CellML focusses on the algebraic and differential mathematical equations of the model, whereas currently, FieldML focusses both on describing fields over multiple discrete indices, through reference to sparsely or densely packed 2 massive bulk numerical data, and on describing multivariate fields with some or all continuous variables, by defining finite element interpolations using the discrete data or by other interpolation methods or more general methods.Ĭomputer-readable model representation formats for Physiome models such as those used by the euHeart project need to support diverse modelling techniques.
#PARAVIEW LABEL FORMAT INTEGER SOFTWARE#
Although the format can express a wider range of models, most CellML software shares the focus on time-varying lumped parameter models.
The goals of CellML have much in common, but CellML focusses on time-varying lumped parameter models. Provide open source technology to achieve the above goals. As part of the euHeart project, extensive design work has been done on the FieldML format and its API, and features for supporting FieldML in the PMR software. The euHeart project aims to develop models, modelling standards and the related technologies that serve the goal of bridging the gap between cardiac modelling for research and the clinical application of individualised cardiac modelling. Furthermore, PMR provides a collaboration workspace.
The Physiome Model Repository (PMR) software provides a web repository for making models, based on these standards and other formats, easily accessible. Implicit models include expressions that usually require the application of computational numerical solvers in order to evaluate, for example, systems of ordinary differential equations (ODEs) and partial differential equations (PDEs). Explicit models are represented by plain numerical data and closed-form algebraic expressions, as well as certain functions commonly available in standard software math libraries, such as trigonometric functions, exponential, logarithm and so on. A distinction is made between implicit and explicit models. Geometric models vastly reduce the number of parameters when compared to the number of parameters required to record all the exact measurements of the real-world object. Functional models usually make predictions about dynamic systems. We define a mathematical model to be a formulation that represents the state of a real-world system mathematically in such a way that the model can be used to make predictions about the real-world system by computing the state of the system based on the input parameters to the model. CellML and FieldML are open standards for declaratively representing mathematical models to facilitate model interchange and are primarily focussed on the needs of Physiome projects such as euHeart, 1 a cardiac modelling project with a strong focus on clinical applications.
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