Results 41 to 50 of about 75,572 (265)
Diversity and complexity in neural organoids
FEBS Letters, EarlyView.Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley +1 more source
Dissecting the Stanley partition function
Journal of Combinatorial Theory, Series A, 2005 Let p(n) denote the number of unrestricted partitions of n. For i=0, 2, let p[i](n) denote the number of partitions pi of n such that O(pi) - O(pi') = i mod 4. Here O(pi) denotes the number of odd parts of the partition pi and pi' is the conjugate of pi. R. Stanley [13], [14] derived an infinite product representation for the generating function of p[0]
Department of Mathematics, The University of Florida, Gainsville, FL 32611-8105, USA ( host institution ) +2 more
openaire +3 more sources
FEBS Letters, EarlyView.Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
wiley +1 more source
Modulation of Homer1 EVH1 domain internal dynamics by putative autism‐associated mutations
FEBS Letters, EarlyView.The putative autism‐associated M65I and S97L variants of the EVH1 domain of the postsynaptic scaffold protein Homer1 do not exhibit substantial changes in their overall structure or partner binding. Both of them, but especially the M65I variant, show altered internal dynamics relative to the wild‐type domain on the μs‐ms timescale, indicated by the ...
Fanni Farkas +6 more
wiley +1 more source
European Physical Journal C: Particles and FieldsWe construct the generalized $$\beta $$ β and (q, t)-deformed partition functions through W representations, where the expansions are respectively with respect to the generalized Jack and Macdonald polynomials labeled by N-tuple of Young diagrams.
Fan Liu +3 more
doaj +1 more source
BV formalism and partition functions
SciPost PhysicsThe BV formalism is a well-established method for analyzing symmetries and quantizing field theories. In this paper, we use BV formalism to derive partition functions and the space of gauge invariant operators implementing the equations of motions and ...
Pietro Antonio Grassi, Ondrej Hulik
doaj +1 more source
On a Partition Function of Richard Stanley [PDF]
The Electronic Journal of Combinatorics, 2004 In this paper, we examine partitions $\pi$ classified according to the number $r(\pi)$ of odd parts in $\pi$ and $s(\pi)$ the number of odd parts in $\pi\prime$, the conjugate of $\pi$. The generating function for such partitions is obtained when the parts of $\pi$ are all $\leq N$. From this a variety of corollaries follow including a Ramanujan type
openaire +2 more sources
On the complexity of quantum partition functions
CoRR, 2021 48 pages, 1 figure; v2 fixes a bug in the proof of Theorem 7.
Sergey Bravyi 0001 +3 more
openaire +2 more sources
FEBS Letters, EarlyView.We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
wiley +1 more source
Congruences of the Partition Function
International Mathematics Research Notices, 2010 Let $p(n)$ denote the partition function. In this article, we will show that congruences of the form $$ p(m^j\ell^kn+B)\equiv 0\mod m \text{for all} n\ge 0 $$ exist for all primes $m$ and $\ell$ satisfying $m\ge 13$ and $\ell\neq 2,3,m$. Here the integer $k$ depends on the Hecke eigenvalues of a certain invariant subspace of $S_{m/2-1}(Γ_0(576),χ_{12})$
openaire +2 more sources