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UCLA modeling class
United States
เข้าร่วมเมื่อ 23 ส.ค. 2018
Teaching Dynamics to Life Science students
This is a talk given at the 2023 IES Math Summit. The theme of the Summit was "Leveraging STEAM Applications for In-Demand Careers"
มุมมอง: 195
วีดีโอ
Teaching statistics in the 21st century
มุมมอง 2695 หลายเดือนก่อน
19th- and early 20th-century statistics was devoted to trying to derive analytical formulas to describe statistical distributions. In order to derive these formulas (t-test, chi-square, etc.), extremely stringent assumptions had to made (means only, Normal distributions, etc.). Modern computation frees us from these limitations, and also provides a much more intuitive introduction to the fundam...
Teaching Dynamics to Biology Undergraduates
มุมมอง 1285 หลายเดือนก่อน
We describe a course for freshman biology students that introduces them to dynamical systems modeling in medicine, epidemiology, molecular biology and ecological systems. The course, which has NO calculus prerequisite, uses "change equations" (a/k/a ODEs) to set up vectorfields from which dynamical properties can be easily inferred. Teaching Dynamics to Biology Undergraduates: the UCLA Experien...
Newton Abraham Lecture
มุมมอง 8K4 ปีที่แล้ว
University of Oxford 2020 Newton Abraham lecture Prof Alan Garfinkel
19.1 Route to Chaos in Logistic Model 8 30 2019 V2
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19.1 Route to Chaos in Logistic Model 8 30 2019 V2
16.5 Extreme Sensitivity Butterfly Effect 8 30 2019
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16.5 Extreme Sensitivity Butterfly Effect 8 30 2019
12.2 feedback control of gene expression
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12.2 feedback control of gene expression
19.2 Route to Chaos in Food Chain Model 8 14 2019
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19.2 Route to Chaos in Food Chain Model 8 14 2019
19.3 Review of Chaos, Chaos in Nature 8 14 2019
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19.3 Review of Chaos, Chaos in Nature 8 14 2019
20.2 Periodically Stimulated Cardiac Cells
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20.2 Periodically Stimulated Cardiac Cells
6.2 Stable and Unstable Equilibrium Points
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6.2 Stable and Unstable Equilibrium Points
17.3 Sensitive Dependence in Logistic Model
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17.3 Sensitive Dependence in Logistic Model
17.4 Cause of Chaos in Logistic Function
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17.4 Cause of Chaos in Logistic Function
17.5 Routes to Chaos in Discrete Logistic Function
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17.5 Routes to Chaos in Discrete Logistic Function
17.6 Lowering R as an intervention, therapy for chaos
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17.6 Lowering R as an intervention, therapy for chaos
18.1 Variability as internal or external-candle flame
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18.1 Variability as internal or external-candle flame
Why is it that chaotic behavior is absent in continuous time logistic model but present is discrete time logistic model?
good question. the continuous logistic is a 1D diff eq, so can't have oscillations or chaos in its solutions, only Equil points. In the discrete time version, there is an inherent time delay brought in by the Xn+1 vs Xn nature of the model, so the model is no longer 1D.
Thank you so much for your awesome lectures, how can I enroll for this paper at UCLA?
anyone know how the Soviets calculated?
Ancient math how could we possibly use old math😂
I do not hope that Mr. Garfinkel sees my comment but ... its just a little thing from me. Mr. Fazly Ataulakhanov is a biophysicist based in Moscow State University and we had attempted to his lecture sessions. We were told about Belousov who was actually soviet army colonel at the time doing mentioned research. Interestingly we heard that Belousov had a conflict with the soviet academy of sciences related to discovered oscillations but only from Mr. Garfinkel I learned that Belousov had an attempt to send results to Nature journal. I think that was very rude from the reviewer to explicitly ascertain the scientist as a fool.
thanks for your comments! My sources are Strogatz (Nonlinear dynamics and Chaos) and Winfree (Geometry of Biological time). See also my own book "Modeling Life" I'm afraid that ignorant and opinionated reviewers play a strong role
@uclamodelingclass3003 thank you! Appreciate it
Slick!
These videos are so helpful!
Bravo!
Perfect, well explained
amazing video! eager to watch more of these
Thankyou. Professor
Sap in a tree has its best math.
What I want to know is how do they write in reverse on this glass in front of them as it is nothing, so we can see the writings as it should appear?
camera is shooting me through the glass, then flipped in processing
In Second Life, we use Euler's to fly.
You made it so easy to understand
I'm glad you reposted this. Thank you.
You are an excellent Educator
I have no biology or chemistry education
In the movie, she used Euler's Method to compute the change from an elliptical orbit to a parabolic path for John Glenn's capsule to come back to earth.
🙏Nicely explained...Had heared EULERS METHOD in Movie HIDDEN FIGURES and now I was able to understand in detail
Pass😂
It is amazing how a 300 year old formula solved a problem that modern math couldn't
I couldn’t see giving up such beautiful structures. But I do understand
Thankyou
I did good in Berry phase. Total loss of contact with molecular and so on. Just lost
Thankyou.
Thanks a.lot for the video, I just watch the movie for the 3rd time, and decided to check on the accuracy on the Euler's method scene... I am far from being a Math perso, did it ok at school... Still was impressed by all the problems and situations described in the movie... Thanks again...
🇮🇳 Well, Mathematical Science is to be fastinating subject, simply says Mother of all subjects, while opting her my Major Graduation, I felt her love.
An excellent easily understood educator.
Probably already been mentioned….but this problem can also be applied to the discovery of Quasars. Pulsing Radio signals from quasars had been “received” before, but were not “visible” because astronomers were integrating too long. It was perceived as noise. When they started running the charts faster, the quasar pulses began to be visible as a valid signal as opposed to noise.
very useful! I studied this stuff as an engineering undergrad but it's clearer to me now than before.
I have no doubt that Euler is one among the gods in heaven as he keeps blessing us until this day.
17:33 unless the punch not being perpendicular is important to the explination. Which I feel like its not because the leaking faucet does have this sort of issue with a different angle punch it more so has to do with it still returning to the same state not that the faucet is "pushing" at a different angle. I feel a better way to explain it would have been a surface on a spring that is always punched in the same direction if you punch and let it return and then punch and let it return the system oscillates steadily. But if you punch it while it is on its way back, you create weird oscillation. no difference in angle of punches.
WOW!!!...Amazing
I have seen lot of videos of professionals, but this one is at another level. Huge information with an easy and clear way... Thank you Professor
It's almost criminal that I've been losing my mind for past week trying to start somewhere with these topics while TH-cam would constantly recommend the same bloody TH-cam videos that don't know how to explain anything and not recommend me your channel:') Great work. :))
hey, thanks,!!!
I just how lucky are we to know where to go
What an excellent lecturer you are. Thank you for sharing your talent of making the complex understandable.
thank you so much!
the scene in the movie about Glenn and Garfinkel's description don't match -- in the movie the computer tech results were off and Katherine corrected them.
baie dankie professor!
What a beautiful explanation. Thank you Prof.
THANKS ALOT
4:40 Shouldn't the change vector end at (25, -15)? I'm confused by the correction.
so sorry, yes it should. little brain freeze there on my part
does he still teach at ucla?
After scavenging TH-cam for anyone who was able to dumb-down Euler’s method for me to understand, I have finally found it. Thank you!
hah hah, that's a huge compliment! thanks!
You just won't be able to understand how this video speaks to an engineer.. Unless you have the background.. Salute from the Philippines!!!
thanks so much!!
Who’s Raylay? Isn’t it Raalee? Like the tobacco! Great lecture!🙏
Thanks for the actual referenc to the article of the original author of this model. Nice explanations as usual.
you're very welcome!
Thank you for the lectures. I like the way you teach. The flow of information is pretty frictionless :)
You're very welcome!
How do we know that k is exactly the probability that a successful reaction occurs?
Is it just algorithm