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A Hybrid Discrete–Continuum Modelling Approach to Explore the Impact of T-Cell Infiltration on Anti-tumour Immune Response
We present a spatial hybrid discrete–continuum modelling framework for the interaction dynamics between tumour cells and cytotoxic T cells, which...
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Nonlinear wave dispersion in monoatomic chains with lumped and distributed masses: discrete and continuum models
The main objective of this paper is to investigate the influence of inertia of nonlinear springs on the dispersion behavior of discrete monoatomic...
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Derivation of continuum models from discrete models of mechanical forces in cell populations
In certain discrete models of populations of biological cells, the mechanical forces between the cells are center based or vertex based on the...
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Hybrid models of chemotaxis with application to leukocyte migration
Many chemical and biological systems involve reacting species with vastly different numbers of molecules/agents. Hybrid simulations model such...
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On a hybrid continuum-kinetic model for complex fluids
In the present work, we first introduce a general framework for modelling complex multiscale fluids and then focus on the derivation and analysis of...
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Partial Learning Using Partially Explicit Discretization for Heterogeneous Transport Problem Simulation
AbstractThis article presents a novel approach for learning and simulating multicontinuum/multiscale problems with limited observations. The proposed...
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A Genuinely Hybrid, Multiscale 3D Cancer Invasion and Metastasis Modelling Framework
We introduce in this paper substantial enhancements to a previously proposed hybrid multiscale cancer invasion modelling framework to better reflect...
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A Novel Method for the Numerical Solution of a Hybrid Inverse Problem of Electrical Conductivity Imaging
A novel method for the numerical solution of a hybrid (coupled physics) inverse problem is proposed. Based on a regularized weighted mean curvature...
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Macro-Hybrid Dual Optimal Control of Transport Flow Through Elastoviscoplastic Porous Media
Macro-hybrid multidomain optimal control of dual evolution mixed variational transport flow processes through elastoviscoplastic porous media, with...
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Discrete and Continuum Models for the Evolutionary and Spatial Dynamics of Cancer: A Very Short Introduction Through Two Case Studies
We give a very short introduction to discrete and continuum models for the evolutionary and spatial dynamics of cancer through two case studies: a...
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A Hybrid Moment Method for Multi-scale Kinetic Equations Based on Maximum Entropy Principle
We propose a hybrid method for the multi-scale kinetic equations in the framework of the hyperbolic moment method (Cai and Li in SIAM J Sci Comput...
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Hybrid Model of Bacterial Biofilm Growth
Bacterial biofilms play a critical role in environmental processes, water treatment, human health, and food processing. They exhibit highly complex...
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A New Family of Thermodynamically Compatible Discontinuous Galerkin Methods for Continuum Mechanics and Turbulent Shallow Water Flows
In this work we propose a new family of high order accurate semi-discrete discontinuous Galerkin (DG) finite element schemes for the...
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Two-Phase Darcy-Forchheimer Flow of Dusty Hybrid Nanofluid with Viscous Dissipation Over a Cylinder
The current article concerns with the flow of an incompressible dusty hybrid nanofluid over a stretching cylinder by considering Darcy–Forchheimer...
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Comparative analysis of continuum angiogenesis models
Although discrete approaches are increasingly employed to model biological phenomena, it remains unclear how complex, population-level behaviours in...
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Modelling Keloids Dynamics: A Brief Review and New Mathematical Perspectives
Keloids are fibroproliferative disorders described by excessive growth of fibrotic tissue, which also invades adjacent areas (beyond the original...
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Scenario Modeling of the Collapse of Red King Crab Stocks under the Expert Control of the Annual Catch
AbstractFor a number of actual situations, when the impact management strategy is determined based on the decisions of experts and stakeholders, it...
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Agent-Based and Continuum Models for Spatial Dynamics of Infection by Oncolytic Viruses
The use of oncolytic viruses as cancer treatment has received considerable attention in recent years, however the spatial dynamics of this viral...
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An Efficient hp-Adaptive Strategy for a Level-Set Ghost-Fluid Method
We present an hp-adaptive discretization for a sharp interface model with a level-set ghost-fluid method to simulate compressible multiphase flows....
