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Research Output 1969 2019

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Article
2019

Synergistic effects of bortezomib-OV therapy and anti-invasive strategies in glioblastoma: A mathematical model

Kim, Y., Lee, J., Lee, D. & Othmer, H. G., Feb 1 2019, In : Cancers. 11, 2, 215.

Research output: Contribution to journalArticle

Open Access
Oncolytic Virotherapy
Glioblastoma
Theoretical Models
Tumor Microenvironment
Oncolytic Viruses
2018
1 Citation (Scopus)

A Model for the Hippo Pathway in the Drosophila Wing Disc

Gou, J., Lin, L. & Othmer, H. G., Aug 21 2018, In : Biophysical journal. 115, 4, p. 737-747 11 p.

Research output: Contribution to journalArticle

Drosophila
Cell Communication
Cell Polarity
Cadherins
Growth

Analysis of a model microswimmer with applications to blebbing cells and mini-robots

Wang, Q. & Othmer, H. G., Jun 1 2018, In : Journal of Mathematical Biology. 76, 7, p. 1699-1763 65 p.

Research output: Contribution to journalArticle

robots
Blister
Robot
Robots
Pectinidae
1 Citation (Scopus)

Getting in shape and swimming: the role of cortical forces and membrane heterogeneity in eukaryotic cells

Wu, H., de León, M. A. P. & Othmer, H. G., 2018, In : Journal of Mathematical Biology. 77, 3, p. 1-32 32 p.

Research output: Contribution to journalArticle

Open Access
Eukaryotic Cells
eukaryotic cells
Membrane
Membranes
Cell

Noise-induced mixing and multimodality in reaction networks

Plesa, T., Erban, R. A. D. E. K. & Othmer, H. G., Jan 1 2018, (Accepted/In press) In : European Journal of Applied Mathematics.

Research output: Contribution to journalArticle

Reaction Network
Multimodality
Probability Distribution
Genes
Probability distributions
2017
4 Citations (Scopus)
Photobleaching
Fluorescence Recovery After Photobleaching
Drosophilidae
Pattern Formation
Fluorescence
17 Citations (Scopus)

The Role of the Tumor Microenvironment in Glioblastoma: A Mathematical Model

Kim, Y., Jeon, H. & Othmer, H. G., Mar 1 2017, In : IEEE Transactions on Biomedical Engineering. 64, 3, p. 519-527 9 p., 7778236.

Research output: Contribution to journalArticle

Tumors
Mathematical models
Cells
Macrophages
Immune system
2016
8 Citations (Scopus)
Dictyostelium discoideum
Signal transduction
Dictyostelium
Signal Transduction
Symmetry Breaking
6 Citations (Scopus)

A multi-time-scale analysis of chemical reaction networks: II. Stochastic systems

Kan, X., Lee, C. H. & Othmer, H. G., Nov 1 2016, In : Journal of Mathematical Biology. 73, 5, p. 1081-1129 49 p.

Research output: Contribution to journalArticle

Chemical Reaction Networks
Stochastic systems
chemical reactions
Stochastic Systems
Chemical reactions
1 Citation (Scopus)

Cell-based, continuum and hybrid models of tissue dynamics

Othmer, H. G., Nov 1 2016, In : Lecture Notes in Mathematics. 2167

Research output: Contribution to journalArticle

Continuum Model
Hybrid Model
Cell
Metastasis
Signal Transduction
6 Citations (Scopus)

Computational analysis of amoeboid swimming at low Reynolds number

Wang, Q. & Othmer, H. G., Jun 1 2016, In : Journal of Mathematical Biology. 72, 7, p. 1893-1926 34 p.

Research output: Contribution to journalArticle

Computational Analysis
Low Reynolds number
Reynolds number
Dictyostelium discoideum
Dictyostelium
2015
4 Citations (Scopus)

Constant-complexity stochastic simulation algorithm with optimal binning

Sanft, K. R. & Othmer, H. G., Aug 21 2015, In : Journal of Chemical Physics. 143, 7, 074108.

Research output: Contribution to journalArticle

simulation
Computational complexity
Trajectories
trajectories
scaling
9 Citations (Scopus)

The Role of Mathematical Models in Understanding Pattern Formation in Developmental Biology

Umulis, D. M. & Othmer, H. G., May 30 2015, In : Bulletin of Mathematical Biology. 77, 5, p. 817-845 29 p.

Research output: Contribution to journalArticle

Developmental Biology
developmental biology
Mathematics
mathematics
Pattern Formation
2014
13 Citations (Scopus)

Stochastic Analysis of Reaction-Diffusion Processes

Hu, J., Kang, H. W. & Othmer, H. G., Jan 1 2014, In : Bulletin of Mathematical Biology. 76, 4, p. 854-894 41 p.

Research output: Contribution to journalArticle

Stochastic Analysis
Reaction-diffusion
Diffusion Process
Chemical Phenomena
Biological Phenomena
2013
16 Citations (Scopus)

A Continuum Model of Actin Waves in Dictyostelium discoideum

Khamviwath, V., Hu, J. & Othmer, H. G., May 31 2013, In : PLoS One. 8, 5, e64272.

Research output: Contribution to journalArticle

Dictyostelium discoideum
Dictyostelium
actin
Actins
Network components
37 Citations (Scopus)

A Hybrid Model of Tumor-Stromal Interactions in Breast Cancer

Kim, Y. & Othmer, H. G., Aug 1 2013, In : Bulletin of Mathematical Biology. 75, 8, p. 1304-1350 47 p.

Research output: Contribution to journalArticle

Hybrid Model
Breast Cancer
tumor
breast neoplasms
Tumors
8 Citations (Scopus)
Signal transduction
bacteria
Signal Transduction
Bacteria
Control systems
2012
25 Citations (Scopus)

A new conceptual paradigm for the haemodynamics of salt-sensitive hypertension: A mathematical modelling approach

Averina, V. A., Othmer, H. G., Fink, G. D. & Osborn Jr, J. W., Dec 1 2012, In : Journal of Physiology. 590, 23, p. 5975-5992 18 p.

Research output: Contribution to journalArticle

Natriuresis
Salts
Hemodynamics
Hypertension
Arterial Pressure
19 Citations (Scopus)

A new method for choosing the computational cell in stochastic reaction-diffusion systems

Kang, H. W., Zheng, L. & Othmer, H. G., Jan 1 2012, In : Journal of Mathematical Biology. 65, 6-7, p. 1017-1099 83 p.

Research output: Contribution to journalArticle

Reaction-diffusion System
Cell Size
Stochastic Systems
Cell
Covariance matrix
11 Citations (Scopus)

A "Trimer of Dimers"-Based Model for the Chemotactic Signal Transduction Network in Bacterial Chemotaxis

Xin, X. & Othmer, H. G., Oct 1 2012, In : Bulletin of Mathematical Biology. 74, 10, p. 2339-2382 44 p.

Research output: Contribution to journalArticle

chemotaxis
Signal transduction
Signal Transduction
Chemotaxis
Dimer
9 Citations (Scopus)

The effect of the signalling scheme on the robustness of pattern formation in development

Kang, H. W., Zheng, L. & Othmer, H. G., Aug 6 2012, In : Interface Focus. 2, 4, p. 465-486 22 p.

Research output: Contribution to journalArticle

Gene expression
Tissue
Gene Expression
2011
7 Citations (Scopus)
pioglitazone
Actin
Filament
Actin Cytoskeleton
actin
26 Citations (Scopus)

Radial and spiral stream formation in proteus mirabilis colonies

Xue, C., Budrene, E. O. & Othmer, H. G., Dec 1 2011, In : PLoS Computational Biology. 7, 12, e1002332.

Research output: Contribution to journalArticle

Proteus mirabilis
Cell
Chirality
Biofilms
Pathogens
2010
34 Citations (Scopus)

A multi-time-scale analysis of chemical reaction networks: I. Deterministic systems

Lee, C. H. & Othmer, H. G., Sep 1 2010, In : Journal of Mathematical Biology. 60, 3, p. 387-450 64 p.

Research output: Contribution to journalArticle

Chemical Reaction Networks
chemical reactions
Chemical reactions
Time Scales
Reaction Network
62 Citations (Scopus)

Organism-Scale Modeling of Early Drosophila Patterning via Bone Morphogenetic Proteins

Umulis, D. M., Shimmi, O., O'Connor, M. B. & Othmer, H. G., Feb 16 2010, In : Developmental Cell. 18, 2, p. 260-274 15 p.

Research output: Contribution to journalArticle

Bone Morphogenetic Proteins
Drosophila
Gene expression
Embryonic Structures
Feedback
2009
71 Citations (Scopus)

Multi-scale models of cell and tissue dynamics

Stolarska, M. A., Yangjin, K. I. M. & Othmer, H. G., Sep 13 2009, In : Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 367, 1902, p. 3525-3553 29 p.

Research output: Contribution to journalArticle

multiscale models
Multiscale Model
Tissue
Cell
cells
81 Citations (Scopus)

Multiscale models of taxis-driven patterning in bacterial populations

Xue, C. & Othmer, H. G., Jul 1 2009, In : SIAM Journal on Applied Mathematics. 70, 1, p. 133-167 35 p.

Research output: Contribution to journalArticle

Signal transduction
Multiscale Model
Patterning
Bacteria
Cells
22 Citations (Scopus)

Spatiotemporal characteristics of calcium dynamics in astrocytes

Kang, M. & Othmer, H. G., Jan 1 2009, In : Chaos. 19, 3, 037116.

Research output: Contribution to journalArticle

Adenosine
adenosines
Calcium
calcium
Wave propagation
40 Citations (Scopus)

The intersection of theory and application in elucidating pattern formation in developmental biology

Othmer, H. G., Painter, K., Umulis, D. & Xue, C., Jan 1 2009, In : Mathematical Modelling of Natural Phenomena. 4, 4, p. 3-82 80 p.

Research output: Contribution to journalArticle

Developmental Biology
Pattern Formation
Intersection
Cells
Experiments
2008
112 Citations (Scopus)

The BMP-Binding Protein Crossveinless 2 Is a Short-Range, Concentration-Dependent, Biphasic Modulator of BMP Signaling in Drosophila

Serpe, M., Umulis, D., Ralston, A., Chen, J., Olson, D. J., Avanesov, A., Othmer, H. G., O'Connor, M. B. & Blair, S. S., Jun 10 2008, In : Developmental Cell. 14, 6, p. 940-953 14 p.

Research output: Contribution to journalArticle

Gastrulation
Modulators
Drosophila
Carrier Proteins
Type I Bone Morphogenetic Protein Receptors
2007
103 Citations (Scopus)

A hybrid model for tumor spheroid growth in vitro I: Theoretical development and early results

Yangjin, K., Stolarska, M. A. & Othmer, H. G., Oct 19 2007, In : Mathematical Models and Methods in Applied Sciences. 17, SUPPL. 1, p. 1773-1798 26 p.

Research output: Contribution to journalArticle

Tumor Growth
Hybrid Model
Tumors
Continuum
Cell
14 Citations (Scopus)

A stochastic analysis of actin polymerization in the presence of twinfilin and gelsolin

Matzavinos, A. & Othmer, H. G., Dec 21 2007, In : Journal of Theoretical Biology. 249, 4, p. 723-736 14 p.

Research output: Contribution to journalArticle

Gelsolin
Administrative data processing
Microfilament Proteins
Stochastic Analysis
Actin
20 Citations (Scopus)

A theoretical approach to actin filament dynamics

Hu, J., Matzavinos, A. & Othmer, H. G., Jul 1 2007, In : Journal of Statistical Physics. 128, 1-2, p. 111-138 28 p.

Research output: Contribution to journalArticle

Actin
Filament
filaments
Time Scales
Invariant Distribution
38 Citations (Scopus)
taxis (physiology)
Statistics
Cell
cells
Periodic Wave
15 Citations (Scopus)

The variety of cytosolic calcium responses and possible roles of PLC and PKC

Kang, M. & Othmer, H. G., Jan 1 2007, In : Physical Biology. 4, 4, p. 325-343 19 p.

Research output: Contribution to journalArticle

Type C Phospholipases
Protein Kinase C
Calcium
Endoplasmic Reticulum
Sarcoplasmic Reticulum Calcium-Transporting ATPases
2006
3 Citations (Scopus)

A model for a G-protein-mediated mechanism for synaptic channel modulation

Soto, G. & Othmer, H. G., Apr 1 2006, In : Mathematical Biosciences. 200, 2, p. 188-213 26 p.

Research output: Contribution to journalArticle

G Protein
G-proteins
Calcium
GTP-Binding Proteins
Modulation
34 Citations (Scopus)

An equation-free computational approach for extracting population-level behavior from individual-based models of biological dispersal

Erban, R., Kevrekidis, I. G. & Othmer, H. G., Mar 1 2006, In : Physica D: Nonlinear Phenomena. 215, 1, p. 1-24 24 p.

Research output: Contribution to journalArticle

random walk
ecology
pulse detonation engines
simulation
cues
90 Citations (Scopus)

Robust, bistable patterning of the dorsal surface of the Drosophila embryo

Umulis, D. M., Serpe, M., O'Connor, M. B. & Othmer, H. G., Aug 1 2006, In : Proceedings of the National Academy of Sciences of the United States of America. 103, 31, p. 11613-11618 6 p.

Research output: Contribution to journalArticle

Bone Morphogenetic Proteins
Drosophila
Embryonic Structures
Bone Morphogenetic Protein Receptors
Protein Binding
2005
25 Citations (Scopus)

Application of coarse integration to bacterial chemotaxis

Setayeshgar, S., Gear, C. W., Othmer, H. G. & Kevrekidis, I. G., Dec 1 2005, In : Multiscale Modeling and Simulation. 4, 1, p. 307-327 21 p.

Research output: Contribution to journalArticle

chemotaxis
Chemotaxis
Signal transduction
Time Scales
Chemotactic Factors
110 Citations (Scopus)

A stochastic analysis of first-order reaction networks

Gadgil, C., Chang, H. L. & Othmer, H. G., Sep 1 2005, In : Bulletin of Mathematical Biology. 67, 5, p. 901-946 46 p.

Research output: Contribution to journalArticle

Conversion Disorder
Reaction Network
Stochastic Analysis
Topology
Poisson Distribution
205 Citations (Scopus)

Facilitated transport of a Dpp/Scw heterodimer by Sog/Tsg leads to robust patterning of the Drosophila blastoderm embryo

Shimmi, O., Umulis, D., Othmer, H. G. & O'Connor, M. B., Mar 25 2005, In : Cell. 120, 6, p. 873-886 14 p.

Research output: Contribution to journalArticle

Blastoderm
Drosophila
Type I Bone Morphogenetic Protein Receptors
Embryonic Structures
Ligands
162 Citations (Scopus)

From individual to collective behavior in bacterial chemotaxis

Erban, R. & Othmer, H. G., Jun 13 2005, In : SIAM Journal on Applied Mathematics. 65, 2, p. 361-391 31 p.

Research output: Contribution to journalArticle

Collective Behavior
Chemotaxis
Jump Process
Hyperbolic Equations
Internal
2004
115 Citations (Scopus)

A continuum model of motility in ameboid cells

Gracheva, M. E. & Othmer, H. G., Jan 1 2004, In : Bulletin of Mathematical Biology. 66, 1, p. 167-193 27 p.

Research output: Contribution to journalArticle

Motility
Continuum Model
motility
cell movement
locomotion
23 Citations (Scopus)

Aggregation under local reinforcement: From lattice to continuum

Horstmann, D., Painter, K. J. & Othmer, H. G., Oct 1 2004, In : European Journal of Applied Mathematics. 15, 5, p. 545-576 32 p.

Research output: Contribution to journalArticle

Reinforcement
Aggregation
Continuum
Agglomeration
Reinforced Random Walk
22 Citations (Scopus)
Signal Transduction
Escherichia coli
Flagella
Kinesis
Stochastic Processes
22 Citations (Scopus)

Dynamic Receptor Team Formation Can Explain the High Signal Transduction Gain in Escherichia coli

Albert, R., Chiu, Y. W. & Othmer, H. G., Jan 1 2004, In : Biophysical Journal. 86, 5, p. 2650-2659 10 p.

Research output: Contribution to journalArticle

Signal Transduction
Escherichia coli
Flagella
Kinesis
Stochastic Processes
82 Citations (Scopus)

How cellular movement determines the collective force generated by the Dictyostelium discoideum slug

Dallon, J. C. & Othmer, H. G., Nov 21 2004, In : Journal of Theoretical Biology. 231, 2, p. 203-222 20 p.

Research output: Contribution to journalArticle

Dictyostelium discoideum
Gastropoda
Dictyostelium
slugs
cell movement
2003
16 Citations (Scopus)

Localization in lattice and continuum models of reinforced random walks

Painter, K. J., Horstmann, D. & Othmer, H. G., Apr 1 2003, In : Applied Mathematics Letters. 16, 3, p. 375-381 7 p.

Research output: Contribution to journalArticle

Reinforced Random Walk
Continuum Model
Lattice Model
Singular Limit
Agglomeration
45 Citations (Scopus)

Short- and long-range effects of Sonic hedgehog in limb development

Dillon, R., Gadgil, C. & Othmer, H. G., Sep 2 2003, In : Proceedings of the National Academy of Sciences of the United States of America. 100, 18, p. 10152-10157 6 p.

Research output: Contribution to journalArticle

Hedgehogs
Extremities
Signal Transduction
Hedgehog Proteins
Ligands
2002
220 Citations (Scopus)

The diffusion limit of transport equations II: Chemotaxis equations

Othmer, H. G. & Hillen, T., Apr 1 2002, In : SIAM Journal on Applied Mathematics. 62, 4, p. 1222-1250 29 p.

Research output: Contribution to journalArticle

Diffusion Limit
Chemotaxis
Transport Equation
Motion
Bacteria