Mathematical Biosciences and Engineering (MBE)

A multiscale model of the bone marrow and hematopoiesis

Pages: 643 - 658, Volume 8, Issue 2, April 2011      doi:10.3934/mbe.2011.8.643

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Ariosto Silva - H Lee Moffitt Cancer Center, 12902 Magnolia Dr, Tampa, FL 33612, United States (email)
Alexander R. A. Anderson - H. Lee Moffitt Cancer Center & Research Institute, Integrated Mathematical Oncology, 12902 Magnolia Drive, Tampa, FL 33612, United States (email)
Robert Gatenby - H Lee Moffitt Cancer Center, 12902 Magnolia Dr, Tampa, FL 33612, United States (email)

Abstract: The bone marrow is necessary for renewal of all hematopoietic cells and critical for maintenance of a wide range of physiologic functions. Multiple human diseases result from bone marrow dysfunction. It is also the site in which liquid tumors, including leukemia and multiple myeloma, develop as well as a frequent site of metastases. Understanding the complex cellular and microenvironmental interactions that govern normal bone marrow function as well as diseases and cancers of the bone marrow would be a valuable medical advance. Our goal is the development of a spatially-explicit in silico model of the bone marrow to understand both its normal function and the evolutionary dynamics that govern the emergence of bone marrow malignancy. Here we introduce a multiscale computational model of the bone marrow that incorporates three distinct spatial scales, cell, hematopoietic subunit, whole marrow. Our results, using parameter estimates from literature, recapitulates normal bone marrow function and suggest an explanation for the fractal-like structure of trabeculae and sinuses in the marrow, which would be an optimization of the hematopoietic function in order to maximize the number of mature blood cells produced daily within the volumetric restrictions of the marrow.

Keywords:  Bone marrow, hematopoiesis, multiple myeloma.
Mathematics Subject Classification:  Primary: 92B05; Secondary: 92C99.

Received: March 2010;      Accepted: December 2010;      Available Online: April 2011.