Mathematical Modeling of Tumors Growth: Competition based on Gompertz model in Two Dimensions
This article studies the competition between cancer cells within the human body depending on Gompertz’s growth. This model depends on two types of cancer cells, which grow to a certain extent, termed the carrying capacity. The carrying capacity is taken into account and defined as the number of can...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Baghdad, College of Science for Women
2024-08-01
|
| Series: | مجلة بغداد للعلوم |
| Subjects: | |
| Online Access: | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/9220 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849415661895286784 |
|---|---|
| author | Aya Khamis Jabbar Hayder M. Al-saedi |
| author_facet | Aya Khamis Jabbar Hayder M. Al-saedi |
| author_sort | Aya Khamis Jabbar |
| collection | DOAJ |
| description |
This article studies the competition between cancer cells within the human body depending on Gompertz’s growth. This model depends on two types of cancer cells, which grow to a certain extent, termed the carrying capacity. The carrying capacity is taken into account and defined as the number of cancer cells in which a certain density of cells eventually reaches stability. When this happens, the growth rate fluctuates, either it goes a little above or a little below the carrying capacity. This paper will cover the mathematical modeling aspects of Gompertz growth and a means to determine how competition creates growth and whether it leads to stability or instability. The paper includes growth equations that show two competing species which lead to extinction, coexistence or the emergence of one species superior to the other.
|
| format | Article |
| id | doaj-art-147d6058136f48468ea7645bf7c4657f |
| institution | Kabale University |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-147d6058136f48468ea7645bf7c4657f2025-08-20T03:33:27ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862024-08-0121810.21123/bsj.2024.9220Mathematical Modeling of Tumors Growth: Competition based on Gompertz model in Two DimensionsAya Khamis Jabbar0https://orcid.org/0009-0000-2379-7778Hayder M. Al-saedi1Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq.Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq. This article studies the competition between cancer cells within the human body depending on Gompertz’s growth. This model depends on two types of cancer cells, which grow to a certain extent, termed the carrying capacity. The carrying capacity is taken into account and defined as the number of cancer cells in which a certain density of cells eventually reaches stability. When this happens, the growth rate fluctuates, either it goes a little above or a little below the carrying capacity. This paper will cover the mathematical modeling aspects of Gompertz growth and a means to determine how competition creates growth and whether it leads to stability or instability. The paper includes growth equations that show two competing species which lead to extinction, coexistence or the emergence of one species superior to the other. https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/9220Competition, Coexistence, Equilibrium points, Extinction, Gompertz model |
| spellingShingle | Aya Khamis Jabbar Hayder M. Al-saedi Mathematical Modeling of Tumors Growth: Competition based on Gompertz model in Two Dimensions مجلة بغداد للعلوم Competition, Coexistence, Equilibrium points, Extinction, Gompertz model |
| title | Mathematical Modeling of Tumors Growth: Competition based on Gompertz model in Two Dimensions |
| title_full | Mathematical Modeling of Tumors Growth: Competition based on Gompertz model in Two Dimensions |
| title_fullStr | Mathematical Modeling of Tumors Growth: Competition based on Gompertz model in Two Dimensions |
| title_full_unstemmed | Mathematical Modeling of Tumors Growth: Competition based on Gompertz model in Two Dimensions |
| title_short | Mathematical Modeling of Tumors Growth: Competition based on Gompertz model in Two Dimensions |
| title_sort | mathematical modeling of tumors growth competition based on gompertz model in two dimensions |
| topic | Competition, Coexistence, Equilibrium points, Extinction, Gompertz model |
| url | https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/9220 |
| work_keys_str_mv | AT ayakhamisjabbar mathematicalmodelingoftumorsgrowthcompetitionbasedongompertzmodelintwodimensions AT haydermalsaedi mathematicalmodelingoftumorsgrowthcompetitionbasedongompertzmodelintwodimensions |