Results 111 to 120 of about 6,187,846 (396)
Trigonometric-type properties and the parity of balancing, Lucas-balancing, cobalancing and Lucas-cobalancing numbers [PDF]
Balancing numbers $n$ are originally defined as the solution of the Diophantine equation $1+2+\cdots+(n-1)=(n+1)+\cdots+(n+r)$, where $r$ is called the balancer corresponding to the balancing number $n$. By slightly modifying, $n$ is the cobalancing number with the cobalancer $r$ if $1+2+\cdots+n=(n+1)+\cdots+(n+r)$.
arxiv
We introduce an immunohistochemistry method to measure autophagy flux, highlighting the active degradation and recycling of cellular waste. This cost‐effective approach uses tissue samples to track key markers like LC3 and SQSTM1, revealing how cells maintain health or respond to diseases such as cancer. It bridges the gap between research and clinical
Shahla Shojaei+6 more
wiley +1 more source
Inventory forecast of underground gas storage based on modified material balance equation
In view of the gap between the gas storage inventory forecasted by the traditional material balance equation and the actual inventory, experiments of displacing gas by water and displacing water by gas were carried out, and the modified material balance ...
Ligen TANG+3 more
doaj
Balanced binary trees in the Tamari lattice [PDF]
We show that the set of balanced binary trees is closed by interval in the Tamari lattice. We establish that the intervals [T0, T1] where T0 and T1 are balanced trees are isomorphic as posets to a hypercube. We introduce tree patterns and synchronous grammars to get a functional equation of the generating series enumerating balanced tree intervals.
arxiv
Measuring AMP‐activated protein kinase (AMPK) activity in vitro is crucial for testing AMPK activators or inhibitors with therapeutic potential. Here, we report an enzyme‐linked immunosorbent assay (ELISA)‐based AMPK activity assay with simple steps and high sensitivity, which offers a simple, robust, and cost‐effective alternative to traditional ...
Trezze P. Nguyen, Shangze Lyu, Yang Liu
wiley +1 more source
Disappearance of Transverse Flow in Central Collisions for Heavier Nuclei
For the first time, mass dependence of balance energy only for heavier systems has been studied. Our results are in excellent agreement with the data which allow us to predict the balance energy of U+U, for the first time, around 37-39 MeV/nucleon.
Aichelin+42 more
core +1 more source
ICP34.5 is one of the most important antihost response proteins. The saRNA‐encoding HSV‐1 neurovirulence protein ICP34.5 clearly mediated the eukaryotic initiation factor 2 alpha subunit (eIF2α) dephosphorylation and significant suppression of innate immune responses in vitro, leading to enhanced expression of the saRNA‐encoded gene.
Xuemin Lu+6 more
wiley +1 more source
Chebyshev Spectral Collocation Method for Population Balance Equation in Crystallization
The population balance equation (PBE) is the main governing equation for modeling dynamic crystallization behavior. In the view of mathematics, PBE is a convection–reaction equation whose strong hyperbolic property may challenge numerical methods ...
Chunlei Ruan
doaj +1 more source
From cellular properties to population asymptotics in the Population Balance Equation
Proliferating cell populations at steady state growth often exhibit broad protein distributions with exponential tails. The sources of this variation and its universality are of much theoretical interest.
C. M. Bender+3 more
core +1 more source
Appearance of Balancing and related number sequences in steady state probabilities of some Markov chains [PDF]
Balancing and Lucas-balancing numbers are solutions of a Diophantine equation and satisfy a second order homogeneous recurrence relation. Interestingly, these numbers can be seen as numerators and denominators in the steady state probabilities of a class of transition probability matrices of Markov chains. An identity relating the balancing numbers and
arxiv