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This study investigates a fractional partial differential equation in the field of mathematical biology. The Bernoulli (G'⁄G)-expansion method is applied to solve this class of fractional-order nonlinear differential e...

Materias / palabras clave: Science: Biology (General); Science: Mathematics

Mathematics and computer science play a pivotal role in modern biology. Dynamical models based on differential equations are particularly adapted to describe dynamic behaviors of many biological processes. However, tradi...

Materias / palabras clave: Science: Biology (General); Science: Mathematics: Probabilities. Mathematical statistics

Abstract Background Social mixing studies provide crucial evidence for parameterizing mathematical models of infectious disease transmission, and their validity for use in models is dependent on their study design and ho...

Effective management of natural populations depends heavily on the capacity for understanding and predicting their habitat requirements. For endemic and threatened species like the mara (Dolichotis patagonum), this infor...

Microalgae are producer organisms that have been used as bioindicators since the 19th century. Microalgae are characterized by their rapid reproduction, short life cycle, and easy collection. Although their...

Management of seagrass ecosystem requires availability of information on the actual condition of seagrass coverage. Remote sensing technology for seagrass mapping has been used to detect the presence of seagrass coverage...

Although vaccination remains one of the most impactful interventions in contemporary public health, with consistent and widely documented reductions in morbidity and mortality, the traditional empirical development of va...

Abstract Here, we review mathematical models of epigenetic memory, focusing on chromatin modifications as key mechanisms to achieve long-term maintenance of epigenetic states. After reviewing the main stochastic modeling...

A mathematical model for the evolutionary change of restriction sites in mitochondrial DNA is developed. Formulas based on this model are presented for estimating the number of nucleotide substitutions between two popula...

Use of the real-time polymerase chain reaction (PCR) to amplify cDNA products reverse transcribed from mRNA is on the way to becoming a routine tool in molecular biology to study low abundance gene expression. Real-time ...

A method is described for the minimization of a function of n variables, which depends on the comparison of function values at the (n + 1) vertices of a general simplex, followed by the replacement of the vertex with the...

Abstract This paper discusses the applicability of statistics to a wide field of problems. Examples of simple and complex distributions are given.

Materias / palabras clave: Support vector machine; Computer science; Regularization (linguistics); Quadratic programming; Perspective (graphical); Machine learning; Relevance vector machine; Function (biology); Regular polygon; Artificial intellig...

An efficient method for the calculation of the interactions of a 2m factorial experiment was introduced by Yates and is widely known by his name.The generalization to 3m was given by Box et al. [1].Good [2] generalized t...

Materias / palabras clave: Conservation law; Riemann hypothesis; Mathematics; Property (philosophy); Riemann problem; Sequence (biology); Construct (python library); Applied mathematics; Matrix (chemical analysis); Order (exchange); Mathematical a...

Materias / palabras clave: Model predictive control; Optimal control; Control theory (sociology); Stability (learning theory); Sequence (biology); Mathematical optimization; Horizon; Nonlinear system; Control (management); Time horizon; Mathematic...

Materias / palabras clave: Hamilton–Jacobi equation; Algorithm; Curvature; Mathematics; Mean curvature flow; Function (biology); Conservation law; Mean curvature; Mathematical analysis; Geometry; Evolutionary biology; Biology

Abstract A procedure for forming hierarchical groups of mutually exclusive subsets, each of which has members that are maximally similar with respect to specified characteristics, is suggested for use in large-scale (n >...

The Interactive Tree Of Life (https://itol.embl.de) is an online tool for the display, manipulation and annotation of phylogenetic and other trees. It is freely available and open to everyone. iTOL version 5 introduces a...

Decomposition is a basic strategy in traditional multiobjective optimization. However, it has not yet been widely used in multiobjective evolutionary optimization. This paper proposes a multiobjective evolutionary algori...