Who am I?

While I was biking back home last night, I was again asking myself about "mind" the feeling of "being". Having read some chemical-biological facts about egg fertilization yesterday, I was even more assured than before that what I feel as a unique conscious Mohsen in every single episode of my daily life is an instant state of a distinct combination of billions of activated/inactivated neurons at that specific moment. That specific combination seems to be deterministically driven by three data supplies: genetic information stored in cells, retrieved past information stored in memory and signals received from environment by our sensory organs.
Then I asked myself this old question: If my dad's chromosomes had mated with some other mom's eggs than the current one, would current "Mohsen" still exist? No! What if I had the same parents, but a Sam's dad in South Africa, whom I have never met in my life, had found a sexier wife than his current one, and as a result, had generated another "Sam"? One fact is, I always would still be the same Mohsen as long as I am carrying the same genetic info of my current parents and assuming that in the other universe where mom and dad of Olivier, Mike, Pedram, Linda are some couples different from their lovely ones in this universe, those altered souls of Olivier, Mike, Pedram, Linda would have not changed the environment from the actual one I grew up in this universe. I would be the same Mohsen at least to the point I came to Canada, because these above dudes have had far more affects than negligible into my current state of "Mohsen" since I met them in Canada.
Much evidences in favour of a deterministic life/world.....My puzzlement..