Optimal Survival Strategy – for Tumor Metastasis Process

H.S.Kang, K.Kang

470 Carnegie Dr., Milpitas, CA 95035, USA

In this write-up mathematical model of cell osmotic process is developed. Probability density distribution of interval to administer bio stimulant for optimal survival is obtained. The traditional cancer therapy problem is formulated as non zero sum cyclic stochastic game employing behavior strategies for optimal survival. Mathematical model for ion transmitter for hypothermia therapy is obtained. Neural supervised training algorithm employing amorphous model for hypothermia therapy is given. Radiation transport model for tumor growth and procedure for forecasting tumor metastasis process is given. Probability density distribution of termination time for tumor process is obtained.

Clinically measured indices may be employed to access the homeostatic disorder and to compute rate of annihilation of tumor cells. From central limit theorem, diffusion approximation of multi layer neuronal epidemics virus growth, and density of Bell distribution genetic traits is obtained in extended probability space. Model developed is applied to analyze cumulative effect of membrane potential and external electrical field, on target tumor nodules metastases spread. HJBE (Hamilton-Jacobi-Bellman Equation) is employed to obtain time markers for optimal administering of bio stimulant to markov chain system model with jump parameters. The lymphocytes and tumor cell with memory may bind and coalesce on encounter in neural complex. The growth of tumor cells with higher association coefficient and memory is irreversible. The cancer therapy problem is formulated as non-zero sum cyclic stochastic games characterized by tumor target cells, players employ pure and behavior strategies. After radio graphical detection of malignant cells, players employ finite countable behavior strategies. Proposed method employs propagation, reflection, scatter of ions spherical wave fronts for radio graphical detection of tumor nodules, lung metastases and sheets. Center average fuzzifier and defuzzifier mapping may be employed to identify grade membership and to implement error back propagation wavelets training algorithms for hypothermia therapy. Neural supervised training algorithm employing amorphous model for hypothermia therapy is given. Rotational frame field produced by external field may be employed to control polar orientation of biological cells. Technique proposed in this write-up facilitates heating of deep-seated tumors, and may be effective in treating metastatic tumors, which cannot be treated by conventional therapies.