;;
;; Reference:
;;             Sergio M. Solinas, Lia Forti, Elisabetta Cesana, 
;;             Jonathan Mapelli, Erik De Schutter and Egidio D`Angelo (2008)
;;             Computational reconstruction of pacemaking and intrinsic 
;;             electroresponsiveness in cerebellar golgi cells
;;             Frontiers in Cellular Neuroscience 2:2
;; Author:Sergio Solinas, Lia Forti, Egidio DAngelo
;; Data from: Santoro et al. J Neurosci. 2000
;;

(nemo-model Golgi_HCN1

  (
   (input v celsius)
   
   (component (type ionic-current) (name HCN1)

	      (const Ehalf = -72.49)
	      (const c = 0.11305)
	      
	      (const rA = 0.002096)
	      (const rB = 0.97596)
	      
	      (defun r (potential)
		((rA * potential) + rB))
	      
	      (defun tau (potential t1 t2 t3)
		(exp (((t1 * potential) - t2) * t3)))
	      
	      (defun o_inf (potential Ehalf c)
		(1 / (1 + exp ((potential - Ehalf) * c))))
              

	      (component (type gate)
                         

			 ;; rate constants
	
                         (const tCs = 0.01451)
                         (const tDs = -4.056)
                         (const tEs = 2.302585092)

                         (o_slow_inf = ((1 - r (v)) * o_inf (v Ehalf c)))
			
                         (tau_s =  (tau (v tCs tDs tEs)) )

                         (d (o_slow) = ((o_slow_inf - o_slow) / tau_s) 
                            (initial o_slow_inf))
                         
                         (output o_slow)

			 )
	      
	      (component (type gate)
                         

			 ;; rate constants
	
                         (const tCf = 0.01371)
                         (const tDf = -3.368)
                         (const tEf = 2.302585092)

                         (o_fast_inf = (r (v) * o_inf (v Ehalf c)))
			
                         (tau_f =  (tau (v tCf tDf tEf)) )

                         (d (o_fast) = ((o_fast_inf - o_fast) / tau_f) 
                            (initial o_fast_inf))
                         
                         (output o_fast)

			 )
	      
	      (component (type pore)
			 (const  gbar  = 5e-5)
			 (output gbar))
	      
	      (component (type permeating-ion) (name non-specific)
			 (const e = -20)
			 (output e ))
	      
	      ) ;; end HCN1 current

              
	      (component (type voltage-clamp) (name HCN1)
           
			 (const vchold   = -71)
			 (const vcbase   = -69)
			 (const vcinc    = 10)
			 (const vcsteps  = 8)
			 (const vchdur   = 30)
			 (const vcbdur   = 100)
           
			 (output vchold vcbase vcinc vcsteps vchdur vcbdur)
			 )

))