A Priori Parameter Identifiability in Complex Reaction Networks

Identifiability of Chemical Reaction Networks

We consider the dynamics of chemical reaction networks under the assumption of mass-action kinetics. We show that there exist reaction networks R for which the reaction rate constants are not uniquely identifiable, even if we are given complete information on the dynamics of concentrations for all chemical species of R. Also, we show that there exist reaction networks R1 6= R2 such that their d...

Parameter Identifiability and Estimation in Gene and Protein Interaction Networks

Parameter Identifiability of Discrete Bayesian Networks with Hidden Variables

Identifiability of parameters is an essential property for a statistical model to be useful in most settings. However, establishing parameter identifiability for Bayesian networks with hidden variables remains challenging. In the context of finite state spaces, we give algebraic arguments establishing identifiability of some special models on small directed acyclic graphs (DAGs). We also establ...

Easy parameter identifiability analysis with COPASI

BACKGROUND AND SCOPE Differential equation systems modeling biochemical reaction networks can only give quantitative predictions, when they are in accordance with experimental data. However, even if a model can well recapitulate given data, it is often the case that some of its kinetic parameters can be arbitrarily chosen without significantly affecting the simulation results. This indicates a ...

A Priori Estimates in Several Complex Variables

Classically there are two points of view in the study of global existence problems in the theory of functions of a complex variable. One is to piece together local solutions (such as power series), always staying within the category of holomorphic functions. This method seems to have been initiated by Weierstrass; in the theory of several complex variables it has been implemented by the study o...