Azmy S. Ackleh

Works (6)

Updated: July 5th, 2023 16:04

2007 journal article

Comparison between stochastic and deterministic selection-mutation models

MATHEMATICAL BIOSCIENCES AND ENGINEERING, 4(2), 133–157.

By: A. Ackleh* & S. Hu*

author keywords: selection-mutation models; competitive exclusion; coexistence; stochastic differential equations
MeSH headings : Algorithms; Animals; Biological Evolution; Computer Simulation; Genetic Variation / genetics; Genetics, Population; Humans; Models, Genetic; Models, Statistical; Mutation / genetics; Selection, Genetic; Stochastic Processes
topics (OpenAlex): Evolution and Genetic Dynamics; Mathematical and Theoretical Epidemiology and Ecology Models; Stochastic processes and statistical mechanics
TL;DR: If the differences in the growth-to-mortality ratios are small in the pure selection case, it cannot be determined a priori which subpopulation will have the highest probability of surviving and winning the competition. (via Semantic Scholar)
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UN Sustainable Development Goal Categories
13. Climate Action (Web of Science)
15. Life on Land (Web of Science)
Source: Web Of Science
Added: August 6, 2018

2007 journal article

On a nonlinear size-structured phytoplankton-zooplankton aggregation model

Dynamics of Continuous, Discrete & Impulsive Systems. Series A, Mathematical Analysis, 14(2), 265–285.

By: A. Ackleh, K. Deng & S. Hu

Source: NC State University Libraries
Added: August 6, 2018

2006 journal article

A structured erythropoiesis model with nonlinear cell maturation velocity and hormone decay rate

MATHEMATICAL BIOSCIENCES, 204(1), 21–48.

By: A. Ackleh*, K. Deng*, K. Ito n & J. Thibodeaux*

author keywords: erythropoiesis; structured model; finite difference approximation; existence-uniqueness; behavior of solutions
MeSH headings : Cell Differentiation / physiology; Computer Simulation; Erythroid Precursor Cells / physiology; Erythropoiesis / physiology; Erythropoietin / physiology; Humans; Models, Biological
topics (OpenAlex): Erythrocyte Function and Pathophysiology; Blood properties and coagulation; Blood groups and transfusion
TL;DR: A quasilinear structured model that describes the regulation of erythropoiesis, the process in which red blood cells are developed shows that a velocity of precursor cells maturation rate and a decay rate of the hormone which is an increasing function of the number of precursor Cells have a stabilizing effect on the dynamics of the model. (via Semantic Scholar)
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Source: Web Of Science
Added: August 6, 2018

2002 journal article

A finite difference approximation for a coupled system of nonlinear size-structured populations

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 50(6), 727–748.

By: A. Ackleh*, H. Banks n & K. Deng*

author keywords: coupled system of size-structured populations; existence-uniqueness; finite difference approximation; competition; extinction; survival
topics (OpenAlex): Mathematical Biology Tumor Growth; Erythrocyte Function and Pathophysiology; Mathematical and Theoretical Epidemiology and Ecology Models
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Source: Web Of Science
Added: August 6, 2018

1997 journal article

Modeling aggregation and growth processes in an algal population model: Analysis and computations

JOURNAL OF MATHEMATICAL BIOLOGY, 35(4), 480–502.

By: A. Ackleh n & B. Fitzpatrick n

author keywords: phytoplankton aggregation; size structure population model; numerical approximation
topics (OpenAlex): Coagulation and Flocculation Studies; Marine and coastal ecosystems; Stochastic processes and statistical mechanics
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UN Sustainable Development Goal Categories
14. Life Below Water (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

1997 journal article

Parameter estimation in a structured algal coagulation-fragmentation model

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 28(5), 837–854.

By: A. Ackleh n

author keywords: parameter estimation; phytoplankton; coagulation; fragmentation
topics (OpenAlex): Coagulation and Flocculation Studies; Particle Dynamics in Fluid Flows; Toxic Organic Pollutants Impact
UN Sustainable Development Goals Color Wheel
UN Sustainable Development Goal Categories
2. Zero Hunger (OpenAlex)
13. Climate Action (Web of Science)
14. Life Below Water (Web of Science)
Source: Web Of Science
Added: August 6, 2018

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