Cancer is a major public health problem worldwide and finding a total cure or eradication of the disease has been the expectations of medical researchers and medical practitioners in the recent times. In this paper, i...Cancer is a major public health problem worldwide and finding a total cure or eradication of the disease has been the expectations of medical researchers and medical practitioners in the recent times. In this paper, invasion of normal cells by carcinogens is considered. The purpose of the research is to study the dynamic evolutions of cancer and immune cells with the view finding most effective strategic way to control or eradicate cancer growth in human beings. We proposed five growths and mitigate models for benign and malignant cancer which are coupled ordinary differential equations and partial differential equations and Numerical simulations are made for the models. Analytic and Numerical solutions and sensitivity analysis of the models to parameters are obtained. It is found that the benign and malignant cancer cells displayed out of control growth and hence unstable in nature and the immune cells depreciated to the point of immune collapse. By the use of energy function it is established that staving of cancer cells of oxygen or use of drugs are strategic ways of combating cancer disease. Moreover, if the cancer cells are starved of basic nutrients or some basic enzymes inhibited it is expected that similar effect can also be achieved. The starvation of cancer cells should focus on oxygen, nutrients and vital enzymes. However, it is hoped that drugs developers and bioengineers will come up with means to achieve the starvation strategies to combat cancer disease.展开更多
In this paper we explore the possibility of using the scientific computing method to obtain the inverse B-Transform of Oyelami and Ale [1]. Using some suitable conditions and the symbolic programming method in Maple 1...In this paper we explore the possibility of using the scientific computing method to obtain the inverse B-Transform of Oyelami and Ale [1]. Using some suitable conditions and the symbolic programming method in Maple 15 we obtained the asymptotic expansion for the inverse B-transform then used the residue theorem to obtain solutions of Impulsive Diffusion and Von-Foerster-Makendrick models. The results obtained suggest that drugs that are needed for prophylactic or chemotherapeutic purposing the concentration must not be allowed to oscillate about the steady state. Drugs that are to be used for immunization should not oscillate at steady state in order to have long residue effect in the blood. From Von-Foerster-Makendrick model, we obtained the conditions for population of the specie to attain super saturation level through the “dying effect” phenomenon ([2-4]). We used this phenomenon to establish that the environment cannot accommodate the population of the specie anymore which mean that a catastrophic stage t* is reached that only the fittest can survive beyond this regime (i.e. t > t*) and that there would be sharp competition for food, shelter and waste disposal etc.展开更多
The planetary bodies are more of a spheroid than they are a sphere thereby making it necessary to describe motions in a spheroidal coordinate system. Using the oblate spheroidal coordinate system, a more approximate a...The planetary bodies are more of a spheroid than they are a sphere thereby making it necessary to describe motions in a spheroidal coordinate system. Using the oblate spheroidal coordinate system, a more approximate and realistic description of motion in these bodies can be realized. In this paper, we derive the Riemannian acceleration for motion in oblate spheroidal coordinate system using the golden metric tensor in oblate spheroidal coordinates. The Riemannian acceleration in the oblate spheroidal coordinate system reduces to the pure Newtonian acceleration in the limit of c<sup>0</sup> and contains post-Newtonian correction terms of all orders of c<sup>-2</sup>. The result obtained thereby opens the way for further studies and applications of the motion of particles in oblate spheroidal coordinate system.展开更多
文摘Cancer is a major public health problem worldwide and finding a total cure or eradication of the disease has been the expectations of medical researchers and medical practitioners in the recent times. In this paper, invasion of normal cells by carcinogens is considered. The purpose of the research is to study the dynamic evolutions of cancer and immune cells with the view finding most effective strategic way to control or eradicate cancer growth in human beings. We proposed five growths and mitigate models for benign and malignant cancer which are coupled ordinary differential equations and partial differential equations and Numerical simulations are made for the models. Analytic and Numerical solutions and sensitivity analysis of the models to parameters are obtained. It is found that the benign and malignant cancer cells displayed out of control growth and hence unstable in nature and the immune cells depreciated to the point of immune collapse. By the use of energy function it is established that staving of cancer cells of oxygen or use of drugs are strategic ways of combating cancer disease. Moreover, if the cancer cells are starved of basic nutrients or some basic enzymes inhibited it is expected that similar effect can also be achieved. The starvation of cancer cells should focus on oxygen, nutrients and vital enzymes. However, it is hoped that drugs developers and bioengineers will come up with means to achieve the starvation strategies to combat cancer disease.
文摘In this paper we explore the possibility of using the scientific computing method to obtain the inverse B-Transform of Oyelami and Ale [1]. Using some suitable conditions and the symbolic programming method in Maple 15 we obtained the asymptotic expansion for the inverse B-transform then used the residue theorem to obtain solutions of Impulsive Diffusion and Von-Foerster-Makendrick models. The results obtained suggest that drugs that are needed for prophylactic or chemotherapeutic purposing the concentration must not be allowed to oscillate about the steady state. Drugs that are to be used for immunization should not oscillate at steady state in order to have long residue effect in the blood. From Von-Foerster-Makendrick model, we obtained the conditions for population of the specie to attain super saturation level through the “dying effect” phenomenon ([2-4]). We used this phenomenon to establish that the environment cannot accommodate the population of the specie anymore which mean that a catastrophic stage t* is reached that only the fittest can survive beyond this regime (i.e. t > t*) and that there would be sharp competition for food, shelter and waste disposal etc.
文摘The planetary bodies are more of a spheroid than they are a sphere thereby making it necessary to describe motions in a spheroidal coordinate system. Using the oblate spheroidal coordinate system, a more approximate and realistic description of motion in these bodies can be realized. In this paper, we derive the Riemannian acceleration for motion in oblate spheroidal coordinate system using the golden metric tensor in oblate spheroidal coordinates. The Riemannian acceleration in the oblate spheroidal coordinate system reduces to the pure Newtonian acceleration in the limit of c<sup>0</sup> and contains post-Newtonian correction terms of all orders of c<sup>-2</sup>. The result obtained thereby opens the way for further studies and applications of the motion of particles in oblate spheroidal coordinate system.
