System and method for cognitive rhythm generation

Abstract

A method of modeling time-dependent electrical activity of a biological system, the method comprises transforming an input through at least one dynamic mode to yield at least one modal output; processing the at least one modal output to yield at least one amplitude variable and at least one phase variable; and mapping the at least one amplitude variable and the at least one phase variable to an observable output.

1 .- 11 . (canceled) 
     
     
         12 . A method of stimulating a biological system comprising:
 transforming components of an input with respective neuronal modes to yield corresponding modal outputs;   processing the modal outputs to yield amplitude and phrase variables;   mapping the amplitude and phrase variables to an output; and   stimulating the biological system with the output.   
     
     
         13 . The method of  claim 12  wherein said processing comprises:
 subjecting said modal outputs to at least one mixing function; and 
 subjecting the output of the at least one mixing function to limit cycle dynamics thereby to generate said amplitude and phrase variables. 
 
     
     
         14 . The method of  claim 13  wherein said modal outputs are subjected to a plurality of mixing functions. 
     
     
         15 . The method of  claim 14  wherein the outputs of the mixing functions are subjected to a clock and a labile clock. 
     
     
         16 . The method of  claim 14 , wherein the neuronal modes of said plurality are selected from the group consisting of zero-order neuronal modes, first-order neuronal modes, second-order neuronal modes, third-order neuronal modes, and combinations thereof. 
     
     
         17 . The method of  claim 14 , wherein the mapping is performed by a static nonlinearity. 
     
     
         18 . The method of  claim 14  wherein the biological system comprises a neuron. 
     
     
         19 . The method of  claim 14  wherein the biological system is a brain region. 
     
     
         20 . A cognitive rhythm generator comprising:
 at least one dynamic mode for transforming an input to yield at least one modal output;   at least one ring device processing the at least one modal output to yield at least one amplitude variable and at least one phase variable; and   a mapper for mapping the at least one amplitude variable and the at least one phase variable to an observable output.   
     
     
         21 . The cognitive rhythm generator of  claim 20  comprising a plurality of dynamic modes for transforming the input to yield a plurality of modal outputs. 
     
     
         22 . The cognitive rhythm generator of  claim 21  further comprising a plurality of mixers interposed between said dynamic modes and said at least one ring device. 
     
     
         23 . The cognitive rhythm generator of  claim 22  further comprising at least one mixer interposed between said dynamic modes and said mapper. 
     
     
         24 . The cognitive rhythm generator of  claim 23  further comprising an interface interposed between said mapper and a biological system. 
     
     
         25 . The cognitive rhythm generator of  claim 24  wherein said interface is an electromechanical interface. 
     
     
         26 . The cognitive rhythm generator of  claim 25 , wherein the dynamic modes are selected from the group consisting of zero-order neuronal modes, first-order neuronal modes, second-order neuronal modes, third-order neuronal modes, and combinations thereof. 
     
     
         27 . The cognitive rhythm generator of  claim 26 , wherein each of the dynamic modes transforms a respective component of the input thereby to yield a corresponding modal output. 
     
     
         28 . The cognitive rhythm generator of  claim 26 , wherein the mapper uses a static nonlinearity to map the at least one amplitude variable and the at least one phase variable to the observable output. 
     
     
         29 . The cognitive rhythm generator of  claim 25 , wherein the interface is a micro-electrode array. 
     
     
         30 . The cognitive rhythm generator of  claim 24  wherein the biological system comprises a neuron. 
     
     
         31 . The cognitive rhythm generator of  claim 24  wherein the biological system is a brain region. 
     
     
         32 . A network comprising at least two coupled cognitive rhythm generators according to  claim 20 . 
     
     
         33 . A method of controlling or treating a seizure-like event, the method comprising:
 transforming an electrical input from neural tissue of a subject through at least one neuronal mode to yield at least one modal output;   processing the at least one modal output to yield at least one amplitude variable and at least one phase variable;   mapping the at least one amplitude variable and the at least one phase variable to an observable output; and   stimulating the neural tissue based upon the observable output, thereby controlling or treating the seizure-like event.