# Application Of Mathematics In Modeling Tumor Growth

3621 words - 14 pages

IB Mathematics HL Internal AssessmentApplication of Mathematics in Modeling Tumor GrowthBy: Trang LeIntroductionThe use of mathematics in biology is useful for modeling the growth of populations. These populations may consist of cells, drug or viral particles, or multicellular organisms. As a result, models of population growth can be applied to many fields, for example, genetics, oncology, immunology, physiology, and epidemiology. In order to develop a model of the population growth, a variety of mathematical calculations can be used such as differential equations, optimization, probability functions and integration. The subject of this study will be focused on the growth of tumors.Cancer happens when abnormal cells grow and reproduce uncontrollably. Since it is one of the main causes of death in the world, it has been the subject of numerous scientific studies. In a normal healthy human, cells grow, divide, die and replace themselves in a controlled fashion. When cancer occurs, the cells grow and multiply and become a lump, which is known as a tumor. There are two kinds of tumors, benign and malignant. A benign tumor is a non-cancerous growth that lacks the ability to metastasize (attack other cells). A malignant tumor is cancerous and consists of cancer cells that are able to invade neighboring tissues, and even spread to other parts of the body (metastasis).The aim of this assignment is to show how mathematics can be applied to scrutinize many biological processes. Modeling tumor growth is one of the most significant mathematical applications since the model can be used to develop effective cancer treatment to the patient. There is a plethora of mathematical approaches and ways that the process of tumor growth can be modeled. In this assignment, I will only focus on some of the most common theoretical tumor growth models and some fundamental mathematical analyses that go along with it. RationaleOne of my aspirations is to pursue the medical career and to become a successful doctor in the future. Ironically, I have never truly experienced the working fashion of a doctor in real life and have never touched the surgical knife, the medical machinery, or even a patient. This internal assessment provides me an opportunity to dig in further into the field, which never fails to make me keep feeling interested. The application of mathematics in biology has always fascinated me with its mathematical calculations that open up many paths and perspectives that lead us to understand the complex system inside us, which even our own selves still have not grabbed entirely despite many great contributions made by many outstanding individuals to this field. I choose modeling tumor growth as the subject for this study simply because the disease is an influential and widespread threat to the whole world and myself is also interested due to the lethal nature of the disease. Using mathematics to understand a biological process is, to me, a perfect learning approach...

## Find Another Essay On Application of Mathematics in Modeling Tumor Growth

### APPLICATION OF FACIAL HYBRID INTERFACE INTO 3D CHAARCTER MODELING IN SHORT ANIMATION 'READ'

1046 words - 5 pages Chapter one briefly introduces the idea of the research which explain on the importance of application facial hybrid interface into 3D character modeling for short animation project titled “Read". Under this chapter two, all literatures relating to this topic is being explored and recorded through the relevant books and articles. 2.1 3D Modeling Baran and Popovic stated in their article' Automatic Rigging and Animation of 3D Characters, that it

### APPLICATION OF FACIAL HYBRID INTERFACE INTO 3D CHAARCTER MODELING IN SHORT ANIMATION 'READ'

1217 words - 5 pages comparison either this application may work faster in term of time production and help overcome the tight budgeting for small house of production in their financial problems. Scope of study The overall study in this thesis is only touch on the application of facial hybrid interface into 3D character modeling and not covering for overall hybrid application to be applied in animation. It touch on 2D hand drawings that being applied into the character

### APPLICATION OF FACIAL HYBRID INTERFACE INTO 3D CHAARCTER MODELING IN SHORT ANIMATION 'READ'

832 words - 4 pages , Animation From Pencils To Pixels .Steve Roberts ,Character Animation in 3D (2005) .Tina O' Hailey, 'Hybrid Animation Integrating 2D & 3D'. 3.3 Test Setting Another method on finding the result for this thesis is by experimenting the application of the facial hybrid interface into 3D character modeling itself in short animation for final year project title 'READ'. It shall be a test setting on the main character itself and all the production

### APPLICATION OF FACIAL HYBRID INTERFACE INTO 3D CHAARCTER MODELING IN SHORT ANIMATION 'READ' - 1525 words

1525 words - 7 pages In the article 'Creative Approaches to Emotional Expression Animation', Robin Sloan comes out with statement those animation principles which imply the application of caricature such as exaggeration or anticipation can make the characters seems more lifelike. Effective expression in animation is not only about creating the emotion that be recognized as 'happiness' to the audience but it is all about the shattering audiences suspension of

### The History of Mathematics in Africa

1502 words - 6 pages number system itself without a practical application in mind.” The Rhind Papyrus is the Rosetta Stone of Egyptian mathematics. It has all the information that we need to know about Egyptian arithmetic specifically how to do division. At the time of its discovery it was the only original source of Egyptian math. The only things we knew about Egyptian math before it were things that the Greeks had learned from the Egyptians during visits there and

### The Issue of Experiment in Mathematics

2305 words - 9 pages computer for the theorems whose traditional proofs are not known (e.g. the four colour problem), using computer graphics, observations of different systems behaviour with parameters changed, solving differential equations, integration — these are only a few possibilities of computer application in mathematics. Using the computer created new work conditions for a mathematician, at the same time bringing about several questions concerning a method of

### The Progression of Mathematics in School

936 words - 4 pages The educational system grooms children to be productive members of society. First coined in the days of one-room schoolhouses, the phrase “reading, writing, and ‘rithmetic” has become a common mantra of education. The third of these three r’s is mathematics, an infamous subject. It is incumbent in many professions, from accountants and doctors to physicists and teachers. Both hated and adored by many, math is complex, essential, and encompasses

### The Teachings of Mathematics Education in America

987 words - 4 pages The Teachings of Mathematics Education in America Math educators in the United States should stress the understanding of the learners and teach them to process certain understanding to succeed in mathematics. The connection between math understanding and the reading of math problems should be raised in smaller grade levels so students have a better understand of math at younger ages. Yet it is not all the students’ part in learning the math

### Usefullness of Mathematics in Everyday Life

1435 words - 6 pages Usefullness of Mathematics in Everyday Life G H Hardy once said that "Very little of mathematics is useful practically, and that little is comparatively dull". This statement is blatantly incorrect. Mathematics appears in virtually all fields in some form or another, and it is the only truly universal language. Even fields considered the opposite of mathematics, such as literature, are filled with different forms of math. Music is based

### Summary of: Apoptosis in Human Hepatoma HepG2 Cells Induced by Corn Peptides and Its Anti-tumor Efficacy in H22 Tumor Bearing Mice

1532 words - 7 pages products to boost immune function and combat tumor growth and development. Corn proteins (CPs) are widely and readily available as they are by-products of the expansive corn products market. Because previous work with CPs had shown positive physical affects (such as lowering blood pressure and mitigating the harmful effects of alcohol on the liver), the authors chose to examine how CPs might modulate tumors and the immune systems of mice. The

### Importance of Mathematics in Alice's Adventures in Wonderland

1972 words - 8 pages as numeric patterns, spatial (visual reasoning) patterns, patterns of motion, and patterns of growth or decay.  Rackin recognizes the breakdown of one specific pattern, specifically the relationship between factors and products in base ten multiplications.  From this evidence, he concludes that mathematics is meaningless in Wonderland, with no defined structure.  But Rackin is making this assertion based on a small piece of evidence

## Similar Essays

### Application Of Mathematics In Modelling Tumor Growth

3621 words - 14 pages IB Mathematics HL Internal AssessmentApplication of Mathematics in Modeling Tumor GrowthBy: Trang LeIntroductionThe use of mathematics in biology is useful for modeling the growth of populations. These populations may consist of cells, drug or viral particles, or multicellular organisms. As a result, models of population growth can be applied to many fields, for example, genetics, oncology, immunology, physiology, and epidemiology. In order to

### Earthquakes: Application Of Mathematics Essay

1428 words - 6 pages Earthquakes: An Application of Mathematics The October 13, 2010 earthquake triggered a large buzz across Oklahoma University’s Norman campus, startling students walking to class or sitting in the middle of calculus. This magnitude 4.3 earthquake was 10 miles southeast of Norman and was felt as far north as Stillwater. To many students, the few seconds of shaking was unrecognizable as an earthquake because Oklahoma’s seismicity is not well

### Application Of Facial Hybrid Interface Into 3 D Chaarcter Modeling In Short Animation 'read' 855 Words

855 words - 4 pages Previous chapter discussed on the finding and result that obtained after going through the process of researched, and test setting on 3D character modeling in final year project 'Read' for hybrid application in facial interface. Meanwhile, in this final chapter once again, all the goal of this thesis shall be expressed and sum up in final word. From the beginning of the study, it has been mentioned earlier in Chapter 1 that, this study

### Application Of Facial Hybrid Interface Into 3 D Chaarcter Modeling In Short Animation 'read' 745 Words

745 words - 3 pages ample time to work and focusing in more on animating process on other parts of the body. Besides, the good of this application is also helping the rendering process to work more faster. Since mouth and eyes are not coming in 3D modeling, thus the character modeling is becoming in low polygon which means, it is not that hard to run rendering. In 3D rendering used to take a lot of time even for the few seconds movements may end up with couples day