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

Saraj, Mansour; Rahmani Doust, Mohammad Hossein; Samarghandian, Saeed

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

Articles in Press

Document Type : Original Paper

Authors

Mansour Saraj ¹

Mohammad Hossein Rahmani Doust ²

Saeed samarghandian ³

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

² Department of Mathematics, University of Neyshabur

³ دانشکده پزشکی دانشگاه پ

10.22055/jamm.2026.51971.2482

Abstract

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

Keywords

T-cell Proliferation

Mass Action Law

Enzyme Reaction

Logistic Growth. Received

Subjects