Is your identity associated with a healthcare professional? Do you want the world to see yourself as an expert in healthcare in the next 5 years? Or are you a marketing professional?
If you're a healthcare professional or want to identify yourself as one; then by all means write it at your own blog and share it on your company's blog as well (you'll get your backlinks).
Instead, if you look forward your career as a pure marketing pro and strategist; write it originally on your company's blog and mention your profile / website / blog links in the author description. And save your own blog for the marketing tips and experiences.
Blog is all about curated content for a specific category of readers, who may then at some point in time can convert into your customers / employers / advisees / mentees depending on how you pitch and what you share.
Hope this clears any doubt.
Hint: For you, I would suggest keeping it away from your personal blog. But then, it is a suggestion. Decide wisely!