TY - CHAP
T1 - A Fast Parallel Algorithm for Delay Partial Differential Equations Modeling the Cell Cycle in Cell Lines Derived from Human Tumors
AU - Zubik-Kowal, Barbara
PY - 2014/7/28
Y1 - 2014/7/28
N2 - We present a fast numerical algorithm for solving delay partial differential equations that model the growth of human tumor cells. The undetermined model parameters need to be estimated according to experimental data and it is desired to shorten the computational time needed in estimating them. To speed up the computations, we present an algorithm invoking parallelization designed for arbitrary numbers of available processors. The presented numerical results demonstrate the efficiency of the algorithm.
AB - We present a fast numerical algorithm for solving delay partial differential equations that model the growth of human tumor cells. The undetermined model parameters need to be estimated according to experimental data and it is desired to shorten the computational time needed in estimating them. To speed up the computations, we present an algorithm invoking parallelization designed for arbitrary numbers of available processors. The presented numerical results demonstrate the efficiency of the algorithm.
KW - cell division cycle
KW - computational efficiency
KW - delay partial differential equations
KW - parallel algorithm
KW - parallel computations
UR - https://scholarworks.boisestate.edu/math_facpubs/146
UR - https://doi.org/10.1007/978-3-319-08251-6_12
UR - http://www.scopus.com/inward/record.url?scp=84906849050&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-08251-6_12
DO - 10.1007/978-3-319-08251-6_12
M3 - Chapter
SN - 9783319082509
T3 - 2194-1009
SP - 251
EP - 259
BT - Recent Advances in Delay Differential and Difference Equations
T2 - International Conference on Delay Differential and Difference Equations and Applications, ICDDDEA 2013
Y2 - 15 July 2013 through 19 July 2013
ER -