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math.PR2022
Explicitly Constrained Stochastic Differential Equations on Manifolds
Sumit Suthar, Soumyendu Raha
In this manuscript we consider Intrinsic Stochastic Differential Equations on manifolds and constrain it to a level set of a smooth function. Such type of constraints are known as…
math.DG2022
Intrinsic Stochastic Differential Equations and Extended Ito Formula on Manifolds
Sumit Suthar, Soumyendu Raha
A general way of representing Stochastic Differential Equations (SDEs) on smooth manifold is based on Schwartz morphism. In this manuscript we are interested in SDEs on a smooth ma…
q-bio.PE2022
Progression, Detection and Remission: Evolution of Chronic Myeloid Leukemia using a three-stage probabilistic model
Sonjoy Pan, Siddhartha P. Chakrabarty, Soumyendu Raha
We present a three-stage probabilistic model for the progression of Chronic Myeloid Leukemia (CML), as manifested by the leukemic stem cells, progenitor cells and mature leukemic c…