RT Journal Article SR Electronic T1 Interval Constraint Satisfaction and Optimization for Biological Homeostasis and Multistationarity JF bioRxiv FD Cold Spring Harbor Laboratory SP 2020.05.14.095315 DO 10.1101/2020.05.14.095315 A1 Aurélien Desoeuvres A1 Gilles Trombettoni A1 Ovidiu Radulescu YR 2020 UL http://biorxiv.org/content/early/2020/05/15/2020.05.14.095315.abstract AB Homeostasis occurs in a biological or chemical system when some output variable remains approximately constant as one or several input parameters change over some intervals. We propose in this paper a new computational method based on interval techniques to find species in biochemical systems that verify homeostasis. A somehow dual and equally important property is multistationarity, which means that the system has multiple steady states and possible outputs, at constant parameters. We also propose an interval method for testing multistationarity. We have tested homeostasis, absolute concentration robustness and multistationarity on a large collection of biochemical models from the Biomodels and DOCSS databases. The codes used in this paper are publicly available at: https://github.com/Glawal/IbexHomeo.Competing Interest StatementThe authors have declared no competing interest.