I know how worrying all this is. Yes, there is the potential for side effects in long term use of some of the pain medications. We cannot advise here, as only your vet knows your dog's history and prognosis. But perhaps our experiences might be of value as you are evaluating your options.
This exactly - I fully believe that quality of life trumps everything else, most especially when a dog has reached the senior years.
My very, very wise vet has a saying: "We treat the dog, not just the disease." And primary to 'treating the whole dog' is consideration of quality of life.
It's important to understand potential side effects, potential long term effects, of all medicines one gives one's dog, and to do what one can to mitigate them - but one must also balance those against the dog's day to day QoL.
Let's face it - if the dog is in pain to the point where he cannot enjoy life, whatever is happening with his liver is no longer relevant.
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While on pain meds, it may be advisable to monitor organ function. (Usually a blood panel will paint a clear enough picture to see trends.)
For instance, when each of my dogs was on put on a NSAID we monitored his liver values. First we did a base panel before starting, then one month later for a control, then at three months, then six - if we saw a problem come up, we went back to more frequent monitoring. When we saw worrying liver values, we took what steps we could to support his liver.
Dosage, how often the drug is given - these might be variables to play with. Some of my oldies got pain meds daily, some every other day or at a longer interval, some only on an 'as needed' basis. We tried to find the best regime for the individual, prioritizing pain control but keeping reduction of side effects in mind as well.
There may be supportive therapies to help mitigate long term effects. Some vets like to use SAMe, some milk thistle, to support liver function when using a NSAID - this is a discussion for your vet.
Some pain therapies might be better tolerated than others in individuals, or show better results than others - the key is to find what works best for your dog.
Among the NSAIDS, Psychocollie had good results with Rimadyl, but it caused Melon stomach upset. Melon tolerated Metacam well, though. Haifisch didn't improve on Metacam, but he did better on Onsior. Onsior didn't seem to help the Belltie, but Previcox does. A bit of trial and error is usually needed to see what is best for your dog.
Or, there may be delivery methods for particular problems that are less prone to long term issues.
For instance, the Belltie has chronic bronchitis and needs to take a steroid daily to try to reduce the inflammation, in order to keep his airways open. But long term systemic steriod use can cause organ damage. So rather than a systemic, he gets the steroid as an inhalant (Axotide) - the drug goes directly to his bronchia and lungs, targeting the diseased organ. There is little residue that makes it into his other organs.
But even if I had to resort to systemic steroid treatment I would do so, as his primary condition is respiratory. If his airways become inflammed to where he cannot breathe, it's all over anyway. So in his case - lungs/bronchia trump liver and kidneys.
When a dog is facing multiple conditions it is a good idea to have a frank discussion with your vet as to your goals and options if treatment of one condition might affect a secondary condition.
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Some dogs do well with accupuncture as a supportive therapy, either in place of or in addition to other measures.
There is a new-ish arthritis treatment, Anarthron (Cartrophen in other countries), a course of injections, that is not a NSAID - you might also discuss this with your vet as a possible option. Here's a thread on the subject:
Cartrophen for Dogs...
I had the Belltie on Anarthron for some time, as this was the safest option given that he also was on a steroid. But his arthritis has progressed to the point where we needed to do something more, hence the Previcox.
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(Alert readers will note that I am using a daily steroid and an occasional NSAID with the Belltie. Usually concurrent use of steroids and NSAIDs is contraindicated - but again getting back to the QoL issue, we treat the dog, not just the internal organs. We minimize the risk of organ damage by using an inhalant rather than a systemic, and we only use the Previcox on an 'as needed' basis. But when he needs a pain killer he gets one - I will not allow an elderly dog to suffer. My vet and I have discussed this at length, and I understand the ramifications.)
These are the kinds of discussions one needs to have with one's vet. There is no one size fits all - a pain management program needs to be tailored to your dog's individual needs.
Key to keeping our elderly dogs happy is a good partnership with your vet. Is your vet open to discussion, to exploration?
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As said, I know how worrying this is. Paws crossed, thumbs pressed that you can find a good pain management program, and that you and your doglet have many more good times ahead.