Mathematical modeling in cancer nanomedicine: a review

Dogra, Prashant; Butner, Joseph D.; Chuang, Yao-li; Caserta, Sergio; Goel, Shreya; Brinker, C. Jeffrey; Cristini, Vittorio; Wang, Zhihui

doi:10.1007/s10544-019-0380-2

Mathematical modeling in cancer nanomedicine: a review

Journal Article · Thu Apr 04 00:00:00 EDT 2019 · Biomedical Microdevices

DOI:https://doi.org/10.1007/s10544-019-0380-2· OSTI ID:1623615

Dogra, Prashant ^[1]; Butner, Joseph D. ^[2]; Chuang, Yao-li ^[3]; Caserta, Sergio ^[4]; Goel, Shreya ^[2]; Brinker, C. Jeffrey ^[5]; Cristini, Vittorio ^[6]; Wang, Zhihui ^[6]

The Houston Methodist Research Inst., Houston, TX (United States); DOE/OSTI
The Houston Methodist Research Inst., Houston, TX (United States)
California State Univ. (CalState), Northridge, CA (United States)
Univ. of Naples Federico II (Italy)
Univ. of New Mexico, Albuquerque, NM (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
The Houston Methodist Research Inst., Houston, TX (United States); Univ. of Texas, Houston, TX (United States)

Cancer continues to be among the leading healthcare problems worldwide, and efforts continue not just to find better drugs, but also better drug delivery methods. The need for delivering cytotoxic agents selectively to cancerous cells, for improved safety and efficacy, has triggered the application of nanotechnology in medicine. This effort has provided drug delivery systems that can potentially revolutionize cancer treatment. Nanocarriers, due to their capacity for targeted drug delivery, can shift the balance of cytotoxicity from healthy to cancerous cells. The field of cancer nanomedicine has made significant progress, but challenges remain that impede its clinical translation. Several biophysical barriers to the transport of nanocarriers to the tumor exist, and a much deeper understanding of nano-bio interactions is necessary to change the status quo. Mathematical modeling has been instrumental in improving our understanding of the physicochemical and physiological underpinnings of nanomaterial behavior in biological systems. Here, we present a comprehensive review of literature on mathematical modeling works that have been and are being employed towards a better understanding of nano-bio interactions for improved tumor delivery efficacy.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF); National Institutes of Health (NIH); University of Texas; USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: NA0003525

OSTI ID:: 1623615

Journal Information:: Biomedical Microdevices, Journal Name: Biomedical Microdevices Journal Issue: 2 Vol. 21; ISSN 1387-2176

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

References (151)

Biodistribution and Pharmacokinetic Analysis of Long-Circulating Thiolated Gelatin Nanoparticles Following Systemic Administration in Breast Cancer-Bearing Mice Kommareddy, Sushma; Amiji, Mansoor Journal of Pharmaceutical Sciences, Vol. 96, Issue 2 https://doi.org/10.1002/jps.20813	journal	February 2007
Physiologically Based Pharmacokinetic Modeling: Principles and Applications Gerlowski, Leonard E.; Jain, Rakesh K. Journal of Pharmaceutical Sciences, Vol. 72, Issue 10 https://doi.org/10.1002/jps.2600721003	journal	October 1983
Marqibo® (vincristine sulfate liposome injection) improves the pharmacokinetics and pharmacodynamics of vincristine Silverman, Jeffrey A.; Deitcher, Steven R. Cancer Chemotherapy and Pharmacology, Vol. 71, Issue 3 https://doi.org/10.1007/s00280-012-2042-4	journal	December 2012
Pharmacokinetics of liposomal daunorubicin (DaunoXome) during a phase I-II study in children with relapsed acute lymphoblastic leukaemia Bellott, Ricardo; Auvrignon, Anne; Leblanc, Thierry Cancer Chemotherapy and Pharmacology, Vol. 47, Issue 1 https://doi.org/10.1007/s002800000206	journal	November 2000
The pharmacokinetics of liposomal encapsulated daunorubicin are not modified by HAART in patients with HIV-associated Kaposi's sarcoma Fumagalli, Luca; Zucchetti, Massimo; Parisi, Idria Cancer Chemotherapy and Pharmacology, Vol. 45, Issue 6 https://doi.org/10.1007/s002800051025	journal	May 2000
Nonlinear simulation of tumor growth Cristini, Vittorio; Lowengrub, John; Nie, Qing Journal of Mathematical Biology, Vol. 46, Issue 3 https://doi.org/10.1007/s00285-002-0174-6	journal	March 2003
Multiscale modelling and nonlinear simulation of vascular tumour growth Macklin, Paul; McDougall, Steven; Anderson, Alexander R. A. Journal of Mathematical Biology, Vol. 58, Issue 4-5 https://doi.org/10.1007/s00285-008-0216-9	journal	September 2008
The influence of size, shape and vessel geometry on nanoparticle distribution Tan, Jifu; Shah, Samar; Thomas, Antony Microfluidics and Nanofluidics, Vol. 14, Issue 1-2 https://doi.org/10.1007/s10404-012-1024-5	journal	July 2012
A Theoretical Model for the Margination of Particles within Blood Vessels Decuzzi, P.; Lee, S.; Bhushan, B. Annals of Biomedical Engineering, Vol. 33, Issue 2 https://doi.org/10.1007/s10439-005-8976-5	journal	February 2005
Towards Optimal Design of Cancer Nanomedicines: Multi-stage Nanoparticles for the Treatment of Solid Tumors Stylianopoulos, Triantafyllos; Economides, Eva-Athena; Baish, James W. Annals of Biomedical Engineering, Vol. 43, Issue 9 https://doi.org/10.1007/s10439-015-1276-9	journal	February 2015
Towards a platform PBPK model to characterize the plasma and tissue disposition of monoclonal antibodies in preclinical species and human Shah, Dhaval K.; Betts, Alison M. Journal of Pharmacokinetics and Pharmacodynamics, Vol. 39, Issue 1 https://doi.org/10.1007/s10928-011-9232-2	journal	December 2011
Nanoparticle interaction with plasma proteins as it relates to particle biodistribution, biocompatibility and therapeutic efficacy Aggarwal, Parag; Hall, Jennifer B.; McLeland, Christopher B. Advanced Drug Delivery Reviews, Vol. 61, Issue 6 https://doi.org/10.1016/j.addr.2009.03.009	journal	June 2009
Modeling receptor-mediated endocytosis of polymer-functionalized iron oxide nanoparticles by human macrophages Lunov, Oleg; Zablotskii, Vitalii; Syrovets, Tatiana Biomaterials, Vol. 32, Issue 2 https://doi.org/10.1016/j.biomaterials.2010.08.111	journal	January 2011
ICP-MS analysis of lanthanide-doped nanoparticles as a non-radiative, multiplex approach to quantify biodistribution and blood clearance Crayton, Samuel H.; Elias, Drew R.; Al Zaki, Ajlan Biomaterials, Vol. 33, Issue 5 https://doi.org/10.1016/j.biomaterials.2011.10.077	journal	February 2012
Diffusion Anisotropy in Collagen Gels and Tumors: The Effect of Fiber Network Orientation Stylianopoulos, Triantafyllos; Diop-Frimpong, Benjamin; Munn, Lance L. Biophysical Journal, Vol. 99, Issue 10 https://doi.org/10.1016/j.bpj.2010.08.065	journal	November 2010
Mathematical modeling in cancer drug discovery Wang, Zhihui; Deisboeck, Thomas S. Drug Discovery Today, Vol. 19, Issue 2 https://doi.org/10.1016/j.drudis.2013.06.015	journal	February 2014
Design of bio-mimetic particles with enhanced vascular interaction Lee, Sei-Young; Ferrari, Mauro; Decuzzi, Paolo Journal of Biomechanics, Vol. 42, Issue 12 https://doi.org/10.1016/j.jbiomech.2009.05.012	journal	August 2009
In vivo biodistribution and pharmacokinetics of silica nanoparticles as a function of geometry, porosity and surface characteristics Yu, Tian; Hubbard, Dallin; Ray, Abhijit Journal of Controlled Release, Vol. 163, Issue 1 https://doi.org/10.1016/j.jconrel.2012.05.046	journal	October 2012
Mathematical modelling of dynamic adaptive tumour-induced angiogenesis: Clinical implications and therapeutic targeting strategies McDougall, Steven R.; Anderson, Alexander R. A.; Chaplain, Mark A. J. Journal of Theoretical Biology, Vol. 241, Issue 3 https://doi.org/10.1016/j.jtbi.2005.12.022	journal	August 2006
Kinetics of the formation of a protein corona around nanoparticles Zhdanov, Vladimir P.; Cho, Nam-Joon Mathematical Biosciences, Vol. 282 https://doi.org/10.1016/j.mbs.2016.09.018	journal	December 2016
Odyssey of a cancer nanoparticle: From injection site to site of action Nichols, Joseph W.; Bae, You Han Nano Today, Vol. 7, Issue 6 https://doi.org/10.1016/j.nantod.2012.10.010	journal	December 2012
A computational framework for identifying design guidelines to increase the penetration of targeted nanoparticles into tumors Hauert, Sabine; Berman, Spring; Nagpal, Radhika Nano Today, Vol. 8, Issue 6 https://doi.org/10.1016/j.nantod.2013.11.001	journal	December 2013
Evolution and clinical translation of drug delivery nanomaterials Hassan, Shabir; Prakash, Gyan; Bal Ozturk, Ayca Nano Today, Vol. 15 https://doi.org/10.1016/j.nantod.2017.06.008	journal	August 2017
[186Re]Liposomal doxorubicin (Doxil): in vitro stability, pharmacokinetics, imaging and biodistribution in a head and neck squamous cell carcinoma xenograft model Soundararajan, Anuradha; Bao, Ande; Phillips, William T. Nuclear Medicine and Biology, Vol. 36, Issue 5 https://doi.org/10.1016/j.nucmedbio.2009.02.004	journal	July 2009
Coarse-grained models for proteins Tozzini, Valentina Current Opinion in Structural Biology, Vol. 15, Issue 2 https://doi.org/10.1016/j.sbi.2005.02.005	journal	April 2005
Simulating cancer growth with multiscale agent-based modeling Wang, Zhihui; Butner, Joseph D.; Kerketta, Romica Seminars in Cancer Biology, Vol. 30 https://doi.org/10.1016/j.semcancer.2014.04.001	journal	February 2015
Competitive Binding of Proteins to Gold Nanoparticles Disclosed by Molecular Dynamics Simulations Tavanti, Francesco; Pedone, Alfonso; Menziani, Maria Cristina The Journal of Physical Chemistry C, Vol. 119, Issue 38 https://doi.org/10.1021/acs.jpcc.5b05796	journal	September 2015
^99m Tc-Labeled Multifunctional Low-Generation Dendrimer-Entrapped Gold Nanoparticles for Targeted SPECT/CT Dual-Mode Imaging of Tumors Li, Xin; Xiong, Zuogang; Xu, Xiaoying ACS Applied Materials & Interfaces, Vol. 8, Issue 31 https://doi.org/10.1021/acsami.6b04827	journal	July 2016
Understanding the Kinetics of Protein–Nanoparticle Corona Formation Vilanova, Oriol; Mittag, Judith J.; Kelly, Philip M. ACS Nano, Vol. 10, Issue 12 https://doi.org/10.1021/acsnano.6b04858	journal	November 2016
Biodistribution and Pharmacokinetics of EGFR-Targeted Thiolated Gelatin Nanoparticles Following Systemic Administration in Pancreatic Tumor-Bearing Mice Xu, Jing; Gattacceca, Florence; Amiji, Mansoor Molecular Pharmaceutics, Vol. 10, Issue 5 https://doi.org/10.1021/mp400054e	journal	April 2013
Determining the Pharmacokinetics and Long-Term Biodistribution of SiO ₂ Nanoparticles In Vivo Using Accelerator Mass Spectrometry Malfatti, Michael A.; Palko, Heather A.; Kuhn, Edward A. Nano Letters, Vol. 12, Issue 11 https://doi.org/10.1021/nl302412f	journal	October 2012
Physiologically Based Pharmacokinetic Modeling of Nanoparticles Li, Mingguang; Al-Jamal, Khuloud T.; Kostarelos, Kostas ACS Nano, Vol. 4, Issue 11 https://doi.org/10.1021/nn1018818	journal	October 2010
Probing In Vivo Trafficking of Polymer/DNA Micellar Nanoparticles Using SPECT/CT Imaging Patil, Rajesh R.; Yu, Jianhua; Banerjee, Sangeeta R. Molecular Therapy, Vol. 19, Issue 9 https://doi.org/10.1038/mt.2011.128	journal	September 2011
Analysis of nanoparticle delivery to tumours Wilhelm, Stefan; Tavares, Anthony J.; Dai, Qin Nature Reviews Materials, Vol. 1, Issue 5 https://doi.org/10.1038/natrevmats.2016.14	journal	April 2016
Normalization of tumour blood vessels improves the delivery of nanomedicines in a size-dependent manner Chauhan, Vikash P.; Stylianopoulos, Triantafyllos; Martin, John D. Nature Nanotechnology, Vol. 7, Issue 6 https://doi.org/10.1038/nnano.2012.45	journal	April 2012
Cancer nanomedicine: progress, challenges and opportunities Shi, Jinjun; Kantoff, Philip W.; Wooster, Richard Nature Reviews Cancer, Vol. 17, Issue 1 https://doi.org/10.1038/nrc.2016.108	journal	November 2016
Delivering nanomedicine to solid tumors Jain, Rakesh K.; Stylianopoulos, Triantafyllos Nature Reviews Clinical Oncology, Vol. 7, Issue 11 https://doi.org/10.1038/nrclinonc.2010.139	journal	September 2010
Announcing the worldwide Protein Data Bank Berman, Helen; Henrick, Kim; Nakamura, Haruki Nature Structural & Molecular Biology, Vol. 10, Issue 12 https://doi.org/10.1038/nsb1203-980	journal	December 2003
Multiscale Kinetic Modeling of Liposomal Doxorubicin Delivery Quantifies the Role of Tumor and Drug-Specific Parameters in Local Delivery to Tumors Hendriks, B. S.; Reynolds, J. G.; Klinz, S. G. CPT: Pharmacometrics & Systems Pharmacology, Vol. 1, Issue 11 https://doi.org/10.1038/psp.2012.16	journal	November 2012
Basic Concepts in Physiologically Based Pharmacokinetic Modeling in Drug Discovery and Development Jones, Hm; Rowland-Yeo, K. CPT: Pharmacometrics & Systems Pharmacology, Vol. 2, Issue 8 https://doi.org/10.1038/psp.2013.41	journal	August 2013
Establishing the effects of mesoporous silica nanoparticle properties on in vivo disposition using imaging-based pharmacokinetics Dogra, Prashant; Adolphi, Natalie L.; Wang, Zhihui Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-018-06730-z	journal	October 2018
Understanding the Connection between Nanoparticle Uptake and Cancer Treatment Efficacy using Mathematical Modeling Brocato, Terisse A.; Coker, Eric N.; Durfee, Paul N. Scientific Reports, Vol. 8, Issue 1 https://doi.org/10.1038/s41598-018-25878-8	journal	May 2018
A closer look into the ubiquitin corona on gold nanoparticles by computational studies Tavanti, Francesco; Pedone, Alfonso; Menziani, Maria Cristina New Journal of Chemistry, Vol. 39, Issue 4 https://doi.org/10.1039/c4nj01752h	journal	January 2015
Dual-radiolabeled nanoparticle SPECT probes for bioimaging Black, Kvar C. L.; Akers, Walter J.; Sudlow, Gail Nanoscale, Vol. 7, Issue 2 https://doi.org/10.1039/c4nr05269b	journal	January 2015
Enhanced performance of macrophage-encapsulated nanoparticle albumin-bound-paclitaxel in hypo-perfused cancer lesions Leonard, Fransisca; Curtis, Louis T.; Yesantharao, Pooja Nanoscale, Vol. 8, Issue 25 https://doi.org/10.1039/c5nr07796f	journal	January 2016
Machine learning provides predictive analysis into silver nanoparticle protein corona formation from physicochemical properties Findlay, Matthew R.; Freitas, Daniel N.; Mobed-Miremadi, Maryam Environmental Science: Nano, Vol. 5, Issue 1 https://doi.org/10.1039/c7en00466d	journal	January 2018
Effects of particle size and ligand density on the kinetics of receptor-mediated endocytosis of nanoparticles Yuan, Hongyan; Zhang, Sulin Applied Physics Letters, Vol. 96, Issue 3 https://doi.org/10.1063/1.3293303	journal	January 2010
Pharmacokinetics and tumor dynamics of the nanoparticle IT-101 from PET imaging and tumor histological measurements Schluep, T.; Hwang, J.; Hildebrandt, I. J. Proceedings of the National Academy of Sciences, Vol. 106, Issue 27 https://doi.org/10.1073/pnas.0905487106	journal	June 2009
Mechanistic patient-specific predictive correlation of tumor drug response with microenvironment and perfusion measurements Pascal, J.; Bearer, E. L.; Wang, Z. Proceedings of the National Academy of Sciences, Vol. 110, Issue 35 https://doi.org/10.1073/pnas.1300619110	journal	August 2013
Integrated nanotechnology platform for tumor-targeted multimodal imaging and therapeutic cargo release Hosoya, Hitomi; Dobroff, Andrey S.; Driessen, Wouter H. P. Proceedings of the National Academy of Sciences, Vol. 113, Issue 7 https://doi.org/10.1073/pnas.1525796113	journal	February 2016
Pegylated Liposomal Doxorubicin: Metamorphosis of an Old Drug into a New Form of Chemotherapy Gabizon, Alberto A. Cancer Investigation, Vol. 19, Issue 4 https://doi.org/10.1081/cnv-100103136	journal	January 2001
In vivo SPECT/CT imaging and biodistribution using radioactive Cd ^{125 m} Te/ZnS nanoparticles Woodward, Jonathan D.; Kennel, Steve J.; Mirzadeh, Saed Nanotechnology, Vol. 18, Issue 17 https://doi.org/10.1088/0957-4484/18/17/175103	journal	April 2007
Shaping nano-/micro-particles for enhanced vascular interaction in laminar flows Lee, Sei-Young; Ferrari, Mauro; Decuzzi, Paolo Nanotechnology, Vol. 20, Issue 49 https://doi.org/10.1088/0957-4484/20/49/495101	journal	November 2009
Computational approaches and metrics required for formulating biologically realistic nanomaterial pharmacokinetic models Riviere, Jim E.; Scoglio, Caterina; Sahneh, Faryad D. Computational Science & Discovery, Vol. 6, Issue 1 https://doi.org/10.1088/1749-4699/6/1/014005	journal	January 2013
Dispersion of soluble matter in solvent flowing slowly through a tube Taylor, Geoffrey Ingram Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 219, Issue 1137, p. 186-203 https://doi.org/10.1098/rspa.1953.0139	journal	August 1953
On the dispersion of a solute in a fluid flowing through a tube Aris, R. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 235, Issue 1200, p. 67-77 https://doi.org/10.1098/rspa.1956.0065	journal	April 1956
Scale-Invariant Behavior and Vascular Network Formation in Normal and Tumor Tissue Gazit, Yuval; Berk, David A.; Leunig, Michael Physical Review Letters, Vol. 75, Issue 12 https://doi.org/10.1103/physrevlett.75.2428	journal	September 1995
Editorial Special Section on Multiscale Cancer Modeling Wang, Z.; Maini, P. K. IEEE Transactions on Biomedical Engineering, Vol. 64, Issue 3 https://doi.org/10.1109/tbme.2017.2655439	journal	March 2017
Pharmacokinetics and pharmacodynamics of liposomal mifamurtide in adult volunteers with mild or moderate renal impairment: Mifamurtide pharmacokinetics and pharmacodynamics in renal impairment Venkatakrishnan, Karthik; Liu, Yi; Noe, Dennis British Journal of Clinical Pharmacology, Vol. 77, Issue 6 https://doi.org/10.1111/bcp.12260	journal	May 2014
To scale or not to scale: the principles of dose extrapolation Sharma, Vijay; McNeill, John H. British Journal of Pharmacology, Vol. 157, Issue 6 https://doi.org/10.1111/j.1476-5381.2009.00267.x	journal	July 2009
Clinical translation of an ultrasmall inorganic optical-PET imaging nanoparticle probe Phillips, E.; Penate-Medina, O.; Zanzonico, P. B. Science Translational Medicine, Vol. 6, Issue 260 https://doi.org/10.1126/scitranslmed.3009524	journal	October 2014
The Effect of Nanoparticle Size, Shape, and Surface Chemistry on Biological Systems Albanese, Alexandre; Tang, Peter S.; Chan, Warren C. W. Annual Review of Biomedical Engineering, Vol. 14, Issue 1 https://doi.org/10.1146/annurev-bioeng-071811-150124	journal	August 2012
Multiscale Cancer Modeling Deisboeck, Thomas S.; Wang, Zhihui; Macklin, Paul Annual Review of Biomedical Engineering, Vol. 13, Issue 1 https://doi.org/10.1146/annurev-bioeng-071910-124729	journal	August 2011
Delivery of Molecular and Nanoscale Medicine to Tumors: Transport Barriers and Strategies Chauhan, Vikash P.; Stylianopoulos, Triantafyllos; Boucher, Yves Annual Review of Chemical and Biomolecular Engineering, Vol. 2, Issue 1 https://doi.org/10.1146/annurev-chembioeng-061010-114300	journal	July 2011
Development of a Highly Active Nanoliposomal Irinotecan Using a Novel Intraliposomal Stabilization Strategy Drummond, Daryl C.; Noble, Charles O.; Guo, Zexiong Cancer Research, Vol. 66, Issue 6 https://doi.org/10.1158/0008-5472.can-05-4007	journal	March 2006
Phase I and Pharmacokinetic Study of Genexol-PM, a Cremophor-Free, Polymeric Micelle-Formulated Paclitaxel, in Patients with Advanced Malignancies Kim, T. -Y. Clinical Cancer Research, Vol. 10, Issue 11 https://doi.org/10.1158/1078-0432.ccr-03-0655	journal	June 2004
Transport properties of pancreatic cancer describe gemcitabine delivery and response Koay, Eugene J.; Truty, Mark J.; Cristini, Vittorio Journal of Clinical Investigation, Vol. 124, Issue 4 https://doi.org/10.1172/jci73455	journal	March 2014
Pharmacodynamics and safety of intravenous pegaspargase during remission induction in adults aged 55 years or younger with newly diagnosed acute lymphoblastic leukemia Douer, Dan; Yampolsky, Henry; Cohen, Lewis J. Blood, Vol. 109, Issue 7 https://doi.org/10.1182/blood-2006-07-035006	journal	November 2006
Tracking T-cells in vivo with a new nano-sized MRI contrast agent. Liu, Li; Ye, Qing; Wu, Yi-Jen L. Carnegie Mellon University https://doi.org/10.1184/r1/6104564.v1	text	January 2012
Theory and Experimental Validation of a Spatio-temporal Model of Chemotherapy Transport to Enhance Tumor Cell Kill Wang, Zhihui; Kerketta, Romica; Chuang, Yao-Li PLOS Computational Biology, Vol. 12, Issue 6 https://doi.org/10.1371/journal.pcbi.1004969	journal	June 2016
Modeling the Time Evolution of the Nanoparticle-Protein Corona in a Body Fluid Dell'Orco, Daniele; Lundqvist, Martin; Oslakovic, Cecilia PLoS ONE, Vol. 5, Issue 6 https://doi.org/10.1371/journal.pone.0010949	journal	June 2010
Quantitative Whole Body Biodistribution of Fluorescent-Labeled Agents by Non-Invasive Tomographic Imaging Vasquez, Kristine O.; Casavant, Chelsea; Peterson, Jeffrey D. PLoS ONE, Vol. 6, Issue 6 https://doi.org/10.1371/journal.pone.0020594	journal	June 2011
Impact of Diffusion Barriers to Small Cytotoxic Molecules on the Efficacy of Immunotherapy in Breast Cancer Das, Hiranmoy; Wang, Zhihui; Niazi, M. Khalid Khan PLoS ONE, Vol. 8, Issue 4 https://doi.org/10.1371/journal.pone.0061398	journal	April 2013
Dynamics of Nanoparticle-Protein Corona Complex Formation: Analytical Results from Population Balance Equations Darabi Sahneh, Faryad; Scoglio, Caterina; Riviere, Jim PLoS ONE, Vol. 8, Issue 5 https://doi.org/10.1371/journal.pone.0064690	journal	May 2013
Predictive Modeling of Drug Response in Non-Hodgkin’s Lymphoma Frieboes, Hermann B.; Smith, Bryan R.; Wang, Zhihui PLOS ONE, Vol. 10, Issue 6 https://doi.org/10.1371/journal.pone.0129433	journal	June 2015
Mifamurtide for the treatment of nonmetastatic osteosarcoma Ando, Kosei; Mori, Kanji; Corradini, Nedège Expert Opinion on Pharmacotherapy, Vol. 12, Issue 2 https://doi.org/10.1517/14656566.2011.543129	journal	January 2011
Liposomal nanomedicines Fenske, David B.; Cullis, Pieter R. Expert Opinion on Drug Delivery, Vol. 5, Issue 1 https://doi.org/10.1517/17425247.5.1.25	journal	December 2007
The Receptor-Mediated Endocytosis of Nonspherical Particles Decuzzi, P.; Ferrari, M. Biophysical Journal, Vol. 94, Issue 10 https://doi.org/10.1529/biophysj.107.120238	journal	May 2008
Preclinical Evaluation of Genexol-PM, a Nanoparticle Formulation of Paclitaxel, as a Novel Radiosensitizer for the Treatment of Non-Small Cell Lung Cancer Z., Wang, Andrew; T., Moore, Dominic; E., Werner, Michael The University of North Carolina at Chapel Hill University Libraries https://doi.org/10.17615/bpdk-je84	text	January 2013
Iodine-125 radiolabeling of silver nanoparticles for in vivo SPECT imaging No authors listed International Journal of Nanomedicine https://doi.org/10.2147/ijn.s11677	journal	September 2010
Albumin-bound formulation of paclitaxel (Abraxane® ABI-007) in the treatment of breast cancer Tomao, Silverio International Journal of Nanomedicine https://doi.org/10.2147/ijn.s3061	journal	April 2009
A physiologically based pharmacokinetic model for ionic silver and silver nanoparticles No authors listed International Journal of Nanomedicine https://doi.org/10.2147/ijn.s46624	journal	September 2013
Pharmacokinetics of Pegylated Liposomal Doxorubicin: Review of Animal and Human Studies Gabizon, Alberto; Shmeeda, Hilary; Barenholz, Yechezkel Clinical Pharmacokinetics, Vol. 42, Issue 5 https://doi.org/10.2165/00003088-200342050-00002	journal	January 2003
Emerging Role of the Spleen in the Pharmacokinetics of Monoclonal Antibodies, Nanoparticles and Exosomes Cataldi, Mauro; Vigliotti, Chiara; Mosca, Teresa International Journal of Molecular Sciences, Vol. 18, Issue 6 https://doi.org/10.3390/ijms18061249	journal	June 2017
Coarse-grained model of adsorption of blood plasma proteins onto nanoparticles Lopez, Hender; Lobaskin, Vladimir arXiv https://doi.org/10.48550/arxiv.1508.01450	text	January 2015
Nanoparticle pharmacokinetic profiling in vivo using magnetic resonance imaging: Pharmacokinetic Profiling of Nanoparticles With MRI Neubauer, Anne M.; Sim, Hoon; Winter, Patrick M. Magnetic Resonance in Medicine, Vol. 60, Issue 6 https://doi.org/10.1002/mrm.21795	journal	November 2008
Dynamic Positron Emission Tomography Imaging of Renal Clearable Gold Nanoparticles Chen, Feng; Goel, Shreya; Hernandez, Reinier Small, Vol. 12, Issue 20 https://doi.org/10.1002/smll.201600194	journal	April 2016
Continuous and Discrete Mathematical Models of Tumor-induced Angiogenesis Anderson, A. Bulletin of Mathematical Biology, Vol. 60, Issue 5 https://doi.org/10.1006/bulm.1998.0042	journal	September 1998
The Effective Dispersion of Nanovectors Within the Tumor Microvasculature Decuzzi, P.; Causa, F.; Ferrari, M. Annals of Biomedical Engineering, Vol. 34, Issue 4 https://doi.org/10.1007/s10439-005-9072-6	journal	March 2006
The Transport of Nanoparticles in Blood Vessels: The Effect of Vessel Permeability and Blood Rheology Gentile, Francesco; Ferrari, Mauro; Decuzzi, Paolo Annals of Biomedical Engineering, Vol. 36, Issue 2 https://doi.org/10.1007/s10439-007-9423-6	journal	January 2008
Evaluation of Drug-Loaded Gold Nanoparticle Cytotoxicity as a Function of Tumor Vasculature-Induced Tissue Heterogeneity Miller, Hunter A.; Frieboes, Hermann B. Annals of Biomedical Engineering, Vol. 47, Issue 1 https://doi.org/10.1007/s10439-018-02146-4	journal	October 2018
Understanding Drug Resistance in Breast Cancer with Mathematical Oncology Brocato, Terisse; Dogra, Prashant; Koay, Eugene J. Current Breast Cancer Reports, Vol. 6, Issue 2 https://doi.org/10.1007/s12609-014-0143-2	journal	April 2014
Pharmacokinetics of the Urokinase Receptor-Derived Peptide UPARANT After Single and Multiple Doses Administration in Rats Ciccone, Michele; D’Alonzo, Daniele; Cangiano, Alfonsina Mariarosaria European Journal of Drug Metabolism and Pharmacokinetics, Vol. 46, Issue 1 https://doi.org/10.1007/s13318-020-00654-0	journal	October 2020
Development of a Pediatric Physiologically-Based Pharmacokinetic Model of Clindamycin Using Opportunistic Pharmacokinetic Data Hornik, Christoph P.; Wu, Huali; Edginton, Andrea N. Clinical Pharmacokinetics, Vol. 56, Issue 11 https://doi.org/10.1007/s40262-017-0525-5	journal	March 2017
The adhesive strength of non-spherical particles mediated by specific interactions Decuzzi, P.; Ferrari, M. Biomaterials, Vol. 27, Issue 30 https://doi.org/10.1016/j.biomaterials.2006.05.024	journal	October 2006
Preclinical Evaluation of Genexol-PM, a Nanoparticle Formulation of Paclitaxel, as a Novel Radiosensitizer for the Treatment of Non-Small Cell Lung Cancer Werner, Michael E.; Cummings, Natalie D.; Sethi, Manish International Journal of Radiation OncologyBiologyPhysics, Vol. 86, Issue 3 https://doi.org/10.1016/j.ijrobp.2013.02.009	journal	July 2013
Rapid tumoritropic accumulation of systemically injected plateloid particles and their biodistribution van de Ven, Anne L.; Kim, Pilhan; Haley, O'Hara Journal of Controlled Release, Vol. 158, Issue 1 https://doi.org/10.1016/j.jconrel.2011.10.021	journal	February 2012
The effect of interstitial pressure on tumor growth: Coupling with the blood and lymphatic vascular systems Wu, Min; Frieboes, Hermann B.; McDougall, Steven R. Journal of Theoretical Biology, Vol. 320 https://doi.org/10.1016/j.jtbi.2012.11.031	journal	March 2013
Delivery success rate of engineered nanoparticles in the presence of the protein corona: a systems-level screening Dell'Orco, Daniele; Lundqvist, Martin; Cedervall, Tommy Nanomedicine: Nanotechnology, Biology and Medicine, Vol. 8, Issue 8 https://doi.org/10.1016/j.nano.2012.02.006	journal	November 2012
Tracking T-cells in vivo with a new nano-sized MRI contrast agent Liu, Li; Ye, Qing; Wu, Yijen Nanomedicine: Nanotechnology, Biology and Medicine, Vol. 8, Issue 8 https://doi.org/10.1016/j.nano.2012.02.017	journal	November 2012
Combined mathematical modelling and experimentation to predict polymersome uptake by oral cancer cells Sorrell, Ian; Shipley, Rebecca J.; Hearnden, Vanessa Nanomedicine: Nanotechnology, Biology and Medicine, Vol. 10, Issue 2 https://doi.org/10.1016/j.nano.2013.08.013	journal	February 2014
A two-step model of TiO 2 nanoparticle toxicity in human liver tissue Laomettachit, T.; Puri, I. K.; Liangruksa, M. Toxicology and Applied Pharmacology, Vol. 334 https://doi.org/10.1016/j.taap.2017.08.018	journal	November 2017
Physical Principles of Nanoparticle Cellular Endocytosis Zhang, Sulin; Gao, Huajian; Bao, Gang ACS Nano, Vol. 9, Issue 9 https://doi.org/10.1021/acsnano.5b03184	journal	August 2015
Mechanistic Modeling Identifies Drug-Uptake History as Predictor of Tumor Drug Resistance and Nano-Carrier-Mediated Response Pascal, Jennifer; Ashley, Carlee E.; Wang, Zhihui ACS Nano, Vol. 7, Issue 12 https://doi.org/10.1021/nn4048974	journal	November 2013
Investigating the Impact of Nanoparticle Size on Active and Passive Tumor Targeting Efficiency Sykes, Edward A.; Chen, Juan; Zheng, Gang ACS Nano, Vol. 8, Issue 6 https://doi.org/10.1021/nn500299p	journal	May 2014
In Vivo Biodistribution and Clearance Studies Using Multimodal Organically Modified Silica Nanoparticles Kumar, Rajiv; Roy, Indrajit; Ohulchanskky, Tymish Y. ACS Nano, Vol. 4, Issue 2 https://doi.org/10.1021/nn901146y	journal	January 2010
Renal clearance of quantum dots Soo Choi, Hak; Liu, Wenhao; Misra, Preeti Nature Biotechnology, Vol. 25, Issue 10 https://doi.org/10.1038/nbt1340	journal	September 2007
Mechanism of hard-nanomaterial clearance by the liver Tsoi, Kim M.; MacParland, Sonya A.; Ma, Xue-Zhong Nature Materials, Vol. 15, Issue 11 https://doi.org/10.1038/nmat4718	journal	August 2016
Biomolecular coronas provide the biological identity of nanosized materials Monopoli, Marco P.; Åberg, Christoffer; Salvati, Anna Nature Nanotechnology, Vol. 7, Issue 12 https://doi.org/10.1038/nnano.2012.207	journal	December 2012
Therapeutic targeting of TP53-mutated acute myeloid leukemia by inhibiting HIF-1α with echinomycin Wang, Yin; Liu, Yan; Bailey, Christopher Oncogene, Vol. 39, Issue 14 https://doi.org/10.1038/s41388-020-1201-z	journal	February 2020
On the near-wall accumulation of injectable particles in the microcirculation: smaller is not better Lee, Tae-Rin; Choi, Myunghwan; Kopacz, Adrian M. Scientific Reports, Vol. 3, Issue 1 https://doi.org/10.1038/srep02079	journal	June 2013
Margination of micro- and nano-particles in blood flow and its effect on drug delivery Müller, Kathrin; Fedosov, Dmitry A.; Gompper, Gerhard Scientific Reports, Vol. 4, Issue 1 https://doi.org/10.1038/srep04871	journal	May 2014
Modelling the Transport of Nanoparticles under Blood Flow using an Agent-based Approach Fullstone, Gavin; Wood, Jonathan; Holcombe, Mike Scientific Reports, Vol. 5, Issue 1 https://doi.org/10.1038/srep10649	journal	June 2015
Tranilast-induced stress alleviation in solid tumors improves the efficacy of chemo- and nanotherapeutics in a size-independent manner Papageorgis, Panagiotis; Polydorou, Christiana; Mpekris, Fotios Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/srep46140	journal	April 2017
Influence of red blood cells on nanoparticle targeted delivery in microcirculation Tan, Jifu; Thomas, Antony; Liu, Yaling Soft Matter, Vol. 8, Issue 6 https://doi.org/10.1039/C2SM06391C	journal	January 2012
A closer look into the ubiquitin corona on gold nanoparticles by computational studies Tavanti, Francesco; Pedone, Alfonso; Menziani, Maria Cristina New Journal of Chemistry, Vol. 39, Issue 4 https://doi.org/10.1039/C4NJ01752H	journal	January 2015
Dual-radiolabeled nanoparticle SPECT probes for bioimaging Black, Kvar C. L.; Akers, Walter J.; Sudlow, Gail Nanoscale, Vol. 7, Issue 2 https://doi.org/10.1039/C4NR05269B	journal	January 2015
Dynamic density functional theory of protein adsorption on polymer-coated nanoparticles Angioletti-Uberti, Stefano; Ballauff, Matthias; Dzubiella, Joachim Soft Matter, Vol. 10, Issue 40 https://doi.org/10.1039/C4SM01170H	journal	January 2014
Enhanced performance of macrophage-encapsulated nanoparticle albumin-bound-paclitaxel in hypo-perfused cancer lesions Leonard, Fransisca; Curtis, Louis T.; Yesantharao, Pooja Nanoscale, Vol. 8, Issue 25 https://doi.org/10.1039/C5NR07796F	journal	January 2016
Machine learning provides predictive analysis into silver nanoparticle protein corona formation from physicochemical properties Findlay, Matthew R.; Freitas, Daniel N.; Mobed-Miremadi, Maryam Environmental Science: Nano, Vol. 5, Issue 1 https://doi.org/10.1039/C7EN00466D	journal	January 2018
Understanding and modulating the competitive surface-adsorption of proteins through coarse-grained molecular dynamics simulations Vilaseca, Pol; Dawson, Kenneth A.; Franzese, Giancarlo Soft Matter, Vol. 9, Issue 29 https://doi.org/10.1039/c3sm50220a	journal	January 2013
Coarse-grained model of adsorption of blood plasma proteins onto nanoparticles Lopez, Hender; Lobaskin, Vladimir The Journal of Chemical Physics, Vol. 143, Issue 24 https://doi.org/10.1063/1.4936908	journal	December 2015
Tailoring nanoparticle designs to target cancer based on tumor pathophysiology Sykes, Edward A.; Dai, Qin; Sarsons, Christopher D. Proceedings of the National Academy of Sciences, Vol. 113, Issue 9 https://doi.org/10.1073/pnas.1521265113	journal	February 2016
Pros and Cons of the Liposome Platform in Cancer Drug Targeting Gabizon, Alberto A.; Shmeeda, Hilary; Zalipsky, Samuel Journal of Liposome Research, Vol. 16, Issue 3 https://doi.org/10.1080/08982100600848769	journal	January 2006
Pegylated Liposomal Doxorubicin: Metamorphosis of an Old Drug into a New Form of Chemotherapy Gabizon, Alberto A. Cancer Investigation, Vol. 19, Issue 4 https://doi.org/10.1081/CNV-100103136	journal	January 2001
Protein adsorption on nanoparticles: model development using computer simulation Shao, Qing; Hall, Carol K. Journal of Physics: Condensed Matter, Vol. 28, Issue 41 https://doi.org/10.1088/0953-8984/28/41/414019	journal	August 2016
Analytical model of magnetic nanoparticle transport and capture in the microvasculature Furlani, E. P.; Ng, K. C. Physical Review E, Vol. 73, Issue 6 https://doi.org/10.1103/PhysRevE.73.061919	journal	June 2006
Scale-Invariant Behavior and Vascular Network Formation in Normal and Tumor Tissue Gazit, Yuval; Berk, David A.; Leunig, Michael Physical Review Letters, Vol. 75, Issue 12 https://doi.org/10.1103/PhysRevLett.75.2428	journal	September 1995
Editorial Special Section on Multiscale Cancer Modeling Wang, Z.; Maini, P. K. IEEE Transactions on Biomedical Engineering, Vol. 64, Issue 3 https://doi.org/10.1109/TBME.2017.2655439	journal	March 2017
A pregnancy physiologically based pharmacokinetic (p-PBPK) model for disposition of drugs metabolized by CYP1A2, CYP2D6 and CYP3A4: PBPK for pregnancy with time-varying physiological parameters Gaohua, Lu; Abduljalil, Khaled; Jamei, Masoud British Journal of Clinical Pharmacology, Vol. 74, Issue 5 https://doi.org/10.1111/j.1365-2125.2012.04363.x	journal	October 2012
Nanodiamond Therapeutic Delivery Agents Mediate Enhanced Chemoresistant Tumor Treatment Chow, E. K.; Zhang, X. -Q.; Chen, M. Science Translational Medicine, Vol. 3, Issue 73 https://doi.org/10.1126/scitranslmed.3001713	journal	March 2011
Physiologically Based Pharmacokinetic Modeling: Methodology, Applications, and Limitations with a Focus on Its Role in Pediatric Drug Development Khalil, Feras; Läer, Stephanie Journal of Biomedicine and Biotechnology, Vol. 2011 https://doi.org/10.1155/2011/907461	journal	January 2011
Development of a Highly Active Nanoliposomal Irinotecan Using a Novel Intraliposomal Stabilization Strategy Drummond, Daryl C.; Noble, Charles O.; Guo, Zexiong Cancer Research, Vol. 66, Issue 6 https://doi.org/10.1158/0008-5472.CAN-05-4007	journal	March 2006
Phase I and Pharmacokinetic Study of Genexol-PM, a Cremophor-Free, Polymeric Micelle-Formulated Paclitaxel, in Patients with Advanced Malignancies Kim, T. -Y. Clinical Cancer Research, Vol. 10, Issue 11 https://doi.org/10.1158/1078-0432.CCR-03-0655	journal	June 2004
A modeling analysis of the effects of molecular size and binding affinity on tumor targeting Schmidt, M. M.; Wittrup, K. D. Molecular Cancer Therapeutics, Vol. 8, Issue 10 https://doi.org/10.1158/1535-7163.MCT-09-0195	journal	October 2009
Transport properties of pancreatic cancer describe gemcitabine delivery and response Koay, Eugene J.; Truty, Mark J.; Cristini, Vittorio Journal of Clinical Investigation, Vol. 124, Issue 4 https://doi.org/10.1172/JCI73455	journal	March 2014
Tracking T-cells in vivo with a new nano-sized MRI contrast agent. Liu, Li; Ye, Qing; Wu, Yi-Jen L. Carnegie Mellon University https://doi.org/10.1184/r1/6104564	text	January 2012
Physiologic upper limits of pore size of different blood capillary types and another perspective on the dual pore theory of microvascular permeability Sarin, Hemant Journal of Angiogenesis Research, Vol. 2, Issue 1 https://doi.org/10.1186/2040-2384-2-14	journal	January 2010
Preclinical evaluation of genexol-PM, a nanoparticle formulation of paclitaxel, as a novel radiosensitizer for the treatment of non-small cell lung cancer. Wang, Andrew; Cummings, Natalie Dawn; Sethi, Manish Journal of Clinical Oncology, Vol. 31, Issue 15_suppl https://doi.org/10.1200/jco.2013.31.15_suppl.e13546	journal	May 2013
A Computational Model for Predicting Nanoparticle Accumulation in Tumor Vasculature Frieboes, Hermann B.; Wu, Min; Lowengrub, John PLoS ONE, Vol. 8, Issue 2 https://doi.org/10.1371/journal.pone.0056876	journal	February 2013
A Mathematical Model of the Enhanced Permeability and Retention Effect for Liposome Transport in Solid Tumors Stapleton, Shawn; Milosevic, Michael; Allen, Christine PLoS ONE, Vol. 8, Issue 12 https://doi.org/10.1371/journal.pone.0081157	journal	December 2013
Nanomedicines for Cancer Therapy: An Update of FDA Approved and Those under Various Stages of Development Pillai, Gopalakrishna SOJ Pharmacy & Pharmaceutical Sciences, Vol. 1, Issue 2 https://doi.org/10.15226/2374-6866/1/1/00109	journal	January 2014
Nanomedicines for Cancer Therapy: An Update of FDA Approved and Those under Various Stages of Development Pillai, Gopalakrishna SOJ Pharmacy & Pharmaceutical Sciences https://doi.org/10.15226/2374-6866/1/2/00109	journal	January 2014
Targeted delivery of albumin bound paclitaxel in the treatment of advanced breast cancer Di Costanzo, Francesco OncoTargets and Therapy https://doi.org/10.2147/OTT.S3863	journal	July 2009
Antitumor Effect of Nanoparticle ¹³¹ I-Labeled Arginine-Glycine-Aspartate–Bovine Serum Albumin–Polycaprolactone in Lung Cancer Ming, Hui; Fang, Lei; Gao, Jingmei American Journal of Roentgenology, Vol. 208, Issue 5 https://doi.org/10.2214/AJR.16.16947	journal	May 2017
New-concept chemotherapy by nanoparticles of biodegradable polymers: where are we now? Feng, Si-Shen Nanomedicine, Vol. 1, Issue 3 https://doi.org/10.2217/17435889.1.3.297	journal	October 2006
Physiologically based pharmacokinetic modeling of polyethylene glycol-coated polyacrylamide nanoparticles in rats Li, Dingsheng; Johanson, Gunnar; Emond, Claude Nanotoxicology, Vol. 8, Issue sup1 https://doi.org/10.3109/17435390.2013.863406	journal	January 2014
Liposomal Formulations in Clinical Use: An Updated Review Bulbake, Upendra; Doppalapudi, Sindhu; Kommineni, Nagavendra Pharmaceutics, Vol. 9, Issue 4 https://doi.org/10.3390/pharmaceutics9020012	journal	March 2017
Physiologically based pharmacokinetic modeling of polyethylene glycol-coated polyacrylamide nanoparticles in rats Li, Dingsheng; Johanson, Gunnar; Emond, Claude Taylor & Francis https://doi.org/10.6084/m9.figshare.3799506	text	January 2016
Physiologically based pharmacokinetic modeling of polyethylene glycol-coated polyacrylamide nanoparticles in rats Li, Dingsheng; Johanson, Gunnar; Emond, Claude Taylor & Francis https://doi.org/10.6084/m9.figshare.3799506.v1	text	January 2016
Establishing the effects of mesoporous silica nanoparticle properties on in vivo disposition using imaging-based pharmacokinetics Dogra, Prashant figshare https://doi.org/10.6084/m9.figshare.7339484	dataset	January 2018

Cited By (5)

Spatio-temporal aspects of the interplay of cancer and the immune system Zhdanov, Vladimir P. Journal of Biological Physics, Vol. 45, Issue 4 https://doi.org/10.1007/s10867-019-09535-3	journal	November 2019
Understanding nanoparticle flow with a new in vitro experimental and computational approach using hydrogel channels Boutchuen, Armel; Zimmerman, Dell; Arabshahi, Abdollah Beilstein Journal of Nanotechnology, Vol. 11 https://doi.org/10.3762/bjnano.11.22	journal	January 2020
Improving nanotherapy delivery and action through image-guided systems pharmacology Ng, Thomas S. C.; Garlin, Michelle A.; Weissleder, Ralph Theranostics, Vol. 10, Issue 3 https://doi.org/10.7150/thno.37215	journal	January 2020
Size‐Optimized Ultrasmall Porous Silica Nanoparticles Depict Vasculature‐Based Differential Targeting in Triple Negative Breast Cancer Goel, Shreya; Ferreira, Carolina A.; Dogra, Prashant Small, Vol. 15, Issue 46 https://doi.org/10.1002/smll.201903747	journal	September 2019
Nanomaterials for cancer medication: from individual nanoparticles toward nanomachines and nanorobots Loukanov, Alexandre; Nikolova, Svetla; Filipov, Chavdar Pharmacia, Vol. 66, Issue 3 https://doi.org/10.3897/pharmacia.66.e37739	journal	December 2019

Similar Records

Protein-Based Nanomedicine Platforms for Drug Delivery

Journal Article · Mon Aug 03 00:00:00 EDT 2009 · Small, 5(15):1706-1721 · OSTI ID:964222

Multifunctional Protocells for Enhanced Penetration in 3D Extracellular Tumoral Matrices

Journal Article · Thu Dec 14 23:00:00 EST 2017 · Chemistry of Materials · OSTI ID:1469638

Related Subjects

60 APPLIED LIFE SCIENCES
97 MATHEMATICS AND COMPUTING
Agent-based modeling
Cancer treatment
Drug transport
Engineering
Mechanistic modeling
Multiscale
Pharmacokinetics and pharmacodynamics
Science & Technology - Other Topics

Mathematical modeling in cancer nanomedicine: a review

Citation Formats

References (151)

Cited By (5)

Similar Records

Related Subjects