Mdemeriti

mdemeriti@mathdept.okstate.edu

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Lunch with Colloquium Speaker Lucas Stolerman
by David Wright 03 Dec '21

03 Dec '21

Hi: We will be going to lunch with our speaker at Fuzzy's on the strip at 12:30 PM. If you would like to join us, you can meet us there, or meet at the elevators on the 4th floor at shortly after 12:20 and we will walk over there. Sincerely, David

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Math Colloquium today by Lucas Stolerman
by David Wright 03 Dec '21

03 Dec '21

This is a reminder of a special math colloquium today: Speaker: Prof. Lucas M. Stolerman, Oklahoma State University / Machine Intelligence Lab / Boston Children's Hospital / Harvard Medical School Title: Stability Analysis of Reaction Models for Protein Interaction Networks Location: LSW 103 (big room on first floor of LSW just north of MSCS) Time: Friday, Dec. 3, 3:30PM The abstract is at the end of this message. Here are a couple of links to recent papers of Dr. Stolerman on understanding protein behavior at the cellular level using geometric PDE and ODE. https://link-springer-com.argo.library.okstate.edu/article/10.1007%2Fs11538… https://link-springer-com.argo.library.okstate.edu/article/10.1007%2Fs11538… Best wishes, David Wright, Dept. of Math. OSU ========================================================================= Abstract: This‌ ‌talk‌ ‌will‌ ‌cover‌ ‌two‌ ‌of‌ ‌my‌ ‌recent‌ ‌papers‌ ‌in‌ ‌cell‌ ‌biology,‌ ‌where‌ ‌local‌ ‌stability‌‌ analysis‌ ‌provided‌ ‌insights‌ ‌into‌ ‌protein‌ ‌network‌ ‌dynamics.‌ ‌In‌ ‌the‌ ‌first‌ ‌paper,‌ ‌we‌‌ investigate‌ ‌the‌ ‌pattern‌ ‌formation‌ ‌of‌ ‌a‌ ‌reaction-diffusion‌ ‌model‌ ‌for‌ ‌protein‌ ‌clustering‌‌ in‌ ‌the‌ ‌plasma‌ ‌membrane.‌ ‌We‌ ‌obtain‌ ‌theoretical‌ ‌estimates‌ ‌for‌ ‌diffusion-driven‌‌ instabilities‌ ‌of‌ ‌the‌ ‌protein‌ ‌aggregates‌ ‌based‌ ‌on‌ ‌the‌ ‌Turing‌ ‌mechanism.‌ ‌Our‌ ‌main‌‌ result‌ ‌is‌ ‌a‌ ‌threshold‌ ‌phenomenon:‌ ‌a‌ ‌sufficiently‌ ‌high‌ ‌feedback‌ ‌reaction‌ ‌between‌ ‌the‌‌ membrane‌ ‌and‌ ‌cytosolic‌ ‌proteins‌ ‌promotes‌ ‌the‌ ‌formation‌ ‌of‌ ‌a‌ ‌single-patch‌ ‌spatially‌‌ heterogeneous‌ ‌steady‌ ‌state.‌ ‌In‌ ‌the‌ ‌second‌ ‌paper,‌ ‌we‌ ‌discuss‌ ‌GTPase‌ ‌molecular‌‌ switches‌ ‌and‌ ‌a‌ ‌network‌ ‌between‌ ‌monomeric‌ ‌(m)‌ ‌and‌ ‌trimeric‌ ‌(t)‌ ‌GTPases‌ ‌that‌ ‌have‌‌ been‌ ‌recently‌ ‌found‌ ‌in‌ ‌experiments.‌ ‌We‌ ‌develop‌ ‌a‌ ‌nonlinear‌ ‌ordinary‌ ‌differential‌‌ equation‌ ‌model‌ ‌and‌ ‌provide‌ ‌explicit‌ ‌formulae‌ ‌for‌ ‌the‌ ‌steady‌ ‌states‌ ‌of‌ ‌the‌ ‌system.‌ ‌By‌‌ performing‌ ‌a‌ ‌local‌ ‌stability‌ ‌analysis,‌ ‌we‌ ‌systematically‌ ‌investigate‌ ‌the‌ ‌role‌ ‌of‌ ‌the‌‌ different‌ ‌connections‌ ‌between‌ ‌the‌ ‌GTPase‌ ‌switches.‌ ‌Interestingly,‌ ‌a‌ ‌coupling‌ ‌of‌ ‌the‌‌ active‌ ‌mGTPase‌ ‌to‌ ‌the‌ ‌GEF‌ ‌of‌ ‌the‌ ‌tGTPase‌ ‌is‌ ‌sufficient‌ ‌to‌ ‌provide‌ ‌two‌ ‌locally‌ ‌stable‌‌ states‌ ‌that‌ ‌can‌ ‌be‌ ‌interpretable‌ ‌biologically.‌ ‌When‌ ‌we‌ ‌add‌ ‌a‌ ‌feedback‌ ‌loop‌ ‌to‌ ‌the‌‌ coupled‌ ‌system,‌ ‌two‌ ‌other‌ ‌locally‌ ‌stable‌ ‌states‌ ‌emerge.‌ ‌Our‌ ‌findings‌ ‌reveal‌ ‌that‌‌ coupling‌ ‌these‌ ‌two‌ ‌different‌ ‌GTPase‌ ‌motifs‌ ‌can‌ ‌dramatically‌ ‌change‌ ‌their‌‌ steady-state‌ ‌behaviors‌ ‌and‌ ‌shed‌ ‌light‌ ‌on‌ ‌how‌ ‌such‌ ‌coupling‌ ‌may‌ ‌impact‌ ‌signaling‌‌ mechanisms‌ ‌in‌ ‌eukaryotic‌ ‌cells.

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Colloquium on December 3 at 3:30 PM by Prof. Lucas M. Stolerman
by David Wright 19 Nov '21

19 Nov '21

Hello: This is to announce a general mathematics colloqium: Speaker: Prof. Lucas M. Stolerman, Oklahoma State University / Machine Intelligence Lab / Boston Children's Hospital / Harvard Medical School Title: Stability Analysis of Reaction Models for Protein Interaction Networks Location: LSW 103 (big room on first floor of LSW just north of MSCS) Time: Friday, Dec. 3, 3:30PM Dr. Stolerman will be joining the OSU faculty this spring, and I hope you will join us to hear about his research understanding question in cell biology with the use of sophisticated mathematics. His abstract is below. Best wishes, David Wright, Dept. of Math. OSU Abstract: This‌ ‌talk‌ ‌will‌ ‌cover‌ ‌two‌ ‌of‌ ‌my‌ ‌recent‌ ‌papers‌ ‌in‌ ‌cell‌ ‌biology,‌ ‌where‌ ‌local‌ ‌stability‌‌ analysis‌ ‌provided‌ ‌insights‌ ‌into‌ ‌protein‌ ‌network‌ ‌dynamics.‌ ‌In‌ ‌the‌ ‌first‌ ‌paper,‌ ‌we‌‌ investigate‌ ‌the‌ ‌pattern‌ ‌formation‌ ‌of‌ ‌a‌ ‌reaction-diffusion‌ ‌model‌ ‌for‌ ‌protein‌ ‌clustering‌‌ in‌ ‌the‌ ‌plasma‌ ‌membrane.‌ ‌We‌ ‌obtain‌ ‌theoretical‌ ‌estimates‌ ‌for‌ ‌diffusion-driven‌‌ instabilities‌ ‌of‌ ‌the‌ ‌protein‌ ‌aggregates‌ ‌based‌ ‌on‌ ‌the‌ ‌Turing‌ ‌mechanism.‌ ‌Our‌ ‌main‌‌ result‌ ‌is‌ ‌a‌ ‌threshold‌ ‌phenomenon:‌ ‌a‌ ‌sufficiently‌ ‌high‌ ‌feedback‌ ‌reaction‌ ‌between‌ ‌the‌‌ membrane‌ ‌and‌ ‌cytosolic‌ ‌proteins‌ ‌promotes‌ ‌the‌ ‌formation‌ ‌of‌ ‌a‌ ‌single-patch‌ ‌spatially‌‌ heterogeneous‌ ‌steady‌ ‌state.‌ ‌In‌ ‌the‌ ‌second‌ ‌paper,‌ ‌we‌ ‌discuss‌ ‌GTPase‌ ‌molecular‌‌ switches‌ ‌and‌ ‌a‌ ‌network‌ ‌between‌ ‌monomeric‌ ‌(m)‌ ‌and‌ ‌trimeric‌ ‌(t)‌ ‌GTPases‌ ‌that‌ ‌have‌‌ been‌ ‌recently‌ ‌found‌ ‌in‌ ‌experiments.‌ ‌We‌ ‌develop‌ ‌a‌ ‌nonlinear‌ ‌ordinary‌ ‌differential‌‌ equation‌ ‌model‌ ‌and‌ ‌provide‌ ‌explicit‌ ‌formulae‌ ‌for‌ ‌the‌ ‌steady‌ ‌states‌ ‌of‌ ‌the‌ ‌system.‌ ‌By‌‌ performing‌ ‌a‌ ‌local‌ ‌stability‌ ‌analysis,‌ ‌we‌ ‌systematically‌ ‌investigate‌ ‌the‌ ‌role‌ ‌of‌ ‌the‌‌ different‌ ‌connections‌ ‌between‌ ‌the‌ ‌GTPase‌ ‌switches.‌ ‌Interestingly,‌ ‌a‌ ‌coupling‌ ‌of‌ ‌the‌‌ active‌ ‌mGTPase‌ ‌to‌ ‌the‌ ‌GEF‌ ‌of‌ ‌the‌ ‌tGTPase‌ ‌is‌ ‌sufficient‌ ‌to‌ ‌provide‌ ‌two‌ ‌locally‌ ‌stable‌‌ states‌ ‌that‌ ‌can‌ ‌be‌ ‌interpretable‌ ‌biologically.‌ ‌When‌ ‌we‌ ‌add‌ ‌a‌ ‌feedback‌ ‌loop‌ ‌to‌ ‌the‌‌ coupled‌ ‌system,‌ ‌two‌ ‌other‌ ‌locally‌ ‌stable‌ ‌states‌ ‌emerge.‌ ‌Our‌ ‌findings‌ ‌reveal‌ ‌that‌‌ coupling‌ ‌these‌ ‌two‌ ‌different‌ ‌GTPase‌ ‌motifs‌ ‌can‌ ‌dramatically‌ ‌change‌ ‌their‌‌ steady-state‌ ‌behaviors‌ ‌and‌ ‌shed‌ ‌light‌ ‌on‌ ‌how‌ ‌such‌ ‌coupling‌ ‌may‌ ‌impact‌ ‌signaling‌‌ mechanisms‌ ‌in‌ ‌eukaryotic‌ ‌cells.

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Weiping's Retirement
by Anthony Kable 08 Nov '21

08 Nov '21

Dear Colleagues, I am writing to let you know that Weiping Li has decided to retire from OSU effective at the beginning of 2022. Weiping had an amazing research career that included significant contributions both to topology (à la Floer) and to mathematical finance. It has been great to have Weiping as a colleague and I'm sure that you will join me in congratulating him on his retirement and wishing him the best for the future. Anthony -- Anthony Kable Professor and Interim Head Department of Mathematics Oklahoma State University (MSCS 401 *** 405-744-8224 *** anthony.kable(a)okstate.edu)

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Special Talks by Professor Joe Silverman this week
by David Wright 03 Nov '21

03 Nov '21

Dear all: I would like to contribute another reminder to everyone of the special talks this week by visiting Distinguished Professor Joe Silverman from Brown University. Anyone who is interested may attend any of them. Dr. Silverman has literally written the book on each talk. Wednesday 11/3 at 5:30 PM there is a Math talk in MSCS 101. "Taxicabs and Sums of Two Cubes: An excursion in Number Theory": This is an introductory talk by Professor Silverman (who authored a very popular undergraduate textbook "A Friendly Introduction to Number Theory") on a interesting story in elementary number theory involving Ramanujan and Dr. Silverman's own contributions much later. Thursday, 11/4 at 1:45 PM in MSCS 405/428. Number Theory Seminar: "Points of small height on elliptic curves and abelian surfaces" This will be a research-level seminar in Dr. Silverman's specialization in number theory. Dr. Silverman is the author of one of the most widely used textbooks "The Arithmetic of Elliptic Curves" on the number theory of elliptic curves, a subject which was the background for Andrew Wiles' famous proof of Fermat's Last Theorem. To be honest, you might need to have read a bunch of that before undertaking such a seminar. Dr. Silverman is a world-class speaker, but a seminar is at a pretty high level. Finally, the feature talk this week is a general audience colloquium on Friday, November 5, 3:30 PM, in SSH 035, followed by the reception in SSH 130 (the parlor area) (the building formerly called Murray Hall). "How Quantum Computers Will Kill Bitcoin and Break the Internet, and What We Can Do About It" Dr. Silverman is a co-author (with Hoffstein and Pipher) of the textbook "An Intro to Mathematical Cryptography" as well as founder of the crypto company NTRU Cryptosystems (now part of Security Innovation) which created the NTRU cyptosystem which is being studied as a potentially secure system in the event of the creation of the first real quantum computer (which will render many current cryptosystems insecure). If you are interested in crypto (or the future of the world), you may find this talk very interesting from a leader in the field. There are some times this week, where Dr. Silverman will be available in the colloquium visitor's office MS 407: 10AM Wednesday and Thursday. In addition, there is a special talk at 11AM on Thursday morning in the "virtual number theory seminar" https://www.ntwebseminar.org/ by one of Dr. Silverman's former students Dr. Kate Stange, professor of Math at the University of Colorado. That can be watched over the internet provided you register for the seminar at the above link. Drs. Fili and Doyle are arranging a viewing in MS509, but seating is limited, and you should contact Dr. Fili or Doyle to see if space remains available. Thanks to Drs. Fili and Pritsker for organizing this special week of talks in number theory. Best wishes, David Wright

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