Method and system for providing multi-channel and/or neurostimulation

1. A neurostimulation system comprising:

at least one stimulation module for providing stimulation blocks, the stimulation blocks including:

at least a first stimulation block, the first stimulation block comprising a first electrode configuration, a first amplitude, and a first pulse train, and

at least a second stimulation block, the second stimulation block comprising a second electrode configuration, a second amplitude, and a second pulse train; and

at least one stimulation interference estimation module including a controller configured with instructions in non-transitory memory that when executed cause the controller to:

construct a graphical representation of interference relationships between the stimulation blocks, the graphical representation including:

nodes representing the stimulation blocks, a first node representing the first stimulation block and a second node representing the second stimulation block; and

edges connecting the nodes, a first edge connecting the first node to the second node indicating interference between the first stimulation block and the second stimulation block;

identify a first spatial section including the first node and the second node using the graphical representation; and

in response to the identification of the first spatial section, reduce interference between stimulation blocks corresponding to the nodes in the first spatial section by reconfiguring at least one of the first stimulation block or the second stimulation block.

2. The system of claim 1 , wherein constructing the graphical representation comprises:

analyzing a spatial relationship between the first stimulation block and the second stimulation block.

3. The system of claim 2 , wherein constructing the graphical representation comprises:

creating the first edge in response to the analysis of the spatial relationship and an identification of a temporal overlap of pulse trains between the first stimulation block and the second stimulation block.

4. The system of claim 2 , wherein constructing the graphical representation comprises:

creating the first edge in response to the analysis of the spatial relationship and an identification of a temporal overlap of pulse trains between the first stimulation block and the second stimulation block that exceeds a predetermined degree of freedom.

5. The system of claim 2 , wherein analyzing the spatial relationship comprises:

calculating a spatial interference model of the first stimulation block and the second stimulation block.

6. The system of claim 5 , wherein the spatial interference model is either a generic model or a patient-specific model.

7. The system of claim 1 , wherein reconfiguring the at least one of the first stimulation block or the second stimulation block includes reconfiguring:

at least one of the first or second pulse train,

at least one of the first or the second electrode configuration, or

at least one of the first amplitude or the second amplitude.

8. The system of claim 7 , wherein:

reconfiguring the at least one of the first stimulation block or the second stimulation block includes reconfiguring the at least one of the first amplitude or the second amplitude; and

reconfiguring the at least one of the first amplitude or the second amplitude includes, for each one of at least one of the first stimulation block or the second stimulation block, determining:

a difference between a maximum value of an activating function and a threshold to determine an amount of injected current needed to reach the threshold and trigger an action potential at a targeted fiber, and

wherein the activating function is based on a transfer function between a current stimulation of the one of the at least one of the first stimulation block or the second stimulation block and a second derivative of a potential field along the targeted fiber.

9. The system of claim 1 , wherein identifying the first spatial section comprises identifying a cycle of the first node formed by a path of edges and nodes through which the first node is reachable.

10. A method for providing neurostimulation comprising:

obtaining a description of stimulation blocks, the stimulation blocks including:

a first stimulation block, the first stimulation block comprising a first electrode configuration, a first amplitude, and a first pulse train, and

a second stimulation block, the second stimulation block comprising a second electrode configuration, a second amplitude, and a second pulse train;

constructing a graphical representation of interference relationships between the stimulation blocks, the graphical representation including:

nodes representing the stimulation blocks, a first node representing the first stimulation block and a second node representing the second stimulation block; and

edges connecting the nodes, a first edge connecting the first node to the second node indicating interference between the first stimulation block and the second stimulation block;

identifying a first spatial section including the first node and the second node using the graphical representation; and

in response to the identification of the first spatial section, reducing interference between stimulation blocks corresponding to the nodes in the first spatial section by reconfiguring at least one of the first stimulation block or the second stimulation block.

11. The method of claim 10 , wherein constructing the graphical representation comprises:

analyzing a spatial relationship between the first stimulation block and the second stimulation block.

12. The method of claim 11 , wherein constructing the graphical representation comprises:

creating the first edge in response to the analysis of the spatial relationship and an identification of a temporal overlap of pulse trains between the first stimulation block and the second stimulation block.

13. The method of claim 11 , wherein constructing the graphical representation comprises:

creating the first edge in response to the analysis of the spatial relationship and an identification of a temporal overlap of pulse trains between the first stimulation block and the second stimulation block that exceeds a predetermined degree of freedom.

14. The method of claim 11 , wherein analyzing the spatial relationship comprises:

calculating a spatial interference model of the first stimulation block and the second stimulation block.

15. The method of claim 14 , wherein the spatial interference model is either a generic model or a patient-specific model.

16. The method of claim 14 , wherein the spatial interference model is based on an R-matrix model, and the R-matrix model is based on a transfer function between a current injected at each electrode associated with the first and the second stimulation block and a corresponding voltage induced at a surface of each electrode.

17. The method of claim 16 , wherein the R-matrix model estimates interference based on a voltage variation induced on an electrode greater than a threshold variation.

18. The method of claim 14 , wherein the spatial interference model is based on distance rules, and the distance rules are based on a first separation of the first and the second stimulation block with respect to a first reference axis and a second separation of the first and the second stimulation block with respect to a second reference axis, the first separation less than a first distance threshold and the second separation less than a second distance threshold.

19. The method of claim 14 , wherein the spatial interference model is based on a number of action potentials triggered at targeted neuron fibers.

20. The method of claim 14 , wherein the spatial interference model is based on an activating function for each of the first and the second stimulation block, the activating function based on a transfer function between each current stimulation and a second derivative of a potential field along a targeted fiber.

21. The method of claim 10 , wherein reconfiguring the at least one of the first stimulation block or the second stimulation block includes reconfiguring:

at least one of the first or second pulse train,

at least one of the first or the second electrode configuration, or

at least one of the first amplitude and the second amplitude.

22. The method of claim 10 , wherein identifying the first spatial section comprises identifying a cycle of the first node formed by a path of edges and nodes through which the first node is reachable.