Information Package / Course Catalogue
Food Process Analysis and Modelling
Course Code: GMP611
Course Type: Area Elective
Couse Group: Third Cycle (Doctorate Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 3
Prt.: 0
Credit: 3
Lab: 0
ECTS: 8
Objectives of the Course

In this course, aim is to give the students the ability of analysing, mathematical modelling and optimization of food process operation using data obtained from those operations

Course Content

Mathematical Modeling. Definition of modeling, solution of nonlinear equations and linear systems, interpolation and curve fitting, empirical models and their solutions, Fundamental principles of modeling and application to simple systems; differential equation applications, continuity, energy and motion equations, simultaneous mass and heat balances, modeling of mass transfer and diffusion, Kinetic Modeling; Rate constant, effect of temperature, activation energy, enzymatic reaction kinetics, nutrient loss and degradation kinetics, microbial kinetics and kinetics of microbial death, Mathematical modeling in Food Engineering operations: Thermal process, evaporation, freezing, drying, fat oxidation, filtration, ultrafiltration, packaging and baking, Optimization; Classical optimization, single and multivariate optimization, Lagrange multipliers, Search techniques, direct search, univariate search, multivariate search, Powell’s method, Response Surface Methodology (RSM)

Name of Lecturer(s)
Learning Outcomes
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Recommended or Required Reading
Weekly Detailed Course Contents
Week 1 - Theoretical
Mathematical Modeling. Definition of modeling, solution of nonlinear equations and linear systems, interpolation and curve fitting, emprical models and their solutions
Week 2 - Theoretical
Fundamental principles of modeling and application to simple systems; differential equation applications, continuity, energy and motion equations
Week 3 - Theoretical
Simultaneous mass and heat balances, modeling of mass transfer and diffusion
Week 4 - Theoretical
Mathematical modeling in Food Engineering operations: Examples for thermal process, evaporation, freezing, drying, oil oxidation, filtration, ultrafiltration, packaging, and baking
Week 5 - Theoretical
Mathematical modeling in Food Engineering operations: Examples for thermal process, evaporation, freezing, drying, oil oxidation, filtration, ultrafiltration, packaging, and baking
Week 6 - Theoretical
Kinetic Modeling; Rate constant, effect of temperature, activation energy, enzymatic reaction kinetics
Week 7 - Theoretical
Nutrient loss and degradation kinetics, microbial kinetics and kinetics of microbial death
Week 8 - Intermediate Exam
Midterm exam
Week 9 - Theoretical
Concept of optimization, the general method for solution of optimization problems.
Week 10 - Theoretical
Classical optimization, continuity of a function, optimization of single and multivariable functions, Method of Lagrange multipliers for the functions under restriction.
Week 11 - Theoretical
Search Techniques, Direct Search, Grid – Fibonacci – Golden Section search techniques, Quadratic search techniques (Davies-Swan-Campey and Powell methods
Week 12 - Theoretical
Multivariable Search Techniques (Alternating variable, Pattern search and Powell methods)
Week 13 - Theoretical
Linear Programming
Week 14 - Theoretical
The general method for experimental design, Responce Surface Methodology (RSM)
Week 15 - Theoretical
Industrial applications of optimization and process control standpoint
Week 16 - Final Exam
Final Exam
Assessment Methods and Criteria
Type of AssessmentCountPercent
Assignment1%15
Project1%15
Midterm Examination1%30
Final Examination1%40
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory1463126
Assignment120121
Project125126
Midterm Examination110111
Final Examination115116
TOTAL WORKLOAD (hours)200
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
OÇ-1
5
OÇ-2
5
OÇ-3
5
OÇ-4
5
5
OÇ-5
5
5
5
OÇ-6
5
5
5
5
OÇ-7
5
5
OÇ-8
1
OÇ-9
1
OÇ-10
1
Adnan Menderes University - Information Package / Course Catalogue
2026