HAL

HAL enables hybrid modeling that integrates agent-based components with partial-differential equation (PDE) elements to simulate spatially structured biological systems for applications such as mathematical oncology.

Key Features:

• Hybrid integration: Combines agent-based models with PDE elements to represent interactions between discrete agents and continuous fields.
• Agent-based modeling: Provides both on-lattice and off-lattice agent containers for representing discrete entities and their interactions in space.
• PDE components: Implements finite-difference diffusion fields for modeling continuous processes such as chemical diffusion and heat transfer.
• Modular standardized interface: Uses standardized, independent components that can be interfaced to compose hybrid models.
• Computation and data utilities: Includes utilities for efficient computation and data collection to support large-scale simulations and complex datasets.
• Cross-dimensional modeling: Supports construction of 1D, 2D, and 3D hybrid models.

Scientific Applications:

• Mathematical oncology: Simulation of spatial dynamics of tumor growth and treatment response by modeling heterogeneous environments and cell–microenvironment interactions.
• Spatial systems analysis: Modeling of complex spatially structured biological systems that require coupling of discrete agents and continuous fields.

Methodology:

Integration of on-lattice and off-lattice agent containers with finite-difference diffusion fields, assembly via standardized modular components, and use of computation and data utilities to build 1D/2D/3D hybrid models.