Med Biol Eng Comput - Backflow length predictions during flow-controlled infusions using a nonlinear biphasic finite element model.

Tópicos

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Resumo

A previously proposed finite element model that considers geometric and material nonlinearities and the free boundary problems that occur at the catheter tip and in the annular zone around the lateral surface of the catheter was revised and was used to fit a power-law formula to predict backflow length during infusions into brain tissue. Compared to a closed-form solution based on linear elasticity, the power-law formula for compliant materials predicted a substantial lower influence of the shear modulus and catheter radius on the backflow length, whereas the corresponding influence for stiffer materials was more consistent with the closed-form solution. The finite element model predicted decreases of the backflow length for reduction of the shear modulus for highly compliant materials (shear modulus less than 500 Pa) due to the increased area of infusion and the high fluid fraction near the infusion cavity that greatly increased the surface area available for fluid transfer and reduced the hydraulic resistance toward the tissue. These results show the importance of taking into account the material and geometrical nonlinearities that arise near the infusion surface as well as the change of hydraulic conductivity with strain for a proper characterization of backflow length during flow-controlled infusions into the brain.

Resumo Limpo

previous propos finit element model consid geometr materi nonlinear free boundari problem occur cathet tip annular zone around later surfac cathet revis use fit powerlaw formula predict backflow length infus brain tissu compar closedform solut base linear elast powerlaw formula compliant materi predict substanti lower influenc shear modulus cathet radius backflow length wherea correspond influenc stiffer materi consist closedform solut finit element model predict decreas backflow length reduct shear modulus high compliant materi shear modulus less pa due increas area infus high fluid fraction near infus caviti great increas surfac area avail fluid transfer reduc hydraul resist toward tissu result show import take account materi geometr nonlinear aris near infus surfac well chang hydraul conduct strain proper character backflow length flowcontrol infus brain

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