1. Colston "Where do we go from here?" symposium (13)
1.How to understand the richness of hypermeander spectra?
2. What stops vortex filaments in motionless excitable media from colliding?
3. How to evaluate the nine coefficients of the "laws of motion" of
vortex filaments?
4. Do stable organizing centers really move like rigid bodies, i.e.,
drift while spinning?
5. How to accommodate the fact that "twist" cannot be clearly defined
in real cases?
6. What sort of complex-valued polynomials prescribe knots more general
than torus knots?
7. What happens if filaments do not stop as in Question 2? Can filaments
pass through one another?
8. Is it really true that filament motions are hopelessly non-periodic?
9. How to construct a dynamical theory of the "sproing" instability
of twisted filaments?
10. When a vortex filament is struck by a tilted activation front,
how does it move?
11. Under what conditions does local geometry balance such slapping
in stable organizing centers?
12. How do filament segments mutually synchronize one another?
13. Can any of this be related to the dynamics of linked and knotted
rings in Lagrangian fields?
2. Geometry of Biological Time 2001, 183 flagged questions by page
in green book:
7: Sleep timing discontinuity: topological origin?
this was a rhetorical question, answer known: No.
should not be flagged
8: No dependence of sleep onset on prior anything? also p560
15: Benham's Top flicker colors: mechanism???
24: Werner's Klein bottle map of sole of foot never retracted??
39: Still no resetting maps of Type other than 0,1? Why? also p118
69: Slime mold singular filament ever close in a ring? with twist?
also p445
71: What is hyper-meander? also 293, 390, 460
73: Is Gonyaulax's phase singularity a population scatter without individual
arrest?
74: In what sense is laser optical field really an excitable medium??
115: Ostensibly discontinuous resetting unverified: which of three
interpretations?
116: No Type 0 in cell cycle or female cycle?
118: Clear case of Type 0 in a single cell?
118: Only Type 0, 1 ever found in cell populations? Cote's Type 2 in
Euglena?
124: No confirmation of syntal as a sub-critical Hopf bifurcation?
also on p235
My error: Daido (1996)
Physica D 91, 24-66 also observed it
126: No instance of Kuramoto's model except Josephson junctions, really??
126: What is the density threshold for syntal in yeast suspensions?
also on p364, 366
126: Syntal observed in rat SCN tissue culture, in cyanobacterial circadian
rhythm: compare quantitative theory
Ditto Vanag's BZ suspensions
in oil: Science 294, 835 (2001)
126: Influence-Sensitivity analysis awaits experimental applications;
also p233
128: No example of anti-syntalansis?
129: How to think about epilepsies of various kinds?
131: Does Peskin sino-atrial node model really work for fireflies?
132: Need to measure Sensitivity function on fireflies
132: Football-field problem: syntalansis with superposable 1/r2 propagation
132: Two modes of human clapping arise in any abstract oscillator models?
133: When and how does syntalansis enhance precision over individual
statistics?
137: Need proof Nectria oscillates behind its frontier
143: Continuous ring of simple clocks in limit of smallness: analytical
solutions
150: Clock state variable demolished by light: TIM in case of Drosophila
clock?
162: Phaseless sets patched together from manifolds of different dimensions,
therefore not a manifold?
172: FHN excitable oscillator isochrons of 1978 OK?
172: Isochron geometry near singularity measurable now in chick ventricular
balls? codim 1 or 2?
172: How do isochrons change when kinetics is changed only locally?
173: And when a global period-doubling bifurcation happens?
180: Phase compromise experiment never executed in chemical oscillator,
but could be now
180: Does Physarum have a circadian clock?
185: Kawato's finding of a 3rd degree of freedom now confirmed in D.melanogaster
molecular genetics?
185: Phase-resetting behavior expected with 3+ dimensions ever seen
in experiments?
187: for example, multiple singularities?
188: Finish Gedeon+Glass extension to infinite dimensions
191: How transition from continuous to discontinuous resetting maps
in Briggs-Rauscher oscillator?
191: Belousov-Zhabotinsky oscillator perturbed with cerium: Type 0
or not?
195: Cell cycle dynamics more then branched 1d?
196: Need a modern limit-cycle model of female cycle
219: Chapter 7's 2-pulse experiments never yet attempted using adult
flies
219: Confirm repelling limit cycle in Avena seedlings
223: In any organism find out if 0* is only scattering or also cell-level
attenuation
225: Are phase and amplitude enough, or are there other degrees of
freedom?
225: Bilaterally symmetric oscillator pair model realistic in Drosophila?
226: Does critical stimulus strength S* increase with improved synchronization?
226: Histologically examine fly brain clock during phase singularity
227: Gonyaulax, Euglena phase singularity = population scatter? Test
by sedimentation
227: Do they interact through the suspending medium?
228: Are cellular circadian clocks individually photosensitive in big
opaque animals?
228: Are individual parts of fungus mycelium phaseless during collective
phase singularity?
231: What fancier modes of syntal are available to limit-cycle populations
than simple clock populations?
233: Influence-Sensitivity analysis never yet applied to limit-cycle
populations (as on p126)
235: as on p124
236: SCN tissue culture: range of native periods, strength of mutual
coupling? also p366
236: What are the putative pheromones of McClintock?
236: Hydrostatic syntal among nephrons?
245: Are there experimental instances of phase-wave singularity in
oscillating media?
Affirmed by example in the
BZ medium 26 Oct 2001: Vanag and Epstein, Science 294, 835.
247: No further work on pattern polymorphism in Chaetomium, Penicillium?
also p544
248-49: Testable implications for polymorphism statistics in Nectria;
also p544
255: Rotating epidemics? This HAS been shown numerically, e.g.,
Savill et al (1997) J.Theor.Biol 188, 11 and,Gurney et al. (1998) Ecology
79, 2516. No evidence yet in nature.
255: How fast is intracellular diffusion in Nectria?
256: Hypermeander not yet observed in lab gels; also p459
262: Traffic jams etc commonplace in wavetrains of CHD chemically excitable
media?
confirmed by Hamik #5545
(2001) J Phys Chem 105, 6144 in another recipe
265: "B-kinetics" not marginally excitable, Q=27 not big, yet way out
on flat dispersion curve ??
286: No instance of rotors rescaling with temperature, all reaction
temperature coefficients equal?
291: No instance of morphogenetic gradients running in a closed ring?
293: What is hyper-meander? also p71, 390, 460
296: Scroll ring in Dictyostelium?
297: No stable organizing centers yet reported from labs
297: No linked or knotted vortex rings yet reported from fluid experiments
299: Question lingering from 1978 long ago answered: Yes, Yes, No;
and "not yet undertaken"
is obsolete: plenty such numerical experiments using CGLE oscillator field
300: No reports yet of vortex filaments in tissues of biological oscillators
301-02: Really vortex filaments in 3d phosphorus vapor?
307: Circadian clock really has only two dominant state variables (=
dimensions for dynamics)? see 310-11
310: Phase singularity in Sarcophaga mere scattering of phases, or
zeroing of amplitude in each cell?
310: No experiments yet reported to classify stimuli restarting clocks
from rest according to resulting phase
311: None such yet reported from spatial version of same experiment
311: Does glucose serve also to reinitiate glycolytic oscillation at
the predicted phase?
312: No repeat of spatial phase singularity experiments in Neurospora,
using a strain that doesn't stop growing; also p544
314: No experiments yet reported bearing on putative circular state
space in developmental positional information
320: No follow-up in Bouligand's more refined interpretation of single
spiral artifact in arthropod cuticle
321: Is cardiac tissue abnormal, in which phase singularity seems a
non-excited state?
324: Are fibrillation's multiple wavelets the cause or the consequence
of sustained arrhythmicity?
Chen et al 2000, Zaitsev
et al 2000 seem to confirm they are consequence, the source being vortex
filament
325: Is a dynamical instability of calcium distribution responsible
for inhomogeneities prerequisite to fibrillation?
326: Are parametric inhomogeneities the sine-qua-non of fibrillation
in normal heart muscle?
327: In Ginzburg-Landau oscillator fields do rotors meander in the
familiar ways ?
328: Can a rotor or vortex filament react to incoming periodic wave
train by moving toward its source?
Yes, in marginally excitable
media as theorized in Ermakova et al 1986 and Vinson 1998
329: Is the "rotor" a superfluous reification of the "endpoint of an
activation front" ?
331: Are there stable multi-armed rotors except in discontinuous or
marginally excitable media? also p449
332: Mechanism of persistent organizing centers really entail "slapping"
? also p472. See 2002 Colston paper.
335: Do discontinuities in phase resetting of female cycle, cell cycle
reflect codim-1 phase singularities?
336: What medical periodicities represent oscillators switched on by
a stimulus?
346: Is there anything in EEG rhythms to suggest a mutually synchronizing
population of oscillators?
353: Needed: a reliable models of glycolytic regulation in the intact
cell, also on p366
358: Spiral waves in yeast extract: how can period exceed that of local
bulk oscillation??
364: What is the density threshold for syntalansis in yeast cell suspensions?
also on p126, 366
365: Two tests for acetaldehyde as agent of mutual synchronization
between yeast cells: no lab report yet
366: Needed: a reliable models of glycolytic regulation in the intact
cell, also on p353
366: What is the density threshold for syntal in SCN neuron populations?
also p126, 236
and in Vanag's oil suspensions
of BZ oscillator, Science 294, 835 (2001)
369: How to relate mathematical models of BZ reaction to corresponding
chemical recipes?? also p467
382: How to relate theoretical minimum size for pattern formation to
observed rotor core size?
390: Why is rotor period ~ meander period and what is hypermeander?
also p71, 293, 460
400: Are vycor experiments covertly three-dimensional and so misinterpreted?
Rudovic et al 1999 J Phys
Chem raise similar spectre about comparable Turing pattern expts
401: How to compare bifurcation loci of 2d simulations to vycor experiments?
408, 410: True that pacemakers in chemically excitable media always
have longer period than rotor?
409: Pacemaker a catalyst, not a reactant? What are pacemakers? Recover
after suppression by light?
413: What possible mechanism could account for precision of single
pacemaker cell in electric fish?
420: How many equilibrium points in the dynamics of cat respiratory
oscillator?
435: Can cardiac pacemaker cells in tissue culture be related quantitatively
to theories of syntalansis?
435: Can rotors be induced deliberately in petri-dish cultures of slime
mold cells?
445: Slime mold singular filament ever close in a ring? with twist?
also p69
448: How can a moving activation front catch up to another then both
vanish? (slime mold)
449: Are there stable multi-armed rotors except in discontinuous or
marginally excitable media? also 331
459: Hypermeander not yet reported from experiments using chemically
excitable media (also p256, 465)
459: Are meander and hypermeander inevitable as activation risetime
shortens (at fixed recovery time)?
460: What determines whether a rotor rolls or skids along a wall (or
neither)?
460: Laboratory media with two alternative stable rotor periods have
not yet been reported
460: There seems to be no analytical theory of criteria for stable
propagation
460 and 462: What is hypermeander? also p71, 293, 390
462-65: Is hypermeander "chaotic"?
465: Hypermeander not yet reported from experiments using chemically
excitable media (also p256, 459)
465-66: Do the distinct modes within hypermeander lock together when
frequencies converge?
466: Are the peculiarities of hypermeander an artifact of suppressing
curvature and twist in 2d?
467: How to relate mathematical models of BZ reaction to corresponding
chemical recipes?? also p369
468: Curvature-induced binormal "drift" of singular filaments not yet
unambiguously observed in laboratory
469: Is there another case of stable scroll rings, circular and twist-free?
472: Stable scroll rings not yet reported in any laboratory preparation
472: "Slapping" mechanisms not yet analytically modeled nor even measured
in numerical experiments.
also p332, and see
2002 Colston Society paper
473: Do organizing centers scale in proportion to spiral wavelength
in any two media with same Q?
and (unflagged) can filaments
really pull through one another, not just once reconnect and separate?
479: Can meander stay synchronous along a curved filament in 3d?
479: Sproing instability not yet unambiguously demonstrated in laboratory
preparations
480: Sproing mechanism in excitable media not yet analytically derived
481: Effect of twist on rotor period not yet quantified from chemical
or numerical experiments
482: Stable organizing centers capable of "plastic" deformation, i.e.,
no unique asymptotic shape? also p487
483: Vibrating (damped) elliptical rings: hardly expected, mechanism
never investigated
484: Alternative solutions for twisted rings, depending on initial
conditions?
485: What mechanisms stabilize the trefoil-knotted organizing center?
485: Do all stable organizing centers move like rotating, translating
rigid bodies?
487: Stable organizing centers capable of "plastic" deformation, i.e.,
no unique asymptotic shape? also p482
491: How to expose the mechanisms of sproing and of vortex ring stability?
492: What would happen if numerical experiments were redone/extended
in today's faster computers?
Paul Sutcliffe is doing
it, Fall 2001
492: Are there stable organizing centers in CGLE media? also p299
492: Would there still be stable organizing centers were the medium
dynamically more complicated?
493: Do the complicated doing of modern electrophysiological models
correspond to real events in heart?
508: How does the evolution of APD(DI) curve slope during rapid activations
relate to evolution or snuffing out of fibrillation?
508: What is the role of thickness in facilitating transition from
tachycardia to fibrillation?
528: Planned experiment to detect scroll ring in left ventricular wall
not yet carried out
528: Numerical artifact in computing rotational anisotropy never isolated.
Does it still afflict modeling?
529: Does fibrillation arise more readily in heart walls of a certain
"optimal" thickness?
530: Why does excitation erupt to heart surface during chronic fibrillation
at the observed special density in time-space?
535: Exactly how does DC electric shock erase fibrillation?
537: Is there an internal clock driving the rhythm of banding as fungus
mycelia expand?
544: Testable implications for polymorphism statistics in Nectria;
also p248-49
544: No further work on pattern polymorphism in Chaetomium, Penicillium?
also p247
544: No repeat of spatial phase singularity experiments in Neurospora,
using a strain that doesn't stop growing; also p312
545: Why the shortage of decisive work on consequences of daily and
seasonal periodic drive on ecosystems?
548: What became of decisive experimental counter-examples against
epigenetic mechanisms for circadian clocks?
548: Is Neurospora's clock mechanism analogous to Drosophila's?
551: What is the maximum extinction coefficient of cryptochrome, and
how is it organized in cells? also p603
551: How would deuterium affect the recently discovered biochemical
mechanism of the clock?
556: Are there no circadian clocks in bacteria other than cyanobacteria?
also p580
560: No dependence of sleep onset on prior anything? also p08
567: Why do circadian clocks spontaneously begin the next cycle? Never
selected for, presumably...
579: If Gonyaulax cells do not mutually synchronize, why does the collective
period stay so precise?
580: Are there no circadian clocks in bacteria other than cyanobacteria?
Could artificial selection create some?
583: Do quantitative models of the known mechanism of circadian clocks
exhibit a limit cycle?
589-90: Need laboratory
tests for mutual coupling of clocks in cell suspensions or tissue culture
591: Pinwheel experiment on a sheet of circadian oscillators can give
clear Yes/No answer about coupling
594: Testable implication of theory of rhythmic gating awaits modest
laboratory effort
601: How many TIM-PER dimers, and how many CRY photoreceptors in one
cell?
602-03: Does wild-type melanogaster show the slow dark-adaptation familiar
in D. pseudoobscura? Is dark adaptation about continuous photo-kinetics
of cryptochrome? What is its extinction coefficient? also p 551
633: Still no Type 0 resetting, no phase singularities in the cell
cycle?
638: Ostensible experimental counter-examples to "simple clock" still
valid after 40 years?
641: Can the clock-mediated phase singularity in cell division timing
be used to infer anything at all?
642: Do gating models become hopelessly complicated if there are more
rates thresholds? Sufficiently so to be indistinguishable from "stochastic"
influences as presently conceived? Is cell division still just as unpredictable
in the absence of circadian rhythms?
647: Is it time to do an explicit model of chemical interaction among
Physarum plasmodia at distinct stages of the division cycle?
648: Are there a phase singularity and Type 0 resetting in the Physarum
nuclear division clock?
652: Do ovaries alternative in selection of follicles?
655: Is there a phaseless set in the female cycle?
657: Does the ungulate estrus cycle exhibit Type 0 resetting?
659: Has the circadian clock no influence on menstrual timing in humans?