Parameter Estimation in the Mathematical Model of Bacterial Colony Patterns in Symmetry Domain

被引：1

作者：

Brociek, Rafal ^{[1
]}

Wajda, Agata ^{[2
]}

Capizzi, Giacomo ^{[3
]}

Slota, Damian ^{[1
]}

机构：

[1] Silesian Tech Univ, Fac Appl Math, Dept Math Applicat & Methods Artificial Intelligen, PL-44100 Gliwice, Poland

[2] Inst Energy & Fuel Proc Technol, PL-41803 Zabrze, Poland

[3] Univ Catania, Dept Elect Elect & Informat Engn, Viale A Doria 6, I-95125 Catania, Italy

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 04期

关键词：

inverse problem; mathematical modeling; bacterial colony pattern; diffusion coefficient; INVERSE PROBLEMS; GROWTH;

D O I：

10.3390/sym15040782

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The paper presents a solution to the problem related to the reconstruction of parameters in the mathematical model of bacterial colony patterns in a domain with symmetry. The inverse problem consists of determining the value of the diffusion coefficient of active bacteria. The model describing the distribution of active bacteria in a given region, as well as the concentration of the substrate over time is considered. Such a model consists of a system of partial differential equations with appropriate initial-boundary conditions. The finite element method was used to solve the direct problem. However, the Fibonacci search method was used to minimize the functional description of the error of the approximate solution.

引用

页数：14

共 35 条

[1] Identification of parameters in systems biology [J].

Abdulla, Ugur G. ;

Poteau, Roby .

MATHEMATICAL BIOSCIENCES, 2018, 305 :133-145

[2]

[Anonymous], 2017, ELEMENTARY INTRO WOL

[3] Phage_UniR_LGBM: Phage Virion Proteins Classification with UniRep Features and LightGBM Model [J].

Bao, Wenzheng ;

Cui, Qingyu ;

Chen, Baitong ;

Yang, Bin .

COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE, 2022, 2022

[4] 2-hydr_Ensemble: Lysine 2-hydroxyisobutyrylation identification with ensemble method [J].

Bao, Wenzheng ;

Yang, Bin ;

Chen, Baitong .

CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS, 2021, 215

[5]

Barnsley MichaelF., 1993, Fractals everywhere, V2nd

[6] Estimation of aerothermal heating for a thermal protection system with temperature dependent material properties [J].

Brociek, Rafal ;

Hetmaniok, Edyta ;

Napoli, Christian ;

Capizzi, Giacomo ;

Slota, Damian .

INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2023, 188

[7] Reconstruction of aerothermal heating for the thermal protection system of a reusable launch vehicle [J].

Brociek, Rafal ;

Hetmaniok, Edyta ;

Slota, Damian .

APPLIED THERMAL ENGINEERING, 2023, 219

[8] Comparison of mathematical models with fractional derivative for the heat conduction inverse problem based on the measurements of temperature in porous aluminum [J].

Brociek, Rafal ;

Slota, Damian ;

Krol, Mariusz ;

Matula, Grzegorz ;

Kwasny, Waldemar .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2019, 143

[9] Modeling of Heat Distribution in Porous Aluminum Using Fractional Differential Equation [J].

Brociek, Rafal ;

Slota, Damian ;

Krol, Mariusz ;

Matula, Grzegorz ;

Kwasny, Waldemar .

FRACTAL AND FRACTIONAL, 2017, 1 (01) :1-9

[10]

Brzozowski RS, 2020, MSPHERE, V5, DOI 10.1128/mSphere.00655-20

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