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/sci/ - Science & Math

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10774219 No.10774219 [Reply] [Original]

Thought this thread was a pretty good idea, before it died last time. Yellow nodes are infected, green are recovered, and purple are susceptible. Biomathematics is cool.

>> No.10774222

>>10774219
So how do you apply that gif to math?

>> No.10774231

>>10774222
Disease system analysis has huge implications in public policy. The gif is an elementary model of random movement/transmission on a lattice - more of an example than anything serious.

>> No.10774242

>>10774222
Oh, and out of disease systems there are tons of mathematics! Dynamical systems is probably the most pronounced, as most of the systems (at least in my experience) boil down to a set of (integro-)differential equations

>> No.10774553

bump

>> No.10774565

>>10774219
Banach spaces and its subspaces like Hilbert space in color perception and formation of color neural field and color space representation in [math]R^3[/math].

>> No.10774572

>>10774565
>subspaces like Hilbert space
What?

>> No.10774587

>>10774572
and its special case of space with inner product *

>> No.10774601

>>10774219
I am beginning to do research in hemodynamics (blood flow) and only have a pure math and statistics background. What How can I learn fluid dynamics quickly and what other kinds of subjects do I need to learn?

>> No.10774616

>>10774601
It shouldn't be hard understanding fluid dynamics and rheology with a good math background. If you are good with differential equations and dynamical systems you should easily get the subject. You practically only need to know about certain blood properties. Blood flow through arteries and veins is basically fluid flowing through network of pipes. So all you need to understand are few things, for example what is blood made of and how could certain processes change its composition and therefore its physical properties, also few things about the medium it flows (arteries and veins and their tunicas).

>> No.10774670

>>10774219
>AMG all caps
Any particular reason?

Anyhow, I'm an economist. Any applications you'd recommend getting into? I know my maths frontwards backwards, so that shouldn't be a concern.

>> No.10774675

>>10774670
economists are mathlets

>> No.10774681

>>10774670
>I'm an economis
>I know my maths frontwards backwards, so that shouldn't be a concern
fucking kek

>> No.10774685

>>10774675
>>10774681
>t. math undergrads learning babby differential geometry

>> No.10774907

>>10774685
>Implying you only know baby differential geometry if any>>10774681

>> No.10775017

Ebin bump.
>>10774907
>implying I implied that, engineeringtard

>> No.10775029

>>10774565
Is this a real area of research? Are the people in this fields primarily biologists or mathematicians?

>> No.10775035

>>10774675
economists go in to their PhDs knowing real analysis. Don't be fooled by the fact that the majority of econ *majors* are mathlets.

>> No.10775098

Anybody here into topology optimization?

>> No.10775338

How do I derive this projection from scratch rather than just verifying it works by computing P(P(z))?

>> No.10775359
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10775359

>>10775338

>> No.10775366

>>10775359

>where A is fat and full rank

damn applied math lookin dummy THICC

>> No.10775516

>>10774670
Optimal transport is a hot topic in pdes and has its roots in the intersection of mathematics and economics.

>> No.10776002

>>10775516
What does optimal transport have to do with PDEs? That's a linear programming problem.

>> No.10776014
File: 2.38 MB, 1200x500, afib.webm [View same] [iqdb] [saucenao] [google]
10776014

Chaotic conduction in a model of atrial fibrillation. Math is a PDE:

[eqn]
\frac{\partial u}{\partial t} = \nabla \cdot ( \mathbf{D} \nabla u) - I,
[/eqn]
where [math] I [/math] is obtained from a system of ODEs based on the Cherry-Fenton model for the atrial cell.

>> No.10776054

>>10776014
Can I see your code?

>> No.10776080

>>10776054
Yeah, just give me a second to clear it up a bit. I'll post a simplified model, so you can play with it.

It's in python 3.7 + numpy&matplotlib. It's pretty messy and not commented much. Should I just copy/paste it in a comment?

>> No.10776119

>>10776080
Thanks.
Yeah, either that or in a pastebin or something.
(In comments it will mess up the indentation)

>> No.10776122
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10776122

Here's the code for something similar to >>10776014: http://oneclickpaste.com/25065/

It's a simplified model - doesn't have all the elements in the video I posted, but you can still play with it and reproduce the patterns you see there. Any tips for speeding it up would be appreciated, by the way.

>> No.10776126

>>10775029
Yea, it's real. You need knowledge from both. Usually you go for Phd in computational biology or neuroscience and if you are mathematician you take biology courses at first to introduce yourself to the field and if you come from any of the biological field you take math courses needed for the subject. There are tons of papers published on this specific topic.

>> No.10776128

I'm getting into applied math after a pure math + physics double major in undergard.
Trying to figure out what kind of stuff I want to do.

Any topics to check out that you'd recommend?

>> No.10776134

>>10776122
Thanks. I'm on my phone so I'll check it later

>> No.10776167

>>10774670
What degree?

>> No.10776204
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10776204

Any mathematical biology people out there?

>> No.10776218

>>10776204
Yeah, I just posted some stuff above >>10776014.

Though I guess it's more mathematical medicine, in a way. I'm also interested in immunology.

>> No.10776219

>>10776204
yep here i am

>> No.10776236

>>10776204
What are you working on?

>> No.10776245

>>10774219
I can't into formal proof. should I consider learning it ?

>> No.10777014

>>10776245
Sure, why not?

>> No.10777057

>>10774219
>/AMG/ - Applied Math General
>good idea
try one or both of the following >>>/lgbt/ and >>>/hm/

>> No.10777064 [DELETED] 

>>10776204
>mathematical biology
Refer to >>>/lgbt/

>> No.10777067

>>10776245
>cant into formal proof
See >>>/mlp/

>> No.10777509

LADS
I JUST WANT A COMFY DATA SCIENCE JOB
IS THAT TOO MUCH TO ASK?

>> No.10777518 [DELETED] 

>>10777064
shut up useless nigger

>> No.10777539 [DELETED] 

>>10777518
applied fags have no right to call themselves mathematicians.
try posting on >>>/hm/
that might be more your speed.

>> No.10777811
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10777811

I'll bump and go to sleep.

>> No.10778708

bumpo

>> No.10778743

>>10774219
>/AMG/ - Applied Math General
But there's already one up, see: >>10769848

>> No.10778850
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10778850

So which of these fields is the most BASED?

>> No.10779390

>>10777509
Then you probably should've gone to grad school in california or washington.
>>10778850
Dynamical systems

>> No.10779397

>>10776204
prospective

>> No.10779466

>>10779390
>Dynamical systems
Why? What's exciting in Dynamical Systems? During undergrad it was super easy but kind of boring.

>> No.10780972

>>10778850
sifin for sure

>> No.10782197
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10782197

>>10777811
I'll bump and stay awake.

>> No.10782969

>>10779390
I haven't gone to grad school yet.
>>10779466
Ergodic theory is kino.

>> No.10783239
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10783239

Working on stuff

>> No.10783329

>>10776122
Can you link the Cherry et al. 2007 paper? Can't seem to find it.

>> No.10783333
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10783333

https://www.youtube.com/watch?v=rlI1KOo1gp4

Is algebraic topology going to help us solve the mystery of how biological neural networks works?

>> No.10784367

I've just woken up, so I'll bump.

>> No.10785590

It's late, so I'll bump.
>>10783333
I'm always extremely suspicious of applications of fields like category theory, algebraic geometry, algebraic topology, etc.
But maybe.

>> No.10785818
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10785818

>>10783333
https://ncatlab.org/nlab/show/persistent+homology

>> No.10787620

What industry pays comfy enough for somebody with an MSc in Applied Math?
My problem is, I don't want to go into finance and I don't want to do code monkey work either.
I'd prefer some kind of manufacturing or engineering related job or even scientific research if that's possible.

>> No.10787640

>>10785818
Yes, but does it actually tell you anything? Just seems like a somewhat interesting phenomenological indicator, not something that could really guide our understanding.

>> No.10788117

>>10787620
Aerospace/big pharma (biostats)

>> No.10788666
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10788666

>>10787640
https://en.wikipedia.org/wiki/Topological_data_analysis

>> No.10790420

>>10776219
You genetics or more infectious diseases? I'm an undergrad looking at math bio specifically infectious disease modeling

>>10776236
How network topology changes disease transmission

>>10779397
How's the search coming? You an undergrad too?

>> No.10790423

>>10778850
dynamical systems seconded

>> No.10790427

>>10774670
Acronyms should be capitalized.

>>10776128
I would ONLY recommend dynamical systems, especially with a physics and pure math background. Every day I learn of a new area where dynamical systems is applicable - I'm sure you wouldn't have to look far finding an application you'd be interested in

>> No.10790430

>>10783239
What am I looking at?

>> No.10791538

I'll bump.

>> No.10792809

I'll bump once more.

>> No.10793657

>tfw studying mathematical statistics
>tfw most of the world doesn't see it as applied mathematics

>> No.10793667

>>10790420
Undergrad yeah. Just trying to feel out exactly what courses worth taking before grad school, what can be set aside for later and whether its worth switching to biophysics instead.

>> No.10793734

>>10774601
Continuum mechanics is what you want.
Shouldn't be difficult for somepone with maths background.

Introduction to Continuum Mechanics by W Michael Lai, David H. Rubin, Erhard Krempl, David Rubin

This is a great book

>> No.10795609

Bumping the brainlet containment general.

>> No.10795610

>Applied Math
https://www.youtube.com/watch?v=Zm-sQnazFAQ