"should manifest" is correct and usable in written English.
In this context, "should manifest" means "should become apparent" or "should be evident". For example: "Given the severity of the issue, the results of the investigation should manifest quickly."
We reasoned that if IgA aPL contribute to APS manifestations, then thromboembolic events should manifest in patients with isolated IgA aPL.
We reasoned that if IgA aPL contribute to clinical manifestations of APS, then an association with thromboembolic events should manifest in patients whose only aPL is IgA.
To address this issue, we reasoned that if IgA aPL contribute to the clinical manifestations of the antiphospholipid syndrome, then an association with thromboembolic events should manifest in patients whose only aPL is of IgA isotype.
The effects on the ruling coalition should manifest themselves soon.
Indeed, the network decreed that characters who smoke should manifest "a hacking cough".
Many presidents stated that board members should manifest by their queries, if any, that they approve of the management.
The Higgs should manifest itself both as a particle and as a sort of thick molasses of pure energy permeating space.
Acquadro thought the pain of all acoustic neuroma patients should manifest itself similarly, and most of those he had seen did, in fact, "respond to simpler, more holistic therapies".
"However, the drivers have decided that, if similar problems should manifest themselves during the German GP, we shall immediately withdraw from the event, as this avoidable problem with the tyres endangers again the lives of drivers, marshals and fans".
Since the morpheme-like nature of phonaesthemic onsets is grounded in their type frequency (Bergen, 2004), a development toward either pole should manifest itself in a change of this frequency.
We tested here a hypothesis that roots of copper-tolerant plants should manifest higher activities of sucrose-cleaving enzymes than non-tolerant plants for maintaining root growth under Cu stress.
