A Maturity|Structured Mathematical Model of Mutation

A Maturity-Structured Mathematical Model of Mutation, Acquisition in ...

A Maturity-Structured Mathematical Model of Mutation, Acquisition in the Absence of Homeostatic Regulation ... Most mammalian tissues are organized into a ...

A Maturity-Structured Mathematical Model of Mutation, Acquisition in ...

Here, a maturity-structured mathematical model is developed to investigate the sequential order of mutations that causes the fastest emergence of cancer stem ...

[PDF] A Maturity-Structured Mathematical Model of Mutation ...

A maturity-structured mathematical model is developed to investigate the sequential order of mutations that causes the fastest emergence of cancer stem ...

Steady states of a selection-mutation model for an age structured ...

We introduce a selection-mutation model for an age and age at maturity structured population. The age at maturity is considered an evolutionary trait on ...

A Maturity-Structured Mathematical Model of Mutation, Acquisition in ...

A Maturity-Structured Mathematical Model of Mutation, Acquisition in the Absence of Homeostatic Regulation · List of references · Publications that cite this ...

Mathematical modeling of mutation acquisition in hierarchical tissues

... Mathematical modeling of mutation ... 2021. TLDR. A maturity based mathematical model with feedback regulation is formulated for healthy and mutated ...

Mathematical properties of mutation-selection models - SpringerLink

I review the fundamental results about existence and stability of equilibria for classical mutation-selection models with a finite number of alleles, for models ...

An exactly solvable, spatial model of mutation accumulation in cancer

Here we describe an exactly solvable mathematical model of a tumour featuring replication, mutation and local migration of cancer cells. The model predicts a ...

a generalized model of mutation-selection balance with applications ...

The whole mathematical theory of natural selection may be divided into three parts: positive mutations, neutral mutations, and deleterious mutations. Positive.

Analytic approach for age-structured populations with genetic ...

A general mathematical formulation for the age-structured population model with genetic mutations is given. The probability of genetic mutations are ...

Mutation and selection in age-structured populations 1 Introduction

Evans, and Kenneth W. Wachter. A generalized model of mutation-selection balance with applications to aging. Adv. Appl. Math., 35(1):16– ...

STATIONARY SOLUTIONS OF A SELECTION MUTATION MODEL

A selection mutation equations model for the distribution of individuals with respect to the age at maturity is considered. In this model we assume that a ...

A singular limit for an age structured mutation problem - PubMed

The spread of a particular trait in a cell population often is modelled by an appropriate system of ordinary differential equations describing how the sizes ...

A mathematical formalism for natural selection with arbitrary spatial ...

Each model within this class is represented by a set of genetic sites (parti- tioned into individuals), a replacement rule, a mutation probability, and a.

Mathematical Modeling of Evolution of Horizontally Transferred Genes

The present model is a generalization of the stochastic model described by Berg and Kurland (2002). The model includes five parameters: inactivating mutation ...

This Mutation Math Shows How Life Keeps on Evolving | WIRED

New results emerging from graph theory prove that the way a population is organized can guarantee the eventual triumph of natural selection—or ...

A Mathematical Model of Cancer Stem Cell Lineage Population ...

Also, according to the model, the nature of mutation accumulation is sufficient to explain the faster growth of the cancer cell population. However, numerical ...

Mathematical Biology - Physics

We examine the dynamics of an age-structured population model in which the life expectancy of an offspring may be mutated with respect to that of the parent.

[0710.4997] Age-structured Trait Substitution Sequence Process ...

Abstract: We are interested in a stochastic model of trait and age-structured population undergoing mutation and selection. We start with a ...

Steady states of a selection-mutation model for an age structured ...

One of the most active topics in Mathematical Biology is structured population dynamics which consists in models for populations where individual differences ...