591/2/4/042001 · Cited by 28 · see citing works
Bhujel, R., Maharjan, R., Kim, N. A., & Jeong, S. H. (2021) · Journal of Drug Delivery Science and Technology · doi:10.1016/j.jddst.2021.102608 · Cited by 26 · see citing works
A novel seizure detection algorithm informed by hidden Markov model event states
Baldassano, S. N., Wulsin, D., Ung, H., Blevins, T., Brown, M., Fox, E. B., & Litt, B. (2016) · Journal of Neural Engineering · doi:10.1088/1741-2560/13/3/036011 · Cited by 25 · see citing works
Ayoub, G. Y., Rodriguez, A. K., Mansoor, B., & Colin, X. A. (2020) · International Journal of Solids and Structures · doi:10.1016/j.ijsolstr.2020.08.025 · Cited by 25 · see citing works
Busatto, C. A., Pesoa, J., Helbling, I. M., Luna, J. A., & Estenoz, D. A. (2017) · Journal of Applied Polymer Science · doi:10.1002/app.45464 · Cited by 25 · see citing works
The future of bone regeneration: Artificial intelligence in biomaterials discovery
Fan, J., Xu, J., Wen, X., Sun, L. G., Xiu, Y., Zhang, Z., Liu, T., Zhang, D., Wang, P., & Xing, D. (2024) · Materials Today Communications · doi:10.1016/j.mtcomm.2024.109982 · Cited by 24 · see citing works
Microstructured Biodegradable Fibers for Advanced Control Delivery
Shadman, S., Nguyen-Dang, T., Gupta, T. D., Page, A. G., Richard, I., Leber, A., Ruža, J., Krishnamani, G., & Sorin, F. (2020) · Advanced Functional Materials · doi:10.1002/adfm.201910283 · Cited by 24 · see citing works
Versypt, A. N. F., Arendt, P. D., Pack, D. W., & Braatz, R. D. (2015) · PLoS ONE · doi:10.1371/journal.pone.0135506 · Cited by 24 · see citing works
Assessment of Material By-Product Fate from Bioresorbable Vascular Scaffolds
Shazly, T. M., Kolachalama, V. B., Ferdous, J., Oberhauser, J. P., Hossainy, S., & Edelman, E. R. (2011) · Annals of Biomedical Engineering · doi:10.1007/s10439-011-0445-8 · Cited by 24 · see citing works
Degradation and related changes in supermolecular structure of poly(caprolactone) in vivo conditions
Sajkiewicz, P., Heljak, M. K., Gradys, A., Choińska, E., Rumiński, S., Jaroszewicz, T., Bissenik, I., & Święszkowski, W. (2018) · Polymer Degradation and Stability · doi:10.1016/j.polymdegradstab.2018.09.023 · Cited by 24 · see citing works
Abdelfatah, J., Paz, R., Alemán‐Domínguez, M. E., Monzón, M., Donate, R., & Winter, G. (2021) · Materials · doi:10.3390/ma14092460 · Cited by 23 · see citing works
Hydrolytic stability of polylactide and poly(methyl methacrylate) blends
Rodriguez, E. J., Shahbikian, S., Marcos, B., & Huneault, M. A. (2017) · Journal of Applied Polymer Science · doi:10.1002/app.45991 · Cited by 23 · see citing works
Mansur, H. S., Costa, H. S., Mansur, A. A. P., & Pereira, M. M. (2011) · Materials Science and Engineering C · doi:10.1016/j.msec.2011.11.012 · Cited by 22 · see citing works
Computer aided design of architecture of degradable tissue engineering scaffolds
Heljak, M. K., Kurzydłowski, K. J., & Święszkowski, W. (2017) · Computer Methods in Biomechanics & Biomedical Engineering · doi:10.1080/10255842.2017.1399263 · Cited by 22 · see citing works
Model of aliphatic polyesters hydrolysis comprising water and oligomers diffusion
Borovikov, B. P. I., Sviridov, A. P., Антонов, Е. Н., Dunaev, A. G., Кротова, Л. И., Fatkhudinov, T., & Popov, V. K. (2018) · Polymer Degradation and Stability · doi:10.1016/j.polymdegradstab.2018.11.017 · Cited by 21 · see citing works
Evolutionary design of bone scaffolds with reference to material selection
Heljak, M. K., Święszkowski, W., Lam, C. X. F., Hutmacher, D. W., & Kurzydłowski, K. J. (2012) · International Journal for Numerical Methods in Biomedical Engineering · doi:10.1002/cnm.2487 · Cited by 21 · see citing works
A Mechanistic Model for Acidic Drug Release Using Microspheres Made of PLGA 50:50
Sevim, K., & Pan, J. (2016) · Molecular Pharmaceutics · doi:10.1021/acs.molpharmaceut.6b00313 · Cited by 21 · see citing works
A fully degradable tracheal stent: In vitro and in vivo characterization of material degradation
Ng, A. H. C., Ng, N. S. P., Zhu, G. H., Lim, L. H. Y., & Venkatraman, S. S. (2011) · Journal of Biomedical Materials Research Part B Applied Biomaterials · doi:10.1002/jbm.b.32501 · Cited by 20 · see citing works
Dutra, L. D. S., Costa, T. D. S. B., Lobo, V. T. V., Paiva, T. F., Nele, M., & Pinto, J. C. (2018) · Journal of Polymers and the Environment · doi:10.1007/s10924-018-1329-x · Cited by 20 · see citing works
Busatto, C. A., Berkenwald, E., Mariano, N., Casís, N., Luna, J. A., & Estenoz, D. A. (2015) · Polymer Degradation and Stability · doi:10.1016/j.polymdegradstab.2015.12.018 · Cited by 19 · see citing works
Computational Methods for the Development of Polymeric Biomaterials
Costache, A. D., Ghosh, J., KNIGHT, D. D., & Kohn, J. (2010) · Advanced Engineering Materials · doi:10.1002/adem.200980020 · Cited by 19 · see citing works
Mechanistic Computational Modeling of Implantable, Bioresorbable Drug Release Systems
Giolando, P. A., Hopkins, K., Davis, B., Vike, N. L., Ahmadzadegan, A., Ardekani, A. M., Vlachos, P. P., Rispoli, J. V., Solorio, L., & Kinzer‐Ursem, T. L. (2023) · Advanced Materials · doi:10.1002/adma.202301698 · Cited by 19 · see citing works
Mittapelly, N., Djehizian, A., Telaprolu, K. C., McNally, K., Puttrevu, S. K., Arjmandi‐Tash, O., Polak, S., & Bois, F. Y. (2024) · ACS Applied Bio Materials · doi:10.1021/acsabm.4c01054 · Cited by 18 · see citing works
Electrical stimulation of co-woven nerve conduit for peripheral neurite differentiation
Gopalakrishnan-Prema, V., Mohanan, A., Shivaram, S. B., Madhusudanan, P., Raju, G., Menon, D., & Shankarappa, S. A. (2020) · Biomedical Materials · doi:10.1088/1748-605x/abaf06 · Cited by 18 · see citing works
Shine, C. J., McHugh, P. E., & Ronan, W. (2021) · Journal of Elasticity · doi:10.1007/s10659-021-09835-7 · Cited by 18 · see citing works
Irfan, S. A., Razali, R., KuShaari, K., & Mansor, N. B. (2017) · Polymers · doi:10.3390/polym9030111 · Cited by 18 · see citing works
Chen, F., Ekinci, A., Li, L., Cheng, M., Johnson, A. A., Gleadall, A., & Han, X. (2021) · Acta Biomaterialia · doi:10.1016/j.actbio.2021.09.020 · Cited by 18 · see citing works
Maragkaki, A., Malliaros, N. G., Sampathianakis, I., Lolos, T., Tsompanidis, C., & Manios, T. (2023) · Sustainability · doi:10.3390/su152215963 · Cited by 17 · see citing works
Shirazi, R. N., Aldabbagh, F., Ronan, W., Erxleben, A., Rochev, Y. A., & McHugh, P. E. (2016) · Journal of Materials Science Materials in Medicine · doi:10.1007/s10856-016-5760-z · Cited by 17 · see citing works
Structure and prolonged transport in a biodegradable poly(R-3-hydroxybutyrate)-drug system
Иванцова, Е. Л., Kosenko, R. Y., Иорданский, А. Л., Rogovina, S. Z., Prut, E. V., Filatova, A. G., Gumargalieva, K. Z., Novikova, S., & Berlin, A. A. (2012) · Polymer Science Series A · doi:10.1134/s0965545x12020058 · Cited by 16 · see citing works
Applications of Computational Modelling and Simulation of Porous Medium in Tissue Engineering
German, C., & Madihally, S. V. (2016) · Computation · doi:10.3390/computation4010007 · Cited by 16 · see citing works
Effects of Nanofillers on the Hydrolytic Degradation of Polyesters
Gai, S., Xu, J., Zhang, H., Yin, R., & Zhang, W. (2020) · Tissue Engineering Part B Reviews · doi:10.1089/ten.teb.2019.0260 · Cited by 16 · see citing works
Finite element analysis of degradation of biodegradable medical devices
Han, X., & Pan, J. (2013) · OA Biotechnology · doi:10.13172/2052-0069-2-3-874 · Cited by 16 · see citing works
Koike, T., Muranaka, Y., Okada, Y., Onishi, A., & Maki, T. (2025) · Polymer Degradation and Stability · doi:10.1016/j.polymdegradstab.2025.111272 · Cited by 15 · see citing works
Kivijärvi, T., Goksøyr, Ø., Yassin, M. A., Jain, S., Yamada, S., López, Á. M., Mustafa, K., & Finne‐Wistrand, A. (2022) · Materials Today Bio · doi:10.1016/j.mtbio.2022.100483 · Cited by 15 · see citing works
Synthesis and Evaluation Structural, Thermal and Electrical Properties for PCL/TiO2 Nanocomposites
Rasheed, M. H., Kadhim, Q. S., Mohaimeed, A. A., & Alsaedi, R. J. (2024) · Transactions on Electrical and Electronic Materials · doi:10.1007/s42341-024-00571-y · Cited by 15 · see citing works
Garzón–Alvarado, D. A., Peña, M. A. V., & Narváez-Tovar, C. A. (2011) · Computers in Biology and Medicine · doi:10.1016/j.compbiomed.2011.11.002 · Cited by 15 · see citing works
Modeling of Biodegradable Polyesters With Applications to Coronary Stents
Shine, C. J., Shirazi, R. N., Ronan, W., Sweeney, C. A., Kelly, N., Rochev, Y. A., & McHugh, P. E. (2017) · Journal of Medical Devices · doi:10.1115/1.4035723 · Cited by 15 · see citing works
A model of polymer degradation and erosion for finite element analysis of bioresorbable implants
Niu, W., & Pan, J. (2020) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2020.104022 · Cited by 14 · see citing works
Heljak, M. K., Moczulska-Heljak, M., Choińska, E., Chlanda, A., Kosik‐Kozioł, A., Jaroszewicz, T., Jaroszewicz, J., & Święszkowski, W. (2018) · Micron · doi:10.1016/j.micron.2018.09.004 · Cited by 14 · see citing works
Effect of Laser-Induced Crystallinity Modification on Biodegradation Profile of Poly(L-Lactic Acid)
Hsu, S., Tan, H., & Yao, Y. L. (2013) · Journal of Manufacturing Science and Engineering · doi:10.1115/1.4025394 · Cited by 13 · see citing works
Chumakova, N. A., Голубева, Е. Н., Kuzin, S. V., Ivanova, T. A., Григорьев, И. А., Kostjuk, S. V., & Melnikov, M. Y. (2020) · Polymers · doi:10.3390/polym12123046 · Cited by 12 · see citing works
A kinetic scission model for molecular weight evolution in bioresorbable polymers
Hill, A., & Ronan, W. (2022) · Polymer Engineering and Science · doi:10.1002/pen.26131 · Cited by 12 · see citing works
- Authors
- Wang, Y., Pan, J., Han, X., Sinka, C., & Ding, L.
- Affiliations
- University of Leicester (GB)
- Corresponding author
- Pan, Jingzhe
- Venue
- Biomaterials
- Publisher
- Elsevier BV
- Published
- 2008-08
- Volume
- 29
- Issue
- 23
- Pages
- 3393-3401
- ISSN
- 0142-9612 (ISSN-L)
- OpenAlex
- W2095288499
- Cited by
- 191
- References
- 24
- Citations by year
- 2026: 5 · 2025: 6 · 2024: 13 · 2023: 10 · 2022: 6 · 2021: 14 · 2020: 16 · 2019: 15 · 2018: 8 · 2017: 17 · 2016: 14 · 2015: 10 · 2014: 9 · 2013: 10 · 2012: 10
- FWCI
- 4.02
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Biomaterials (publishedVersion)
- PubMed (publishedVersion)
- Leicester Research Archive (University of Leicester) (submittedVersion)
- Funders
- University of Leicester
- Topics
- Physical Sciences › Materials Science › Biomaterials › biodegradable polymer synthesis and properties
- Physical Sciences › Materials Science › Biomaterials › Magnesium Alloys: Properties and Applications
- Health Sciences › Medicine › Surgery › Orthopaedic implants and arthroplasty
- Keywords
- biodegradable polymers, polymer biodegradation, reaction-diffusion systems, hydrolysis, monomer diffusion, biodegradable implants, finite element solution
- MeSH terms
- Biocompatible Materials, Bone Nails, Bone Plates, Catalysis, Diffusion, Humans, Hydrolysis, Models, Biological, Polymers, Internal Fixators, Absorbable Implants
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