Mathematical Investigation into the Role of Cell-cell Communication Pathways on Collective Cell Migration (First Grant Scheme)

Keyphrases

1. 1D Model 10%
2. Adhesive Cell 5%
3. Aggregation Dynamics 6%
4. Aggregation Model 20%
5. Aggregation Patterns 9%
6. Alignment Process 6%
7. Analysis Simulation 6%
8. Animal Aggregation 69%
9. Animal Cells 6%
10. Antitumor 22%
11. Applied Mathematics 6%
12. Attraction-repulsion 6%
13. Avoidance Behavior 20%
14. Berlin 6%
15. Biological Aggregation 38%
16. Biological Mechanisms 16%
17. Biological Parameters 6%
18. Biological Perspective 6%
19. Biological Processes 20%
20. Branches of Solutions 6%
21. Cancer Cell Growth 20%
22. Cancer Cell Populations 36%
23. Cancer Cells 29%
24. Cancer Control 15%
25. Cancer Eradication 5%
26. Cancer Invasion 55%
27. Cancer Metastasis 12%
28. Cancer mutations 10%
29. Cancer Outcomes 20%
30. Cancer Progression 20%
31. CD4+ T Cells 20%
32. CD8+ T Cells 8%
33. Cell Adhesion 52%
34. Cell Aggregates 10%
35. Cell Aggregation 31%
36. Cell Alignment 6%
37. Cell Behavior 10%
38. Cell Differentiation 20%
39. Cell Growth 8%
40. Cell Motility 12%
41. Cell Movement 43%
42. Cell number 15%
43. Cell Polarization 20%
44. Cell Population 10%
45. Cell Proliferation 10%
46. Cell Ratio 20%
47. Cell Repulsion 6%
48. Cell Segregation 10%
49. Cell Sorting 20%
50. Cell-cell Interaction 19%
51. Cell-matrix Adhesion 10%
52. Cell-to-cell 10%
53. Cellular Aggregates 10%
54. Center Manifold Reduction 20%
55. Center Manifold Theorem 13%
56. Center Manifold Theory 6%
57. Chemical Gradient 10%
58. Chemical Signals 20%
59. Chemical Source 10%
60. Chemotactic Response 10%
61. Chemotactic Sensitivity 10%
62. Clinical Immunology 6%
63. Clonal Heterogeneity 8%
64. Codimension-two Bifurcation 20%
65. Collective Response 20%
66. Complex Behavior 10%
67. Delicate Balance 9%
68. Dictyostelium 10%
69. Dictyostelium Discoideum 20%
70. Differential Cell 10%
71. Directed Motion 10%
72. Dominant Behavior 6%
73. Effector Cells 20%
74. Equivariant 6%
75. Extracellular Matrix Degradation 10%
76. Forms of Communication 6%
77. Fredholm Property 13%
78. Global Existence of Weak Solutions 5%
79. Group Behavior 13%
80. Group-theoretic Approach 6%
81. Heterogeneous Cell Population 20%
82. Heterogeneous Population 6%
83. Hopf 27%
84. Hopf Bifurcation 15%
85. Hyperbolic Equations 6%
86. Hyperbolic Model 45%
87. Hyperbolic Partial Differential Equations 20%
88. Immune Cells 23%
89. Immune Response 27%
90. Immunology 26%
91. In Cancer 12%
92. Individual Cells 10%
93. Individual Communications 8%
94. Industrial Mathematics 6%
95. Infinite Dimension 6%
96. Innate Response 6%
97. Integrin 20%
98. Interaction Process 6%
99. Interaction Terms 6%
100. Isotropy 6%
101. Kinetic Model 20%
102. Kinetic Theory 20%
103. Learning Behavior 20%
104. Linear Analysis 6%
105. Linear Operator 6%
106. Local Bifurcation 6%
107. Lyapunov-Schmidt 20%
108. Lyapunov-Schmidt Reduction 13%
109. M1 Cells 8%
110. M1 Macrophages 29%
111. M2 Macrophages 33%
112. Macrophage Heterogeneity 20%
113. Macrophage Plasticity 20%
114. Macrophages 41%
115. Macroscopic Model 20%
116. Mathematical Immunology 13%
117. Mathematical Mechanism 6%
118. Mathematical Model 100%
119. Mathematical Modeling of Cancer 20%
120. Mathematical Tools 6%
121. Melanoma Treatment 20%
122. Memory Cell 10%
123. Memory Population 5%
124. Metastatic Potential 6%
125. Mode Interaction 13%
126. Multiple Aspects 10%
127. New Mathematical Model 6%
128. New Pattern 6%
129. Nonlocal Interactions 6%
130. Nonlocal Kinetics 20%
131. Nonlocal PDE 20%
132. Nonlocal Term 6%
133. Numerical Simulation 13%
134. O(2) Symmetry 6%
135. Oncolytic Virotherapy 20%
136. Ordinary Differential Equations 10%
137. Parabolic Limit 19%
138. Parabolic Model 47%
139. Parabolic PDEs 5%
140. Partial Differential Equation Model 13%
141. Pattern Formation 55%
142. PDE Modeling 20%
143. Periodic Boundary Conditions 6%
144. Phenotypic Heterogeneity 8%
145. Physiological Characteristics 6%
146. Prespore 20%
147. Prestalk 15%
148. Prestalk Cell 10%
149. Primary Branches 6%
150. Pro-tumor 17%
151. Proliferation Ability 6%
152. Psychological Characteristics 6%
153. Reduction Method 20%
154. Repolarization 25%
155. Secondary Bifurcation 6%
156. Self-model 20%
157. Self-organised Aggregations 27%
158. Self-organization 10%
159. Self-organized Structures 10%
160. Self-propelled Particle Model 10%
161. Sensitivity Analysis 10%
162. Signal Relay 20%
163. Signaling Pathway 20%
164. Small Fraction 6%
165. SO 2 6%
166. Spatial Dynamics 12%
167. Spatial Segregation 6%
168. Spatial Structure 10%
169. Spatially Separated 6%
170. Spatiotemporal Pattern 20%
171. Stable Coexistence 6%
172. Stage Effect 5%
173. Steady State 27%
174. Steady State Bifurcation 6%
175. Steady-state Mode 6%
176. Steady-state Solution 6%
177. Step-by-step Approach 6%
178. Th1 Cells 22%
179. Th1 Immune Response 12%
180. Th2 Cells 8%
181. Tissue Morphogenesis 10%
182. Transdifferentiation 15%
183. Transforming Growth Factor-β 20%
184. Transition Rates 10%
185. Traveling Wave Dynamics 20%
186. Tumor 21%
187. Tumor Cells 48%
188. Tumor Dormancy 12%
189. Tumor Dynamics 26%
190. Tumor Elimination 8%
191. Tumor Growth 24%
192. Tumor Heterogeneity 20%
193. Tumor Proliferation 20%
194. Tumor Size 15%
195. Tumor-immune System 8%
196. Turning Behavior 6%
197. Two-population Model 20%
198. Type 2 Immune Response 26%
199. Weakly Nonlinear Analysis 6%
200. Whole Population 6%