Systems and methods for determining volume of activation for spinal cord and peripheral nerve stimulation
First Claim
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1. A computer system comprising:
- a processor that is configured to execute;
a finite element model (FEM) module to determine a FEM that models an implanted electrode and a spinal cord in which the electrode is implanted;
a Fourier FEM solver module to calculate a potential distribution in the spinal cord using information obtained by the execution of the FEM module and a capacitive component of at least one of the electrode and the spinal cord, wherein, with the execution of the Fourier FEM solver module, the processor is configured to;
separate a stimulus waveform into frequency components;
obtain a solution of a Poisson equation at at least one frequency component with a stiffness matrix (σ
+iω
), wherein the stiffness matrix is representative of the capacitive component of the at least one of the electrode and the spinal cord; and
use the solution to reassemble the stimulus waveform; and
a volume of activation (VOA) module to provide a predicted VOA using the potential distribution and a neuron model.
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Abstract
This document discloses, among other things, systems and methods for determining volume of activation for spinal cord stimulation (“SCS”) using a finite element model (FEM) circuit to determine a FEM of an implanted electrode and a spinal cord in which the electrode is implanted, a Fourier FEM solver circuit to calculate a potential distribution in the spinal cord using information from the FEM circuit and a capacitive component of at least one of the implanted electrode and the spinal cord, and a volume of activation (VOA) circuit to predict a VOA using the potential distribution and a neuron model.
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Citations
22 Claims
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1. A computer system comprising:
a processor that is configured to execute; a finite element model (FEM) module to determine a FEM that models an implanted electrode and a spinal cord in which the electrode is implanted; a Fourier FEM solver module to calculate a potential distribution in the spinal cord using information obtained by the execution of the FEM module and a capacitive component of at least one of the electrode and the spinal cord, wherein, with the execution of the Fourier FEM solver module, the processor is configured to; separate a stimulus waveform into frequency components; obtain a solution of a Poisson equation at at least one frequency component with a stiffness matrix (σ
+iω
), wherein the stiffness matrix is representative of the capacitive component of the at least one of the electrode and the spinal cord; anduse the solution to reassemble the stimulus waveform; and a volume of activation (VOA) module to provide a predicted VOA using the potential distribution and a neuron model. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10)
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11. A non-transitory computer-readable storage medium, including instructions that, when performed by a computer, cause the computer to:
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determine a finite element model (FEM) of an implanted electrode and a spinal cord in which the electrode is implanted; calculate a potential distribution in the spinal cord using a Fourier FEM solver and a capacitive component of at least one of the electrode and the spinal cord, wherein, the calculating includes; separating a stimulus waveform into frequency components; obtaining a solution of a Poisson equation at at least one frequency component with a stiffness matrix (σ
+iω
), wherein the stiffness matrix is representative of the capacitive component of the at least one of the electrode and the spinal cord; andusing the solution to reassemble the stimulus waveform; and predict a volume of activation (VOA) using the potential distribution and a neuron model.
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12. A computer system comprising:
a processor that is configured to; determine a finite element model (FEM) of an implanted electrode and a spinal cord in which the electrode is implanted; calculate a potential distribution in the spinal cord using a Fourier FEM solver and a capacitive component of at least one of the electrode and the spinal cord, wherein, the calculating includes; separating a stimulus waveform into frequency components; obtaining a solution of a Poisson equation at at least one frequency component with a stiffness matrix (σ
+iω
), wherein the stiffness matrix is representative of the capacitive component of the at least one of the electrode and the spinal cord; andusing the solution to reassemble the stimulus waveform; and predict a volume of activation (VOA) using the potential distribution and a neuron model.
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13. A computer-assisted method comprising:
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determining, by a computer processor, a finite element model (FEM) of an implanted electrode and a spinal cord in which the electrode is implanted; calculating, by the processor, a potential distribution in the spinal cord using a Fourier FEM solver and a capacitive component of at least one of the electrode and the spinal cord, wherein, the calculating includes; separating a stimulus waveform into frequency components; obtaining a solution of a Poisson equation at at least one frequency component with a stiffness matrix (σ
+iω
), wherein the stiffness matrix is representative of the capacitive component of the at least one of the electrode and the spinal cord; andusing the solution to reassemble the stimulus waveform; and predicting, by the processor, a volume of activation (VOA) using the potential distribution and a neuron model. - View Dependent Claims (14, 15, 16, 17, 18, 19, 20, 21, 22)
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Specification