The phrase "after substantially" is correct and usable in written English.
It can be used to indicate that something occurs following a significant or considerable change or event.
Example: "After substantially improving the software, the team was able to enhance user satisfaction."
Alternatives: "following significant" or "after considerable".
He was asked to leave HP earlier this year, she explained, after "substantially missing his numbers".
The commission settled with the bank later on, after substantially increasing the fine.
The Senate Committee on Education held two more hearings, and approved the bill after substantially amending it (in part over Senator Keith's objection).
A coalition of African-Americans and Hispanics could bring Democrats back from political oblivion, but only after substantially more growth in their populations takes place.
Kraft Foods won a four-month battle for Cadbury after substantially raising its offer for the venerable British confectioner, to £11.9 billion ($19.4 billion).
On Monday, just three days after substantially expanding its antiforeclosure programs, the Obama administration announced another $600 million to finance innovative measures to help defaulting families in five hard-hit states: North Carolina, Oregon, Ohio, Rhode Island and South Carolina.
In addition, we observe that the IFN-γ MFI for CD4+ polyfunctional cells increases substantially after rAd5 boosting (Figure S1B).
Superimposing the time courses of effects shows that the response to Calindol occurs after a substantially larger lag (Figure 5B) than that observed after activation by Ca2+.
(Speeding, after all, substantially reduces fuel efficiency due to the sheering force of wind).
Despite the use of thromboprophylaxis, the risk of AMI (~0.4 %), VTE (~1.1 %), and major bleeding (~0.5 %) after TKA substantially increase within 90 days of surgery [3, 5, 21].
In the UK, revenues rose 2.8% for the first six months of the year after improving "substantially" in the second quarter, when turnover was nearly 7%.
