Abstract— of causes account for the cancer

Abstract— Hepatocellular carcinoma (HCC)is the most common primary malignancy ofthe liver in adults.. Recent researchsupports that liver cancer is a disease ofadult stem cells.It is also the fifth mostcommon solid cancer worldwide and thethird leading cause of cancer-related death.In a developing embryo, stem cellscan differentiate into all the specializedcells (these are called pluripotent cells), butalso maintain the normal turnover ofregenerative organs, such as blood, skin,or intestinal tissues. Optimizationalgorithms have been proved to be goodsolutions for many practical applications.They were mainly inspired by naturalevolutions and they are still faced to someproblems such as trapping in localminimums, having low speed ofconvergence, and also having high order ofcomplexity for implementation. A new optimization algorithm andwe call it Stem Cells Algorithm (SCA). SCAhas high speed of convergence, low level ofcomplexity with easy implementationprocess. It avoids the local minimums in anintelligent manner. The Stem cellAlgorithms obtains a best stem cell whichhas good self-renewal power and minimalcost after n iterations are done. Finally thatis taken for curing HCC which will helpdoctors increase the survival rate ofpatients diagnosed with that disease.Keywords— Stem cell algorithm(SCA), Dataclustering- K-means algorithm.I. INTRODUCTIONHepatocellular carcinoma is the most commontype of liver cancer. And develops when thereis a mutation to the cellular machinery andcauses the cell to replicate at a higher rate andresults in the cell avoiding apoptosis. There area number of causes account for the cancer thatare called as carcinogens. The most commonbeing chronic alcoholism.Certain statistics show that liver canceraccounts for 700,000 deaths per year making itthe third deadliest. The treatment of livercancer may involve chemotherapy, stem-cellrecovery and detection can be done bymammography, PET scan, CT scan etc… Thestem cell approach is effective and helps us inreconstructing a liver, hence sustaining life.The selection of stem cells from various organscan be done using data clustering algorithms.Data Clustering is an important issue and a keypart of many fields such as data mining, scientificanalysis and image segmentation. Dataclustering is used for dividing a dataset intosome classes without knowing any preinformationabout the kind of relations existsbetween classes. One of the popular algorithmsis the K-means algorithm. The algorithm tries toput the entire dataset S into K clusters (i.e.C1;C2;:::;Ck ) by randomly selecting K datapoints as a set of cluster centers. To do that,the clusters are formed such that the existingCj ?Ck? ? k? j|data in each cluster should have the minimumEuclidean distance to the center of that cluster.Thus the following conditions should be satisfied:(1)where S is the entire data set. Moreover, thereshould be at least one point in each cluster,such that:where ? is an empty set. Final condition is thatthere should not be any data point jointlyexisting in two different clusters which can beexpressed as follow:(3). Total Euclidean distance is defined as:(4)where xi is ith data point and belongs to thecluster Cj, Zj is the center of Cj, K is thenumber of clusters and Nj is the number ofdata points in Cj.II STEM CELLS OPTIMIZATION ALGORITHMStem cells are found in all multi-cells of bodyorgans where they are able to become a fullorgan. Research in this field was conducted byErnest A. McCulloch and James E. Till. It wasbased on stem cells which are part of the innerblastocysts cells group. In their research theyhave reached at an important conclusion whichis that stem cells may result in changes in someorgans of body. Problems of somehumanorgans can also be resolved using the ability ofembryonic stem cells in cell division andbecoming a full organ. This algorithm convergesfaster than other optimization algorithms.In the proposed algorithm, the initial matrix iscomposed of the stem cell characteristics. Itconsists of liver cells, intestinal cells, bloodcells, neurons, heart muscle cells, pancreaticislets cells and so on.Thus, the initial matrix is defined as follows:Population =(5)Xi = Stem Cells = SC1, SC2…SCni= 1, 2, 3…, Nwhere initialized parameters of the algorithm aredefined as:{M = Maximum number of stem cells;P =population size; {10