Abstracting the differential semantics of rule-based models: exact and automated model reduction

V Danos, J Feret, W Fontana… - 2010 25th Annual …, 2010 - ieeexplore.ieee.org
Rule-based approaches (as in our own Kappa, or the BNG language, or many other
propositions allowing the consideration of" reaction classes'') offer new and more powerful …

Forward and backward bisimulations for chemical reaction networks

L Cardelli, M Tribastone, M Tschaikowski… - arXiv preprint arXiv …, 2015 - arxiv.org
We present two quantitative behavioral equivalences over species of a chemical reaction
network (CRN) with semantics based on ordinary differential equations. Forward CRN …

Rule-based modelling, symmetries, refinements

V Danos, J Feret, W Fontana, R Harmer… - Formal Methods in …, 2008 - Springer
Rule-based modelling is particularly effective for handling the highly combinatorial aspects
of cellular signalling. The dynamics is described in terms of interactions between partial …

Graph theory for rule-based modeling of biochemical networks

ML Blinov, J Yang, JR Faeder, WS Hlavacek - … on Computational Systems …, 2006 - Springer
We introduce a graph-theoretic formalism suitable for modeling biochemical networks
marked by combinatorial complexity, such as signal-transduction systems, in which protein …

[HTML][HTML] PyBioNetFit and the biological property specification language

ED Mitra, R Suderman, J Colvin, A Ionkov, A Hu… - IScience, 2019 - cell.com
In systems biology modeling, important steps include model parameterization, uncertainty
quantification, and evaluation of agreement with experimental observations. To help …

Catalyst: fast biochemical modeling with Julia

TE Loman, Y Ma, V Ilin, S Gowda, N Korsbo, N Yewale… - bioRxiv, 2022 - biorxiv.org
We introduce Catalyst. jl, a flexible and feature-filled Julia library for modeling and high
performance simulation of chemical reaction networks (CRNs). Catalyst acts as both a …

Towards zoomable multidimensional maps of the cell

Z Hu, J Mellor, J Wu, M Kanehisa, JM Stuart… - Nature …, 2007 - nature.com
The detailed structure of molecular networks, including their dependence on conditions and
time, are now routinely assayed by various experimental techniques. Visualization is a vital …

Optimal experimental design in an epidermal growth factor receptor signalling and down-regulation model

FP Casey, D Baird, Q Feng, RN Gutenkunst… - IET systems biology, 2007 - IET
We apply the methods of optimal experimental design to a differential equation model for
epidermal growth factor receptor signalling, trafficking and down-regulation. The model …

Systems medicine: the future of medical genomics, healthcare, and wellness

M Saqi, J Pellet, I Roznovat, A Mazein, S Ballereau… - Systems Medicine, 2016 - Springer
Recent advances in genomics have led to the rapid and relatively inexpensive collection of
patient molecular data including multiple types of omics data. The integration of these data …

In silico modeling: methods and applications to trauma and sepsis

Y Vodovotz, TR Billiar - Critical care medicine, 2013 - journals.lww.com
Objectives: To familiarize clinicians with advances in computational disease modeling
applied to trauma and sepsis. Data Sources: PubMed search and review of relevant medical …