Table 1 Principles of classification of firing pattern elements.

Delayed (D.)

\({Delay} > {DF}\frac{{IS}{{I}}_{1}+{IS}{{I}}_{2}}{2}\)

DF = 2

SiLeNce (SLN)

\(\begin{array}{c}{PFS} > {SF}\frac{{IS}{{I}}_{{n}}+{IS}{{I}}_{{n}-1}}{2}\\ {PFS} > {SF}\ast {IS}{{I}}_{{\max }}\end{array}\)

SF = 2

Adapting Spiking (ASP.)

ISI₁ < ISI₂ < ISI_n; to compare 2 parameter fit (Y = a₁X + b₁) and 3 parameter fit (Y = a₁X + b₁; Y = b₂)

p_2,1 < 0.05

p_3,2 > 0.025

a₁ > 0.003

Rapidly Adapting Spiking (RASP.)

\(\begin{array}{c}{IS}{{I}}_{1} < < {IS}{{I}}_{2} < < {IS}{{I}}_{3}\\ {Y}={{a}}_{1}{X}+{{b}}_{1}\\ {{a}}_{1} > {{S}}_{{RASP}}\end{array}\)

S_RASP = 0.2

Non-Adapting Spiking (NASP)

ISI₁ ≈ ISI₂ … ≈ ISI_n;to compare 1 parameter fit (Y = b₁) and 2 parameter fit (Y = a₁X + b₁)

p_2,1 > 0.05

Interrupted

Stuttering

Transient STUTering (TSTUT.)

\(\begin{array}{c}{ISIi} > {Fpre}\ast {ISIi}-1\\ {IS}{{I}}_{{i}} > {{F}}_{{post}}\ast {IS}{{I}}_{{i}+1}\\ \frac{\mathop{\sum }\limits_{{j}={i}}^{{n}}{IS}{{I}}_{{j}}}{{n}-{j}} > {{F}}_{{pre}}\frac{\mathop{\sum }\limits_{{j}=1}^{{i}-1}{IS}{{I}}_{{j}}}{{j}}\\ \forall {j} < {i}-{1}:\frac{{1}}{{IS}{{I}}_{{j}}} > {{f}}_{{\min }}\end{array}\) _(T1.1)

F_pre = 2.5

F_post = 1.5

f_min = 25 Hz

i = 2,3,4

Persistent STUTering (PSTUT)

\(\frac{{IS}{{I}}_{{i}}^{{\max }}}{{IS}{{I}}_{{i}-1}}+\frac{{IS}{{I}}_{{i}}^{{\max }}}{{IS}{{I}}_{{i}+1}} > {{F}}_{{PSTUT}}\)

F_PSTUT = 5

Slow-Wave Bursting

Transient Slow-Wave Bursting (TSWB.)

Inequalities T1.1, SWA > SWA_min

F_pre = 2.5

F_post = 1.5

f_min = 25 Hz

i = 2,3,4

SWA_min = 5 mV

Persistent Slow-Wave Bursting (PSWB)

\(\frac{{IS}{{I}}_{{i}}^{{\max }}}{{IS}{{I}}_{i-1}}+\frac{{IS}{{I}}_{{i}}^{{\max }}}{{IS}{{I}}_{{i}+1}} > {{F}}_{{PSWB}}\)

SWA > SWA_min

F_PSWB = 5

SWA_min = 5 mV