Photonics bridges between turbulence and spin glass phenomena in the 2021 Nobel Prize in Physics.

A photonic connection between turbulence and spin glasses has been recently established both theoretically and experimentally using a random fiber laser as a photonic platform. Besides unveiling this interplay, it links the works of two 2021 Nobel laureates in Physics.

Multifractal magnetoconductance fluctuations in mesoscopic systems.

We perform a multifractal detrended fluctuation analysis of the magnetoconductance data of two standard types of mesoscopic systems: a disordered nanowire and a ballistic chaotic billiard, with two different lattice structures. We observe in all cases that multifractality is generally present and that it becomes stronger in the quantum regime of conduction, i.e., when the number of open scattering channels is small. We argue that this behavior originates from correlations induced by the magnetic field, which can be characterized through the distribution of conductance increments in the corresponding "stochastic time series," with the magnetic field playing the role of a fictitious time. More specifically, we show that the distributions of conductance increments are well fitted by q Gaussians and that the value of the parameter q is a useful quantitative measure of multifractality in magnetoconductance fluctuations.

Effects of dexamethasone on growth, viability and ultrastructure of bovine secondary follicles cultured in vitro.

This study aimed to evaluate the effects of dexamethasone on development, viability, antrum formation and ultrastructural integrity of bovine secondary follicles cultured in vitro for 18 days. Bovine ovaries were obtained from slaughterhouses and secondary follicles of ~150-200 µm diameter were isolated and cultured in the laboratory in TCM-199+ alone or supplemented with different concentrations of dexamethasone (1, 10, 100 and 1000 ng/ml). Follicle viability was evaluated after the culture period, using calcein-AM (viable) and ethidium homodimer (nonviable). Follicle diameters and antrum formation were evaluated at days 0, 6, 12 and 18. Before or after in vitro culture, follicles were fixed for histological and ultrastructural analysis. Follicle diameters were evaluated using analysis of variance and Kruskal-Wallis test, while chi-squared test was used to evaluate the percentage of viable follicles and antrum formation (P < 0.05). Follicles cultured for 6 days with all treatments increased their diameters significantly, but there was no significant difference between treatments at the end of the culture period. In vitro cultured follicles showed antral cavity formation at the end of the culture period, but no influence of dexamethasone was seen. Ultrastructural analysis showed that follicles cultured with dexamethasone (1, 10, 100 and 1000 ng/ml) had well preserved granulosa cells. However, oocytes from follicles cultured with 10, 100 or 1000 ng/ml dexamethasone showed signs of degeneration. It can be concluded that follicles cultured in vitro in the presence of dexamethasone demonstrated continuous in vitro growth, but oocytes from follicles cultured with 10, 100 or 1000 ng/ml dexamethasone had poor ultrastructure.

Supplementation of culture medium with knockout serum replacement improves the survival of bovine secondary follicles when compared with other protein sources during in vitro culture.

The present study evaluated the effect of knockout serum replacement (KSR), fetal bovine serum (FBS) and bovine serum albumin (BSA) on the viability and growth of bovine secondary follicles cultured in vitro for 12 days. To this end, secondary follicles were isolated (185-202 µm) and cultured in vitro in TCM-199+ medium supplemented with KSR (5% and 10%), FBS (5% and 10%) or BSA (3 mg/ml) at 38.5°C with 5% CO2 in air. Follicular diameters were evaluated on days 0, 4, 8 and 12. After 12 days of culture, follicular survival analysis was performing by using calcein-AM and ethidium homodimer. Before and after culture, follicles were fixed in paraformaldehyde for histological evaluation. Follicular diameter at different days of culture were compared using the Kruskal-Wallis test, while the percentages of viable follicles were analyzed by chi-squared test (P < 0.05). Results showed that follicles cultured in the presence of KSR at both concentrations presented higher follicular survival rates than those cultured in control medium alone or supplemented with FBS or BSA. Conversely, the presence of KSR, BSA or FBS did not increase follicular diameter after 12 days of culture. Histology analysis showed that, among the tested treatments, follicles cultured in the presence of KSR had preserved rounded oocytes, juxtaposed granulosa cells and intact basal membrane. In conclusion, supplementation of culture medium with KSR increases the follicular survival of bovine secondary follicles cultured in vitro.

Quantum heat distribution in thermal relaxation processes.

We analyze the heat exchange distribution of open quantum systems undergoing a thermal relaxation process with a time-dependent effective temperature. We show that such processes arise, for example, if the dynamics maximizes the entropy production. Using a two-point measurement scheme, we find an expression for the heat moment generating function that depends solely on the system's partition function and on the thermalization function (i.e., the law of cooling) describing the effective temperature. Applications include the relaxation of free bosonic and fermionic modes, for which closed-form expressions for the time-dependent heat distribution function are derived. Multiple free modes with arbitrary dispersion relations are also briefly discussed. In the semiclassical limit our formula agrees with previous results of the literature for the heat distribution of an optically trapped nanoscopic particle far from equilibrium.

Effect of bone morphogenetic proteins 2 and 4 on survival and development of bovine secondary follicles cultured in vitro.

This study evaluated the effect of bone morphogenetic proteins 2 (BMP2) and 4 (BMP2) on follicle development and mRNA expression for GDF9, Cyclin B1, BMPR1A, BMPR1B, BMPRII, FSHR and SMAD1 in bovine secondary follicles cultured in vitro. Isolated secondary follicles were cultured for 18 days in TCM199+ medium alone or supplemented with BMP2 (10 ng/mL), BMP4 (100 ng/mL) or combination of both BMP2 and 4. Real-time PCR was used to analyze mRNA levels in fresh and cultured follicles. After 18 days of culture, follicles cultured with BMP2 alone or with BMP4 alone had larger diameters when compared to control (P < .05). In addition, all treatments promoted antrum formation and maintained a high viability rate through the growing period. The presence of BMP2, BMP4 or both together did not influence mRNA expression for the tested genes. However, the in vitro culture induces down-regulation for mRNA expression of BMPR1A. In conclusion, the addition of BMP2 or BMP4 alone in cultured medium promotes follicular growth and antrum formation in bovine follicles after 18 days of in vitro culture.

Universality classes of fluctuation dynamics in hierarchical complex systems.

A unified approach is proposed to describe the statistics of the short-time dynamics of multiscale complex systems. The probability density function of the relevant time series (signal) is represented as a statistical superposition of a large time-scale distribution weighted by the distribution of certain internal variables that characterize the slowly changing background. The dynamics of the background is formulated as a hierarchical stochastic model whose form is derived from simple physical constraints, which in turn restrict the dynamics to only two possible classes. The probability distributions of both the signal and the background have simple representations in terms of Meijer G functions. The two universality classes for the background dynamics manifest themselves in the signal distribution as two types of tails: power law and stretched exponential, respectively. A detailed analysis of empirical data from classical turbulence and financial markets shows excellent agreement with the theory.

Accelerated growth of bovine preantral follicles in vitro after stimulation with both FSH and BMP-15 is accompanied by ultrastructural changes and increased atresia.

The objective of the present study was to determine the effects of bone morphogenetic protein (BMP)-15 and FSH on the growth, viability, and expression of mRNA for FSH (FSH-R) and BMP-15 (BMPR-IB and BMPR-II) receptors in cultured bovine secondary follicles. Secondary follicles were microdissected and cultured for 12 days in minimum essential medium-α alone or supplemented with BMP-15, sequential FSH, both BMP-15 and FSH, or BMP-15 from days 0 to 6, and FSH from days 7 to 12. Thereafter, the effect of these treatments on the follicular volume, viability, and antrum formation and the levels of mRNA for BMPR-IB, BMPR-II, and FSH-R were assessed. Compared with day 0, the follicles cultured with FSH or BMP-15, or both, had a significant and progressive increase in volume (P < 0.05). However, the follicles cultured for 12 days with both BMP-15 and FSH had the greatest volume and a greater rate of antrum formation than those in control medium, but results similar to those cultured with FSH (days 0 to 12) or BMP-15 (days 0 to 6) and FSH (days 7 to 12). Together with their accelerating effect on in vitro follicle growth, the combination of FSH and BMP-15 induced ultrastructural changes in the cultured follicles and increased atresia. However, adding either BMP-15 or FSH to the culture medium, not only promoted follicular growth and follicular antrum formation, but also maintained follicular viability during culture. Except for follicles cultured in minimal essential medium-α, the levels of mRNA for BMPR-IB were reduced, and the levels of mRNA for FSH-R were significantly greater in follicles cultured in medium supplemented with BMP-15. In conclusion, all in vitro follicle treatments supported growth of bovine preantral follicles; however, adding both BMP-15 and FSH to the culture medium (minimal essential medium-α) for 12 days provided the greatest stimulation. Furthermore, the viability and ultrastructural integrity of cultured follicles were only maintained when only BMP-15 or FSH was added to the culture medium.

Effects of growth differentiation factor-9 and FSH on in vitro development, viability and mRNA expression in bovine preantral follicles.

The present study investigated the role of growth differentiation factor (GDF)-9 and FSH, alone or in combination, on the growth, viability and mRNA expression of FSH receptor, proliferating cell nuclear antigen (PCNA) and proteoglycan-related factors (i.e., hyaluronan synthase (HAS) 1, HAS2, versican, perlecan) in bovine secondary follicles before and after in vitro culture. After 12 days culture, sequential FSH (100 ng mL⁻¹) from Days 0 to 6 and 500 ng mL⁻¹ from Days 7 to 12) increased follicular diameter and resulted in increased antrum formation (P<0.05). Alone, 200 ng mL⁻¹ GDF-9 significantly reduced HAS1 mRNA levels, but increased versican and perlecan mRNA levels in whole follicles, which included the oocyte, theca and granulosa cells. Together, FSH and GDF-9 increased HAS2 and versican (VCAN) mRNA levels, but decreased PCNA mRNA expression, compared with levels in follicles cultured in α-minimum essential medium supplemented with 3.0 mg mL⁻¹ bovine serum albumin, 10 µg mL⁻¹ insulin, 5.5 µg mL⁻¹ transferrin, 5 ng mL⁻¹ selenium, 2 mM glutamine, 2mM hypoxanthine and 50 µg mL⁻¹ ascorbic acid (α-MEM⁺). Comparisons of uncultured (0.2 mm) and α-MEM⁺ cultured follicles revealed that HAS1 mRNA expression was higher, whereas VCAN expression was lower, in cultured follicles (P<0.05). Expression of HAS1, VCAN and perlecan (HSPG2) was higher in cultured than in vivo-grown (0.3 mm) follicles. In conclusion, FSH and/or GDF-9 promote follicular growth and antrum formation. Moreover, GDF-9 stimulates expression of versican and perlecan and interacts positively with FSH to increase HAS2 expression.

Levels of mRNA for bone morphogenetic proteins, their receptors and SMADs in goat ovarian follicles grown in vivo and in vitro.

This study investigated the stability of housekeeping genes (glyceraldehyde-3-phosphate dehydrogenase, ß-tubulin, ß-actin, phosphoglycerate kinase (PGK), 18S rRNA, ubiquitin and ribosomal protein 19) and the levels of mRNA for bone morphogenetic protein-2 (BMP-2), -4 (BMP-4), -6 (BMP-6), -7 (BMP-7) and -15 (BMP-15), their receptors (BMPR-IA, -IB and -II) and Similar to Mothers Against Decapentaplegic (SMADs) (-1, -5 and -8) in goat follicles of 0.2, 0.5 and 1.0mm, as well as in secondary follicles before and after culture for 18 days. ß-tubulin and PGK were the most stable housekeeping genes and the levels of mRNA for BMP-2 in follicles of 0.2mm were higher than in follicles of 0.5 and 1.0mm. For BMP-4, -6 and -7, the highest levels of mRNA were found in follicles of 1.0mm. The expression of BMPR-IB was higher in follicles of 0.2mm, whereas the levels of BMPR-II were higher in follicles of 0.5mm. The levels of mRNA for SMAD-5 were higher in follicles of 0.2mm, whereas SMAD-8 had higher levels in 0.5-mm follicles. After culture, follicles showed increased levels of mRNA for BMP-2 and reduced mRNA for BMP-4, BMP-7, BMPR-IA and SMAD-5. In conclusion, ß-tubulin and PGK are the most stable reference genes, and BMPs, their receptors and SMADs have variable levels of mRNA in the follicular size classes analysed.

Comment on "Two-finger selection theory in the Saffman-Taylor problem".

It is pointed out that the two-parameter family of solutions for the Saffman-Taylor problem recently studied by Magdaleno and Casademunt [Phys. Rev. E 60, R5013 (1999)] does not correspond to two fingers moving in a Hele-Shaw cell with the channel geometry, as was implied in their paper. It is thus clarified that their solution, while correctly describing a periodic array of axisymmetric fingers in an unbounded Hele-Shaw cell, gives rather a central finger flanked by two half-fingers when restricted to a channel with impermeable rectilinear walls. The correct four-parameter family of exact solutions for two unequal fingers in such a channel is presented for the zero surface tension case.

Geometrical model for a particle on a rough inclined surface.

A simple geometrical model is presented for the gravity-driven motion of a single particle on a rough inclined surface. Adopting a simple restitution law for the collisions between the particle and the surface, we arrive at a model in which the dynamics is described by a one-dimensional map. This map is studied in detail and it is shown to exhibit several dynamical regimes (steady state, chaotic behavior, and accelerated motion) as the model parameters vary. A phase diagram showing the corresponding domain of existence for these regimes is presented. The model is also found to be in good qualitative agreement with recent experiments on a ball moving on a rough inclined line.