A NEW APPROACH TO KINETIC ANALYSIS AND MATHEMATICAL MODELING ANALYSIS OF BASIC ENZYME REACTIONS : REACTION KINETICS IN ENZYMATIC T-CELL PROLIFERATION

سراج, منصور; رحمانی دوست, محمد حسین; سمرقندیان, سعید

doi:10.22055/jamm.2026.51971.2482

A NEW APPROACH TO KINETIC ANALYSIS AND MATHEMATICAL MODELING ANALYSIS OF BASIC ENZYME REACTIONS : REACTION KINETICS IN ENZYMATIC T-CELL PROLIFERATION

مقالات آماده انتشار

نوع مقاله : مقاله پژوهشی

نویسندگان

منصور سراج ¹

محمد حسین رحمانی دوست ²

سعید سمرقندیان ³

¹ Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz

² University of Neyshabur

³ Department of Medical Physiology, Faculty of Medicine, Neyshabur University of Medical Sciences, Neyshabur, Iran

10.22055/jamm.2026.51971.2482

چکیده

tract. Chemical reactions have main impact in processes of any alive organism.
Their mechanisms have complexity naturally. To do so, development of a simplifying
model is essential to understand the governing hypothesis. Our aim is to present mathematical models for enzymes reactions to show how these models represent biochemical
phenomena. The catalytic process is important in the present research. We study the
comprehensive mathematical modeling framework for basic enzyme kinetics, focusing on
catalytic reactions including influence of activators and inhibitors. We start with the
second order basic enzyme reaction, which governs essential features of a broad class of biochemical processes. We then extend it to another reactions, investigate and apply the biologically relevant systems such as T-cell proliferation reactions. We modify governing systems of ordinary differential equations by help of non dimensionalization method, allowing for new insight into kinetic reactions. Initial value problems are formulated based on realistic biological conditions, and the resulting models are analyzed to reveal concentration profiles of key reactants over time. We adequate the our results by MATLAB software simulation

کلیدواژه‌ها

T-cell Proliferation

Mass Action Law

Enzyme Reaction

Logistic Growth. Received

موضوعات