Auditory nerve response model (Zhang et al 2001)

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A phenomenological model was developed to describe responses of high-spontaneous-rate auditory-nerve (AN) fibers, including several nonlinear response properties. The implementation of this model represents a relatively simple phenomenological description of a single mechanism that underlies several important nonlinear response properties of AN fibers. The model provides a tool for studying the roles of these nonlinearities in the encoding of simple and complex sounds in the responses of populations of AN fibers.
1 . Zhang X, Heinz MG, Bruce IC, Carney LH (2001) A phenomenological model for the responses of auditory-nerve fibers: I. Nonlinear tuning with compression and suppression. J Acoust Soc Am 109:648-70 [PubMed]
Model Information (Click on a link to find other models with that property)
Model Type:
Brain Region(s)/Organism:
Cell Type(s): Cochlea hair outer GLU cell; Auditory nerve;
Gap Junctions:
Simulation Environment: C or C++ program;
Model Concept(s): Temporal Pattern Generation;
Implementer(s): Zhang, Xuedong ;
Search NeuronDB for information about:  Cochlea hair outer GLU cell;
complex.cpp includes all of the COMPLEX math functions needed for model programs

#include <stdlib.h>
#include <math.h>
#include "complex.hpp"

  double d;
// this returns a complex number equal to exp(i*theta)
COMPLEX compexp(double theta)
  COMPLEX dummy;
  dummy.x = cos(theta);
  dummy.y = sin(theta);
  return dummy;
// Multiply a complex number by a scalar
COMPLEX compmult(double scalar, COMPLEX compnum)
 COMPLEX answer;
 answer.x = scalar * compnum.x;
 answer.y = scalar * compnum.y;
 return answer;
// Find the product of 2 complex numbers
COMPLEX compprod(COMPLEX compnum1, COMPLEX compnum2)
 COMPLEX answer;
 answer.x = (compnum1.x * compnum2.x) - (compnum1.y * compnum2.y);
 answer.y = (compnum1.x * compnum2.y) + (compnum1.y * compnum2.x);
 return answer;
// add 2 complex numbers
COMPLEX comp2sum(COMPLEX summand1, COMPLEX summand2)
 COMPLEX answer;
 answer.x = summand1.x + summand2.x;
 answer.y = summand1.y + summand2.y;
 return answer;
// add three complex numbers
COMPLEX comp3sum(COMPLEX summand1, COMPLEX summand2, COMPLEX summand3)
 COMPLEX answer;
 answer.x = summand1.x + summand2.x + summand3.x;
 answer.y = summand1.y + summand2.y + summand3.y;
 return answer;

// subtraction: complexA - complexB
COMPLEX compsubtract(COMPLEX complexA, COMPLEX complexB)
 COMPLEX answer;
 answer.x = complexA.x - complexB.x;
 answer.y = complexA.y - complexB.y;
 return answer;
//Get the real part of the complex
double REAL(COMPLEX compnum)
{ return(compnum.x); };

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