coding lsqnonlin with multiple variables

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Hello, I would like to fit the curve of following formula.
castro-macosko.jpg
I want to optimize parameters (A, Tb, tau, n, alpha_g, c1, c2) with lsqnonlin. The independent variables are T and alpha. (The dependent variable is eta)
I have experimental data of T, alpha about T, and eta about T.
Please help if somebody have experience about this.
Thanks in Advance.

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