Generating specific cell lineages from induced pluripotent stem cells and embryonic stem cells is the holy grail of regenerative medicine. Guiding iPSCs toward a target cell line has garnered much ...

SIAM Journal on Numerical Analysis, Vol. 3, No. 1 (Mar., 1966), pp. 143-156 (14 pages) In the numerical solution of operator equations Fx = 0, discretization of the equation and then application of ...

Having charted the occurrence of a common chemical change that takes place while stem cells decide their fates and progress from precursor to progeny, scientists have produced the first-ever ...

A strategy is presented for producing code to evaluate first partial derivatives of a function f by computer. Advantage is taken of the capabilities that a compiler must have simply to bring about the ...

Automatic differentiation (AD) is a practical field of computational mathematics that is of growing interest across many industries, including finance. The use of reverse-mode AD is particularly ...

For AI application companies to succeed in their global expansion, they should establish a closed loop of "computing infrastructure, market penetration, and monetization". Among these, enhancing ...

In this paper, we apply stochastic (backward) automatic differentiation to calculate stochastic forward sensitivities. A forward sensitivity is a sensitivity at a future point in time, conditional on ...