Bone metastasis modeling based on the interactions between the BMU and tumor cells

Jerez, Silvia; Camacho, Ariel

doi:10.1016/j.cam.2016.12.026

Cited by 16 publications

(13 citation statements)

References 16 publications

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“…Apparently, the cavities containing osteoclast and osteoblast can be clearly observed in the magnified histological morphology around implants. As the functional unit for bone remodeling, BMUs are considered as the most obvious agent to adjust and reveal the bone healing situation around the implant surface in microscale. − Disturbances of any stimulation that shift the equilibrium of BMUs would lead to the change in bone remodeling around implants . Herein, the change in size of cavity containing BMU is mainly attributed to two factors of the as-formed implants, the bioactivity of coating and the microgouge structure.…”

Section: Results and Discussionmentioning

confidence: 99%

Enhanced Osseointegration of Hierarchically Structured Ti Implant with Electrically Bioactive SnO₂–TiO₂ Bilayered Surface

Zhou

Han

Cao

et al. 2018

ACS Appl. Mater. Interfaces

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The poor osseointegration of Ti implant significantly compromise its application in load-bearing bone repair and replacement. Electrically bioactive coating inspirited from heterojunction on Ti implant can benefit osseointegration but cannot avoid the stress shielding effect between bone and implant. To resolve this conflict, hierarchically structured Ti implant with electrically bioactive SnO-TiO bilayered surface has been developed to enhance osseointegration. Benefiting from the electric cue offered by the built-in electrical field of SnO-TiO heterojunction and the topographic cue provided by the hierarchical surface structure to bone regeneration, the osteoblastic function of basic multicellular units around the implant is significantly improved. Because the individual TiO or SnO coating with uniform surface exhibits no electrical bioactivity, the effects of electric and topographic cues to osseointegration have been decoupled via the analysis of in vivo performance for the placed Ti implant with different surfaces. The developed Ti implant shows significantly improved osseointegration with excellent bone-implant contact, improved mineralization of extracellular matrix, and increased push-out force. These results suggest that the synergistic strategy of combing electrical bioactivity with hierarchical surface structure provides a new platform for developing advanced endosseous implants.

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Section: Results and Discussionmentioning

confidence: 99%

Enhanced Osseointegration of Hierarchically Structured Ti Implant with Electrically Bioactive SnO₂–TiO₂ Bilayered Surface

Zhou

Han

Cao

et al. 2018

ACS Appl. Mater. Interfaces

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“…Osteoblastic lesions are characterized by CCs-promoted over-activation of OBs but this cross-talk is largely unknown with the CCs-OCs one (Ubellacker and McAllister, 2016;Ottewell, 2016). The mathematical model that we present next codies these interactions by simplifying the network of chemical reactions using power-law functions (Komarova type models) (Jerez and Camacho, 2018;Camacho and Jerez, 2019). Let C(t), B(t) and M (t) denote the density of OCs, OBs and CCs at time t, respectively.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…Local stability conditions for such equilibrium points are discussed in Jerez and Camacho (2018); Camacho and Jerez (2019) to know how the cancer-invasion equilibrium changes locally by variations of certain parameters it is very useful for simulations.…”

Section: Mathematical Modelmentioning

confidence: 99%

Optimal control for a bone metastasis with radiotherapy model using a linear objective functional

Camacho¹,

Diaz-Ocampo²,

Jerez³

2022

Math. Model. Nat. Phenom.

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Radiation is known to cause genetic damage to highly proliferative cells such as cancer cells. However, the radiotherapy effects to bone cells is not completely known. In this work we present a mathematical modeling framework to test hypotheses related to the radiation-induced effects on bone metastasis. Thus, we pose an optimal control problem based on a Komarova model describing the interactions between cancer cells and bone cells at a single site of bone remodeling. The radiotherapy treatment is included in the form of a functional which minimizes the use of radiation using a penalty function. Moreover, we are interested to model the 'on' and the 'off' time states of the radiation schedules; so we propose an optimal control problem with a L1-type objective functional. Bang-bang or singular arc solutions are the obtained optimal control solutions. We characterize both solutions types and explicitly give necessary optimality conditions for them. We present numerical simulations to analyze the different possible radiation effects on the bone and cancer cells. We also evaluate the more significant parameters to shift from a bang-bang solution to a singular arc solution and vice versa. Additionally, we study a fractionated radiotherapy model.

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“…The human bones are composed of two types of cells; Osteoblast (OB) and Osteoclast (OC). This collection is called Basic Multicellular Unit (BMU) [1,2]. Bone diseases are diverse, that one of them is bone cancer.…”

Section: Introductionmentioning

confidence: 99%

Control and treatment of bone cancer; a novel theoretical study

Abadi,

Rafeeyan,

Abootalebi

2023

Preprint

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The human body has symmetric bones. This paper uses control engineering concepts to design a suitable controller to synchronize two symmetric bones of the human body to control and treat bone cancer. A Nonsingular Terminal Sliding Mode Control (NTSMC) method will be employed to design the proposed control inputs. The control inputs can be the chemical drugs that can be used to treat bone cancer. The dynamical equations of bone cancer will be used to apply the designed control method and test it. For testing the designed controller, Simulink/MATLAB software will be used. The proposed controller is chattering-free, robust against uncertainties and external disturbances, and finite-time stable in the control engineering view. Bone cancer will be treated for almost one year using the proposed control method.

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Bone metastasis modeling based on the interactions between the BMU and tumor cells

Cited by 16 publications

References 16 publications

Enhanced Osseointegration of Hierarchically Structured Ti Implant with Electrically Bioactive SnO₂–TiO₂ Bilayered Surface

Enhanced Osseointegration of Hierarchically Structured Ti Implant with Electrically Bioactive SnO₂–TiO₂ Bilayered Surface

Optimal control for a bone metastasis with radiotherapy model using a linear objective functional

Control and treatment of bone cancer; a novel theoretical study

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Bone metastasis modeling based on the interactions between the BMU and tumor cells

Cited by 16 publications

References 16 publications

Enhanced Osseointegration of Hierarchically Structured Ti Implant with Electrically Bioactive SnO2–TiO2 Bilayered Surface

Enhanced Osseointegration of Hierarchically Structured Ti Implant with Electrically Bioactive SnO2–TiO2 Bilayered Surface

Optimal control for a bone metastasis with radiotherapy model using a linear objective functional

Control and treatment of bone cancer; a novel theoretical study

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Enhanced Osseointegration of Hierarchically Structured Ti Implant with Electrically Bioactive SnO₂–TiO₂ Bilayered Surface

Enhanced Osseointegration of Hierarchically Structured Ti Implant with Electrically Bioactive SnO₂–TiO₂ Bilayered Surface