Results 31 to 40 of about 1,656,816 (274)
The Euler-Minding series for branched continued fractions
For suitable x(k) (k\(\geq 1)\) and y(k) (k\(\geq 0)\) denote the continued fraction \(y(0)+x(1)/y(1)+...x(j)/y(j)\) by \(K\{\) x(k),y(k);j\(\}\). With twin sequences a(i,k) (k\(\geq 1)\) and b(i,k) (k\(\geq 0)\) prescribed for \(i\geq 0\), let \(C(i,j)=K\{a(i,k),b(i,k);j\}\).
openaire +3 more sources
The paper deals with the problem of expansion of the ratios of the confluent hypergeometric function of N variables ΦD(N)(a,b¯;c;z¯) into the branched continued fractions (BCF) of the general form with N branches of branching and investigates the ...
Tamara Antonova +2 more
doaj +1 more source
Computer methods for calculating tuple solutions of polynomial matrix equations [PDF]
Schemes are presented for calculating tuples of solutions of matrix polynomial equations using continued fractions. Despite the fact that the simplest matrix equations were solved in the second half of the 19th century, and the problem of multiplier ...
J. Dorożyński, M. Nedashkovskyy
doaj +1 more source
ABSTRACT Background Therapeutic apheresis (TA) is an established treatment modality for hematologic, neurologic, and immunologic disorders, yet access remains severely limited in sub‐Saharan Africa. Donor apheresis, including platelet apheresis collection from healthy donors, represents an important complementary modality supporting blood product ...
Nosa Bazuaye +33 more
wiley +1 more source
Modelling stem cell differentiation related processes—A practical overview for biologists
Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
wiley +1 more source
Liver organoids: modelling complexity in homeostasis and disease
Studying liver in vitro has been challenging because simple 2D cell cultures fail to capture liver's cellular and architectural complexity. To bridge this gap, scientists increasingly use organoids, 3D liver models which better mimic liver composition and function. This review examines recent advances in liver organoid complexity and realism, discusses
Anna M. Dowbaj, Meritxell Huch
wiley +1 more source
Continued fraction solution linear differential equations [PDF]
Murphy, JA, Drew, DM
core +6 more sources
In this paper, we consider some numerical aspects of branched continued fractions as special families of functions to represent and expand analytical functions of several complex variables, including generalizations of hypergeometric functions.
R. Dmytryshyn +3 more
doaj +1 more source
The ubiquitin system in normal and infected germinal center B cells
The ubiquitin system plays a central role in germinal center (GC) B cells, influencing differentiation to long‐lived memory B cells. Oncogenic gammaherpesviruses gain access to memory B cells by establishing latency in GC B cells. Mapping ubiquitin mechanisms in normal and infected GC B cells will define specific molecular circuits in B cells germane ...
Destiny Davis +2 more
wiley +1 more source
On the convergence of multidimensional regular C-fractions with independent variables
In this paper, we investigate the convergence of multidimensional regular С-fractions with independent variables, which are a multidimensional generalization of regular С-fractions.
R.I. Dmytryshyn
doaj +1 more source

