Applications of Computational Modelling and Simulation of Porous Medium in Tissue Engineering

In tissue engineering, porous biodegradable scaffolds are used as templates for regenerating required tissues. With the advances in computational tools, many modeling approaches have been considered. For example, fluid flow through porous medium can be modeled using the Brinkman equation where permeability of the porous medium has to be defined. In this review, we summarize various models recently reported for defining permeability and non-invasive pressure drop monitoring as a tool to validate dynamic changes in permeability. We also summarize some models used for scaffold degradation and integrating mass transport in the simulation.

[1]  Patrick J Prendergast,et al.  The effect of pore size on permeability and cell attachment in collagen scaffolds for tissue engineering. , 2007, Technology and health care : official journal of the European Society for Engineering and Medicine.

[2]  T. Vaughan,et al.  Multiscale fluid–structure interaction modelling to determine the mechanical stimulation of bone cells in a tissue engineered scaffold , 2015, Biomechanics and modeling in mechanobiology.

[3]  Cleo Choong,et al.  Three-dimensional scaffolds for tissue engineering applications: role of porosity and pore size. , 2013, Tissue engineering. Part B, Reviews.

[4]  Jingzhe Pan,et al.  A phenomenological model for the degradation of biodegradable polymers. , 2008, Biomaterials.

[5]  J. Podichetty,et al.  Application of computational fluid dynamics in tissue engineering. , 2012, Journal of bioscience and bioengineering.

[6]  Umberto Morbiducci,et al.  A Survey of Methods for the Evaluation of Tissue Engineering Scaffold Permeability , 2013, Annals of Biomedical Engineering.

[7]  B. Obradovic,et al.  Bioreactor cultivation conditions modulate the composition and mechanical properties of tissue‐engineered cartilage , 1999, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[8]  Shiwei Zhou,et al.  Mathematical modeling of degradation for bulk-erosive polymers: applications in tissue engineering scaffolds and drug delivery systems. , 2011, Acta biomaterialia.

[9]  Reyhaneh Neghabat Shirazi,et al.  Modelling the degradation and elastic properties of poly(lactic-co-glycolic acid) films and regular open-cell tissue engineering scaffolds. , 2016, Journal of the mechanical behavior of biomedical materials.

[10]  M. Swartz,et al.  Interstitial flow and its effects in soft tissues. , 2007, Annual review of biomedical engineering.

[11]  Liju Yang,et al.  Three-dimensional cell culture systems and their applications in drug discovery and cell-based biosensors. , 2014, Assay and drug development technologies.

[12]  Victor H Barocas,et al.  Image-based multiscale modeling predicts tissue-level and network-level fiber reorganization in stretched cell-compacted collagen gels , 2009, Proceedings of the National Academy of Sciences.

[13]  J. Podichetty,et al.  Modeling Pressure Drop Using Generalized Scaffold Characteristics in an Axial-Flow Bioreactor for Soft Tissue Regeneration , 2014, Annals of Biomedical Engineering.

[14]  R. Grigg,et al.  A Criterion for Non-Darcy Flow in Porous Media , 2006 .

[15]  Boris Rubinsky,et al.  Mass Transfer Model for Drug Delivery in Tissue Cells with Reversible Electroporation. , 2008, International journal of heat and mass transfer.

[16]  W. Yeong,et al.  Engineering functionally graded tissue engineering scaffolds. , 2008, Journal of the mechanical behavior of biomedical materials.

[17]  Ibrahim T. Ozbolat,et al.  Engineered tissue scaffolds with variational porous architecture. , 2011, Journal of biomechanical engineering.

[18]  Salah Naili,et al.  A method for the determination of mechanical parameters in a porous elastically deformable medium : applications to biological soft tissues , 1998 .

[19]  Scott J. Hollister,et al.  Computational design of tissue engineering scaffolds , 2007 .

[20]  Sundararajan V Madihally,et al.  Modeling of porous scaffold deformation induced by medium perfusion. , 2014, Journal of biomedical materials research. Part B, Applied biomaterials.

[21]  Bahattin Koc,et al.  Stochastic Modeling of Tissue Engineering Scaffolds with Varying Porosity Levels , 2007 .

[22]  Celina G. Kleer,et al.  Three dimensional cultures: a tool to study normal acinar architecture vs. malignant transformation of breast cells. , 2014, Journal of visualized experiments : JoVE.

[23]  D. Wendt,et al.  The role of bioreactors in tissue engineering. , 2004, Trends in biotechnology.

[24]  Maddaly Ravi,et al.  3D Cell Culture Systems: Advantages and Applications , 2015, Journal of cellular physiology.

[25]  Sundararajan V Madihally,et al.  Dynamics of diffusivity and pressure drop in flow‐through and parallel‐flow bioreactors during tissue regeneration , 2012, Biotechnology progress.

[26]  J. Mansour,et al.  Using regression models to determine the poroelastic properties of cartilage. , 2013, Journal of biomechanics.

[27]  Efrem Curcio,et al.  Oxygen mass transfer in a human tissue-engineered trachea. , 2010, Biomaterials.

[28]  John W Haycock,et al.  3D cell culture: a review of current approaches and techniques. , 2011, Methods in molecular biology.

[29]  Sundararajan V Madihally,et al.  Cell colonization in degradable 3D porous matrices , 2008, Cell adhesion & migration.

[30]  J. A. Sanz-Herrera,et al.  A mathematical approach to bone tissue engineering , 2009, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[31]  E. Place,et al.  Complexity in biomaterials for tissue engineering. , 2009, Nature materials.

[32]  D. Grainger,et al.  A critical evaluation of in vitro cell culture models for high-throughput drug screening and toxicity. , 2012, Pharmacology & therapeutics.

[33]  Andrew J. Ewald,et al.  Three-dimensional organotypic culture: experimental models of mammalian biology and disease , 2014, Nature Reviews Molecular Cell Biology.

[34]  Franck J Vernerey,et al.  Mathematical model of the role of degradation on matrix development in hydrogel scaffold , 2014, Biomechanics and modeling in mechanobiology.