Momentum transport of morphological instability in fluid displacement with changes in viscosity.

Saffman-Taylor instability exhibits a stepwise unstable morphology from a stable interface to viscous fingering, eventually leading to tip splitting. The nonlinear dynamics of the destabilized interface depends on various flow properties. However, the physicochemical mechanism that determines the transition point of the flow state is unclear. We studied the interfacial instability transition in miscible displacement from a thermodynamic perspective by calculating the momentum transport and entropy production. Using numerical analysis based on Darcy's law coupled with the convection-diffusion equation, the observed flux-dependent flow state transitions were attributed to the selection of the flow state with a higher entropy production.

Causality in Discrete Time Physics Derived from Maupertuis Reduced Action Principle.

Causality describes the process and consequences from an action: a cause has an effect. Causality is preserved in classical physics as well as in special and general theories of relativity. Surprisingly, causality as a relationship between the cause and its effect is in neither of these theories considered a law or a principle. Its existence in physics has even been challenged by prominent opponents in part due to the time symmetric nature of the physical laws. With the use of the reduced action and the least action principle of Maupertuis along with a discrete dynamical time physics yielding an arrow of time, causality is defined as the partial spatial derivative of the reduced action and as such is position- and momentum-dependent and requests the presence of space. With this definition the system evolves from one step to the next without the need of time, while (discrete) time can be reconstructed.

An Overview of Emergent Order in Far-from-Equilibrium Driven Systems: From Kuramoto Oscillators to Rayleigh-Bénard Convection.

Soft-matter systems when driven out of equilibrium often give rise to structures that usually lie in between the macroscopic scale of the material and microscopic scale of its constituents. In this paper we review three such systems, the two-dimensional square-lattice Ising model, the Kuramoto model and the Rayleigh-Bénard convection system which when driven out of equilibrium give rise to emergent spatio-temporal order through self-organization. A common feature of these systems is that the entities that self-organize are coupled to one another in some way, either through local interactions or through a continuous media. Therefore, the general nature of non-equilibrium fluctuations of the intrinsic variables in these systems are found to follow similar trends as order emerges. Through this paper, we attempt to find connections between these systems, and systems in general which give rise to emergent order when driven out of equilibrium. This study, thus acts as a foundation for modeling a complex system as a two-state system, where the states: order and disorder can coexist as the system is driven away from equilibrium.

Pharmacological studies of rhizomes of extract of Cyperus tegetum, emphasized on anticancer, anti-inflammatory and analgesic activity.

ETHNOPHARMACOLOGICAL RELEVANCE: With over 950 species, Cyperus is one of the most promising health boosting genera in the Cyperaceae family. Traditional uses of Cyperus sp. have been described for gastrointestinal blood abnormalities, menstrual irregularities, and inflammatory diseases, among others. Cyperus tegetum Roxb belonging to Cyperaceae family, is used in traditional medicine to treat skin cancers. AIM OF THE STUDY: The present study was carried out to explore the potential effect of the extract of the plant Cyperus tegetum against different pharmacological activity namely inflammatory, analgesic activity as well as skin cancer activity in mice. MATERIALS AND METHODS: Cytotoxicity of the extract was measured by MTT and Live/death assay on HeLa cell line. Skin cancer was induced by 7,12-dimethylbenz(a) anthracene (DMBA) and 12-O-tetradecanoylphorbol-13-acetate (TPA) in mice to measure its effects. RESULT: Stigmasterol and some poly phenolic compounds are identified using HPTLC process from the methanol extract of the rhizome of the plant Cyperus tegetum (CT-II). After confirmation of the presence of different polyphenolic compound and triterpenoids in the extract, it was subject to MTT and Live/death assay on HeLa cell line. From the observation it could be concluded that the IC50 of the extract is 300 µg/ml. Thus, the CTII was evaluated further for its in vivo anticancer property. In the tumorigenesis study, the number of tumor growths, the area and weight of the tumor significantly decreases with increment in the dose of CT-II extract and some elevated enzyme release in renal (creatinine, urea) as well as hepatic (AST, ALT, ALP) enzymes are also controlled with the increased dose of the same extract. The elevated enzyme release may be due to cancer induced rupture of the plasma and cellular damage. This CT-II extract also exhibits some other pharmacological activity like anti-inflammatory and analgesic activity. CONCLUSION: As metabolic activation via carcinogens and inflammation response plays important role in development of cancer, antioxidant, anti-inflammatory and analgesic properties can be correlated with anti-cancer properties. Taken all the above studies, it was illustrated that the extract of Cyperus tegetum might be a promising compound to reduce skin cancer risk.

Coexisting Ordered States, Local Equilibrium-like Domains, and Broken Ergodicity in a Non-turbulent Rayleigh-Bénard Convection at Steady-state.

A challenge in fundamental physics and especially in thermodynamics is to understand emergent order in far-from-equilibrium systems. While at equilibrium, temperature plays the role of a key thermodynamic variable whose uniformity in space and time defines the equilibrium state the system is in, this is not the case in a far-from-equilibrium driven system. When energy flows through a finite system at steady-state, temperature takes on a time-independent but spatially varying character. In this study, the convection patterns of a Rayleigh-Bénard fluid cell at steady-state is used as a prototype system where the temperature profile and fluctuations are measured spatio-temporally. The thermal data is obtained by performing high-resolution real-time infrared calorimetry on the convection system as it is first driven out-of-equilibrium when the power is applied, achieves steady-state, and then as it gradually relaxes back to room temperature equilibrium when the power is removed. Our study provides new experimental data on the non-trivial nature of thermal fluctuations when stable complex convective structures emerge. The thermal analysis of these convective cells at steady-state further yield local equilibrium-like statistics. In conclusion, these results correlate the spatial ordering of the convective cells with the evolution of the system's temperature manifold.

Aging and efficiency in living systems: Complexity, adaptation and self-organization.

Living systems are open, out-of-equilibrium thermodynamic entities, that maintain order by locally reducing their entropy. Aging is a process by which these systems gradually lose their ability to maintain their out-of-equilibrium state, as measured by their free-energy rate density, and hence, their order. Thus, the process of aging reduces the efficiency of those systems, making them fragile and less adaptive to the environmental fluctuations, gradually driving them towards the state of thermodynamic equilibrium. In this paper, we discuss the various metrics that can be used to understand the process of aging from a complexity science perspective. Among all the metrics that we propose, action efficiency, is observed to be of key interest as it can be used to quantify order and self-organization in any physical system. Based upon our arguments, we present the dependency of other metrics on the action efficiency of a system, and also argue as to how each of the metrics, influences all the other system variables. In order to support our claims, we draw parallels between technological progress and biological growth. Such parallels are used to support the universal applicability of the metrics and the methodology presented in this paper. Therefore, the results and the arguments presented in this paper throw light on the finer nuances of the science of aging.

Statistical Analysis of Bus Networks in India.

In this paper, we model the bus networks of six major Indian cities as graphs in L-space, and evaluate their various statistical properties. While airline and railway networks have been extensively studied, a comprehensive study on the structure and growth of bus networks is lacking. In India, where bus transport plays an important role in day-to-day commutation, it is of significant interest to analyze its topological structure and answer basic questions on its evolution, growth, robustness and resiliency. Although the common feature of small-world property is observed, our analysis reveals a wide spectrum of network topologies arising due to significant variation in the degree-distribution patterns in the networks. We also observe that these networks although, robust and resilient to random attacks are particularly degree-sensitive. Unlike real-world networks, such as Internet, WWW and airline, that are virtual, bus networks are physically constrained. Our findings therefore, throw light on the evolution of such geographically and constrained networks that will help us in designing more efficient bus networks in the future.

Interbody Fusion in Low Grade Lumbar Spondylolsithesis: Clinical Outcome Does Not Correalte with Slip Reduction and Neural Foraminal Dimension.

STUDY DESIGN: Prospective nonrandomized study. PURPOSE: To find a possible correlation between clinical outcome and extent of lumbar spondylolisthesis reduction. OVERVIEW OF LITERATURE: There is no consensus in the literature concerning whether a beneficial effect of reduction on outcome can be expected following reduction and surgical fusion for low grade lumbar spondylolisthesis. METHODS: Forty six patients with a mean age of 37.5 years (age, 17-48 years) with isthmic spondylolisthesis underwent interbody fusion with cages with posterior instrumentation (TLIF). Clinical outcome was measured using visual analogue score (VAS) and Oswestry disability index (ODI). Foraminal dimensions and disc heights were measured in standard digital radiographs. These were analyzed at baseline and 1 year after surgery and changes were compared. Radiographic fusion was judged with computed tomography scans at 1 year. RESULTS: Ninety percent of the patients had good or very good clinical results with fusion and instrumentation. Baseline and one-year postoperative mean VAS score was 6.33 (range, 5-8) and 0.76 (range, 0-3), respectively (p=0.004). Baseline and one-year postoperative, mean ODI score was 48 (range, 32-62) and 10 (range, 6-16), respectively (p<0.001). A mean spondylolisthesis slip of 32.1% was reduced to 6.7% at 1 year. Average anterior disc height, posterior disc height, vertical foraminal dimension), and foraminal) diameter improved from 9.8 to 11.7 mm (p=0.005), 4.5 to 5.8 mm (p=0.004), 11.3 to 12.6 mm (p=0.002), and 18.6 to 20.0 mm (p<0.001), respectively. The fusion rate was 75% with TLIF. There is no significant correlation between the improvements of ODI scores and the extent of slip reduction. CONCLUSIONS: Neural decompression and interbody fusion can significantly improve pain and disability but the clinical outcome does not correlate with radiological improvement in the neural foraminal dimension.