Modeling the Effect of Mucin Binding in the Gut on Drug Delivery

  • Jeffrey Saltzman
  • Claus Bendtsen
Special Issue: Mathematics to Support Drug Discovery and Development


An important part the absorption, distribution, metabolism and excretion of an oral therapeutic is the flux rate of drug compound crossing the mucus lining of the gut. To understand this part of the absorption process, we develop a mathematical model of advection, diffusion and binding of drug compounds within the mucus layer of the intestines. Analysis of this model yields simple, measurable criteria for the successful mucin layer traversal of drug compound.


Protein binding ADME Intestinal mucus layer Mathematical model 

Mathematics Subject Classification

62P10 35Q99 65M99 



We are pleased to acknowledge the support of AstraZeneca Discovery Sciences in Cambridge, UK and Shanghai, China, in exploring these relevant transport processes. We thank all the referees for their helpful and useful comments.


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Copyright information

© Society for Mathematical Biology 2018

Authors and Affiliations

  1. 1.Cottonwood Applied MathematicsNorthamptonUSA
  2. 2.IMED Biotech Unit, AstraZenecaCambridgeUK

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