Background. The digital twin is a virtual model of a physical object or process (physical twin) which fully reflects its characteristics in dynamics over a period of time. The concept of digital twin involves the representation, processing, manipulation of multimodal data which characterizes the physical twin. The digital twin data processing requires new models of computation in order to simplify synchronization and aggregation of multimodal data for both behaviour and appearance models of the digital twin. Objective. The purpose of the research presented in this paper is to develop models of computation for digital twins data processing as well as to fulfil practical implementation of multimodal data synchronization and aggregation for e-health applications. Methods. The basic computation model is based on the concept of a multi-image which is considered as a data mathematical model. The notion of a multi-image is defined in the algebraic system of aggregates. In the basic computation model the multi-image is a key abstraction, which is defined at two levels: at the level of input data formation and at the level of formation of multimodal data structure to be processed. The advanced computation model for digital twins includes three stages of synchronization and aggregation, a stage of data processing of both the behavioural model and the appearance model according to the specific task of studying the real-world object (physical twin), and a stage of reproducing the digital twin. Results. The proposed computation schemes make it easy to synchronize and aggregate heterogeneous data entering into a computer system from multiple sources. The results obtained in the experimental part on this research allow concluding that the computational complexity of multimodal data processing is reduced in comparison with the traditional approach. Conclusions. Two computation models are proposed for digital twin data processing: a basic computation model and a computation advanced model for digital twins. The key component of these models is multimodal data synchronization and aggregation procedure. A mathematical apparatus of the algebraic system of aggregates is used in the presented research to simplify synchronization and aggregation of multimodal data defined in time.
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