It has long been known that cells can be induced to migrate by the application of small d.c. electric fields (EFs), a phenomenon referred to as galvanotaxis. We recently reported some significant effects of electric signals of physiological strength in guiding cell migration and wound healing. We present here protocols to apply an EF to cells or tissues cultured in an electrotactic chamber. The chamber can be built to allow controlled medium flow to prevent the potential development of chemical gradients generated by the EFs. It can accommodate cells on planar culture or tissues in 3D gels. Mounted on an inverted microscope, this setup allows close and well-controlled observation of cellular responses to electric signals. As similar EFs are widely present during development and wound healing, this experimental system can be used to simulate and study cellular and molecular responses to electric signals in these events.

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A more flexible neural network (NN) method using the fundamental invariants (FIs) as the input vector is proposed in the construction of potential energy surfaces for molecular systems involving identical atoms. Mathematically, FIs finitely generate the permutation invariant polynomial (PIP) ring. In combination with NN, fundamental invariant neural network (FI-NN) can approximate any function to arbitrary accuracy. Because FI-NN minimizes the size of input permutation invariant polynomials, it can efficiently reduce the evaluation time of potential energy, in particular for polyatomic systems. In this work, we provide the FIs for all possible molecular systems up to five atoms. Potential energy surfaces for OH3 and CH4 were constructed with FI-NN, with the accuracy confirmed by full-dimensional quantum dynamic scattering and bound state calculations.