Viewed in renal physiology as a refined filtration device, the glomerulus filters large volumes of blood plasma while keeping proteins within blood circulation. Effects of macromolecule size and macromolecule hydrodynamic interaction with the nanostructure of the cellular layers of the glomerular capillary wall on the glomerular size selectivity are investigated through a mathematical simulation based on an ultrastructural model. The epithelial slit, a planar arrangement of fibers connecting the epithelial podocytes, is represented as a row of parallel cylinders with nonuniform spacing between adjacent fibers. The mean and standard deviation of gap half-width between its fibers are based on values recently reported from electron microscopy. The glomerular basement membrane (GBM) is represented as a fibrous medium containing fibers of two different sizes: the size of type IV collagens and that of glycosaminoglycans (GAGs). The endothelial cell layer is modeled as a layer full of fenestrae that are much larger than solute size and filled with GAGs. The calculated total sieving coefficient agrees well with the sieving coefficients of ficolls obtained from in vivo urinalysis in humans, whereas the computed glomerular hydraulic permeability also falls within the range estimated from human glomerular filtration rate (GFR). Our result indicates that the endothelial cell layer and GBM significantly contribute to solute and fluid restriction of the glomerular barrier, whereas, based on the structure of the epithelial slit obtained from electron microscopy, the contribution of the epithelial slit could be smaller than previously believed.
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December 2017
Research-Article
Transport of Spherical Particles Through Fibrous Media and a Row of Parallel Cylinders: Applications to Glomerular Filtration
Numpong Punyaratabandhu,
Numpong Punyaratabandhu
Department of Physics,
Faculty of Science,
Chulalongkorn University,
6th Floor, Mahamakut Building, Payathai Road,
Pathumwan, Bangkok 10330, Thailand
e-mail: a.pong.bandhu@gmail.com
Faculty of Science,
Chulalongkorn University,
6th Floor, Mahamakut Building, Payathai Road,
Pathumwan, Bangkok 10330, Thailand
e-mail: a.pong.bandhu@gmail.com
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Pimkhwan Kongoup,
Pimkhwan Kongoup
Department of Physics,
Faculty of Science,
Chulalongkorn University,
6th Floor, Mahamakut Building, Payathai Road,
Pathumwan, Bangkok 10330, Thailand
e-mail: khwankongoup@gmail.com
Faculty of Science,
Chulalongkorn University,
6th Floor, Mahamakut Building, Payathai Road,
Pathumwan, Bangkok 10330, Thailand
e-mail: khwankongoup@gmail.com
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Panadda Dechadilok,
Panadda Dechadilok
Department of Physics,
Faculty of Science,
Chulalongkorn University,
6th Floor, Mahamakut Building, Payathai Road,
Pathumwan, Bangkok 10330, Thailand
e-mail: panadda.D@chula.ac.th
Faculty of Science,
Chulalongkorn University,
6th Floor, Mahamakut Building, Payathai Road,
Pathumwan, Bangkok 10330, Thailand
e-mail: panadda.D@chula.ac.th
Search for other works by this author on:
Pisut Katavetin,
Pisut Katavetin
Division of Nephrology,
Department of Medicine,
Faculty of Medicine,
Chulalongkorn University, Rama IV Road,
Pathumwan, Bangkok 10330, Thailand
e-mail: pkatavetin@yahoo.com
Department of Medicine,
Faculty of Medicine,
Chulalongkorn University, Rama IV Road,
Pathumwan, Bangkok 10330, Thailand
e-mail: pkatavetin@yahoo.com
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Wannapong Triampo
Wannapong Triampo
Biophysics Group,
Department of Physics,
Faculty of Science,
Mahidol University,
Rama 6,
Bangkok 10400, Thailand
e-mail: wtriampo@gmail.com
Department of Physics,
Faculty of Science,
Mahidol University,
Rama 6,
Bangkok 10400, Thailand
e-mail: wtriampo@gmail.com
Search for other works by this author on:
Numpong Punyaratabandhu
Department of Physics,
Faculty of Science,
Chulalongkorn University,
6th Floor, Mahamakut Building, Payathai Road,
Pathumwan, Bangkok 10330, Thailand
e-mail: a.pong.bandhu@gmail.com
Faculty of Science,
Chulalongkorn University,
6th Floor, Mahamakut Building, Payathai Road,
Pathumwan, Bangkok 10330, Thailand
e-mail: a.pong.bandhu@gmail.com
Pimkhwan Kongoup
Department of Physics,
Faculty of Science,
Chulalongkorn University,
6th Floor, Mahamakut Building, Payathai Road,
Pathumwan, Bangkok 10330, Thailand
e-mail: khwankongoup@gmail.com
Faculty of Science,
Chulalongkorn University,
6th Floor, Mahamakut Building, Payathai Road,
Pathumwan, Bangkok 10330, Thailand
e-mail: khwankongoup@gmail.com
Panadda Dechadilok
Department of Physics,
Faculty of Science,
Chulalongkorn University,
6th Floor, Mahamakut Building, Payathai Road,
Pathumwan, Bangkok 10330, Thailand
e-mail: panadda.D@chula.ac.th
Faculty of Science,
Chulalongkorn University,
6th Floor, Mahamakut Building, Payathai Road,
Pathumwan, Bangkok 10330, Thailand
e-mail: panadda.D@chula.ac.th
Pisut Katavetin
Division of Nephrology,
Department of Medicine,
Faculty of Medicine,
Chulalongkorn University, Rama IV Road,
Pathumwan, Bangkok 10330, Thailand
e-mail: pkatavetin@yahoo.com
Department of Medicine,
Faculty of Medicine,
Chulalongkorn University, Rama IV Road,
Pathumwan, Bangkok 10330, Thailand
e-mail: pkatavetin@yahoo.com
Wannapong Triampo
Biophysics Group,
Department of Physics,
Faculty of Science,
Mahidol University,
Rama 6,
Bangkok 10400, Thailand
e-mail: wtriampo@gmail.com
Department of Physics,
Faculty of Science,
Mahidol University,
Rama 6,
Bangkok 10400, Thailand
e-mail: wtriampo@gmail.com
1Corresponding author.
Manuscript received February 13, 2017; final manuscript received July 4, 2017; published online September 28, 2017. Assoc. Editor: Jeffrey Ruberti.
J Biomech Eng. Dec 2017, 139(12): 121005 (13 pages)
Published Online: September 28, 2017
Article history
Received:
February 13, 2017
Revised:
July 4, 2017
Citation
Punyaratabandhu, N., Kongoup, P., Dechadilok, P., Katavetin, P., and Triampo, W. (September 28, 2017). "Transport of Spherical Particles Through Fibrous Media and a Row of Parallel Cylinders: Applications to Glomerular Filtration." ASME. J Biomech Eng. December 2017; 139(12): 121005. https://doi.org/10.1115/1.4037550
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