Microfluidics is an emerging technology enabling the development of Lab-on-a-chip (LOC) systems for clinical diagnostics, drug discovery and screening, food safety and environmental analysis. LOC systems integrate and scale down one or several laboratory functions on a single chip of a few mm2 to cm2 in size, and account for many advantages on biochemical analyses, such as low sample and reagent consumption, low cost, reduced analysis time, portability and point-of-need compatibility. Currently, available nucleic acid diagnostic tests take advantage of Polymerase Chain Reaction (PCR) that allows exponential amplification of portions of nucleic acid sequences that can be used as indicators for the identification of various diseases. Here, we present a comparison between static chamber and continuous flow miniaturized PCR devices, in terms of energy consumption for devices fabricated on the same material stack, with identical sample volume and channel dimensions. The comparison is implemented by a computational study coupling heat transfer in both solid and fluid, mass conservation of species, and joule heating. Based on the conclusions of this study, we develop low-cost and fast DNA amplification devices for both PCR and isothermal amplification, and we implement them in the detection of mutations related to breast cancer. The devices are fabricated by mass production amenable technologies on printed circuit board (PCB) substrates, where copper facilitates the incorporation of on-chip microheaters, defining the thermal zones necessary for PCR or isothermal amplification methods.