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Description
  • We introduce a mathematical model of signal transmission in cellular layers. The mathematical model consists of reaction-transport equations for extracellular ligands, cellular receptors, ligand-receptor complexes and a ligand releasing protease. We consider diffusion and nonstationary convective transport of protein ligands in the extracellular space. We will show that the oscillatory flow with the zero time-averaged flow rate accelerates the signal transmission in a large range of frequencies. The obtained nonmonotoneous frequency dependencies of the signal propagation velocity will be explained by means of asymptotic solutions. The obtained findings can be useful in bone or vascular tissue engineering
  • We introduce a mathematical model of signal transmission in cellular layers. The mathematical model consists of reaction-transport equations for extracellular ligands, cellular receptors, ligand-receptor complexes and a ligand releasing protease. We consider diffusion and nonstationary convective transport of protein ligands in the extracellular space. We will show that the oscillatory flow with the zero time-averaged flow rate accelerates the signal transmission in a large range of frequencies. The obtained nonmonotoneous frequency dependencies of the signal propagation velocity will be explained by means of asymptotic solutions. The obtained findings can be useful in bone or vascular tissue engineering (en)
Title
  • Oscillatory convection accelerates signal transmission in cellular systems
  • Oscillatory convection accelerates signal transmission in cellular systems (en)
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  • Oscillatory convection accelerates signal transmission in cellular systems
  • Oscillatory convection accelerates signal transmission in cellular systems (en)
skos:notation
  • RIV/60461373:22340/13:43895785!RIV14-MSM-22340___
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  • P(ME10036), S
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  • 94688
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  • RIV/60461373:22340/13:43895785
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  • frequency dependence; signal transmission; oscillatory flow; mathematical model (en)
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  • [DE200040812B]
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  • Tatranské Matliare
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  • Bratislava
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  • Proceedings of the 40th International Conference of Slovak Society of Chemical Engineering
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  • Nebyla, Marek
  • Přibyl, Michal
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number of pages
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  • Slovak Society of Chemical Engineering
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  • 978-80-89475-09-4
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  • 22340
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