Matthew Asker
@masker.science
Statistical physicist in theoretical biology 🦠
Interested in understanding evolutionary dynamics, particularly relating to AMR and cancer.
Postdoc – MPI for Evolutionary Biology
PhD – University of Leeds
UG – University of Manchester
masker.science
Interested in understanding evolutionary dynamics, particularly relating to AMR and cancer.
Postdoc – MPI for Evolutionary Biology
PhD – University of Leeds
UG – University of Manchester
masker.science
Having thought about it more, (A) does not necessarily imply that X_t is a martingale, right? Only that its average does not drift away from 0.5. So, assuming X_t is a martingale, then the two statements are equivalent. If X_t is not a martingale, I'm not sure at all. Very interesting question!
February 3, 2025 at 6:36 PM
Having thought about it more, (A) does not necessarily imply that X_t is a martingale, right? Only that its average does not drift away from 0.5. So, assuming X_t is a martingale, then the two statements are equivalent. If X_t is not a martingale, I'm not sure at all. Very interesting question!
Yes, absolutely! Had been thinking of a very similar process regarding how the Markov property affects things. I think the condition is that the process is a martingale and not that it has the Markov property for B to imply A. Apologies for the mistake!
February 3, 2025 at 5:47 PM
Yes, absolutely! Had been thinking of a very similar process regarding how the Markov property affects things. I think the condition is that the process is a martingale and not that it has the Markov property for B to imply A. Apologies for the mistake!
To me, it seems that (A) implies (B) so long as the process has absorbing boundaries, even if the behaviour is non-Markovian. Also, if X_t is unbounded, (A) can still model neutrality nicely.
I think (B) only implies (A) if the process is Markovian. So (A) appears the stronger condition.
I think (B) only implies (A) if the process is Markovian. So (A) appears the stronger condition.
February 3, 2025 at 5:02 PM
To me, it seems that (A) implies (B) so long as the process has absorbing boundaries, even if the behaviour is non-Markovian. Also, if X_t is unbounded, (A) can still model neutrality nicely.
I think (B) only implies (A) if the process is Markovian. So (A) appears the stronger condition.
I think (B) only implies (A) if the process is Markovian. So (A) appears the stronger condition.
None taken (check the alt text 😆)
Adaptive dynamics and similar are used to great effect (doi.org/10.1093/evolut/qpad042). Also phenotypic switching / plasticity, which occurs in bacteria & cancer (doi.org/10.1038/s41540-023-00309-1 + self-promo :P doi.org/10.1088/1367-2630/ad0d36). DM me for more!
Adaptive dynamics and similar are used to great effect (doi.org/10.1093/evolut/qpad042). Also phenotypic switching / plasticity, which occurs in bacteria & cancer (doi.org/10.1038/s41540-023-00309-1 + self-promo :P doi.org/10.1088/1367-2630/ad0d36). DM me for more!
Understanding and leveraging phenotypic plasticity during metastasis formation - npj Systems Biology and Applications
npj Systems Biology and Applications - Understanding and leveraging phenotypic plasticity during metastasis formation
doi.org
November 23, 2024 at 12:10 AM
None taken (check the alt text 😆)
Adaptive dynamics and similar are used to great effect (doi.org/10.1093/evolut/qpad042). Also phenotypic switching / plasticity, which occurs in bacteria & cancer (doi.org/10.1038/s41540-023-00309-1 + self-promo :P doi.org/10.1088/1367-2630/ad0d36). DM me for more!
Adaptive dynamics and similar are used to great effect (doi.org/10.1093/evolut/qpad042). Also phenotypic switching / plasticity, which occurs in bacteria & cancer (doi.org/10.1038/s41540-023-00309-1 + self-promo :P doi.org/10.1088/1367-2630/ad0d36). DM me for more!
That's what I wanted to hear!
a red tractor is driving through a field with the words awesome written on the bottom
ALT: a red tractor is driving through a field with the words awesome written on the bottom
media.tenor.com
November 20, 2024 at 9:50 PM
That's what I wanted to hear!
Thanks for this Joshua, could I be added please? P.S. how are you feeling for Sunday? 🚜
November 20, 2024 at 2:54 PM
Thanks for this Joshua, could I be added please? P.S. how are you feeling for Sunday? 🚜
Could I be added to the list please? Thanks in advance!
November 18, 2024 at 3:34 PM
Could I be added to the list please? Thanks in advance!