@book{13574, author = {Aslak Tveito and Glenn Lines}, title = {Computing characterizations of drugs for ion channels and receptors using Markov models}, abstract = {Drugs are generally devised to alter the function of cells in a favorable manner. The actions of drugs can in some cases be represented by mathematical models often phrased in terms of differential equations. Our aim in these notes is to study such models and show how the effect of drugs can be optimized. More precisely, drugs are represented in terms of a set of parameters and we show how optimal drugs can be characterized by tuning the parameters. Our approach is to consider models of a healthy cell and a non-healthy cell and a model of a non-healthy cell to which a drug has been applied. The problem we are trying to resolve is how to tweak the parameters of the drug such that the drugged non-healthy cell behaves as similarly to the healthy cell as possible.}, year = {2016}, volume = {LNCSE Vol. 111.}, pages = {261}, publisher = {Springer}, address = {Heidelberg, Germany}, url = {http://tinyurl.com/zhazqv5}, }