Yea, you can mount them on a circuit board just like everything else.
The Phillips LEDs you link are meant to be mounted on a circuit board that is well cooled (heatsink and/or fan) as these are high-power, specifically ~750mW for red.
There are similar LEDs called Luxeon Rebel which look strikingly similar to those phillips ones which you can buy breakout boards that don't have any of them mounted already. I believe they are sold by sparkfun.com
Since your application sounds like it is targeted at a specific area, the solution needs to be compact. You'll need to design a circuit board and get it fabricated. You'll need to be able to draw all the heat away from the board since you'll be keeping it on for 15 minutes. This means a wicked heatsink and a beastly fan which mean this won't be the most silent device.
As poster states,
A very bright RED LED lamp (~50W) with a lamp tripod or something
would be perfect for me.
Given the fact that one can easily buy off-the-shelf, 50 to 150w, LED flood lamp, with heat sink and drive electronics, but they typically comes with white LED.
One may consider simply replacing the central coin sized LED module and make corresponding small change in drive V and A.
Either do it yourself or if, in (small) batch quantity, manufacturer can do it for you.
For example, I am using this 10W LED, which is 9 LED die, 3 series in one set and 3 set in parallel. It is 350mA, 10V. The constant current driver board is adjustable up to max. 5A.
The RED LED module shown (which I do not have on hands, but, same principle as the 10W I have) is 10 LED by 10 LED, each die is one 1W LED, module is about 32V and 3.5A.
The example spec. is white LED (which is actually blue then changed to white) and voltage is slightly different from red but is same range 3.x to 4.x V
Commercial 100W driver with CE, 85 to 250V AC in, out DC 20 to 38V, 3A
Best Answer
@Shamtam have already commented that:
(1) the light from a typical while LED doesn't match the spectrum of the sunlight
(2) white LEDs are blue LEDs with additional phosphor
This is to expand on @Shamtam's comment.
Spectrum of a white LED showing blue light directly emitted by the GaN-based LED (peak at about 465 nm) and the more broadband emitted by the phosphor.
(source: Wikipedia)
Diagram of the spectrum a LED lamp (blue), a CFL (green) and an Incandescent (purple) superimposed the solar spectrum (yellow). Note that the energy used by each lamp is at least the area underneath its curve.
(source)