Let's analyze each option:
(1) The gaps cannot be directly modeled:
Gaps in sequence alignments are challenging to model directly. This statement is true.
(2) Loop modeling is required for closing the gaps:
Loop modeling helps fill gaps in protein structure and is often used for closing gaps. This statement is true.
(3) In the sequence alignment for modeling, there are no regions producing gaps in sequence alignment:
This is untrue. Sequence alignments often have gaps due to insertions and deletions. Hence, this is the untrue statement and the correct answer.
(4) In the sequence alignment for modeling, there are often regions caused by insertions and deletions producing gaps in sequence alignment:
This is true. Gaps are often introduced due to insertions and deletions in sequence alignments.
Conclusion:
The correct answer is Option 3: In the sequence alignment for modeling, there are no regions producing gaps in sequence alignment as it is untrue.