I remember studying mathematical modeling and touching on differential equations back in the summer of last year, and HOLY SHIT did this video shed a lot of light into how the fuck linearization and jacobians work, I thought it was just some random magic but you gave EXACTLY the method behind the madness
I'm from Brazil and im a graduate student in biology. I'm currently working in bioinformatics and trying to learn syntetic biology. Im really greatful that i saw this playlist of biology explained from math perspective, its giving me great insights. Your content is awesome and I will cheer for this chanell to grow! You got a new subscriber and a huge fan.
This series is so amazing! I've always loved biology, but my main focus of study was physics and math, so getting to see them combined like this is just incredible! Keep up the great work!
Keep up the great work. I come from a mathematics background and biology was a pretty opaque subject to me. It felt like something that was more built on memorizing facts rather than developing an intuition behind how things work. You've been blowing my mind about how you can use mathematical tools along with first-principles reasoning to develop an intuition on how certain aspects of cellular biology are implemented.
This isn't really first principles; it is modeling. True first principles would be F=ma, or quantum mechanics, and then deriving a cell and its behaviors just from that. Which is, needless to say, a task that seems impossible. Another example is predator-prey models; it is 'tertiary principle' in that we make assumptions, then derive differential equations, but it isn't 'first principle' in that we don't start at the most fundamental level; hence, it is a model. But these tertiary principles can be derived from lower levels, hence why they aren't 'first principles. First principles would be true axioms. True first principles would be using the axioms of mathematics combined with the most fundamental physical laws to derive all of biology
Every time you upload a video of this series, i rewatch the whole thing! This will be taught in schools and universities i guaranty you! Thank you for the amazing work, it is so much appreciated.
Hey NanoRooms, You have got a new subscriber. These videos are like finding the rarest gem. Mathematics and Biology combined together to describe the underlying function of nature is truly mind-boggling.
top tier content. What is crazy to me is how the microtubules all organize to anchor and pull the cell apart; this has to be some incredibly complex nano-action going on, yet we cannot see any of it. It is too small, and too bad we cannot see at that scale.
We aren't even close to that. I think you are confusing the model of our understanding for the actual thing itself. We really know next to nothing of how cells truly function; we've just mapped out a very small tidbit, and people start to think "I know how a cell works, truly." If anyone knew how a cell actually worked, we would be able to create them from scratch. There are things going on in the cell that we don't even know; they behave as perfect self replicating nano-machines, yet we cannot see the parts that do any of this on an internal level; we just postulate that they most fulfill their assigned function, and we leave it at that
To see in higher dimensions we take a vector field and start adding properties to the vectors, length, colour (r, g, b), thickness, branches, sides, fur, eyes
It’s unlikely that all of these mechanism ( resulting in each organism prepared for surviving in their precise proper environment ) is the fruit of random mutations over billion years, even the simplest form of life is too ingenious, and like what you exposed for example in the video of cycle cell signal ( the auto regulations by feedback and the pattern that it result ) all animals with their precise (physical and behaviors ) characteristics in a local area act like different repressor and activator needed to regulate the presence of each of them needed to support all of them ( and in the macro macro scale ) all of the interactions of all animals and plants in each local area is needed to permit to the living things to live, survive. What a complex and absolutely fragile thing that are « life »
Im a biology student with an interest in maths and these types of videoes combine the topics perfectly
I remember studying mathematical modeling and touching on differential equations back in the summer of last year, and HOLY SHIT did this video shed a lot of light into how the fuck linearization and jacobians work, I thought it was just some random magic but you gave EXACTLY the method behind the madness
Oh yeah and the mechanism behind the cell division too I guess
Dude your videos are great, please keep the series going on and thanks for your hard work!
I'm from Brazil and im a graduate student in biology. I'm currently working in bioinformatics and trying to learn syntetic biology. Im really greatful that i saw this playlist of biology explained from math perspective, its giving me great insights. Your content is awesome and I will cheer for this chanell to grow! You got a new subscriber and a huge fan.
Seriously, your work is a gem & needs to be recognized!
This series is so amazing! I've always loved biology, but my main focus of study was physics and math, so getting to see them combined like this is just incredible! Keep up the great work!
Keep up the great work.
I come from a mathematics background and biology was a pretty opaque subject to me. It felt like something that was more built on memorizing facts rather than developing an intuition behind how things work.
You've been blowing my mind about how you can use mathematical tools along with first-principles reasoning to develop an intuition on how certain aspects of cellular biology are implemented.
This isn't really first principles; it is modeling. True first principles would be F=ma, or quantum mechanics, and then deriving a cell and its behaviors just from that. Which is, needless to say, a task that seems impossible.
Another example is predator-prey models; it is 'tertiary principle' in that we make assumptions, then derive differential equations, but it isn't 'first principle' in that we don't start at the most fundamental level; hence, it is a model. But these tertiary principles can be derived from lower levels, hence why they aren't 'first principles. First principles would be true axioms.
True first principles would be using the axioms of mathematics combined with the most fundamental physical laws to derive all of biology
Every time you upload a video of this series, i rewatch the whole thing!
This will be taught in schools and universities i guaranty you!
Thank you for the amazing work, it is so much appreciated.
In just a few videos you have become my favorite UA-camr I love how you explain things great video 👍🏾
I played this video to fall asleep but it ended up being so interesting that I have to change it and finish tomorrow. Great job!
Hey NanoRooms, You have got a new subscriber. These videos are like finding the rarest gem. Mathematics and Biology combined together to describe the underlying function of nature is truly mind-boggling.
top tier content. What is crazy to me is how the microtubules all organize to anchor and pull the cell apart; this has to be some incredibly complex nano-action going on, yet we cannot see any of it. It is too small, and too bad we cannot see at that scale.
I didn't even realize that was 30 minutes long! For the first time, I feel like I'll get to use Diff EQ in bioengineering! Magical ending
When do you think will be the time when we will be able to simulate (some) cell as a whole? Or is it already possible?
We aren't even close to that. I think you are confusing the model of our understanding for the actual thing itself. We really know next to nothing of how cells truly function; we've just mapped out a very small tidbit, and people start to think "I know how a cell works, truly."
If anyone knew how a cell actually worked, we would be able to create them from scratch. There are things going on in the cell that we don't even know; they behave as perfect self replicating nano-machines, yet we cannot see the parts that do any of this on an internal level; we just postulate that they most fulfill their assigned function, and we leave it at that
Man those videos are gold gold gold i love them
You and artem kirsanov are like two sides of the same coin w videos keep it up pookie bear
amazing video and graphics
Phenomenal video 👏👏👏
To see in higher dimensions we take a vector field and start adding properties to the vectors, length, colour (r, g, b), thickness, branches, sides, fur, eyes
This video is so great !!
Insanely usefull! Thanks
Wants more detailed references
More!
Have you ever looked at Flux-Balance-Analysis?
hell yeah great video
0:25 uh yes myyy MOOOOOOM , muscle man joke
7:46 continuous ambiguity of cell divisions?
CALCULUS:differential equation
Love it
做的好，应用数学。
Are you in grad school?
Good question, I’m also interested.
Undergrad, 2nd year
@@Nanorooms wow that insane! Keep going, your gonna go really far!
What are you studying ?
I am in a program that allows me to design my own degree. I’m integrating math, chemistry, and biochemistry together in one degree
It’s unlikely that all of these mechanism ( resulting in each organism prepared for surviving in their precise proper environment ) is the fruit of random mutations over billion years, even the simplest form of life is too ingenious, and like what you exposed for example in the video of cycle cell signal ( the auto regulations by feedback and the pattern that it result ) all animals with their precise (physical and behaviors ) characteristics in a local area act like different repressor and activator needed to regulate the presence of each of them needed to support all of them ( and in the macro macro scale ) all of the interactions of all animals and plants in each local area is needed to permit to the living things to live, survive. What a complex and absolutely fragile thing that are « life »