71 citations · 367 across the 18 of their papers we have counts for
18 papers
Bond Graphs Unify Stoichiometric Analysis and Thermodynamics
Peter J. Gawthrop
Whole-cell modelling is constrained by the laws of nature in general and the laws of thermodynamics in particular. This paper shows how one prolific source of information, stoichio…
Energy-based Modelling of the Feedback Control of Biomolecular Systems with Cyclic Flow Modulation
Peter J Gawthrop
Energy-based modelling brings engineering insight to the understanding of biomolecular systems. It is shown how well-established control engineering concepts, such as loop-gain, ar…
Computer-aided modelling of complex physical systems with BondGraphTools
Peter Cudmore, Peter J. Gawthrop, Michael Pan +1
BondGraphTools is a Python library for scripted modelling of complex multi-physics systems. In contrast to existing modelling solutions, BondGraphTools is based upon the well estab…
Physically-Plausible Modelling of Biomolecular Systems: A Simplified, Energy-Based Model of the Mitochondrial Electron Transport Chain
Peter J. Gawthrop, Peter Cudmore, Edmund J. Crampin
Systems biology and whole-cell modelling are demanding increasingly comprehensive mathematical models of cellular biochemistry. These models require the development of simplified m…
Bond Graph Representation of Chemical Reaction Networks
Peter J. Gawthrop, Edmund J. Crampin
The Bond Graph approach and the Chemical Reaction Network approach to modelling biomolecular systems developed independently. This paper brings together the two approaches by provi…
A thermodynamic framework for modelling membrane transporters
Michael Pan, Peter J. Gawthrop, Kenneth Tran +2
Membrane transporters contribute to the regulation of the internal environment of cells by translocating substrates across cell membranes. Like all physical systems, the behaviour…
Biomolecular System Energetics
Peter J. Gawthrop, Edmund J. Crampin
Efficient energy transduction is one driver of evolution; and thus understanding biomolecular energy transduction is crucial to understanding living organisms. As an energy-orienta…
Bond graph modelling of the cardiac action potential: Implications for drift and non-unique steady states
Michael Pan, Peter J. Gawthrop, Kenneth Tran +2
Mathematical models of cardiac action potentials have become increasingly important in the study of heart disease and pharmacology, but concerns linger over their robustness during…
The cardiac Na/K ATPase: An updated, thermodynamically consistent model
Michael Pan, Peter J. Gawthrop, Joseph Cursons +2
The Na/K ATPase is an essential component of cardiac electrophysiology, maintaining physiological Na and K concentrations over successive heart beats. Terkildsen et…
Computing Biomolecular System Steady-states
Peter J. Gawthrop
A new approach to computing the equilibria and steady-states of biomolecular systems modelled by bond graphs is presented. The approach is illustrated using a model of a biomolecul…
Sensitivity Properties of Intermittent Control
Peter J. Gawthrop
The sensitivity properties of intermittent control are analysed and the conditions for a limit cycle derived theoretically and verified by simulation.
Bond Graph Modelling of Chemiosmotic Biomolecular Energy Transduction
Peter Gawthrop
Engineering systems modelling and analysis based on the bond graph approach has been applied to biomolecular systems. In this context, the notion of a Faraday-equivalent chemical p…
Energy-based Analysis of Biomolecular Pathways
Peter J. Gawthrop, Edmund J. Crampin
Decomposition of biomolecular reaction networks into pathways is a powerful approach to the analysis of metabolic and signalling networks. Current approaches based on analysis of t…
Bond Graph Modelling of Chemoelectrical Energy Transduction
Peter J. Gawthrop, Ivo Siekmann, Tatiana Kameneva +3
Energy-based bond graph modelling of biomolecular systems is extended to include chemoelectrical trans- duction thus enabling integrated thermodynamically-compliant modelling of ch…
Modular Bond-graph Modelling and Analysis of Biomolecular Systems
Peter Gawthrop, Edmund Crampin
Bond graphs can be used to build thermodynamically-compliant hierarchical models of biomolecular systems. As bond graphs have been widely used to model, analyse and synthesise engi…
Hierarchical Bond Graph Modelling of Biochemical Networks
Peter J. Gawthrop, Joseph Cursons, Edmund J. Crampin
The bond graph approach to modelling biochemical networks is extended to allow hierarchical construction of complex models from simpler components. This is made possible by represe…
Intermittent Control in Man and Machine
Peter Gawthrop, Henrik Gollee, Ian Loram
Intermittent control has a long history in the physiological literature and there is strong experimental evidence that some human control systems are intermittent. Intermittent con…
Energy-based Analysis of Biochemical Cycles using Bond Graphs
Peter J. Gawthrop, Edmund J. Crampin
Thermodynamic aspects of chemical reactions have a long history in the Physical Chemistry literature. In particular, biochemical cycles - the building-blocks of biochemical systems…