
Thorough and accessible, this book presents the design principles of biological systems, and highlights the recurring circuit elements that make up biological networks. It provides a simple mathematical framework which can be used to understand and even design biological circuits. The textavoids specialist terms, focusing instead on several well-studied biological systems that concisely demonstrate key principles. An Introduction to Systems Biology: Design Principles of Biological Circuits builds a solid foundation for the intuitive understanding of general principles. It encourages the reader to ask why a system is designed in a particular way and then proceeds to answer with simplified models.
Very true, these books are qualitative. There's a bit of basic math around delta-G for reactions and Chi-sq tests for genetic associations, but the conventional undergraduate introductory biology course is 99% descriptive.
There are reasonable arguments for taking that approach. These courses are foundations for subsequent study, with the intended outcome that students have a broad but shallow understanding of core basic ideas. Lots of biology makes intuitive, mechanistic, and visual sense, much like introductory computer science and introductory chemistry.
Obviously applied math plays a key role in biology but it tends to address specific needs like protein structure prediction, dynamic modeling of transcription/translation and metabolism, inferring phylogeny, high-throughput 'omics analysis, network simulation of epidemic outbreaks, and so on. These are great to study, but without the broader context the understanding would be relatively fragmented, lacking the big picture.
Rereading OP's question:
> good modern starting points to someone who would want to learn more about how living beings work (from bottom up)?
I interpret that as wanting a general understanding, starting with chemistry and working upwards towards evolution and populations. That's all in the standard two-semester introductory course, hence my book recommendation.
If that's wrong and OP wants a math-centric approach, here are a few gems:
Physical Biology of the Cell, Phillips, et. al
An Introduction to Systems Biology, Alon
Evolutionary Dynamics, Nowack
Among textbooks, Molecular Biology of the Gene by James Watson et al. is a good starting point to understand the central dogma: DNA -> RNA -> Protein. Likewise Molecular Biology of the Cell by Alberts et al. for cell biology.
An Introduction to Systems Biology by Uri Alon is good for the more mathematically inclined once you're ready to get more advanced, though you should really have a solid grasp on the fundamentals of molecular and cellular biology first.
None of this is for the faint of heart, but it's not especially difficult either. It's unfortunate that it's hard to get hands-on experience with biology once you've graduated from college, which helps a lot to connect the dots, but there are still plenty of great resources out there.
As far as textbooks go, I guess I’d recommend Uri Alon’s book: https://www.routledge.com/An-Introduction-to-Systems-Biology...
Full disclosure, I haven’t read it, but I like his research and he’s a good communicator.
It’s tough because it’s a newish field and not super well defined. The frustrating answer is that the best way to understand the field is maybe to read a book about biology, then a book about computational modeling, then a few papers where they put those together.
I can recommend 3 really good books, SICP-level good:
1. Biological Sequence Analysis by Durbin et al.
How to model DNA, RNA and proteins as probabilistic languages / generative models. There is also a companion book with all exercises solved.
2. Physical Biology of the Cell by Phillips et al.
A massive amount of quantitative cell biology models that use simple undergrad physics.
Originated from a Caltech course. After reading this book, all other intro to biology books look like a bag of tricks.
3. An Introduction to Systems Biology: Design Principles of Biological Circuits by Alon.
Bacterial circuits from the perspective of an electrical engineer.
Sadly, NSF discontinued funding for a totally epic Cold Spring Harbor Summer school for postdocs that taught [2,3].
A shame, we need more quantitative biology and less bags of tricks.