how to perform multivariate nonlinear regression in matlab

Hello,

I'd like to perform regression on multivariate data and use the model for prediction. my data consists of around 2000 instance. Each instance has 4 regressors and each regressor have 3 values. Responses for these regressors have the size 2000*4. Is there a way to train a nonlinear model with a cell array consists of 2000 matrices of size (4*3) and have responses of size 2000*4 and use it for prediction. I've found a multivariate linear regression function in MATLAB which is (mvregress) but I couldn't find a nonlinear one.

Your help is very appreciated.

Thanks