Generalized transistor equation for Collector Current including the reverse saturtion current?

Published: 4/10/2017
Generalized transistor equation for Collector Current including the reverse saturtion current?
Source: ELECTRONICS.STACKEXCHANGE.COM

44I am referring to Millman's Integrated electronics and there I came across and equation $$ \begin{equation} (I_c) = -\alpha(I_E)+I_{Co}(1-\exp^{V_C/V_T}) -->eqn(5.6) \end{equation} $$ where $$ I_{Co}(1-\exp^{V_C/V_T}) $$ represents shows reverse saturation current . Can any one explain me how this equation came . Also is not reverse saturation current independent of applied voltage then

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