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Appendix A
Appendix
A. 1 Derivation of second order model parameters
The following describes how to calculate the analytical solution for the RLRC circuit model
for HCN currents in the photoreceptor [57]
, ‰-L⅛-jRizλ = 0
is - г a - υm∣Rm - = 0 is = 0
vm - L¾ - jR1zλ = 0
iA = vm∕Rm + C⅛
г г dvm 1 (Rvm
‰ (j dvτl
Rm dt
0=*,'"^l⅛‰"⅛
∩ Γ zɔ / ɪ7 , D /'^'f∖ dVm. z 1 ∙¾ ∖
0=£С^+(л;+л'С)л-+(1+^к
Now putting the equation in the form d + 2a⅛^- +ωθx(i) = 0
d2vm , 1 Ri, dυm . 1 Ri ʌ
dt? kC‰ L j dt yLC LCRmj m