Hi there, I had an extensive iliofemoral DVT at 10 weeks, I had catheter thrombolysis treatment which cleared the clot, had a stent and IVC filter placed and have been on fragmin ever since. Turned out I have a structural anomaly in my vascular system, namely May Thurners syndrome, and a long haul flight coinciding with falling pregnant and the joys of morning sickness, being overweight and dehydrated put me in a perfect storm situation for a DVT.
I have noticed that I am more breathless since but as the scans to find PE are so intrusive (its bad enough the thromolysis was x ray led) it was decided that investigation would be more harmful than good as I was on treatment anyway. I have read somewhere that PE can cause tissue damage in the lungs but I can't be sure this isn't speculative. I would stand to reason that it does take time to recover though and don't forget that pregnancy has a massive demand on the body anyway, so that's added time on top.
I do think that some of it is down to the way that I breath and my decreased level of fitness, because I've had no problems swimming just lugging my carcass about on dry land which is harder when you get bigger! I'm looking forward to increasing my low impact activity (walking more) once I've had the baby and I'm sure that shedding the extra weight will work wonders too.
The best news I can give you is that for the most part my pregnancy has been trouble free up until this last week where it has now been established that my baby hasn't gained as much weight as expected over the last 3-4 weeks and is relatively small for term. Apparently its one of those things and I don't know if its related to my treatment, however considering my last child was 9lb 7oz I'm a little relieved.
I'm due to be induced on friday when I'm 39+4 partly due to baby size and also to manage my bloodthinners. I think in the main part it is important to listen to how your body is feeling and I definitely recommend exercising in water. I can't wait to get swimming properly again. Good luck with the rest of your pregnancy