Functional simulation method
First Claim
1. A method for generating a computer-based digital representation of a physical system as an electrical circuit, comprising:
- providing a three-dimensional lattice of circuit elements defined on a plurality of geometrical points, said three-dimensional lattice of circuit elements representative of a portion of a physical system to be simulated;
associating with said portion of the three-dimensional lattice a transport function representative of the physical system; and
providing a quantitative description of the transport function, so as to generate the computer-based digital representation of the electrical circuit simulation of the physical system.
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Abstract
Systems and methods for modeling multidimensional physical systems, including biological and chemical systems. A system to be treated as a model is represented by a geometrical structure. The geometry is superposed onto a lattice template. Functional elements are obtained to express relationships between portions of the system to be modeled. The functional elements are assigned to lattice regions. The initial conditions, boundary conditions and constraints on the model are specified. The lattice is solved using a circuit simulation package. The quantities determined for the circuit are used to compute system quantities. Optionally the computer information is displayed. Optionally, the system is modeled as multiple lattices, which can be solved either serially (iteratively) or in parallel, to obtain a consistent solution.
56 Citations
39 Claims
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1. A method for generating a computer-based digital representation of a physical system as an electrical circuit, comprising:
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providing a three-dimensional lattice of circuit elements defined on a plurality of geometrical points, said three-dimensional lattice of circuit elements representative of a portion of a physical system to be simulated;
associating with said portion of the three-dimensional lattice a transport function representative of the physical system; and
providing a quantitative description of the transport function, so as to generate the computer-based digital representation of the electrical circuit simulation of the physical system. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39)
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14. A computer-based digital system for generating a representation of a physical system as an electrical circuit, comprising:
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a lattice module that provides a three-dimensional lattice of circuit elements defined on a plurality of geometrical points, the three-dimensional lattice of circuit elements representative of a portion of a physical system to be simulated;
a function module that associates a transport function representative of the physical system with a portion of the three-dimensional lattice; and
a description module that provides a quantitative description of the transport function in the portion, so as to generate the computer-based digital representation of the simulated electrical circuit as a physical system.
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27. A computer-based digital system for generating a representation of a physical system as an electrical circuit, comprising:
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a means for providing a three-dimensional lattice of circuit elements defined on a plurality of geometrical points, the three-dimensional lattice of circuit elements representative of a portion of a physical system to be simulated;
a means for associating a transport function representative of the physical system with a portion of the three-dimensional lattice; and
a means for providing a quantitative description of the transport function in the portion, so as to generate the computer-based digital representation of the simulated electrical circuit as a physical system.
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Specification